Determine if each pair of ratios or rates are equivalent.

16 points scored in 4 games.

48 points scored in 8 games.

Answer:

12

Step-by-step explanation:

Assuming that KI is 15 units longs, we can set up an equation by  using the equations given.

2x-15+2x-6=15    /simplify

4x-21=15              /+21

4x=36                  /÷ 4

x=9

Now that we know that x is 9 units, we plug it into the given equation of the line.

2*9-6=12

Thus, JI is 12 units long.

I hope this helps!

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.

=> Standard deviation = 3.271.

NB: the assumption here is that the variance for both sites are the same.

STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.

The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.

STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.

Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.

Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..

Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.

STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.

confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).

STEP FOUR: THE HYPOTHESES.

=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

Thus, the rejected region is {t : ∣ t ∣ > 2.7}

As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.

If we do the t - test for this,.we will have;

(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.

So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.

Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.

We are not going to reject the null hypothesis because the information gathered is not enough.

====================================================

Explanation:

We'll use the angle addition postulate. This is basically the idea where we can break any angle into smaller parts, or go in reverse to build up larger angles based on smaller pieces.

In this case, we can see that the smaller angles KLU and ULM combine to form the largest angle KLM. Think of it like puzzle pieces.

Let x be the measure of angle ULM

We can say the following

(angle KLU) + (angle ULM) = angle KLM

(36) + (x) = 156

36 + x = 156

To solve for x, we subtract 36 from both sides

36+x-36 = 156-36

x = 120

Angle ULM is 120 degrees.

-------------------

As a check,

(angle KLU) + (angle ULM) = 36 + 120 = 156

which matches with angle KLM, so the answer is confirmed.

The answer is 2 pounds.

Each pound weighs 1/4, so you divide 8 by 1/4 and you get 2.

Answer:

Step-by-step explanation:

answers to what

Step-by-step explanation:

Step-by-step explanation:

If you meant 7 times 2y^3, the coefficient term for y^3 would be 2 and coefficient of y^0 term (or the constant term) would be 7

Answer:

6 boys

Step-by-step explanation:

I had a quizlet

Answer:

There are 64 trucks!

Step-by-step explanation:

Answer:

can you show me the data so i can see the temperature

Answer: Graph C

Step-by-step explanation: The answer is C (Took the quiz)- Khan Academy

Step-by-step explanation:

Option 3 must be correct.

Answer:

4 11/40 hope this helps :)

Step-by-step explanation:

Answer:

4 11/40

Step-by-step explanation:

I had this question

Answer:

7x - 4x + 3

3x + 3 = 6x

Step-by-step explanation:

7 - 4 = 3 meaning 7x -4x would be 3x as they are similar terms and then you add + 3 making it 6x

Answer:

x=7

Step-by-step explanation:

Add 16 to both sides

-17x-16+16=-135+16

Simplify

-17x=-119

Divide both sides by -17

-17x/-17=-119/-17

Simplify

x=7

Hope this helped! :)

The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given that, the two equations x=6y+3 and x+2y=5 being solved by substitution method

So, the equations are,

x=6y+3.......(i)

x+2y=5......(ii)

Substituting eq(i) in eq(ii)

6y+3+2y = 5

8y = 2

y = 1/4

Put y = 1/4 in eq(i)

x = 6x1/4+3

x = 9/2

Hence, The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.

For more references on substitution method, click;

https://brainly.com/question/14619835

#SPJ2

Answer:

obese people eating millions a day.

Step-by-step explanation:

Answer:haha no

Step-by-step explanation:

Answer: C In my case

Step-by-step explanation:

Well you wanna choose the one with 1,2,3,4 as its pounds and that should be correct with the 50 cents in dollars.

Answer:

232533

Step-by-step explanation:

add the sum

Answer:

6/2 or it can be 3 and that one will be with the one that says x=1 and 7 will be the answer for the one that says x=5 or it can be 14/2

Step-by-step explanation:

I hope this is what you mean

The answer to what is the length of AB and the correct value is 20

I got a 100% on test

There are no images included, but it would be -2,-1.

Answer:

so we get as,

let, y = 2 - 9i

so the absolute value is |y|

so we get as,

|y| = 2-9i

so the absolute value is  |y|

|y|=√ 2 to the 2nd power plus 9 to the second power

so we get as,

|y|=

√81+4=√85

so the value is √85

Example:

| − 2 − i | = √ 5

Explanation:

Absolute value of a complex number  a + i b  is written as  | a + i b |  and its value as  √a 2 + b 2 .  

Hence, absolute value of  − 2 − i  is  √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .

Step-by-step explanation:

Answer:He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.

Step-by-step explanation:

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Explnation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

Answer:-7^2(negitive seven to the second power)

Step-by-step explanation: