In a survey of 2261 adults, 700 say they believe in UFOs Construct a 95% confidence interval for the population proportion of adults who believe in UFOs.
A 95% confidence interval for the population proportion is (___ - ___) (Round to three decimal places as needed) Interpret your results Choose the correct answer below :
A. With 95% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval B. With 95% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval C. With 95% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval D. The endpoints of the given confidence interval shows that 95% of adults believe in UFOS
Answers
A 95% confidence interval for the population proportion is (0.305 - 0.338).
A 95% confidence interval provides an estimate of the range within which the true population proportion is likely to fall. In this case, the confidence interval is (0.305 - 0.338), which means that with 95% confidence, we can say that the proportion of adults who believe in UFOs in the population is between 0.305 and 0.338.
This interpretation is based on the statistical concept that if we were to repeat the survey multiple times and construct 95% confidence intervals for each sample, approximately 95% of those intervals would contain the true population proportion. Therefore, we can be confident (with 95% confidence) that the true proportion lies within the calculated interval.
To know more about confidence interval,
https://brainly.com/question/17104921
#SPJ11
Related Questions
Could some one pllz give me real answers
Answers
Answer:
See below
Step-by-step explanation:
You just need 1/4 of everything:
1/4 c peanut butter
1/4 c brown sugar
1/4 c gran sugar
1/4 c butter
1/2 egg
1/4 tsp baking soda
1/4 tsp baking powder
1/4 tsp vanilla
5/8 c flour
Peanut Butter: 1 cup > 1/4 cup
Brown Sugar: 1 cup > 1/4 cup
Granulated Sugar: 1 > 1/4 cup
Butter: 1 > 1/4 cup
Eggs: 2 eggs > 1/2 egg
Baking Soda: 1 tsp > 1/4 tsp
Baking Powder: 1 tsp > 1/4 tsp
Vanilla: 1 tsp > 1/4 tsp
Flour: 2.5 cups > .625 cups
Fermat's Little Theorem a. State and prove Fermat's Little Theorem. b. State and prove/disprove the contrapositive of Fermat's Little Theorem. c. In plain language, explain what Fermat's Little Theorem means and discuss the importance it's importance in Mathematics.
Answers
a. Statement and Proof of Fermat's Little Theorem:
Fermat's Little Theorem concerns primes and integers in number theory.
Fermat's Little Theorem asserts that when a positive integer a, which is not divisible by a prime number p, is raised to the power of (p-1), the resultant remainder upon division by p will be 1.
So it will be: \(\\ a ^(^p^-^1) = 1 (mod p)\)
What is Fermat's Little TheoremThe Evidence has been gathered to substantiate this claim is:
In order to demonstrate the validity of Fermat's Little Theorem, we will examine a scenarios: one where a is divisible by p and the other where a is not divisible by p.If a is divisible by p, then a can be written as the product of p and a positive integer k. Expressing the value of a to the power of p minus one in relation to k and p can be achieved through utilization of the equation (k multiplied by p) raised to the power of p minus one.
By performing a simplification of the given expression, we can obtain the outcome where "a" to the power of "p" minus one is equivalent to "k" to the power of "p" minus one times "p" to the power of "p" minus one.
Learn more about Fermat's Little Theorem from
https://brainly.com/question/30761350
#SPJ4
omggg thank you so much for helping meeee ily
Answers
When you remove the parentheses you add the 5+6=11 then add the -3i+5i=2i
A department store gives away a $10 gift card to every 20th customer and a $15 gift card to every 45th customer.
a. Which customer will be the first to receive both gift cards? Customer # 180
b. After this customer receives both gift cards, what is the total amount in gift cards that the store has given away? S 150
Explanation : 45x4=180 20x9=180 15x4=60 10x9=90 90+60=150 hope this helps !
Answers
Answer:5x4=180 20x9=180 15x4=60 10x9=90 90+60=150
Step-by-step explanation:
As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
Answers
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller.
Learn more about standard deviation
brainly.com/question/13905583
#SPJ4
Use a graphing calculator to find the line of best fit for the data on the graph. All of the points shown have integer coordinates.
