HELP ITS EASY PLEASE HELP

Answer:

It landed at a height of 14 feet

Step-by-step explanation:

Given

[tex]y = -\frac{1}{8}x^2 +4x[/tex] --- Path of a t-shirt

[tex]3y = 2x - 14[/tex] --- height of bleachers

Required

Height when t-shirts land in bleachers

[tex]3y = 2x - 14[/tex]

Make y the subject

[tex]y = \frac{2}{3}x - \frac{14}{3}[/tex]

Substitute [tex]y = \frac{2}{3}x - \frac{14}{3}[/tex] in  [tex]y = -\frac{1}{8}x^2 +4x[/tex]

[tex]\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x[/tex]

Multiply through by 24

[tex]16x- 112 = -3x^2 +96x[/tex]

Express as:

[tex]3x^2 + 16x -96x- 112 = 0[/tex]

[tex]3x^2 -80x- 112 = 0[/tex]

Using a calculator:

[tex]x = 28[/tex] or [tex]x = -\frac{4}{3}[/tex]

x can not be negative:

So:

[tex]x = 28[/tex]

Substitute [tex]x = 28[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex] to calculate the height it landed

[tex]y = -\frac{1}{8} * 28^2 + 4 * 28[/tex]

[tex]y = 14[/tex]

Answer:

There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 95[/tex]

The alternate hypotesis is:

[tex]H_{1} \neq 95[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.

This means, respectively, that [tex]n = 260, X = 94, \sigma = 6[/tex]

The test-statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{94 - 95}{\frac{6}{\sqrt{260}}}[/tex]

[tex]z = -2.69[/tex]

The pvalue is:

2(P(Z < -2.69))

P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036

2*(0.0036) = 0.0072

0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.

Answer:

i think its c

Step-by-step explanation:

93 rats can be anticipated in the park now.

In 2015, there were 310 rats that were counted living in a park.
the rats and the population decreased by 70%

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Since rat decreased by 70 %,

= 310 x 70 / 100
= 217
Now the decrease in rats = 310 - 217
anticipated rats in the park  = 93

Thus the 93 rats can be anticipated in the park now.

Learn more about percentage here:

brainly.com/question/13450942

#SPJ2

Answer:

1. 10

2.96

3.252

4.16

5.105

6.90

Step-by-step explanation:

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (2a-x,y)[/tex]

The triangle after a reflection over x = -3. So, the rule of reflection is

[tex](x,y)\to (2(-3)-x,y)[/tex]

[tex](x,y)\to (-6-x,y)[/tex]

The vertices of triangle after reflection are

[tex]R(3,7)\to R'(-6-3,7)[/tex]

[tex]R(3,7)\to R'(-9,7)[/tex]

Similarly,

[tex]S(-5,-2)\to S'(-6-(-5),-2)[/tex]

[tex]S(-5,-2)\to S'(-6+5,-2)[/tex]

[tex]S(-5,-2)\to S'(-1,-2)[/tex]

And,

[tex]T(3,-5)\to T'(-6-3,-5)[/tex]

[tex]T(3,-5)\to T'(-9,-5)[/tex]

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

Answer:what is this

Step-by-step explanation:

Answer:

The answer is....

The volume of a cylinder is 2462 feet³.

Please give Brainly

Step-by-step explanation:

Answer:

37.68 cubic inches

Step-by-step explanation:

V=pi*r^2*h

V=3.14*2^2*3

Answer: 2. 9x.8y / 3.9,8,2

Hope it helps

Step-by-step explanation

Answer:

2. D 9,8

3. B 2

Step-by-step explanation:

a coefficient is the number that is next to a variable example:

coefficient->9x<-variable

a constant is a number thats value dosent change no matter how much the variables are worth example:

since 2 in 9x+2+8y is not next to a variable its value cannot change because it is by itself

Answer:

x=55 degrees

DOE = 117 Degrees

Step-by-step explanation:

