Which logarithmic function is shown in the graph? ​

Testing the hypothesis for the proportion, it is found that:

a) H0: p ≤ 0.50; HA: p > 0.50

b) The sample proportion is [tex]\pi = 0.6333[/tex].

c) The test statistic is [tex]z = 2.07[/tex].

d) The p-value of the test is of 0.0192.

e) Reject H0; the politician’s claim is supported by the data.

Item a:

At the null hypothesis, we test that the politician does not have the majority, thus:

[tex]H_0: p \leq 0.5[/tex]

At the alternative hypothesis, we test that he/she does have the majority, thus:

[tex]H_1: p > 0.5[/tex]

Item b:

38 out of 60, thus:

[tex]\pi = \frac{38}{60} = 0.6333[/tex]

The sample proportion is [tex]\pi = 0.6333[/tex].

Item c:

The test statistic is:

[tex]z = \frac{\pi - p}{\sqrt{\frac{p(1 - p)}{n}}}[/tex]

For this problem, [tex]\pi = 0.6333, p = 0.5, n = 60[/tex], thus:

[tex]z = \frac{0.6333 - 0.5}{\sqrt{\frac{0.5(0.5)}{60}}}[/tex]

[tex]z = 2.07[/tex]

The test statistic is [tex]z = 2.07[/tex].

Item d:

The p-value of the test is the probability of finding a sample proportion above 0.6333, which is 1 subtracted by the p-value of z = 2.07.

Looking at the z-table, z = 2.07 has a p-value of 0.9808.

1 - 0.9808 = 0.0192

The p-value of the test is of 0.0192.

Item e:

The p-value of the test is of 0.0192 < 0.05, thus, his claim is supported by the data, and we reject the null hypothesis. Then, the correct option is:

Reject H0; the politician’s claim is supported by the data.

A similar problem is given at https://brainly.com/question/24166849

Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = (3x-1) - (x+2)

(f - g)(x) = 3x-1 - x-2

(f - g)(x) = (3x-x) + (-1-2)

(f - g)(x) = 2x-3

Answer:

9/32 or 0.28125

Step-by-step explanation:

8 parents and 4 teachers

There are 12 possible outcomes.

probability = # of favorable outcomes / # of possible outcomes

Let's do the teachers first.

There are 4 teachers, and we are finding the probability for 3 of them being picked.

Therefore,

P = 3/4

Now let's do the parents.

There are 8 parents, and we want 3.

Therefore,

P = 3/8

Now, we do  [tex]\frac{3}{4} *\frac{3}{8} = \frac{9}{32}[/tex]

Therefore, the chance of 3 teachers and 3 parents being picked out of 4 teachers and 8 parents is 9/32, or in decimal form 0.28125.

Hope this helped!

Answer:

Alek can be annoying some times and I understand

Step-by-step explanation:

The answer should be 13.2

84.6-5.4 = 79.2

79/6 = 13.2

Answer:

Round it to 1,000,000 or 956,000

Step-by-step explanation:

Answer:

6.5 I'm not sure

Step-by-step explanation:

We know, the exponent of the highest degree term in a polynomial is known as its degree.

Here, the highest power is 4.

So, the degree of the polynomial is 4.

Answer:

4

Step-by-step explanation:

The degree of any polynomial is the highest power contained by the variable. In the given polynomial, the highest power of x is 4. Hence, 4 is the degree of the polynomial.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]let, slope=m[/tex]

[tex]Therefore,m = 29 / 21 = 1.38095[/tex]

Answer:

Slope ≈ 1.38

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

Formula for slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using this formula ,

[tex]Slope = \frac{17 - (-12)}{7 - (-14)}[/tex]

         [tex]= \frac{17 + 12}{7 + 14}[/tex]

         [tex]= \frac{29}{21}[/tex]

         [tex]= 1.38 (appx.)[/tex]

Answer:

it says you did it already

Step-by-step explanation:

insta dfl.jacob messeage for help

Answer:

-1 have a great day ahead

5y + 10

step by step :

8y - 2 - 3 ( y - 4)

8y - 2 -3y + 12

8y - 3y - 2 + 12

3y + 10

Answer:

tyler used is 17.04 and maria used 6.2

is 1020591 answer

9514 1404 393

Answer:

  D

Step-by-step explanation:

The absolute value function has its vertex at (1, 3). It is scaled by a factor of -2, so its transformation of the parent function f(x) = |x| will be ...