Answers
Given:
The graph of data points.
To find:
The equation of the best fit line by using the graphing calculator.
Solution:
The general form of a best fit line is:
\(y=mx+b\) ...(i)
Where, m is the slope and b is the y-intercept.
Using the graphing calculator, we get
\(m\approx 1.423\)
\(b\approx 11.698\)
Substituting \(m\approx 1.423, b\approx 11.698\) in (i), we get
\(y=1.423x+11.698\)
Therefore, the equation of the best fit line is \(y=1.423x+11.698\) and its graph is shown below.
in triangle ABC, bisectors of angle A and angle C cross each other in point M. find angle ABC if it is half of AMC. (no shape given)
Answers
Answer:
\(\angle ABC=60\)
Step-by-step explanation:
\([Kindly\ refer\ the\ image\ attachment.]\\We\ are\ given\ that,\\AM\ is\ the\ Angle\ Bisector\ of\ \angle BAC.\\Hence,\\\angle BAM= \angle MAC\\CM\ is\ the\ Angle\ Bisector\ of\ \angle BCA.\\Hence,\\\angle BCM= \angle MCA.\\Also,\\\angle AMC=2 \angle ABC\)
\(Now,\\As\ we\ can\ observe\ that,\\\angle BCM + \angle MCA= \angle BCA\\\angle MCA+ \angle MCA= \angle BCA\ [\angle BCM = \angle MCA]\\Hence,\\2 \angle MCA= \angle BCA\\Or, \\\angle MCA=\frac{\angle BCA}{2} \\\\Similarly,\\\angle BAM + \angle MAC= \angle BAC\\\angle MAC + \angle MAC= \angle BAC\\2 \angle MAC = \angle BAC\\Or,\\\angle MAC=\frac{\angle BAC}{2}\)
\(Through\ the\ Angle\ Sum\ Property\ of\ a\ Triangle,\ we\ know\ that:\\'The\ Sum\ of\ all\ interior\ angles\ of\ a\ triangle\ is\ 180.'\\Hence,\\In\ \triangle BAC,\\\angle ABC + \angle BCA + \angle CAB=180\\In\ \triangle MAC,\\\angle MAC+ \angle ACM + \angle AMC=180\)
\(Hence,\\As\ \angle AMC= 2 \angle ABC, \angle MCA=\frac{\angle BCA}{2}, \angle MAC=\frac{\angle BAC}{2},\\2 \angle ABC+\frac{\angle BCA}{2}+\frac{\angle BAC}{2}=180\\By\ resolving\ the\ denominators,\\\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}=180\\\\By\ comparing\ the\ Sum\ of\ angles\ in\ both\ the\ triangles,\\We\ find\ that\ the\ RHS\ of\ both\ the\ equations\ are\ equal\ i.e.180,\\The\ LHS\ of\ the\ equations\ are\ equal\ too.\\\)
\(Hence,\\\angle ABC+ \angle BCA + \angle BAC=\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}\\Hence,\\2(\angle ABC+ \angle BCA + \angle BAC)=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle ABC+ 2 \angle BCA + 2 \angle BAC=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle BCA + 2 \angle BAC-\angle BCA- \angle BAC=4 \angle ABC- 2 \angle ABC\\Hence,\\\angle BCA+\angle BAC= 2\angle ABC\)
\(Lets\ get\ back\ to\ the\ Angle\ Sum\ of\ \triangle ABC,\\\angle ABC + \angle BAC + \angle ACB=180\\Hence,\\As\ \angle BCA + \angle BAC= 2 \angle ABC,\\\angle ABC + 2 \angle ABC=180\\Hence,\\3 \angle ABC=180\\\angle ABC=\frac{180}{3}=60\)
Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is
$3. 50. Her total cost to produce 80 T-shirts is $370, and she sells them for $7 each.
a. Find the linear cost function for Joanne's T-shirt production.
b. How man T-shirts must she produce and sell in order to break even?
c. How many T-shirts must she produce and sell to make a profit of $800?
