Please help step by step

A group of kids do a car wash. They charge $4.50 for each small car they wash and eight dollars for each large car or SUV in the

Basile [38]

Answer:

Step-by-step explanation:

Let x and y represent the numbers of small and large cars washed, respectively.

We know that:

$4.50x + $8y = $420

But we don't know the relationship between x and y. We need more information (e.g., they washed twice as many small cars and large). Otherwise we have one equation and two unknowns. Since there are two unknowns, we can't determine a "slope" of the line. With all the water and soap, the most we could possibly say it will be a slippery slope.

6 0

3 years ago

Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make

kow [346]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 99% confidence interval is $2.4309 < \mu < 4.9328$

Step-by-step explanation:

From the question we are told that

The data is 3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4

The sample size is n = 11

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i}{n}$

=> $\= x = \frac{3+ 2+5+ \cdots +4 }{11}$

=> $\= x = 3.6818$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum [ x_i - \= x ] }{n} }$

=> $\sigma = \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2 }{11} }$

=> $\sigma = 1.3091$

Given that the confidence interval is 99% then the level of significance is mathematically represented as

$\alpha= (100 - 99) \%$

=> $\alpha= 0.01$

Given that the sample size is small we will making use of t distribution table

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\frac{\alpha }{2} , 10 } =3.16927267$

Generally the margin of error is mathematically represented as

$E = 3.16927267 * \frac{1.3091 }{\sqrt{11} }$

$E = 1.251$

Generally 99% confidence interval is mathematically represented as

$3.6818 -1.251 < p < 3.6818 + 1.251$

=> $2.4309 < \mu < 4.9328$

8 0

3 years ago

Solve for X and Y Please

Bad White [126]

angles across each other at a junction, namely vertical angles, are equal.

so the angles right in the middle, where both triangles intersect, are both equal, that means the triangles have that angle in common as well as the angle x°, meaning both triangles are similar by AA.

if both triangles are similar, that means all their interior angles are the same, meaning y = 75°.

now, let's notice something, those tickmarks, meaning each triangle is an isosceles triangle, which have a vertex angle and twin angles.

since all interior angles in a triangle add up to 180°, so 180 - 75 = 105°, subtracting "y" from the 180°, that leaves 105°, to be split evenly between the twin angles of "x" and the one at the junction.

105/2 = 52.5° = x.

3 0

4 years ago

2x+y = - 3<br> X + 3y = 6<br> Solve the system of equations by graphing

Anna71 [15]

Answer:

(3/5, 9/5)

Step-by-step explanation:

Here's the graph :)

4 0

3 years ago

FIND THE SURFACE AREA OF THE FIGURE BELOW, PLEASE HELP AND SHOW WORK

Goshia [24]

Answer:

247.21

Step-by-step explanation:

equation for height : c= a2 + b2

4.82 + 9.32

≈10.46566

equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2

5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2

≈247.21018

round to nearest hundredth: 247.21

4 0

3 years ago