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Vera_Pavlovna [14]
3 years ago
13

There are 72 members of the show choir .There are 6 more boys than girls in the choir .

Mathematics
1 answer:
maksim [4K]3 years ago
4 0
There is 12 girls in choir
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A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme
Ipatiy [6.2K]

Answer:

See below

Step-by-step explanation:

<h3>Part A</h3>

Gas in liquid state at

- 40° F < t < 140° F

<h3>Part B</h3>

The graph is the line segment from the point -40 to 140 on the number line, with both points open circles and shaded in between those 2 points

Solution set is all numbers greater that -40 and smaller than 140.

<h3>Part C</h3>

-49° F is smaller than -40° F, so the gas would freeze

8 0
4 years ago
Given: PQ ⊥ QR , PR=20, SR=11, QS=5 Find: The value of PS.
Neporo4naja [7]

1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:

PR^{2}=PQ^{2}+QR^{2}\\ PQ=\sqrt{PR^{2}-QR^{2}}\\ PQ=\sqrt{20^{2}-16^{2}} \\ PQ=12

2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:

PS=\sqrt{PQ^{2}+QS^{2}}=13

Therefore, the answer is: The value of PS is 13.

6 0
3 years ago
Read 2 more answers
A data set lists weights​ (lb) of plastic discarded by households. The highest weight is 5.24 ​lb, the mean of all of the weight
Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) Z = 2.91

d) We have that Z = 2.91 > 2, so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

Z = \frac{X - \mu}{\sigma}

In which: X is the weight we are going to find the z-score of, \mu is the mean of all the weights and \sigma is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 ​lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the​ weights?

D = 5.24lb - 1.932lb = 3.308lb

b. How many standard deviations is that​ [the difference found in part​ (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

1.135x = 3.308

x = \frac{3.308}{1.135}

x = 2.91

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

X = 5.24, \mu = 1.932 and \sigma = 1.135. So:

Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91

3 0
3 years ago
14/100 in simplest form
Readme [11.4K]
0.14. hope this helps
7 0
4 years ago
Read 2 more answers
Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t squa
marta [7]

Answer: t = 7.85seconds

Step-by-step explanation:

Given that :

Height of tower = 986 Feets

Function s(t) = 16t^2

To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the​ building

16t^2 = 986

t^2 = 986/16

t ^2 = 61.625

Take the square root of both sides

t = sqrt(61.625)

t = 7.85seconds

4 0
3 years ago
Read 2 more answers
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