Answers
C(x) = 3.50x + 70 is the linear cost function for Joanne's T-shirt manufacture.
To break even, Joanne needs to create and sell 20 T-shirts.
For a $800 profit, Joanne has to print and sell 240 T-shirts.
a. Let C(x) be the cost function for producing x T-shirts. Since Joanne's marginal cost is $3.50 per T-shirt, her total cost for producing x T-shirts can be expressed as:
C(x) = 3.50x + FC
where FC is the fixed cost of production. We can solve for FC using the information that her total cost to produce 80 T-shirts is $370:
C(80) = 3.50(80) + FC = $370
Simplifying, we get:
FC = $70
Therefore, the linear cost function for Joanne's T-shirt production is:
C(x) = 3.50x + 70
b. To break even, Joanne's total revenue from selling x T-shirts must equal her total cost of producing them. Her revenue from selling x T-shirts can be expressed as:
R(x) = 7x
Setting R(x) equal to C(x), we get:
7x = 3.50x + 70
Simplifying and solving for x, we get:
x = 20
Therefore, Joanne must produce and sell 20 T-shirts to break even.
c. To make a profit of $800, Joanne's total revenue from selling x T-shirts must exceed her total cost of producing them by $800. This can be expressed as:
7x - (3.50x + 70) = $800
Simplifying and solving for x, we get:
x = 240
Therefore, Joanne must produce and sell 240 T-shirts to make a profit of $800.
To learn more about marginal cost visit;
https://brainly.com/question/7781429
#SPJ4
Does the function f(x) = 25e-2x represent exponential growth, decay, or neither?
Answers
The given function f(x) = 25e^(-2x) represent the exponential decay.
According to th egiven question.
We have an exponential function.
f(x) = 25e^(-2x)
As we know that
If \(P = P_{o} e^{-kt}\) be an exponential function, then it will represent
an exponential growth if 0 < e^(-k) < 1an exponential decay if e^(-k) >1Where,
P is the final amount
\(P_{o}\) is the intial amount
t is the time interval
k is the constant of proportionality
For the given question if we compare the given exponential function with the standard exponentential function we get
\(P_{o}\) = 25
k = 2
and t = x
Now,
e^(-2) = 0.13
Since, e^(-2) < 1.
Hence, the given function f(x) = 25e^(-2x) represent the exponential decay.
Find out more informationa about exponential decay and exponential growth here:
https://brainly.com/question/14355665
#SPJ4
Study the image and complete the sentence.
The image shows panels that convert
example of using
sources,
to electricity. This is an
Answers
Answer: Choice A) Solar energy; renewable
The image shows panels that convert solar energy to electricity. This is an example of using renewable sources.
This is in contrast to something like coal energy which is nonrenewable. Coal is finite and will run out some day, unlike the sun's energy which won't run out any time soon. Sure it will eventually die off in about 5 billion years or so, but that timescale is much longer compared to the amount of coal is left. So this is a benefit to using renewable resources.
A registered person has received a gift that's valued at $150 from the finra member firm through which her firm clears trades. this gift is considered:_____.
Answers
According to gift economy A registered person has received a gift that's valued at $150 from the finra member firm through which her firm clears trades. this gift is considered Excessive.
According to the statement
we have given that the person has received a gift that's valued at $150 from the FINRA member firm through the traders. And we have to find about the type gift.
So, For this purpose, we know that the
A gift economy is one in which services or goods are given without an agreement as to a suitable payment or trade to be made in return.
And
The gift economy recognizes that in the real world, this is only a partial understanding of what motivates individuals and communities. The gift economy places greater value on qualitative relationships between dependent people. The commodity economy places greater value on quantitative trade of goods.
That's why, A registered person has received a gift that's valued at $150 from the finra member firm through which her firm clears trades. this gift is considered Excessive.
So, According to gift economy. A registered person has received a gift that's valued at $150 from the finra member firm through which her firm clears trades. this gift is considered Excessive.
Learn more about gift economy here
https://brainly.com/question/15115779
#SPJ4
why do you think a compass needle always points north? (write your initial ideas. it is ok if you are unsure about them.)
