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Virty [35]
3 years ago
13

Question 3 What is the slope of the line that passes through the points (0.-7) and (-4, 3)? 0 -3/11 O -2/5 À O -5/2 0 10/4 Quest

ion 4 ​
Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Answer:

Gradient = Change in y / Change in x

Gradient = (-7-3) / (0-4)

Gradient = -10/-4

Gradient = 2.5

So the answer is 10/4, which is 2.5

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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin
laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

8 0
3 years ago
What is 1/5 times 10x?
grigory [225]

Answer:

2x

Step-by-step explanation:

10x/5 is the same as 1/5 times 10x.

Simplify to get 2x

8 0
3 years ago
Read 2 more answers
Find three consecutive even numbers whose sum is 1674.
Norma-Jean [14]

Answer:

556, 558, and 560

Step-by-step explanation:

1674/3 = 558 (An even number, yay)

So 558 + 558 + 558 = 1674

Subtract two from the first one and add two to the last (still equal)

556 + 558 + 560

adding them equals 1674 so the answer is

556, 558, and 560

7 0
3 years ago
the graph shows the location of a bank in a library each Square on the graph represents one block which path can be taken to go
Nookie1986 [14]

Answer:

Step-by-step explanation:

The answer is 5blocks to the right and 3 blocks up thank me LATER

5 0
3 years ago
Marie spends $450.00 at a department store. She has two coupons: one for a 15% discount and one for $50 off any purchase above $
VMariaS [17]

Answer:

Her first coupon ti be used is $50 off a purchase above $300

Final purchase price= $340

Step-by-step explanation:

Marie has two coupons

one for a 15% discount and one for $50 off any purchase above $300.

The stores allow the two coupons to be combined and she spends a total of $450.

Her first coupon ti be used is $50 off a purchase above $300.

So Marie have $400 now

15% off $400= 400-(0.15*400)

15% off $400 = 400-60

15% off $400 =$ 340

6 0
3 years ago
Read 2 more answers
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