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VLD [36.1K]
3 years ago
6

A diagonal is drawn on a square.

Mathematics
1 answer:
grandymaker [24]3 years ago
4 0
2 triangles are formed
sum of angle measures of a triangle is 180*
sum of angle measures of a swuare is 360*
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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
A bathtub fills at a constant rate. The amount of water in the tub increases by 1/2 gallon every 1/10 minute. What is the unit r
Oxana [17]
Do 1/2 x 1/10 which equals 10/2. 10/2 is 5 gallons if u divide 10 divided by 2. So the unit rate is 5 gallons per minute.
Also can u mark me as brainlist
5 0
2 years ago
18 is 2% of what number?
Elis [28]

Answer:

The answer is 900

Step-by-step explanation:

Hope this helps : )

4 0
3 years ago
Read 2 more answers
How are the volume formulas of prisms and cylinders similar? How are they<br> different?
AysviL [449]

Answer:

They are both similar in the way that the formula is base multiplied by height. They are different because of the type of shape on the base.

Step-by-step explanation:

hope this helps

7 0
3 years ago
Ms. Goodwin earns $2570 for each 2-wk pay period. How much will she make in 28 wks?​
Salsk061 [2.6K]
$35,980 would be the correct answer.
$2570x14(paid bi weekly)
8 0
3 years ago
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