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3 years ago

Of the 50 U.S. states, 4 have names that start with the letter W.

Mathematics

2 answers:

aalyn [17]3 years ago

8 0

Answer:

Step-by-step explanation:

brainiest plz

oksian1 [2.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

When it comes to finding percentages, I use fractions. Is over of, multiplied by % over 100.Since 4 out of 50 states start with W, then 50 would be "of" and 4 will be "is". So you would multiply 4 times 100, which equals 400. And 50 times x, which equals 50x. Since you ate trying to get x by itself, you would divide both numbers by 50. 50 divided by 50 equals x. And 400 divided by 50 equals 8. So the answer would be 8%.

Hope this helps!! Have a great day!

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A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of

notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.01 = 0.99$ , so Z = 2.327.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031$

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.0001 = 2.327\frac{0.0003}{\sqrt{n}}$

$0.0001\sqrt{n} = 2.327*0.0003$

$\sqrt{n} = \frac{2.327*0.0003}{0.0001}$

$(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2$

$n = 48.73$

Rounding up

49 measurements are needed.

7 0

3 years ago

The graph shows a probability distribution. What is P(X<5)

Thepotemich [5.8K]

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note: The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:

(average length)·(width, which here is:

2 + 5

----------- · 0.02 = (7/2)(0.2) = 0.70

Thus, P(x < 5) = 0.70

7 0

3 years ago

#1- Jennifer made a box plot to summarize this data. 124, 118, 129, 139, 133, 129, 142, 135, 122, 137. What is the median, the l

svp [43]

Answer:

B or

Lower quartile: 124

Median: 131

Upper quartile: 137

Step-by-step explanation:

To find the median first make the data in order from greatest to least:

118,122,124,129,129,133,135,137,139,142

Then find the middle 2 numbers which are 129 and 133

129+133=262 (divide by 2 to find average) so

median= 262/2=131

To find the Lower quartile find the number in the middle of the first 5 numbers which is 124

To find the Upper quartile find the number in the middle of the second 5 numbers which is 137 so

B or

Lower quartile: 124

Median: 131

Upper quartile: 137

8 0

3 years ago

A man earns $3580 per month and spend 65% of it. How much does he save every month?

Sloan [31]

Answer:

23000 dollars

Step-by-step explanation: because 3580 is about i dont even know scrub

4 0

3 years ago

Multiply out and simplify: (x + 6)(x - 2)

Gwar [14]

Answer:

x squared+4x−12

Step-by-step explanation:

5 0

3 years ago

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