Answers
The compass needle always points north because it is magnetic north pole.
Earth has magnetic field due to magnetic elements present in Earth's core in molten form. They are assumed to be in the form of giant bar to ease the calculations concerning magnetic field and polarity. The assumptions are geographic south pole harbours magnetic north pole and vice versa for the opposite pole.
So, we know that like poles attract each other and unlike poles repel each other. The north end of magnetic needle will point towards the magnetic south pole which is geographic north pole. Thus, we see compass needle directed to North pole.
Learn more about magnets -
https://brainly.com/question/2320811
#SPJ4
Write 2 mixed numbers that have a sum of 3.
Answers
Answer: 1 1/3 and 1 2/3
Step-by-step explanation:
please mark brainliest
suppose we run an experiment where you toss a fair coin 6 times. what is the probability that you will toss exactly 2 heads? a. 0.0156 b. none of these c. 0.2344 d. 0.0938 e. 0.3750
Answers
Answer:
Step-by-step explanation:
Answer for this question is option (c) 0.2344
Approach:
The probability of getting a Head in single toss
x= 1/2
The probability of not getting a Head in single toss
y= 1 - 1/2 = 1/2
Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses
= ⁶C₂ * (1/2)² * (1/2)⁶⁻²
= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)
= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)
= 15/64
= 0.234374
= 0.2344 (Round off value)
#SPJ4
Given:
A fair coin is tossed 6 times.
To find:
Probability that you will toss exactly 2 heads.
Probability that you will get a head in a single toss is: Q = 1/2
Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2
We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)
Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²
Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)
Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)
Probability = 15 / 64
Probability = 0.234374
Probability = 0.2344
Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344
Find out more about probability from: https://brainly.com/question/11234923?referrer=searchResults
#SPJ4
Solve the multi step problem below Parts a through e (it’s all one question)
Answers
Compound Interest
The final value (FV) of an investment P after t years is calculated with the formula:
\(FV=P(1+\frac{r}{m})^{m\cdot t}\)Where r is the annual interest rate and m is the number of compounding periods per year.
We are given the following data:
P = $7000
t = 13 years
r = 7% = 7 / 100 = 0.07
The compounding period varies from part to part.
a) Annually
In this case, m = 1 because the money compounds once per year. Applying the formula:
\(FV=7000(1+\frac{0.07}{1})^{1\cdot13}\)Calculating:
\(\begin{gathered} FV=7000(1.07)^{13} \\ \\ FV=16868.92 \end{gathered}\)The final value is $16868.92
b) Semiannually. The money compounds twice a year, so m = 2. Applying the formula:
\(\begin{gathered} FV=7000(1+\frac{0.07}{2})^{2\cdot13} \\ \\ FV=7,000(1+0.035)^{26} \\ \\ FV=17121.71 \end{gathered}\)The final value is $17121.71
c) Quarterly. The money compounds 4 times a year, so m = 4. Applying the formula again:
\(\begin{gathered} FV=7000(1+\frac{0.07}{4})^{4\cdot13} \\ \\ FV=7,000(1+0.0175)^{52} \\ \\ FV=17253.92 \end{gathered}\)The final value is $17253.92
d) Daily (calendar year). In this case, we use m = 365:
\(\begin{gathered} FV=7000(1+\frac{0.07}{365})^{365\cdot13} \\ \\ FV=7,000(1+0.0001917808)^{4745} \\ \\ FV=17388.74 \end{gathered}\)The final value is $17388.74
e) Continuously. We use a slightly different formula here:
\(FV=P\cdot e^{rt}\)Applying the formula:
\(\begin{gathered} FV=7000\cdot e^{0.07\cdot13} \\ \\ FV=17390.26 \end{gathered}\)The final value is $17390.26
A professor supervising 6 6 students (three juniors and three seniors) randomly selects three of the students to participate in a research project. If jane is one of the three juniors and at least one junior and at least one senior are selected, what is the probability jane works on the research project?
Answers
There is a 50% chance that Jane will work on the research project if at least one junior and at least one senior are selected.
