If the #2 pencil is the most popular, why’s it still #2?

Answer:

you accept the alternative hypothesis

Step-by-step explanation:

The null and alternative hypothesis can be computed as follows:

[tex]H_o: p = 0.64 \\ \\ H_1: p \le 0.64[/tex]

The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{52}{100}[/tex]

[tex]\hat p = 0.52[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}[/tex]

[tex]Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}[/tex]

Z = -2.5

The P-value = 2( Z< -2.5)

From the tables;

The P-value = 2 (0.0062)

The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.

At the null hypothesis, it is tested if the proportion is of 64%, that is:

[tex]H_0: p = 0.64[/tex]

At the alternative hypothesis, it is tested if the proportion is less than 64%, that is:

[tex]H_1: p < 0.64[/tex]

The test statistic is given by:

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

In which:

For this problem, the parameters are: [tex]n = 100, \overline{p} = \frac{52}{100} = 0.52, p = 0.64[/tex]

Hence:

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

[tex]z = \frac{0.52 - 0.64}{\sqrt{\frac{0.64(0.36)}{100}}}[/tex]

[tex]z = -2.5[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, using the z-distribution with a significance level of 0.01, is of [tex]z^{\ast} = -2.33[/tex]

Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.

For more on the use of the z-distribution for hypothesis tests, you can check https://brainly.com/question/25584945

Answer:

2.5 hours

Step-by-step explanation:

Given

The information in the attachment

To solve this question, first we calculate the slope

[tex](t_1,B_1) = (1,19,5\%)[/tex]

[tex](t_2,B_2) = (2,13\%)[/tex]

The slope is:

[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]

[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]

[tex]m = \frac{-0.065}{1}[/tex]

[tex]m = -0.065}[/tex]

The equation is calculated as:

[tex]B - b_3 = m(t - t_3)[/tex]

Where

[tex]m = -0.065}[/tex]

[tex](t_3,B_3) = (3,6.5\%)[/tex]

This gives

[tex]B - 6.5\% = -0.065(t - 3)[/tex]

[tex]B - 6.5\% = -0.065t +0.195[/tex]

[tex]B -0.065 = -0.065t +0.195[/tex]

[tex]B = -0.065t +0.195 +0.065[/tex]

[tex]B = -0.065t +0.26[/tex]

To calculate the time at 9.75%.

We take B = 9.75%

So, we have:

[tex]9.75\% = -0.065t +0.26[/tex]

Solve for t

[tex]0.0975= -0.065t +0.26[/tex]

Collect Like Terms

[tex]0.065t= -0.0975 +0.26[/tex]

[tex]0.065t= 01625[/tex]

[tex]t = 0.1625/0.065[/tex]

[tex]t = 2.5[/tex]

Hence, it will take 2.5 hours.

9514 1404 393

Answer:

  4.59 g

Step-by-step explanation:

The half-life is given as 5 years, so the amount remaining after 9 years will be ...

  remaining = initial × (1/2)^(t/(half-life))

  remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g

About 4.59 g of the substance will remain after 9 years.

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

Answer:

We

Given below are pictures of some common reptiles. Unscrambles

land and water.

jumbled letters and write their names:

an

P

1.

2.

Snake

TLALIGAOR

3.

KNSAE

4.

TRUTLE​

Step-by-step explanation:

Answer:

The length of third side is: 6.3

Step-by-step explanation:

Given triangle is a right triangle where

Base = ?

Perpendicular = 5

Hypotenuse = 8

Let x be the base

As it is a right-angled triangle, Pythagoras theorem can be used to find the third side

[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]

Putting the known values

[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]

Taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]

Rounding off to the nearest 10th

Base = 6.3

Hence,

The length of third side is: 6.3

Answer:

400 riders

Step-by-step explanation:

The Ferris wheel had 400 riders.

400*0.60=240.

Answer:

Y = 144

Step-by-step explanation:

60 times  = 14400

14400 = y times 100

Answer:

x=15

Step-by-step explanation:

3*5=15

15/5=3

Answer:

x = 15

Step-by-step explanation:

x/3 = 5

3* x/3 = 3*5

x=15

Answer:

1.25 laps per minute

Step-by-step explanation:

Answer:

38.5 minutes

Step-by-step explanation:

105 divided by 15=7

7 x 5 minutes and 30 seconds is 38.5 minutes

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 2x + 3[/tex]

And

[tex]g(x) = 2 \times {3}^{x} \\ [/tex]

_________________________________

To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...

_________________________________

In f ( x ) :

[tex]y - intercept = f(0)[/tex]

[tex]f(x) = 2x + 3[/tex]

[tex]f(0) = 2(0) + 3[/tex]

[tex]f(0) = 3[/tex]

Thus :

[tex]y - intercept = 3[/tex]

##############################

In g ( x ) :

[tex]y - intercept = g(0)[/tex]

[tex]g(x) = 2 \times {3}^{x} [/tex]

[tex]g(0) = 2 \times {3}^{0} [/tex]

[tex]g(0) = 2 \times 1[/tex]

[tex]g(0) = 2[/tex]

Thus :

[tex]y - intercept = 2[/tex]

_________________________________

The positive difference in the y-intercept value of f ( x ) and g ( x ) is :

[tex] |3 - 2| = |1| = 1[/tex]

So write this in the box : 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

And we're done....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

y=-x-1

Step-by-step explanation:

1.) equation of line in slope-intercept form: y=4-x

2.) parallel of line is same as: m=-1

3.) equation of parallel line is: y=-x+b

4.) finding b: 4=(−1)⋅(−5)+b

b=-1

5.) therefore, equation is y=-x-1

Answer: 90

Step-by-step explanation:

Answer:

You download 32 rock songs.

Step-by-step explanation:

*im a 7th grader so dont trust me with this answer lol*

The ratio 5 : 4 can also be written as the fraction 5/4.

The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r

Set an equation:

40/r = 5/4

Cross Multiply:

5r = 160

Divide 5 from both sides:

r = 32

There you have it, the amount of rock songs downloaded! Hopefully this helps!

Answer:

5.4545492e+17

Step-by-step explanation:

aka a really big number

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Step-by-step explanation:

Let p = True proportion of people rent their residence.

Given: n= 500

People rent their residence = 260

[tex]p=\dfrac{260}{500}=0.52[/tex]

z-value for 95% confidence level = 1.96

A 95% confidence interval for the true proportion will be :

[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]

A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Answer:

yes

Step-by-step explanation:

if the denomentators are dividable, than it is a equivalent equation

Answer:

6.47 i THINK . or just use a search engine .

Step-by-step explanation:

i just divided 32.35 by 5

Answer:

6.47 thank me

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The formula for the axis of symmetry is x = -b/[2a].  Here, a = -3 and b = 18.

                                                            -18

Thus, the axis of symmetry is x = - ------------ = 3, or x = 3

                                                            2[-3]

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Answer:

it should be c

Step-by-step explanation:

Answer: 0.2

Step-by-step explanation:

Answer:

its the last one

because the rest of them are wrong

Answer:

56 miles

Step-by-step explanation: