Which descriptions of the figure MUST be true? Select all that apply.<br><br> Please help me

Find P(7).<br> 1/8<br> 1/4<br> 1/2

nadezda [96]

P(7) = $\frac{1}{8}$

There are 8 possible outcomes from the spinner and only one 7, hence

P(7) = $\frac{1}{8}$

4 0

4 years ago

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1.What is the value of log3 729?

xxMikexx [17]

I believe the value of log3 729 is 6

3 0

3 years ago

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HELP HELP HELP<br><br> Just 5 quick algebra 1 questions for 50 points!

riadik2000 [5.3K]

1. x = a

2. y = b

3. It has an undefined slope.

4. You can either use, rise/run or change in y / change in x.

5. Rewrite the given equation in slope-intercept form, then determine the y-intercept, b, of the line.

<h3>What is the Equation of a Line?</h3>

Equation of a line with m as slope and b as y-intercept is given as: y = mx + b.

1. Vertical lines have undefined slope. This implies that, for a given point, (a, b), the equation that models the line would be expressed as x = a, where a is the x-intercept.

Vertical line equation is: x = a.

2. Horizontal lines have 0 as a slope value, therefore, given (a, b), the equation that models the line is: y = b.

3. Equation for a vertical line cannot be written in slope-intercept form because the slope for a vertical line is undefined.

4. Using the following, rise/run or change in y / change in x, the slope (m), can be calculated given the coordinates of two points on a line.

5. To find an equation in point-slope form, e.g. y - 3 = 6(x - 4), rewrite the equation in slope-intercept form:

y - 3 = 6x - 24

y = 6x - 24 + 3

y = 6x - 21

The y-intercept, b, is: -21.

Therefore, the coordinate of the y-intercept would be: (0, -21).

Learn more about the equation of a line on:

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4 0

2 years ago

Marisol rode her bicycle each day for five days. estimate how far she biked in all. round each number to the nearest whole numbe

o-na [289]

Marisol biked a total of 71 miles. On the other hand, she biked about 10 more miles on Wednesday than on Thursday.

<h3>How to round numbers?</h3>

The general rule is to move the decimal number to its nearest tenth. For example, 5.6 should be rounded as 6 but 5.1 should be rounded as 5.

Now, let's round the distance covered by Marisol each day:

Monday: 12.3 = 12
Tuesday: 14.1 = 14
Wednesday: 17.7= 18
Thursday: 11.8 = 12
Friday: 15.2 = 15

<h3>What distance did Marisol covered?</h3>

To know this just add the distance every day:

12 + 14 +18 + 12 + 15 = 71 miles

<h3>How much more did she bike on Wednesday than on Thursday?</h3>

Distance covered on Wednesday - distance covered on Thursday

18 - 12 = 6 miles

Note: This question is incomplete; here is the missing information:

Monday 12.3
Tuesday 14.1
Wednesday 17.7
Thursday 11.8
Friday 15.2

Learn more about addition in: brainly.com/question/17407789

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8 0

1 year ago

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.3

anyanavicka [17]

Answer:

n=465 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=3.3$ represent the population standard deviation

Confidence =0.95 or 95%

Me= 0.3, represent the margion of error

n represent the sample size (variable of interest)

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.3 mm and we are interested in order to find the value of n, if we solve n from equation (4) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(3.3)}{0.3})^2 =464.8336 \approx 465$

So the answer for this case would be n=465 rounded up to the nearest integer

3 0

3 years ago

Which descriptions of the figure MUST be true? Select all that apply. Please help me