\(\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{w}{4}~~ = ~~\cfrac{2}{~~1 \frac{2 }{3 } ~~}\implies \cfrac{w}{4}~~ = ~~\cfrac{2}{~~ \frac{5 }{3 } ~~}\implies \cfrac{w}{4}~~ = ~~\cfrac{\frac{2}{1}}{~~ \frac{5 }{3 } ~~}\implies \cfrac{w}{4}=\cfrac{2}{1}\cdot \cfrac{3}{5} \\\\\\ \cfrac{w}{4}=\cfrac{6}{5}\implies 5w=24\implies w=\cfrac{24}{5}\implies {\Large \begin{array}{llll} w=4\frac{4}{5} \end{array}}\)
Which of the following is larger and why? (Math 8th)
4.235 x 104 and 7.152 x 103
Answer:
4.245 x 10^4
Step-by-step explanation:
10^4 = 10,000
10^3 = 1,000
4.235 * 10,000 = 42,350
7.152 * 1,000 = 7,152
y+z=4 y-z=8
how to solve this problem
Use elimination
y + z = 4
y - z = 8
Subtract both
2z = -4, z = -2
Y - 2 = 4, y = 6
Solution: y = 6, z = -2
Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Solving for the area and scale factor we have:
L= 5 units
W = 2 units
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
Learn more about area on
https://brainly.com/question/29082330
#SPJ1
please help i dont understand
Answer:
\( \frac{ {y}^{2} }{4 {x}^{5} } \)
Can someone please help
Answer:
B
Step-by-step explanation:
-4+4=0
If the temperature starts at -4 four and increases by 4, the temperature will be 0.
PLEASE HELP ME I NEED TO PASSS
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
The asymptote is y = - 1
f(x) is positive for all x-values less than 1.
The y-intercept is 3
The domain is all real numbers
As x increases , f(x) approaches , but never reaches, -1
The x-intercept is 2.
The range is all real numbers
graph is in the picture
Answer:
Step-by-step explanation:
When x =3 y=-1
X =2 y =0
X=0 y =3
X = -1 y=6
So c g d f true
Answer:
F
Step-by-step explanation:
T/F The interquartile range IQR is found by subtracting the mean from the maximum value of a data set.
The IQR is calculated as the difference between the 75th and 25th percentiles of a dataset. It is not found by subtracting the mean from the maximum value of the dataset.
What is data?Data is the collection of data term that is organized and formatted in a specific way it typically contains fact observations or statistics that are collected through a process of measurement or research data set can be used to answer the question and help make an informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make a prediction.
According to the given information:The interquartile range (IQR) is a statistical measure used to describe the spread or dispersion of a dataset. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the dataset. In other words, the IQR represents the range of the middle 50% of the data.
To calculate the IQR, you first need to determine the median of the dataset. The median is the middle value of the dataset when it is arranged in order from smallest to largest. Then, you divide the dataset into two halves based on this median value: the lower half (values smaller than the median) and the upper half (values larger than the median).
Next, you determine the median of each of these halves separately. The median of the lower half is the first quartile (Q1), and the median of the upper half is the third quartile (Q3).
Finally, the IQR is calculated as the difference between Q3 and Q1 (IQR = Q3 - Q1).
So, to sum up, the IQR is not found by subtracting the mean from the maximum value of a dataset, but instead by calculating the difference between the 75th and 25th percentiles of the dataset.
Therefore, The IQR is calculated as the difference between the 75th and 25th percentiles of a dataset. It is not found by subtracting the mean from the maximum value of the dataset.
To know more about data click-
brainly.com/question/14592520
#SPJ1
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is
0.15 and the probability that the flight will be delayed is 0.12. The probability that it
will not rain and the flight will leave on time is 0.81. What is the probability that the
flight would be delayed when it is not raining? Round your answer to the nearest
thousandth.
The probability that the flight would be delayed when it is not raining is 0.12.
Probability calculation.
Let R be the event that it rains, D be the event that the flight is delayed, and T be the event that the flight leaves on time. We know that:
P(R) = 0.15
P(D) = 0.12
P(T and not R) = 0.81
We want to find P(D and not R). We can use the formula:
P(D and not R) = P(D) - P(D and R)
To find P(D and R), we can use the formula:
P(D and R) = P(D or R) - P(D) - P(R)
We can find P(D or R) using the formula:
P(D or R) = P(D) + P(R) - P(D and R)
Substituting the values we know, we get:
P(D or R) = 0.12 + 0.15 - P(D and R)
P(D or R) = 0.27 - P(D and R)
And:
P(D and R) = P(D or R) - P(D) - P(R)
P(D and R) = 0.27 - 0.12 - 0.15
P(D and R) = 0
Substituting this into the first formula, we get:
P(D and not R) = P(D) - P(D and R)
P(D and not R) = 0.12 - 0
P(D and not R) = 0.12
Therefore, the probability that the flight would be delayed when it is not raining is 0.12.
