Which of the values below has two significant figures?A. 98.57B. 2200C. 4.01D. 5280

1. 18

2.8

3.-1

An expression is a set of terms combined using the operations +, – , x or ,/.

Given:

1. 22 − 1 (4)

=22- 1*4

= 22-4

= 18

2. 2 + 2 (3)

=2+2*3

=2+6

=8

3. 1 − 2

= -1

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Answer:

180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.

Step-by-step explanation:

Answer:

No, these two numbers are not complementary. 180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.

Step-by-step explanation:

The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.

To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.

The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.

To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.

Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.

Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).

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Answer:

i have made it in picture hope it help

Answer:

13ft a second it's just a an average it the feet divided by the time by 2

Answer:X=17

Step-by-step explanation:

Im not 100% sure

The correct statements that evaluate the report of the survey results are:A) The sample is biased because it does not represent the population. E) The question is biased towards a response of preferring to drink water after a game. Option A and E

Statement A) The sample is biased because it does not represent the population:

While the survey may have randomly selected 50 city soccer players from the soccer teams' rosters, it is important to consider whether these players truly represent the entire population of soccer players in the city.

Factors such as age, skill level, gender, and other demographic characteristics can affect the preferences of soccer players. If the sample is not diverse enough or does not adequately represent the population's composition, it may introduce bias and limit the generalizability of the survey results.

Statement E) The question is biased towards a response of preferring to drink water after a game:

The question itself introduces bias by explicitly mentioning water and a sports drink as the only options for post-game hydration. This could influence participants' responses by priming them to consider water as the default or more favorable choice.

The question should ideally be phrased in a neutral manner, allowing participants to provide their preferred choice without any suggestion or preference imposed by the question itself.

It is important to note that statements C) The sample is not biased, and D) The question is not biased, are incorrect. The sample can be considered biased due to potential limitations in its representativeness, and the question itself introduces bias by favoring one option over the other.

Option A and E

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Answer:

C

Step-by-step explanation:

the perimeter means to go along all 4 sides and sum up the distance.

so, we have

x + 12 + x + 12 + 2x + 2x

we combine all similar terms (the ones with a variable and the constants without a variable)

x + x + 2x + 2x + 12 + 12 = 6x + 24

why do you think the sum of x + x + 2x + 2x is 4x ?

and 12 + 12 is 28 ?

do you need any further explanation, or is this now clear ?

Answer:

22 out of 49

Step-by-step explanation:

Because 22/49 gives a value closer to one than 12/29.

The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

for every hour she reads 6 chapters (1/6)

Step-by-step explanation:

we know she reads 36 chapters in 6 hours, so we can make that a fraction : lets do 6/36 (it could also be 36/6 but im going to do 6/36)

if you divide both 6 and 36 by 6, you can simplify the fraction since 6 goes into both numbers evenly.

6/36 divided by 6/6 = 1/6

so the rate would be 1/6

Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

Answer:

The p-value of the test statistic is 0.2019.

Step-by-step explanation:

Test if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds.

At the null hypothesis, we test if it relieves pain in at most 384 seconds, that is:

\(H_0: \mu \leq 384\)

At the alternative hypothesis, we test if it relieves pain in more than 384 seconds, that is:

\(H_1: \mu > 384\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

384 is tested at the null hypothesis:

This means that \(\mu = 384\)

For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23.

This means that \(n = 41, X = 387, \sigma = 23\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{387 - 384}{\frac{23}{\sqrt{41}}}\)

\(z = 0.835\)

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 387, which is 1 subtracted by the p-value of z = 0.835.

Looking at the z-table, z = 0.835 has a p-value of 0.7981.

1 - 0.7981 = 0.2019

The p-value of the test statistic is 0.2019.

Answer:

The 3.907 is approximate.

====================================

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

------------

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

------------

Extra info:

First we can notice that the values in w correspond to a cuadratic equation with the intercept with the y axis equal to 1. and the intercepts with the x axis is -1 and 1 so the x^2 is negative so is opyion C

Answer:

483

Step-by-step explanation:

So we have the sequence:

15, 21, 27, 33...

And we want to find the 79th term.

To do so, we can write an explicit formula.

The standard form for an explicit formula for an arithmetic sequence is:

\(x_n=a+d(n-1)\)

Where a is the initial term, d is the common difference, and n is the nth term.

From the sequence, we can see that the initial term a is 15.

We can also see that the common difference is +6. This is because each subsequent term is 6 more than the previous one. 15 plus 6 is 21, 21 plus 6 is 27, and so on.

So, substituting 15 for a and 6 for d yields:

\(x_n=15+6(n-1)\)

To find the 79th term, substitute 79 for n. So:

\(x_{79}=15+6(79-1)\)

Subtract:

\(x_{79}=15+6(78)\)

Multiply:

\(x_{79}=15+468\)

Add:

\(x_{79}=483\)

So, the 79th term is 483.

And we're done!

Step-by-step explanation:

Hey there!

First sequence = 15.

Second sequence = 21.

Their difference = 6.

Now, we have;

\(an = a1 + (n - 1)d\)

Put all values

\(an = 15 + (n - 1)6\)

Simplify it.

\(an = 15 + 6n - 6\)

\(an = 6n + 9\)

Now,

a1 = 6×1+9= 15

a2 = 6×2+9= 21

a3 = 6×3+9= 27.

We have to find 79th term.

a79 = 6×79+9= 483.

Therefore, the 79th term is 483.

Hope it helps...

Answer:

I graphed the inequality on the graph below.

Step-by-step explanation:

6x - 5y > 30

-6x         -6x        Subtract 6x from both sides

-5y > -6x + 30    Divide both sides by -5 and flip the inequality sign

y < 6/5x - 6

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

Step-by-step explanation:

y - 1 = 3(x + 4)

y - 1 = 3x + 12

y = 3x + 13

or

slope -3

y - 1 = -3(x + 4)

y - 1 = -3x - 12

y = -3x - 11

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

a) The sample in this scenario is 60 families from each school in the district.

b) The population is the total number of families in the school district.

The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.

The sample of families surveyed = 60 families from each school in the district

The population = the number of families in the school district

The percentage of families surveyed who need bus transportation = 65%

The percentage of families surveyed who would walk to school = 15%

The percentage of families surveyed who would use own transportation = 18%

The percentage of non-respondents = 2%

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Answer:

Step-by-step explanation:

2 AND 4

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)