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3 years ago

Two parallel lines are corded by a transversal. What is value of m ?

Mathematics

2 answers:

Dahasolnce [82]3 years ago

6 0

The answer is 102

78 and m equals 180

180-78=102

suter [353]3 years ago

3 0

The answer is m=102. Because there is a straight line that is 180° and a angle 78°, so subtract 180°-78° to give you 102°

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-3:1 :) have a nice day!

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3 years ago

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Pediatricians work an average of 48 h per week. The standard deviation is 12 hours. What percentage of pediatricians work more t

cricket20 [7]

Answer: 2.28 %

Step-by-step explanation:

Given : Mean : $\mu=\ 48$

Standard deviation : $\sigma= 12$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 72

$z=\dfrac{72-48}{12}=2$

The p-value = $P(2$

$1-0.9772498=0.0227502\approx0.0228$

In percent, $0.0228\times100=2.28\%$

Hence, the percentage of pediatricians work more than 72 h per week = 2.28 %

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3 years ago

Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!

$T = (-1250(0))-(-1250e^0)$

$T = 1250$

this is the total amount of waste

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2 years ago

In a class of 7 there are 2 students who forgot their lunch. If the teacher chooses 2 students what is the probability that both

Reika [66]

It is about a 28% chance.

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3 years ago

15.75 ÷ 0.25 using the standard algorithm for division.

mina [271]

63 due to .25 being 1/4 so 15 times four is 60 and 75 divided by 25 is 3

3 0

3 years ago