You know EOF is equal to COD so you can say

x+8=63

x+8-8=63-8 (subtract 8 from both sides)

x=55 degrees

Next

63 and DOE add up to 180

DOE = 180-63

DOE = 117 Degrees

Answer:

[tex]fg^{2} - g =[/tex] -42

Step-by-step explanation:

[tex]fg^{2} - g[/tex]

f = -1

g = 6

substitute the numbers for the letters:

[tex](-1) (6^{2}) - 6[/tex]

[tex](6^{2}) = 36[/tex]

new equation:

-1 x 36 - 6

-36 - 6

= -42

Answer:

3

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

Pretty ez since 8 divided by 12 is 2/3 or you just simply simplify it.

Answer:

C. 2/3

I promise this is right.

Answer:

a) Upper Control Limit = 0.10

   Lower Control Limit = 0.01

b) The tech assistance process is stable and in control.

Step-by-step explanation:

Given - After a number of complaints about its tech assistance, a

            computer manufacturer examined samples of calls to determine

            the frequency of wrong advice given to callers. Each sample

            consisted of 100 calls.

SAMPLE             1   2   3   4   5   6   7   8   9  10 11 12 13 14 15 16

Number of errors 5  3   5   7   4   6   8   4   5    9   3   4   5   6   6   7

To find - a. Determine 95 percent limits.

              b. Is the tech assistance process stable (i.e., in control)

Proof -

z = 95% confidence interval

  = 1.96

⇒z = 1.96

Proportion of defects,P = total defectives/total observations

                                     = 0.0544

⇒P = 0.0544

Now,

Q = 1-P

   = 0.9456

⇒Q = 0.9456

Now,

Average sample size, N = 100

Standard deviation = [tex]\sqrt{\frac{P.Q}{N} }[/tex]

                             = 0.0227

Now,

Upper Control Limit = P + z(Standard deviation)

        = 0.0988

⇒Upper Control Limit = 0.0988 ≈ 0.10

And

Lower Control Limit = P - z(Standard deviation )

       = 0.0099

⇒Lower Control Limit = 0.0099 ≈ 0.01

∴ we get

Upper Control Limit = 0.10

Lower Control Limit = 0.01

b.)

Now,

it is clear that the fraction defective values are wit in upper an lower control limits.

So, The tech assistance process is stable and in control.

Answer:

Step-by-step explanation:

35.7826087

I'm guessing you want it estimated to the nearest tenth so 35.8

Answer: x = 5, x = -5  If you need more....

x = [tex]5^{1}[/tex]

x = [tex]\sqrt{25}[/tex]

sum is an answer to an addition problem, so we have to add 43 and z. z+43=72.98

Subtract 43 on both sides.

z=29.98

---

hope it helps

Answer:

43 + z = 72.98

Step-by-step explanation:

Sum meaning add the two (or more numbers together) we get 43+ z = 72.98

If you're trying to find "z" simply subtract 43 from 72.98 to get 29.98 as z

Answer:

a=20 m²

b=21 cm²

c=36 dm²

Step-by-step explanation:

A) 12²+16²=a²

144+256=a²

400=a²

√400=a

a=20

B) 28²+b²=35²

784+b²=1225

b²=1225-784

b²=441

b=√441

b=21

C) c²+15²=39²

c²+225=1521

c²=1296

c=√1296

c=36

Answer:

they are not parallel

Step-by-step explanation:

Given the equations -3x – 3y = 1 and -3x – 4y = 5

Get the slope of each line

REwrite in the form y = mx+c

For the line -3x-3y = 1

-3y = 3x + 1

y = 3x/-3 + 1/-3

y = -x - 1/3

Slope m = -1

For the line -3x - 4y = 5

-4y = 3x + 5

y = -3/4 x - 5/4

Slope of the line is -3/4

Hence since both lines have different slopes, they are not parallel