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hichkok12 [17]
3 years ago
14

Thank you!!! 20 points

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

Answer:

Assuming that the figure is a rectangle:

x=12

angle GJH=22 degrees

Step-by-step explanation:

angle GHJ=angle IJH

5x+8=7x-16

simplify

2x=24

x=12

angle IJH=7x-16

substituting for x

IJH=7(12)-16=84-16=68 degrees

angle GJH=90-IJH

angle GJH=22 degrees

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An animal shelter has a bin filled with 456 pounds of dog food there are 4 large dogs at the shelter who each eat 2 pounds of th
Y_Kistochka [10]

If there are 4 dogs and they each eat 2 pounds of food each day. Then, all together there are 8 pounds of food getting eaten each day. You will want to divide 456 by 8.

456/8= 57 days.

456 punds of dog food will last 57 days for 4 dogs.

7 0
3 years ago
A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample m
Georgia [21]

Answer:

0.5

Step-by-step explanation:

Solution:-

- The sample mean before treatment, μ1 = 46  

- The sample mean  after treatment, μ2 = 48

- The sample standard deviation σ = √16 = 4

- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.

                           Cohen's d = \frac{u2 - u1}{sd_p_o_o_l_e_d}

- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:

                          sd_p_o_o_l_e_d =\sqrt{\frac{SD_1^2 +SD_2^2}{2} }

- Assuming that population standard deviation and sample standard deviation are same:

                          SD_1 = SD_2 =  σ = 4

- Then,

                           sd_p_o_o_l_e_d =\sqrt{\frac{4^2 +4^2}{2} } = 4

- The cohen's d can now be evaliated:

                          Cohen's d = \frac{48 - 46}{4} = 0.5

6 0
3 years ago
Kim took out a $55,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 8%, and Bank
stellarik [79]
Kim's Loan:
Let A =  amount borrowed from bank A.
Let B =  amount borrowed from bank B.

The total loan is $55,000.
Therefore
A + B = 55000                  (1)

Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000      (2)

From (1), obtain
B = 55000 - A                  (3)

Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000

Answer:  Kim borrowed $35,000 from bank A.

Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000                  (4)

Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530       (5)

From (4), obtain
B = 10000 - A                       (6)

Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000

Answer: Jack borrowed $7,000 from bank A.
3 0
3 years ago
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kotegsom [21]

(x+4)+(x+4)

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8 0
3 years ago
Part A: Find the LCM of 8 and 9. Show your work. (3 points) Part B: Find the GCF of 35 and 63. Show your work. (3 points) Part C
GaryK [48]
A: 8*9= 72

B: euclidean theorem (35,63) (35,28) (7,28) (7,0) gcf= 7

C: 7(5+9)
3 0
3 years ago
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