23. Find the value of B.
24.Find the value of x.

Answer:

B is the true statement

Step-by-step explanation:

A

We can see from the graph that the highest point occurs when the height in feet is 19.4, so statement A is untrue.

B

We can see from the graph that the highest point occurs after 12 seconds of flight, so statement B is true.

C

If the projectile were launched from the ground, when t=0, h=0, but since when t=0, h=5, we can see it was launched 5ft from the ground, so statement C is untrue.

D

On the interval 5<t<12, the altitude is indeed increasing, but after t=12, the projectile begins to fall and the altitude decreases, so statement D is untrue.

Answer:

B: alternate exterior angle

hope it helps.

Answer:

the relationship between t and y is B:Alternate exterior angles

Answer:

the correct option is " A= 5t+100 ".

Answer:

first one

Step-by-step explanation:

is at least

Answer:

The perimeter of the track is of 317 meters.

Step-by-step explanation:

Perimeter:

The perimeter of a figure is the sum of all its dimensions.

In this question:

The track is composed by two straights of 80m, and two half circles with a diameter of 50m.

Perimeter of a circle:

The perimeter of a circle with diameter d is of:

[tex]P = \pi d[/tex]

Track:

Two half circles, each with a diameter of 50m, plus two straight lines of 80m. So

[tex]P = \frac{2\pi}{2}(50) + 2*80) = 50\pi + 160 = 50*3.14 + 160 = 317[/tex]

The perimeter of the track is of 317 meters.

Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that [tex]\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416[/tex]

Pennsylvania had an average of 33, standard deviation of 10.11, sample of 33.

This means that [tex]\mu_P = 33, s_P = \frac{10.11}{\sqrt{33}} = 1.76[/tex]

Distribution of the difference:

[tex]\mu = \mu_O - \mu_P = 52 - 33 = 19[/tex]

[tex]s = \sqrt{s_O^2 + s_P^2} = \sqrt{1.1416^2 + 1.76^2} = 2.1[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.29.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 3.29*2.1 = 6.91[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 19 - 6.91 = 12.09 hours per week

The upper end of the interval is the sample mean added to M. So it is 19 + 6.91 = 25.91 hours per week.

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Answer: 67.725feet²

Step-by-step explanation:

A heptagon consist of 7 sides and Its area is calculated using the formula

= 1/2 × nsr

n = number of sides = 7

s = side length = 4.3

r = apothem = 4.5

Area = 1/2 × nsr

= 1/2 × 7 × 4.3 × 4.5

= 0.5 × 7 × 4.3 × 4.5

= 67.725feet²

Answer:

There`s no photo but I can still help tell you how to solve the volume of a rectangular prism. Just multiply the length by the width, and then that by the height.

The formula is V = lwh

Hope this helps

Answer:

0.50

Step-by-step explanation:

just did it

Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reciprocal of (-3)/8 = -8/3

[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]

Answer: 10.5 km

A = bh

A = 3.5 x 3

A = 10.5

Answer:

I think ur answer would be 10.5 km

Step-by-step explanation:

srry if wrong hope this helps

Answer:

2 hours

Step-by-step explanation:

2,4,6,8,10,&12

1, 2,3, 4, 5, &6

Hope this helps :)

Answer:

[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]

Answer:

28.07°

Step-by-step explanation:

sin R = 8/17

arcsin R = 28.07

Answer:

232 sq. m

Step-by-step explanation:

Answer:

7 1/3 weeks

Step-by-step explanation:

Divide 16 1/2 km by (2 1/4 km/wk).  We get:

   16.5 km

--------------------- = 7 1/3 weeks

  2.25 km/wk

Answer:

6

Step-by-step explanation:

square root of 144 is 12, square root of 4 is 2, square root of 16 is 4. SO your equation is now 12x 2 divided by 4. 12 times 2 is 24. Then divide 24 by 4 and you get 6. Therfore, your answer is 6.

Solution :

We know that

[tex]$H_0: \mu_1 = \mu_2=\mu_3$[/tex]

[tex]$H_1 :$[/tex] At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

       = 3 - 1 = 2

d.f.D = N - k

        = 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust                      Jet red                 Cloudtran

[tex]$\overline X_1 =50.5$[/tex]           [tex]$\overline X_2 =50.07143$[/tex]        [tex]$\overline X_3 =55.71429$[/tex]

[tex]$s_1^2=19.96154$[/tex]      [tex]$s_2^2=14.68681$[/tex]         [tex]$s_3^2=36.57143$[/tex]

The grand mean or the overall mean is(GM) :

[tex]$\overline X_{GM}=\frac{\sum \overline X}{N}$[/tex]

         [tex]$=\frac{51+51+...+49+49}{35}$[/tex]

        = 52.1714

The variance between the groups

[tex]$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$[/tex]

     [tex]$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$[/tex]

   [tex]$=\frac{127.1143}{2}$[/tex]

   = 63.55714

The Variance within the groups

[tex]$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$[/tex]

    [tex]$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$[/tex]

   [tex]$=\frac{669.8571}{32}$[/tex]

  = 20.93304

The F-test  statistics value is :

[tex]$F=\frac{s_B^2}{s_W^2}$[/tex]

  [tex]$=\frac{63.55714}{20.93304}$[/tex]

  = 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source       Sum of squares    d.f    Mean square    F

Between    127.1143                 2      63.55714          3.036212

Within        669.8571             32      20.93304

Total           796.9714            34

Answer:

area of shaded portion = 30.5 cm²

Step-by-step explanation:

area of circle = πr² = (3.14)(5²) = 78.5 cm²

area of rectangle = L x W = 8 x 6 = 48 cm²

78.5 - 48 = 30.5 cm²

Answer:

Two weeks later

Step-by-step explanation:

There are 14 days in two weeks, and there are 14-day intervals between dates.

Answer:

2 weeks later

Step-by-step explanation:

Two weeks is equivalent to 14 days

Answer:

4/52 or 1/13

Step-by-step explanation:

there are only 4 kings; diamond, Heart, Spades and Clubs.

Answer:

4

Step-by-step explanation:

Its 4 because x= 4

Answer:

17 !!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

34 ÷ 2

Answer:

r=17 in

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d/ 2=34/ 2=17in

Hope this helped!!!

Answer:

he needs to increase the length to 17 feet

Step-by-step explanation:

[tex]12 \times 7 \\ = 84 \\ to \: get \: {119}^{2} feet \: he \: must \: say \: \\ 119 \div 7 \\ = 17 \\ = 17 \times 7 = 119 \\ [/tex]

Answer:

28

Step-by-step explanation:

f58t85h85y8578

Answer:

I belive its

24 – 15) × 4 – 3 × 2 = 66, the last one.

If it's wrong please correct me! Hope this can help!

Answer:

i know if its not the correct one but for me its  

(24−15)×4−3×2=30

Answer:

7

Step-by-step explanation:

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

7^2+b^2=8^2

49+b^2=64

b^2=15

b=[tex]\sqrt{15}[/tex]