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Alenkinab [10]
3 years ago
13

Work out the value of 1. 7/2 -a ² 2. 3x-8 = 19

Mathematics
2 answers:
Zanzabum3 years ago
8 0

Answer:

1.   -45 1/2.

2.   x = 9.

Step-by-step explanation:

a/b - a^b   when a = 7 and b = 2

= 7/2 - 7^2

= 7/2 - 49

= -91/2

= -45 1/2.

3x - 8 = 19

3x = 19 + 8 = 27

x = 9.

ratelena [41]3 years ago
3 0
Yes it is very easy, but
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Answer:

E (3,-1)   D (-2, -2)   G (-1, 3)    F (3, 2)

Step-by-step explanation:

90 degrees = (y, -x)

that means you take the ordered pair you want to rotate and plug the x and y into the new spots.  

for example, point E is at (1,3) so the point rotated 90 degrees is (3,-1)

8 0
2 years ago
A right angle is a closed shape made up
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4 years ago
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What's the algebraic expression for 5,9,13,17,21
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5 0
4 years ago
The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20
stira [4]

Answer:

a) Option A)

H_{0}: \mu \geq 1503\\H_A: \mu < 1503

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, \bar{x} = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}

b) Point estimate  of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78

Thus,

Point estimate of difference = -78

5 0
4 years ago
Dave works two jobs. He works at the grocery store making $12 per hour and works at the car wash making $15 per hour. If he work
vladimir2022 [97]

Answer:

11 hours

Step-by-step explanation:

let he works at first store x hours and at car wash y hours. Then

x+y=25

multiply by 4

4x+4y=100  ...(1)

12x+15y=333

divide by 3

4x+5y=111   ... (2)

(2)-(1) gives

y=111-100=11

8 0
3 years ago
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