According to the Gallup survey, 23% of Americans reported eating less meat in the past year than they had previously. Results for this Gallup poll are based on telephone interviews conducted Sept. 16-30, 2019, with a random sample of 2,431 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia. Test that the proportion of Americans who reduced meat consumption last year is less than 0.25. Use α = 0.05. State the rejection region. Group of answer choices z > 1.65 z > 1.65 z < − 1.65 z < − 1.65 z > 1.96 z > 1.96

(a) f'(7) = 9. The derivative of the function f(x) evaluated at x=7, is 9.

(b) The instantaneous rate of change of y with respect to x at x = 7 is 9.

Given that the tangent line to the graph of y = f(x) at point (7, 56) has the equation y = 9x - 7, we can use the slope-intercept form of the equation of a line to find the slope of the tangent line.

The slope of the tangent line is 9. This is also equal to the derivative of the function f(x) evaluated at x=7, which gives us the answer to part (a).

The instantaneous rate of change of y with respect to x at x = 7 is also given by the derivative of the function at x=7. Therefore, the answer to part (b) is also f'(7) = 9.

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Answere:

its black

Step-by-step explanation:

black is better and im right

Answer:

142°

Step-by-step explanation:

Make a line parallel to RT to create alternate internal angles

Answer:

Step-by-step explanation:

Since QS ║ MN, the following equations are true:

The angle QSR is exterior of ΔSQT.

Exterior angle measure is the sum of non-adjacent interior angles:

The Formula for the volume of a sphere is \(\frac{4}{3} \pi r^3\)

   Volume = \(\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510\)

The volume is 33.51 cubic feet

Hope that helps!

Answer:

w≈0.33in

Step-by-step explanation:

Using the formula

A=wl

Solving forw

w = \(\frac{A}{l}\) = \(\frac{3}{9}\) ≈0.33333in

The number of natural numbers less than n is n-1.

Natural numbers are whole and positive numbers that are not 0.

If n is 2, there is one natural number less than n... and that is 1.

If n is 5, there are four natural numbers less than n... which are 1, 2, 3, and 4.

The solutions for all three questions regarding the Fibonacci sequence are given below.

The Fibonacci sequence can be defined as a set of integers that form a sequence that follows one rule ie., every number is the sum of the preceding two numbers. The first six numbers of the Fibonacci sequence are =  1, 1, 2, 3, 5, 8.

The 63rd term of the Fibonacci sequence is  4052739537881. The 12th number in this sequence is 144. This can be found out using the formula -

= \(F_{n-1}\) +  \(F_{n-2}\)

Here, if we know the values of the preceding two numbers, we can easily find out the value of any number in the Fibonacci sequence.

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Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

Answer:

0=0

Step-by-step explanation:

Answer:

x is 44 Hope that helps.

In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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Answer:

3 days

Step-by-step explanation:

Given that :

Today :

Study time for math = 15 minutes

Study time for science = 75 minutes

Subsequent days :

Study time for math = 50 minutes

Study time for science = 30 minutes

Let the number of days when study time for math and science will be the same = x

15 + 50x = 75 + 30x

50x - 30x = 75 - 15

20x = 60

x = 60 / 20

x = 3

3 days

Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine

Let's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.

From the first piece of information, we know:

t₁ = (2/3)t₂

From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:

t₁ + t₂ = 36

Now we can substitute the first equation into the second:

t₁ + (2/3)t₂ = 36

Combining like terms:

t₂ = 21.6

Finally, substituting t₂ back into the first equation:

t₁ = (2/3)(21.6) = 14.4

So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.

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Answer:

look at the picture

Step-by-step explanation:

the picture explains everything

(a) 5 hundreds x 10;

In standard form, it is 5,000

Also, in unit form, we have;

(b) 10 x 3 tens;

In standard form, it is 300

But in unit form, it is 3 hundreds

Answer: Currently today the amount of pesos you can get for 600$ is 12,373.56 Mexican Peso.

Answer:

pls find given attachment

Answer:

Part A: A. 28+5h

Part B: Yes

Answer:

3 > -7

Step-by-step explanation:

-9 < 21

/-3   /-3

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

3 < -7

Now, whenever you divide or multiply by a negative, you will change the inequality sign.

So, 3 < -7 becomes 3 > -7

Answer:

3 > -7

Step-by-step explanation:

-9/ -3 = 3

21/ -3 = -7

3 = -7

3 > -7

Answer:

there's no angle z theres only x but the answer for x is 133

Step-by-step explanation:

50

Step-by-step explanation:

plot it on the number line

Answer:

I dont know if this is much help but I asked my mom to review it as she said it was correct. :)

Answer:

your answer's correct!!

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

first we multiply the candies by the weight to find out the total weight

60* 25= 1500g

1500g to kg = 1500/1000 = 1.5kg

so its going to be 1.5kg * 8

1.5* 8 = 12

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

Step-by-step explanation:

242.55

Answer:

-13x + y = -12

Step-by-step explanation:

As,

Here when,

y = 13x - 12

-13x + y = -12.

[Since '+' sign converts to '-' sign on opposite side of the equation]

Answer: A

Step-by-step explanation:

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer:

☑ (¼, 0)

Step-by-step explanation:

\({ \tt{4x - y = 1}}\)

» Assume y is zero:

\({ \tt{4x - 0 = 1}} \\ { \tt{4x = 1}} \\ { \tt{x = \frac{1}{4} }}\)

Answer: 160 seconds

Step-by-step explanation:

First let us find the number of seconds per rotation

52 second/65 rotations

52/65

0.8 seconds/1 rotation

0.8 seconds per rotation

Now let us multiply 0.8 by 200 to get our answer

0.8 * 200

160

It takes 160 seconds to do 200 rotations

Answer:

160 seconds

Step-by-step explanation:

We have 65 rotations in 52 seconds, let's represent it like this:

\(\frac{52 seconds}{65 rotations}\)

Now, let's multiply this by 200 rotations, and cancel out the rotations on the bottom:

\(\frac{52 seconds}{65 rotations} * 200 rotations\)

See how there is rotations on both the top and bottom? This cancels both of them and leaves seconds!

Multiply the above equation and we get:

160 seconds or 2 minutes 40 seconds.

Hope this helps! Good luck and if you have questions please leave them in the comments!