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natali 33 [55]
2 years ago
5

The SAT and ACT exams are often used to predict a student's first-term college grade point average (GPA). Different formulas are

used for different colleges and majors. Suppose that a student is applying to a university with an intended major in civil engineering. Also suppose that for this college and this major, the following model is used to predict first term GPA.
GPA= a+ b(ACT)
a= 0.4
b= 0.3

Requried:
a. In this context, what would be the appropriate interpretation of the value of a?
b. In this context, what would be the appropriate interpretation of the value of b?
Mathematics
1 answer:
spayn [35]2 years ago
8 0

Answer:

In this example it seems that "a" is a fixed value that is added to adjust the scale value. . It seems that "b" is a factor that adjust the value of the ACT score as a predictor for success in the chosen field of study.

Step-by-step explanation: The scores from the SAT and ACT are not in the same format as GPA. So the scale needs adjustment. Also the tests measure different knowledge and skills. They may be more or less reliable as predictors of success in a given field of study, so the "b" factor would change for different majors.

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Statements and reasonings 2(4x+2)=20
Katarina [22]

distribute-   8x+4=20

subtract-    8x=20

divide-      20/8=x

answer-   x=2.5


6 0
2 years ago
Anjali went to Citizens Bank and borrowed $7,000 at a rate of 8%. The date of the loan was September 20. Anjali hoped to repay t
Mkey [24]
From September 20 to January 20, there are 4 months only which is equivalent to 1/3 of a year. The interest earned by the investment, P, made is calculated 
               I = P x i x n
where I is the interest, P is the principal amount, i is the interest rate, and n is the number of years. Substituting the known values,
                I = ($7000)(0.08)(1/3)
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Hence, the answer to this item is $186.67. 
8 0
2 years ago
Read 2 more answers
If JL=18, NK=12, and ML=10, find the perimeter of JKLM<br> A. 42<br> B. 45<br> C. 50<br> D. 56
snow_lady [41]

Answer:

The perimeter of the kite JKLM is 50 units ⇒ C

Step-by-step explanation:

The longest diagonal of the kite is its axis of symmetry which means the longest diagonal divides the kite into two congruent triangles

∵ JKLM is a kite

∵ KM is the longest diagonal

∴ KM is divides the kite into two congruent triangles

∴ Δ JKM is congruent to Δ LKM

∴ JK = LK

∴ JM = ML

∵ ML = 10 units

∴ JM = 10 units

∵ The diagonals of the kite are perpendicular

∴ KM ⊥ JL

∵ KM and JL intersected at N

∴ m∠JNK = 90°

∵ KM is the axis of symmetry of kite JKLM

∴ KM bisects JL at N

∴ JN = NL = \frac{1}{2} JL

∵ JL = 18 units

∴ JN = \frac{1}{2} (18)

∴ JN = 9 units

In Δ JNK

∵ m∠JNK = 90°

∵ JN = 9 units

∵ NK = 12 units

- By using Pythagoras Theorem

∵ (JK)² = (JN)² + (NK)²

∴ (JK)² = (9)² + (12)²

∴ (JK)² = 81 + 144

∴ (JK)² = 225

- Take √ for both sides

∴ JK = 15 units

∵ Jk = LK

∴ Lk = 15 units

∵ The perimeter of the kite is the sum of its 4 sides

∴ P = JK + KL + LM + MJ

∵ JK = LK = 15

∵ JM = ML = 10

∴ P = 15 + 15 + 10 + 10

∴ P = 50

The perimeter of the kite JKLM is 50 units

7 0
2 years ago
In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. if the length of the kitchens is 4 1/2 cm on the scale dr
rusak2 [61]
Given: 1 cm = 2 3/4 ft ; kitchen length = 4 1/2 cm
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11/4 x 9/2 = 99/8 =12 3/8

OR You could use decimals

2 3/4 = 2.75 ; 4 1/2 = 4.5
2.75 x 4.5 = 12.375
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5 0
2 years ago
According to some internet research, 85.2% of adult Americans have some form of medical insurance, and 75.9% of adult Americans
Anastasy [175]

Answer:

0.717 or 71.7%

Step-by-step explanation:

P(M) = 0.852

P(D) = 0.759

P(M or D) = 0.894

The probability that a randomly selected American has both medical and dental insurance is given by the probability of having medical insurance, added to the probability of having dental insurance, minus the probability of having either insurance:

P(M\ and\ D) = P(M)+P(D)-P(M\ or\ D)\\P(M\ and\ D) =0.852+0.759-0.894\\P(M\ and\ D) =0.717=71.7\%

The probability is 0.717 or 71.7%.

8 0
2 years ago
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