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3 years ago

He0pl me plsssssssss

Mathematics

1 answer:

Ganezh [65]3 years ago

8 0

<h2>Answer:</h2>

<h3>1) $\frac{1}{2}$ </h3><h3>3) $\frac{1}{6}$ </h3><h3>5) $\frac{2}{3}$ </h3><h3 /><h2>Step-by-Step Explanation:</h2><h3 />

1.<em> </em>Find the probability of rolling less than a four.

<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6

<u>Outcomes lower than four</u> = 1, 2, 3

Then to answer it you need the probability in the form of a fraction.

$\frac{3}{6}$ simplifies into $\frac{1}{2}$

2. Find the probability of rolling an even prime number.

<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6

<u>Prime Numbers Through 1-6</u> = 2, 3, 5

<u>Even Prime numbers Through 1-6</u> = 2

So the probability in the form of a fraction.

3. Find the probability of rolling factors of 20.

<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6

<u>Factors of 20 Through 1-6</u> = 1, 2, 4, 5

So probabilty in the form of a fraction.

$\frac{4}{6}$ simplifies into $\frac{2}{3}$

<h3>That's all! I hope this helps! If you ever need my help, just friend me and message me!</h3>

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Pls help me on this question :-

Nastasia [14]

Answer:

We conclude that the rule for the table in terms of x and y is:

y = 3x+2

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

(-2, -4)

(-1, -1)

Finding the slope between (-2, -4) and (-1, -1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)$

$m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}$

$m=3$

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

y = 3x+2

7 0

3 years ago

The distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 mi

Orlov [11]

Answer:

a) 0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

b) 0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.

c) 0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.

d) 0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean

Step-by-step explanation:

Problems of normally distributed distributions 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:

$\mu = 51200, \sigma = 8200$

Probabilities:

A) Between 55,000 and 65,000 miles

This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 55000. So

X = 65000

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

$Z = \frac{65000 - 51200}{8200}$

$Z = 1.68$

$Z = 1.68$ has a pvalue of 0.954

X = 55000

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

$Z = \frac{55000 - 51200}{8200}$

$Z = 0.46$

$Z = 0.46$ has a pvalue of 0.677

0.954 - 0.677 = 0.277

0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

B) Less than 48,000 miles

This is the pvalue of Z when X = 48000. So

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

$Z = \frac{48000 - 51200}{8200}$

$Z = -0.39$

$Z = -0.39$ has a pvalue of 0.348

0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.

C) At least 41,000 miles

This is 1 subtracted by the pvalue of Z when X = 41,000. So

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

$Z = \frac{41000 - 51200}{8200}$

$Z = -1.24$

$Z = -1.24$ has a pvalue of 0.108

1 - 0.108 = 0.892

0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.

D) A lifetime that is within 10,000 miles of the mean

This is the pvalue of Z when X = 51200 + 10000 = 61200 subtracted by the pvalue of Z when X = 51200 - 10000 = 412000. So

X = 61200

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

$Z = \frac{61200 - 51200}{8200}$

$Z = 1.22$

$Z = 1.22$ has a pvalue of 0.889

X = 41200

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

$Z = \frac{41200 - 51200}{8200}$

$Z = -1.22$

$Z = -1.22$ has a pvalue of 0.111

0.889 - 0.111 = 0.778

0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean

4 0

3 years ago

1. Identify the polynomial.

maks197457 [2]

Answer:

the correct answer is Trinomial

8 0

3 years ago

Prove the identity sin4x=2sin2xcos2x

Musya8 [376]

There is a trig identity called the sum of 2 angles for sin its<span>
sin(a+b)=sin(a)cos(b)+cos(a)(sin(b)
</span>
You will need to use it. So in your question split the 4x in 2 equal parts 2x and 2x
<span>
</span><span>sin(4x)=sin(2x+2x)

</span>Now using the expansion above you will get

<span>sin(2x+2x)=sin(2x)×cos(2x)+cos(2x)×sin(2x)

</span>And it will simplify to

<span><span>2sin(2x)cos(2x)

I hope this helps you! Good luck :)</span></span>

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3 years ago

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3 years ago