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3 years ago

83 less than triple m

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

5 0

Answer:

3m-83

Step-by-step explanation:

Okay, so first, you'd like to triple m. This would mean that it would be m+m+m, which is also 3m. Next you have to subtract 83. This would make it 3m-83.

Hope this helped!! :D

If you have any questions, let me know!

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sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that ha

8090 [49]

Answer: one solution x + 3 = 5 x = 2 no other other value for x is possible

No solution: (x + 3) = 2(x +3)

Infinitely many solutions: x+3 = 3 + x

Step-by-step explanation:

why (x + 3) = 2(x +3) has no solution. Can you solve?

x+3=2x+6 -x=3 x=-3 substute -3 for x

(-3)+ 3)= 2[(-3) +3]

-3+3 = -6 +3

0 = -3 False!

x+3 = 3 + x has infinitely many solutions. Substitute any number for x, and the equation is true (5)+3=3+(5) 8=8 . 11111+3 =3+11111 11114=11114

6 0

4 years ago

A researcher is interested in comparison of male and female students of Rutgers University in terms of how many hours they study

nekit [7.7K]

Answer:

Step-by-step explanation:

Hello!

The researcher is interested in comparing how many hours per week the students dedicate to studying regarding their gender.

Let 1 denote the females and 2 denote the males, the parameter of interest will be the difference between the average weekly study hours of female students and the average weekly hours of study of male students, symbolically:

μ₁ - μ₂

If the objective is to see if there is any difference between the average weekly study hours, the statistical hypotheses are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.02

The calculated statistic is $Z_{H_0}$ = 2.86

This Hypothesis test is two-tailed, meaning that the rejection region is divided in two tails, using the critical value approach:

$Z_{\alpha /2}= Z_{0.01}= -2.334$

$Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99}= 2.334$

The decision rule is:

If $Z_{H_0}$ ≤ -2.334 or if $Z_{H_0}$ ≥2.334, then you reject the null hypothesis.

If -2.334 < $Z_{H_0}$ < 2.334, then you do not reject the null hypothesis.

$Z_{H_0}$ is greater than the upper critical value, so the decision is to reject the null hypothesis.

Then using a 2% significance level, the test is significant, you can conclude that the population mean weekly study hours of female students and the population mean weekly hours of study of male students are different.

I hope this helps!

3 0

3 years ago

(25 points & Brainliest, please explain)

My name is Ann [436]

Answer:

Quadratic expression

Step-by-step explanation:

5x + 3x^2 − 7

Degree of expression = 2

So it is Quadratic expression

6 0

3 years ago

Read 2 more answers

Find the values of x and y. Write your answers in simplest form

SCORPION-xisa [38]

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 45^\circ=\frac{6}{y}$

Solving for y:

$\displaystyle y=\frac{6}{\cos 45^\circ}$

$\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$

Substituting:

$\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}$

$y=6\cdot \sqrt{2}$

Now use the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 45^\circ=\frac{x}{6}$

Solving for x:

$x=6\cdot\tan 45^\circ$

$\tan 45^\circ=1$

Substituting:

$x=6\cdot 1$

$x =6$

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

6 0

3 years ago

An engineer travels daily from home tothelaboratory each morning with an average commutetime of 24.6 minutes with a standard dev

charle [14.2K]

Answer:

1.74% probability that the commute takes more than 32 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 24.6, \sigma = 3.5$

a.What is the probability that the commute takes more than 32 minutes?

This is 1 subtracted by the pvalue of Z when X = 32. So:

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

$Z = \frac{32 - 24.6}{3.5}$

$Z = 2.11$

$Z = 2.11$ has a pvalue of 0.9826.

So there is a 1-0.9826 = 0.0174 = 1.74% probability that the commute takes more than 32 minutes.

7 0

3 years ago