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Lena [83]
3 years ago
13

Work out the difference in minutes between 1 hour 25 minutes and 1 1/4 hours step by step please :)

Mathematics
1 answer:
Maru [420]3 years ago
3 0

\huge\boxed{\boxed{\bold{10\ \bftext{minutes}}}}

\hrulefill

First, let's change both of these times into just minutes. (We know that one hour is sixty minutes.)

\text{First time: } 1*60+25=60+25=85

\text{Second time: } 1*60+\frac{1}{4}*60=60+15=75

Now, just subtract:

85-75=\large\boxed{10}

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Find the inverse of the function. f(x) = 7x + 8
lana66690 [7]

Answer:

\frac{x-8}{7}

Step-by-step explanation:

A way to find the inverse function is to swap the x and y (f(x)) in the equation.

y = 7x + 8\\x = 7y + 8\\x-8 = 7y\\y = \frac{x-8}{7}

We can check that it is an inverse function by using a property of inverse functions:

f(g(x)) = x

If we plug in the f(x) function into the variable x of the inverse function, we should end up with x

y = \frac{(7x + 8) - 8}{7}\\y = \frac{7x}{7} \\y = x\\

It checks out!

4 0
3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro
astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

7 0
3 years ago
Help pls! I need help to finish :(<br> No Links!
atroni [7]
The answer is 7.5.
7 4/8 is also 7.5
5 0
3 years ago
The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.
nalin [4]

Answer:

Part 1) The area is A=4,069.44\ in^{2}

Part 2) The circumference is C=226.08\ in

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

A=\pi r^{2}

we have

r=72/2=36\ in ------> the radius is half the diameter

\pi =3.14

substitute

A=(3.14)(36)^{2}

A=4,069.44\ in^{2}

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

C=\pi D

we have

D=72\ in

\pi =3.14

substitute

C=(3.14)(72)

C=226.08\ in

5 0
3 years ago
Which expression has a value of 90?
ratelena [41]

Answer:

1. 73.2

2. 90

3. 80

4. 80

Step-by-step explanation:

you will have to divide 3,600 by 50

8 0
3 years ago
Read 2 more answers
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