3 1/6 times 1 4/7 in simplest form​

Answer:

H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Step-by-step explanation:

Part a:

The null and alternate hypothesis can be formulated as

H0 : u1 ≤ u2 the two means ( of students whose parents did or did not attain a higher level of education) are equal .

against the claim

Ha: u1 > u2 the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Part b:

The point estimate of the difference between the means for the two populations is the difference of sample means

x1`- x2`

525- 487= 38

Student’s Parents

College Grads

x                                            x²

485      487               235,225         237,169

534      533                  285,156        284,089

650     526                 422,500         267,676

554       410                   306,916          168,100

550      515                   302,500        265,225

572      578                      327,184        334,084

497      448                     247,009        200,704

592     469                  350,464         219,961          

∑xi = 8400                      ∑xi ²= 4,462,962          

x1`= ∑ xi/n1= 8400/16= 525

Using statistic calculator Using formula :  σ(n-1)

s1= 59.4205

High School Grads

x                                          x²

442          492                   195,364            242,064

580          478                    336,400            228,484

479           425                      229,441             180,625

486            485                     236,196            235,225

528            390                     278,784           152,100

524             535                     274,576           286,225        

∑xi = 5844                                 ∑xi ²= 2,875,484                

x2`= ∑ xi/n2= 5844/12= 487

Using statistic calculator Using formula :  σ(n-1)

s2= 51.7476

x1`- x2`= 525- 487= 38

The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 38/ √(59.4205)²/16 + (51.7476)²/12

t=38 / √3530.7958/16 + 2677.8141/12

t= 1.804

and the degrees of freedom is

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= [3530.7958/16 + (2677.8141/12) ]²/ (3530.7958/16)²/15 +(2677.8141/12)²/11

≈ 25

The degrees of freedom is always rounded in this calculation

From the table t∝ = 1.708

Hence critical value is t ≥ t∝

Reject H0:

Part C.

The p-value is 0.041647.

The result is less than  0.05.

Result:

H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Answer:

Y=4

Step-by-step explanation:

8*0+4=4

Answer:

x = √6/2

Step-by-step explanation:

Side a = 1.73205 --> √3

Side b = 1.22474 --> √6/2

Side c = 1.22474 --> √6/2

Answer:

w=18

Step-by-step explanation:

Answer:

W=18

Step-by-step explanation:

-6+2w=30

2w=30+6

2w=36

Answer / Step-by-step explanation:

4 * (2 + 3) - 12

To get our final answer, we need to follow PEMDAS, which is :

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.

(2 + 3) fits this description, therefore we add them together :

4 * 5 - 12

There are no more parenthesis and also no more exponents, so move onto multiplying.

4 * 5 - 12

20 - 12

Now subtract :

8

Answer:

26/7 is 3 remander 7 or 3.71

Step-by-step explanation:

Answer:

Quotient = 3, Remainder = 5.

Step-by-step explanation:

Refer to the attached picture.

Answer:

I hope it helpss!!!!!!! :)

Answer:

[tex]y=\dfrac{3}{4}x+15[/tex]

Step-by-step explanation:

Given that,

A line goes through the point (-8,9), and has a slope of 3/4.

We need to express in the form of Ax+B for this line.

We have, m = 3/4

So,

[tex]y=\dfrac{3}{4}x+B[/tex]

Put y = 9 and x = -8 in the above equation.

[tex]9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15[/tex]

So,

[tex]y=\dfrac{3}{4}x+15[/tex]

It is the required equation of the line.

Answer:

D

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A:  12/15 simplifies to 4/5, wrong answer

Answer B:  9/12 simplifies to 3/4, wrong answer

Answer C:  6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

Answer:

1. The corresponding sides of the two triangles must be proportional.

Step-by-step explanation:

Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.

The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL only if their two corresponding sides are proportional and one angle is also equal, so option 1 is correct.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL,

The condition for the similarity of the triangle are shown below,

Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.