Learn more about probability below.
https://brainly.com/question/251701
#SPJ1
Answer:
0.120
Step-by-step explanation:
0.85/0.04
0.047
=0.120
Which set of rational numbers is arranged from least to greatest?
(a) −3.5, negative 1 over 4 , 2, 1 over 3 (b) −3.5, negative 1 over 4 , 1 over 3 , 2 (c) 2, 1 over 3 , negative 1 over 4 , −3.5 (d) negative 1 over 4 , 1 over 3 , 2, −3.5
The set of rational numbers that is arranged from least to greatest is (b) −3.5, negative 1 over 4 , 1 over 3 , 2
What is a rational number?A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.
A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. 3/7, for example, is a rational number, as is any integer.
In this case, the arrangement will be -3.5, -1/4, 1/3 and 2.
Learn more about numbers on:
https://brainly.com/question/25734188
#SPJ1
Is 9/9 less than, greater than, or equal to 7?
Answer:
less than
Step-by-step explanation:
Find the values of the six trigonometric functions for the angle in standard position determined by each point.
(-8,-15)
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.
First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)^2 + (-15)^2) = √(64 + 225) = √289 = 17.
Next, we can determine the values of the trigonometric functions:
1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
To know more about trigonometric functions visit:-
https://brainly.com/question/29090818
#SPJ11
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.
First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)² + (-15)²) = √(64 + 225) = √289 = 17.
Next, we can determine the values of the trigonometric functions:
1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
Learn more about trigonometric functions here:
https://brainly.com/question/33816628
#SPJ4
How much time has passed from the first clock to the second clock?
Which statements are true for the following expression? 30 · (8 + 7 + 3) Check all that are true. The solution is the product of two factors. The second factor is itself the sum of three terms. The solution is the sum of two terms. The coefficient is 3. The second factor is the sum of two terms.
Answer:
True:
The solution is the product of two factors.
The second factor is itself the sum of three terms.
False:
The solution is the sum of two terms.
The coefficient is 3. (This one I'm confused about. There is no x/letter term, so there shouldn't be a coefficient in this problem at all.)
The second factor is the sum of two terms.
what is the value of x
Answer:
x=55⁰
Step-by-step explanation:
the line js supplementary so 180-125= 55
pls vote brainliest
If the ratio of shirts to jeans is 5 : 3 and the no. of shirts are 15, what is the no. of jeans?
Answer:
9
Step-by-step explanation:
let x be number of jeans
3/5 = x/15
x=(3/5)15
x=9
Answer:
9 jeans
Step-by-step explanation:
The 5 part of the ratio relates to 15 shirts , then
15 ÷ 5 = 3 ← value of 1 part of the ratio , then
3 parts = 3 × 3 = 9 ← number of jeans
3ft by 4ft and 6in tallgind the volume
To find the volume of the box, start by converting the 6 inches into feet, using that 1 feet has 12 inches.
\(6in\cdot\frac{1ft}{12in}=0.5ft\)use the formula of the volume of a box
\(V=w\cdot h\cdot l\)w = 3ft
l = 4ft
h = 0.5ft
\(\begin{gathered} V=(3ft)\cdot(4ft)\cdot(0.5ft) \\ V=6ft^3 \end{gathered}\)The box holds 6 cubic feet of sand.
System analysts define an object's attributes during the systems design process. true or false?
The statement "System analysts define an object's attributes during the systems design process" is true because defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.
In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.
For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.
Learn more about Object-oriented design here
brainly.com/question/28731103
#SPJ4
a shot put is thrown from the level ground at some unknown incline angle above the ground at a speed of
The maximum height reached by the shot put is dependent on its initial velocity and angle of inclination. Therefore, the unknown incline angle cannot be determined.
The horizontal velocity of the shot put will remain constant throughout its trajectory. However, the vertical velocity of the shot put will change as it is influenced by the force of gravity. At the highest point of the trajectory, the vertical velocity will be equal to zero. Therefore, the maximum height reached by the shot put can be calculated by using the vertical component of the initial velocity. The angle of inclination cannot be determined as there is no information given regarding the trajectory of the shot put after it leaves the ground.
Know more about here:
https://brainly.com/question/22409043
#SPJ11
Consider this system of equations. Wich equation represents the first equation written in slope-intersept form? 5x-2y=10 y=1/4 x + 1
Answer:
y=1/4 x + 1
Step-by-step explanation:
y=mx+b
What was the purpose of the coordinate graphing system described by Descartes in his book Discourse on Method? to use algebraic methods to solve geometric problems to prove the universe was Sun-centered to represent equations for the queen of Sweden to prove his own existence
Answer:
A. to use algebraic methods to solve geometric problems
Step-by-step explanation:
Answer:
to use algebraic methods to solve geometric problems
Step-by-step explanation:
Gabi just bought a pottery store. She knows from the previous owner that almost 60 percent of her sales take place during the Christmas holiday season, with the other 40 percent of sales evenly distributed over the rest of the year. Gabi will probably use a
By using a seasonal sales forecast, Gabi can better plan her inventory and staffing levels throughout the year, which can help her optimize her business operations and maximize profits.
To create this forecast, she will need to estimate the expected sales for each month based on historical data and market trends.
Here's an example of how Gabi could create a seasonal sales forecast:
Start with historical sales data: Gabi can use the previous owner's sales records to get an idea of how much revenue the store generated in each month. She should look for patterns or trends in the data that can help her predict future sales.
Identify seasonal trends: Based on the information she has been given, Gabi knows that 60 percent of sales occur during the Christmas holiday season. She should also consider other seasonal factors that could affect sales, such as the weather, local events, and school holidays.
Determine the baseline sales: Gabi can calculate the baseline sales by dividing the non-holiday sales (40 percent) by the number of non-holiday months (eight). This will give her an estimate of the average monthly sales during the non-holiday period.
Adjust for seasonal factors: Gabi should adjust her baseline sales estimate based on the seasonal trends she identified. For example, she might increase sales projections for November and December to reflect the holiday season, and adjust sales projections for other months based on other seasonal factors.
Review and adjust: Gabi should regularly review her sales forecast and adjust it as needed based on actual sales performance and any changes in market conditions.
for such more question on seasonal sales
https://brainly.com/question/14997249
#SPJ11
Given that P(A) = 0.33, P(B) = 0.16, and P(A and B) = 0.0297, are events A and B independent?
a. Yes, they are independent
b. No, they are not independent
P(A) * P(B) is not equal to P(A and B), we can conclude that events A and B are not independent.
To determine whether events A and B are independent, we need to compare the product of their individual probabilities (P(A) * P(B)) with the probability of their intersection (P(A and B)).
If P(A) * P(B) = P(A and B), then the events are independent. Otherwise, they are dependent.
In this case, we have:
P(A) = 0.33
P(B) = 0.16
P(A and B) = 0.0297
Calculating P(A) * P(B) = 0.33 * 0.16 = 0.0528
Know more about probabilities here:
https://brainly.com/question/32004014
#SPJ11
the volume of one section of tank A is 24 cubic feet. the volume of the other section of tank A is 96 cubic feet.
The total volume of Tank A is approximately 120 cubic feet.
Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It is typically measured in cubic units such as cubic meters (m³) or cubic feet (ft³). The volume of an object can be calculated by multiplying its length, width, and height (or depth) together, or by using a specific formula depending on the shape of the object.
To find the total volume of Tank A, we need to add the volumes of the two sections.
The volume of the first section is 24 cubic feet.
The volume of the second section is 96 cubic feet.
So, the total volume of Tank A is;
24 + 96 = 120 cubic feet
Therefore, the total volume of Tank A will be 120 cubic feet.
To know more about total volume here
https://brainly.com/question/31620849
#SPJ1
--The given question is incomplete, the complete question is
"The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet. What is the total volume, in cubic feet, of Tank A?"--
The ratio of boys to girls is 4:5 if there are 20 boys in the class find the number of girls. Show workings
Answer:
25 girls
Step-by-step explanation:
We Know
The ratio of boys to girls is 4:5. For every 4 boys, there are 5 girls.
To get from 4 to 20, we multiply by 5.
We Take
5 x 5 = 25 girls
So, there are 25 girls in class.
Answer: 25 girls are in the class
Step-by-step explanation: You can set up the ratio 4:5 as a fraction, \(\frac{4}{5}\) to find your answer. You are given the fact that 20 boys are in the class so now you can solve 2 ways.
