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2 years ago

PLEASE HELP ME!

2 answers:

5 0

Thicknesses at different point are: 41, 38, 36, 29, 34, 44, 46, 43, 35, 40

In increasing order: 29, 34, 35, 36, 38, 40, 41, 43, 44, 46

Median = (38+40)/2 = 39m

Median thickness is 39m

nasty-shy [4]2 years ago

3 0

Answer:

Median=39m

Step-by-step explanation:

It is given that the data set is in the form of the 10 locations on the glacier, so these are:

41, 38, 36, 29, 34, 44, 46, 43, 35, 40

In order to find the estimated median thickness of the entire glacier, we need to arrange the given data set in ascending order.Thus,

29, 34, 35, 36, 38, 40, 41, 43, 44, 46

Therefore, the median is:

$M=\frac{38+40}{2}$

$M=\frac{78}{2}$

$M=39m$

Thus, the estimated median thickness of the entire glacier is 39m.

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Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume

Alex787 [66]

Answer:

Correct option: third one -> 11.5 m3

Step-by-step explanation:

To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:

V_rectangular = 4m * 2m * 1m = 8 m3

V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3

Now, to find the volume of the ramp, we just need to sum both volumes:

V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3

Correct option: third one.

6 0

2 years ago

Read 2 more answers

Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit

Arada [10]

Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
c = 14/7
c = 2

c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
b + (2) = 7
Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps

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2 years ago

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2 years ago

Rational number 3 by 40 is equals to

kkurt [141]

Answer:

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2 years ago

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A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le

borishaifa [10]

Answer:

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

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".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

5 0

2 years ago