  -2f(x -1) +3 = -2|x -1| +3

This represents the left side of the equation you're seeking.

The right side equation is the equation of a line with slope 2/5 and y-intercept -2.2 = -11/5.

The equation that has both the left side and the right side correct is ...

  D.  -2|x -1| +3 = 2/5x -11/5

Answer:

1 row with 36 rocks in them

2 rows with 18 rocks in them

3 rows with 12 rocks in them

4 rows with 9 rocks in them

6 rows and 6 rocks in each one

9 rows with 4 rocks in them

12 rows with 3 rocks in them

18 rows with 2 rocks in them

36 rows with 1 rock in them

Step-by-step explanation:

Just find what can be multiplied to 36 and you get your answer! (without a decimal)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:A

Step-by-step explanation:

How to know domain and range from co-ordinate pairs?

Here range of graph is

[tex]\\ \sf\longmapsto y\in\{-2,3\}[/tex]

Hence answers are

Answer:

F(x)=3^5(1/4)^x

Step-by-step explanation:

By the exponential decay definition: y = ab×

b determines the rate at which the graph grows: if b > 1, the function will increase. if 0 < b < 1, the function will decrease.

There is only (1/4)ˣ :  where 0<1/4<1 fit the definition, so F(x)=3^5(1/4)^x is the choice

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But.. look at the table attached, the f(x)=3(1.7)^-2x and F(x)=3^5(2)^-x also showed pattern of decay. It can verified from their graphs. (Try plot it with your calculator)

Answer:

B, C, D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

a hearty breakfast cause it sound more better

Answer:

f(x)=-75

Step-by-step explanation:

since f(x) varies directly with x

it implies that f(x)=Kx

k=f(x)/x

when f(x)=50 and x=-10

k=50/-10

k=-5

but when x=15, f(x)=-5×15

f(x)=-75

Answer:

44 miles

Step-by-step explanation:

25-2.95

22.05

22.05/0.5

They can go 44 miles

She can travel 44.1 miles at most.

Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Let Katie can travel [tex]x[/tex] miles

[tex]2.95 + 0.50x\leq 25[/tex]

[tex]0.50x\leq 25-2.95[/tex]

[tex]x\leq 44.1[/tex]

She can travel 44.1 miles at most.

Find out more information about inequality here

https://brainly.com/question/20383699

#SPJ2

Answer:

30+10 which equals 40

Step-by-step explanation:

jsdghwhi

The original size of the bottle is 17.5 ounces.

The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottle was increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle.

To determine the original size of the bottle, this formula would be used:

New bottle size / total percentage increase in the bottle  =   initial size of the bottle

18.4 / 1.05 = 17.5 ounces

A similar question was answered here: https://brainly.com/question/24666000?referrer=searchResults

The original size of the bottle is 17.5 ounces.The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottlewas increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle. To determine the original size of the bottle, this formula would be used: New bottle size / total percentage increase in the bottle  =   initial size of the bottle 18.4 / 1.05 = 17.5 ounces.

Answer:

y = -[tex]\frac{2}{8}[/tex] + 5

Step-by-step explanation:

You have all that you need

(y = mx+b, m= rise/run which is the change in y/change in x, b = y-intercept.)

so now we just need to put it to use!

      Let's take y = mx + b and break it into two parts. We need the b and the m. The b is easier, because we can conclude by looking at the graph it is equal too 5. Here is our equation so far:

y = mx + 5

Now we need to solve for m:

[tex]\frac{rise}{run} = \frac{2}{8}[/tex]

The line is going dowards, so the slope (m) is negative.

Here is our final answer:

y = -[tex]\frac{2}{8}[/tex] + 5

Answer:

Step-by-step explanation:

Find equations of each line using two points on each and then determine the inequalities.

Points

The slope is:

The y -intercept is 2.

The line is:

The shaded region is to the right and the line is solid, so the inequality is:

Points:

The slope is:

The line is:

The shaded region is to the left and the line is not solid, so the inequality is:

Answer:

Here's the sentence in an equation: 2 = 6(x + 5)

Answer:

If you are trying to simplify this then the answers 304 + 13x

Step-by-step explanation:

Answer:

I believe its the third one