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3 years ago

In ΔPQR, the measure of ∠R=90°, the measure of ∠P=40°, and QR = 5.1 feet. Find the length of RP to the nearest tenth of a foot.

Mathematics

2 answers:

deff fn [24]3 years ago

7 0

Answer:

The answer is 6.1 feet

Step-by-step explanation:

Deffense [45]3 years ago

5 0

Answer:6.1

Step-by-step explanation:

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Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.

kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = $\frac{38}{60} = 0.634$

Therefore, the probability is given by:

$P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]$

P $(p\leq 0.634) = P[z\leq -1.87188]$

P $(p\leq 0.634) = P[z\leq -1.87] = 0.0298$

Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

Thus the on-time rate of 74% is incorrect.

6 0

3 years ago

How do you find the product of -2(3.1)

Alexxandr [17]

Answer:

- 6.2

Step-by-step explanation:

The product of - 2 (3.1) is - 6.2.

Brackets mean to multiply so we have to multiply the - 2 by 3.1 which gives a result of - 6.2.

5 0

3 years ago

Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S

mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

Volume of a cylinder

$\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 1.5 cm
h = 0.25 cm

Substituting given values into the formula to find the volume:

$\sf \implies V=\pi (1.5)^2(0.25)$

$\sf \implies V=0.5625 \pi \:cm^3$

Find the density of the coin given it has a measured mass of 18.54 g

Density formula

$\sf \rho=\dfrac{m}{V}$

where:

$\rho$ = density
m = mass
V = volume

Given:

m = 18.54 g
$\sf V=0.5625 \pi \:cm^3$

Substituting given values into the density formula:

$\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}$

$\implies \sf \rho=10.49149385\:g\:cm^{-3}$

Given:

$\textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}$

$\textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}$

Therefore, as $\sf \rho=10.49\:g\:cm^{-3}$ the coin is made from silver.

4 0

2 years ago

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?

marissa [1.9K]

Answer:

one solution: x=10

Step-by-step explanation:

The coefficients of x on each side of the equal sign are different, so the equation is not a tautology. It must have exactly one solution.

8 0

3 years ago

What is the speed, if distance is 900 miles and time 300 minutes

riadik2000 [5.3K]

Answer:

3 mi/min

Step-by-step explanation:

speed =distance/time

900/300=3

8 0

3 years ago