The total number of ways the professor can choose 3 students from 6 is:
6C3 = 20
There are three cases to consider: (1) 1 junior and 2 seniors are selected, (2) 2 juniors and 1 senior are selected, and (3) 3 juniors are selected.
Case 1: 1 junior and 2 seniors are selected. The number of ways to choose 1 junior and 2 seniors is:
3C1 x 3C2 = 9
From the 3 juniors, Jane is already selected. From the 3 seniors, the professor can choose 2 in 3C2 = 3 ways. So there are 3 ways for Jane to work on the research project in this case.
Case 2: 2 juniors and 1 senior are selected. The number of ways to choose 2 juniors and 1 senior is:
3C2 x 3C1 = 9
From the 2 remaining juniors (excluding Jane), the professor can choose 1 in 2 ways. From the 3 seniors, the professor can choose 1 in 3 ways. So there are 2 x 3 = 6 ways for Jane to work on the research project in this case.
Case 3: 3 juniors are selected. The number of ways to choose 3 juniors is:
3C3 = 1
Since Jane is one of the 3 juniors, there is only one way for her to work on the research project in this case.
Therefore, the total number of ways for Jane to work on the research project is 3 + 6 + 1 = 10. The probability of Jane working on the research project is:
P(Jane works on project) = 10/20 = 0.5
So there is a 50% chance that Jane will work on the research project if at least one junior and at least one senior are selected.
Learn more about total number here:
https://brainly.com/question/28850076
#SPJ11
if pml is congruent to trq find qr?
Answers
Answer:
16
Step-by-step explanation:
1. Start Time: 3:30 P.M.
End Time: 7:00 P.M.
Elapsed Time:
Answers
Answer:
7:00 = 6:60
Step-by-step explanation:
6:60 - 3:30 = 3 hours and 30 minutes
Somebody help me please
Answers
Answer:
b
c
a
d
Step-by-step explanation:
sum=addition
difference=subtraction
groups=hints multiplication
split into=division
Answer:
sum of no and 12 is 12+xdifference b/w 12 and a no is 12-x12 groups of some no is 12xsome no of people split into 12 rows is x/12Hope this helps!
\(15^{-4}\) ÷ \((-3)^{0}\) · \((\frac{1}{5} )^{-4}\)
Answers
Answer:
1/81
Step-by-step explanation:
a) Assume that nothing is known about the percentage of adults who have heard of the brand.
confidence interval is requested,
b) Assume that a recent survey suggests that about 78% of adults have heard of the brand.
c) Given that the required sample size is relatively small, could he simply survey the adults at the nearestcollege?
Answers
In order to find the confidence interval, we must first find the sample size, the sample proportion and the margin of error. Since nothing is known about the percentage of adults who have heard of the brand, we assume a worst-case scenario, where the sample proportion is 0.5 or 50%. The margin of error, E can be set at 5% or 0.05. The formula for the sample size is:
n= z2 * p * q / E2
Where:
z = the z-score
p = the sample proportion
q = 1-p
E = the margin of error
n = the sample size
z is the z-score associated with the desired confidence level. For a 95% confidence level, the z-score is 1.96. Hence:
n = (1.96)2 * 0.5 * 0.5 / (0.05)2
n = 384.16 ≈ 385
The sample size required to achieve a 95% confidence interval with a 5% margin of error is 385.
b) Since a recent survey suggests that about 78% of adults have heard of the brand, we can use this value for p instead of 0.5. The formula for the sample size becomes:
n= z2 * p * q / E2
Where:
z = the z-score
p = the sample proportion
q = 1-p
E = the margin of error
n = the sample size
z is the z-score associated with the desired confidence level. For a 95% confidence level, the z-score is 1.96. Hence:
n = (1.96)2 * 0.78 * 0.22 / (0.05)2
n = 371.41 ≈ 372
The sample size required to achieve a 95% confidence interval with a 5% margin of error is 372.
To achieve a representative sample, the survey should be conducted on adults from diverse backgrounds and regions to ensure a range of opinions are captured.