Thus, the sides have to be proportional.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

Answer:

[tex] {x}^{2} - 25[/tex]

Step-by-step explanation:

[tex](x + 5)(x – 5) \\ \\ = {(x)}^{2} - {(5)}^{2} \\ \\ = {x}^{2} - 25[/tex]

Answer:

x²-25

Step-by-step explanation:

To do a sum like this, break up the first bracket and multiply by the second (terms from the first bracket is in bold in first few steps for clarity):

(x + 5)(x – 5)

x(x-5)+5(x-5)

x²-5x+5x-25

x²-25

Answer:

$9

Step-by-step explanation:

15% is equal to 15/100

the word "of" means multiplication

15% of $60 is like saying:

15/100 * $60 = $9

Answer:

12

Step-by-step explanation:

20 and donominator 5 cancel out

4*3=12

Answer: 12

Step-by-step explanatio

Answer:

12 miles per gallon

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

Answer:

(6-2) (3/4-3/20)

4 ((3×20-3×4)/80)

4 48/80

4 3/5

Step-by-step explanation:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Answer:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Hope this helps!

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

If x equals 5, then you just do 2(5) + 7.

2×5=10 10+7=17

Answer:

4.4.

Step-by-step explanation:

I rounded my answer to 4.4. You can divide 118.3 by 26.8 to get your answer. Hope this was helpful.

Answer:

18 tiles

Step-by-step explanation:

24 x 6 = 144

144/8 = 18

glad i could help

hope you have a good day

Answer:18

Step-by-step explanation:24 x 6 = 144

144/8 = 18

Answer:

2t+5

Step-by-step explanation:

Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.

Step-by-step explanation:

there ya go this was hard

Step-by-step explanation:

[tex]4 \\ {x}^{2} = {16}^{2} + {14}^{2} \\ {x}^{2} = 256 + 196 \\ {x}^{2} = 452 = 2 \sqrt{113} = 21.26[/tex]

[tex]5 \\ {x}^{2} = {8}^{2} + {15}^{2} \\ {x}^{2} = 64 + 225 \\ {x}^{2} = 289 \\ x = 17[/tex]

Answer:

I think the answered is x = 16 hope I right

Answer:

X = 16

Step-by-step explanation:

2.5x+10 = 50

distribute the ten to the other side by substracting

2.5x = 50-10

2.5x = 40

Now divide 2.5 on both sides

2.5x/2.5 = 40/2.5

x = 16

Answer:

Perimeter of triangle = 14.82 approx.

Step-by-step explanation:

Given:

D(5, 6)

E (10, 9)

F(7, 11)

Find:

Perimeter of triangle

Computation:

Distance = √(x1-x2)² + (y1-y2)²

Perimeter of triangle = DE + EF + FD

Perimeter of triangle = √(5-10)² + (6-9)² + √(10-7)² + (9-11)² + √(7-5)² + (11-6)²

Perimeter of triangle = √25 + 9 + √9 + 4 + √4 + 25

Perimeter of triangle = √34 + √13 + √29

Perimeter of triangle = 5.83 + 3.6 + 5.3851

Perimeter of triangle = 14.8151

Perimeter of triangle = 14.82 approx.

Answer:

[tex]40*a*b[/tex]

Step-by-step explanation:

40ab is 40 multiplied by a multiplied by b

Answer:

612 dollars

Step-by-step explanation:

From the given information:

Amount of the total mixture = 6000 pounds

Also, for each batch, there needs to be at least 25% bluegrass seed.

It implies that:

In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.

The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.

Suppose the amount of rye seeds = x pounds

while that of Bermuda is (4500 - x) pounds

Then, since the amount of Bermuda contains no more than 2/3 of that of rye.

The equation can be written as:

[tex]( 4500 - x) = \dfrac{2x}{3}[/tex]

13500 - 3x = 2x

13500 = 5x

[tex]x = \dfrac{13500}{5}[/tex]

x = 2700

Now, the amount of rye seed = 2700 pounds

while that of Bermuda seed = 4500 - 2700 = 1800 pounds

However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.

So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents

For rye seed; cost of 1 pound = 14 cents

the cost of 2700 rye seeds = 14 × 2700 = 37800 cents

For Bermuda seed; cost of 1 pound = 3 cents

the cost of 1800 rye seeds = 3 × 1800 = 5400 cents

The total amount = (18000 + 37800 + 5400) = 61200 cents

Recall that:

100 cents = 1 dollars

61200 cents = x dollars

x = 61200 cents/100 cents

x = 612 dollars

Thus, the minimum cost is 612 dollars.