Option 1 - Set up the equation algebraically as \(\frac{20}{x}\), where x = number of girls and set that equal to \(\frac{4}{5}\). This way allows you to see that the fraction must have the same ratio as 4:5. You can see that 4 x 5 = 20, so the multiple factor is 5. The variable x must equal 5 x 5, so x = 25.
Option 2 - Multiply the amount of boys given to you by the reciprocal of the ratio. Instead of using \(\frac{4}{5}\), you have to use \(\frac{5}{4}\) because there are more girls than boys in the class. This allows you to finish the problem by multiplying 20 x \(\frac{5}{4}\) to get the result of \(\frac{100}{4}\), which you may know simplifies into 25.
Comment what u did over the weekend the most interesting will get brainlist since I feel nice today :)
Answer:
This weekend I played basketball
Step-by-step explanation:
I practiced my jumpshot
layups
etc
consider the following function. (a) approximate f by a taylor polynomial with degree n at the number a. t3(x)
t3(x) = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.
To find t3(x) we need to find the coefficient of polynomials by using the formula for nth degree taylor polynomial.
what is taylor polynomials?
This are approximations of a function, which become generally better as n increases. It is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.
using the nth degree taylor polynomial formula:
tn(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...... + f^(n)(a)(x-a)^n/n!
where f^(n)(a) is the nth derivative of f evaluated at x=a.
By calculating we get t3(x) as
t3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3!
= f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.
To learn more about taylor polynomials check the given link brainly.in/question/48481276
#SPJ4
PLEASE HELP!50 POINTS! Brainiest if you know how to do it. I will report you if you're just guessing or very wrong. How do I find the least common denominator in these?
Which of the following is the least common denominator for w-5/w-7 and w+8/3w?
A. 3w (w − 7)
B. w (w − 7)
C. 3w − 7
D. 3(w + 7)
Answer:
A) 3w(w-7)
Step-by-step explanation:
\(\frac{w-5}{w-7} and \frac{w+8}{3w}\)
w-7 is a binomial, and 3w is a monomial. Because you cannot put one denominator into the other or multiply both denominators by a number when you have this type of difference where multiplying by a number won't get you the same result, you must multiply them each other.
Therefore:
3w(w-7) would be your LCD.
Answer:
A. 3w (w − 7)Step-by-step explanation:
GivenFractions
(w- 5)/(w-7) and (w + 8)/3wTo findCommon denominatorSolutionWe observe that the fractions can't be simplified any more and they are in the simplest form
Next, the denominators w - 7 and 3w don't have common factors
Therefore the common denominator is the product of denominators:
3w(w - 7)Correct option is A
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
To know more about hypothesis test refer here:
https://brainly.com/question/29996729#
#SPJ11
4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3
Answer: a a a a. Aa
E s. Ss s
Step-by-step explanation:
s. S s s s. S s s s s
Suppose the following facts to be true: $\bullet$ The probability of a random kindergartener having chicken pox at any given time is $2\%$. $\bullet$ Among kindergarteners who have chicken pox, $75\%$ have red spots. $\bullet$ Among kindergarteners who do not have chicken pox, $1\%$ have red spots. Given that Sanjay, a kindergartener, has red spots, what is the probability that Sanjay has chicken pox? Enter your answer as a fraction in simplified form.
Question
Suppose the following facts to be true: The probability of a random kindergartener having chicken pox at any given time is 2%. Among kindergarteners who have chicken pox, 75% have red spots. Among kindergarteners who do not have chicken pox, 1% have red spots. Given that Sanjay, a kindergartener, has red spots, what is the probability that Sanjay has chicken pox? Enter your answer as a fraction in simplified form.
Answer:
75/124
Step-by-step explanation:
This is a question based on conditional Probability
We would solve this using Bayes's Theorem of Conditional Probability
From the above question, we have the following information:
The probability of a random kindergartener having chicken pox at any given time is 2%.
Hence, the probability that a kindergartner would not have chicken pox
= 100% - 2%
= 98%
Kindergarteners who have chicken pox, 75% have red spots.
Kindergarteners who do not have chicken pox, 1% have red spots.
The Sanjay, a kindergartener, has red spots, the probability that Sanjay has chicken pox is calculated as:
= (Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots)/ [(Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots) + (Probability Kindergarteners who do not have chicken pox and have red spots ⋂ Probability that a kindergartner would not have chicken pox)
= (2% × 75%)/[(2% × 75%) +( 1% × 98%)]
= 150/150 + 98
= 150/248
= 75/124