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1 year ago

What property would you use first to solve 1/2x-6=10? Explain

Mathematics

2 answers:

fgiga [73]1 year ago

7 0

*cough* Should've taken notes *cough*

Flura [38]1 year ago

3 0

You would first use addition to move -6 over to the other side of the equation making the new equation 1/2x=16. You would then multiply by 2 to get x=32. Hope this helps!

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The time for a professor to grade a student's homework in statistics is normally distributed with a mean of 12.6 minutes and a s

Rus_ich [418]

Answer:

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

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 problem, we have that:

$\mu = 12.6, \sigma = 2.5$

What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?

This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So

X = 12

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

$Z = \frac{12 - 12.6}{2.5}$

$Z = -0.24$

$Z = -0.24$ has a pvalue of 0.4052

X = 8

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

$Z = \frac{8 - 12.6}{2.5}$

$Z = -1.84$

$Z = -1.84$ has a pvalue of 0.0329

0.4052 - 0.0329 = 0.3723

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

7 0

2 years ago

8. Peter and his partner are conducting a physics experiment on pendulum motion. Their 30-cm

katrin2010 [14]

Answer: 90/pi degrees

Step-by-step explanation:

It forms a 15cm arc from a circle of radius 30 cm.

The diameter is 30*2*pi = 60pi cm. So the arc is 15/60pi = 1/4pi of the way around a 360 degree circle. This is 1/4pi * 360 = 90/pi degrees.

Hope that helped,

-sirswagger21

8 0

1 year ago

Which graph represents an exponential function?

maksim [4K]

Answer:

the bottom one

Step-by-step explanation:

all exponential graphs look similar to that

5 0

2 years ago

Read 2 more answers

Consider a disease whose presence can be identified by carrying out a blood test. Let p denote the probability that a randomly s

kifflom [539]

Answer:

The expected number of tests, E(X) = 6.00

Step-by-step explanation:

Let us denote the number of tests required by X.

In the case of 5 individuals, the possible value of x are 1, if no one has the disease, and 6, if at least one person has the disease.

To find the probability that no one has the disease, we will consider the fact that the selection is independent. Thus, only one test is necessary.

Case 1: P(X=1) = [P (not infected)]⁵

= (0.15 - 0.1)⁵

P(X=1) = 3.125*10⁻⁷

Case 2: P(X=6) = 1- P(X=1)

= 1 - (1 - 0.1)⁵

P(X=6) = (1 - 3.125*10⁻⁷) = 0.999999

P(X=6) = 1.0

We can then use the previously determined values to compute the expected number of tests.

E(X) = ∑x.P(X=x)

= (1).(3.125*10⁻⁷) + 6.(1.0)

E(X) = E(X) = 6.00

Therefore, the expected number of tests, E(X) = 6.00

3 0

2 years ago

Giselle buys two types of flowers 48 pink roses and 56 white lilies she combines the two flowers to make identical bouquets with

SSSSS [86.1K]

To solve this problem, let us first lay out all the factors of each number.

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

56 : 1, 2, 4, 7, 8, 14, 28, 56

The greatest number of bouquets that can be made would be equal to the greatest common factor of the two numbers. In this case it would be 8.

Answer:

<span>8 bouquets</span>

7 0

2 years ago