To know more about range visit:
https://brainly.com/question/29204101
#SPJ11
let do be the nondeterministic loop do x ≠ 0 ➞ x := x-1; y := y 1 ☐ x ≠ 0 ➞ x := x-1; y := y 2 od
Answers
Thus, the output of the loop is non-deterministic.
Let us consider the loop and the conditions given:
While the condition `x ≠ 0` holds, the loop will continue.
Within the loop, there are two possible paths: `y:=y1` or `y:=y2`.
Since the path to take is non-deterministic, there are two possible outputs:
Either y will be assigned a value of y1 or y2.
Here, it is impossible to determine which assignment will be executed; there is no way to know if x will be decremented once or twice.
This demonstrates that the behavior is non-deterministic, and the possible outputs are `[y1,y2]`.
Thus, the output of the loop is non-deterministic.
https://brainly.com/question/32094006?referrer=searchResults
#SPJ11
James bought x pounds of apples for $1.79 per pound and y pounds of bananas for $1.29 per pound. The expression shown below represents the total amount of dollars that James paid. Select the part or parts of the expression that represent the total cost in dollars of the bananas.
Answers
DOLLARS CENTS DOLLARS CENTS
Area = 44 ft2
(x – 12) ft
(x - 5) ft
Answers
Answer:
x = 16 feet
Step-by-step explanation:
I'm guessing the shape given is a rectangle? Anyways, to find the area we multiply the sides, this gives us the equation:
(x - 12)(x - 5) = 44
We can distribute to get
x^2 - 12x - 5x + 60 = 44
x^2 - 17x + 60 = 44
Now, to get the equation equal to zero, we can subtract 44 from both sides:
x^2 - 17x + 16 = 0
To factor this, we are looking for two numbers that multiply to 16 and add up to -17. These two numbers are -1 & -16, therefore, the factored form is:
(x - 1)(x - 16) = 0
We can use the zero product property to say x = 1 and x = 16. We can cross out the solution x = 1, because when plugged in, we get side lengths less than one. So the sole answer is x = 16.
The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?
Answers
Answer:
It is 4
Step-by-step explanation:
I NEED HELP BEFORE 12:00 I’ll do anything
Answers
Circle | was dilated with the orgin as the center of dilation to create Circle ||.
Which rule best represents the dilation applied to Circle | to create Circle ||?
Answers
Step-by-step explanation:
The rule that best represents the dilation applied to Circle | to create Circle || is the scale factor. The scale factor determines the ratio of corresponding lengths between the original figure (Circle |) and the dilated figure (Circle ||).
In a dilation, all lengths in the original figure are multiplied by the scale factor to obtain the corresponding lengths in the dilated figure. This includes the radii of the circles.
For example, if the scale factor is 2, it means that every length in the original figure is doubled in the dilated figure. If the scale factor is 1/2, it means that every length is halved. The scale factor can be greater than 1, less than 1 (but greater than 0), or even negative, indicating a reflection.
In the context of the given scenario, since the origin is the center of dilation, the scale factor determines how the distances from the origin to any point on Circle | are scaled to obtain the corresponding distances on Circle ||.
Please come and help really quick please thank you
Answers
Answer:
1: 6
2: The initial amount of water in the fountain
3: The amout of water in the fountain over an amount of time
4: y= 3/2x+6
Step-by-step explanation:
9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.
Answers
Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step Explanation:
we know that
The volume of a cube is equal to
V = b^3
where b is the length side of the cube
In this problem we have
b = 2m
substitute in the formula of volume
V = 2^3
V = 8 m^3
therefore
The unit of measure appropriate is cubic metre (m³)
A restaurant offers pizzas with 2 types of crust, 7 different toppings, and in 5 different sizes. how many different pizzas could be ordered?
Answers
There are 70 different types of pizzas could be ordered
A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter
Given,
Number of options on crust=2
Number of options on topping= 7
Number of options on size= 5
Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes
The total number ways of ordering pizza=2×7×5=70
Hence, there are 70 different types of pizzas could be ordered
Learn more about Combination here
brainly.com/question/13387529
#SPJ4