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2 years ago

The box plot below represents some data set. What percentage of the data values are between 100 and 170? (Picture Below)

Mathematics

2 answers:

3241004551 [841]2 years ago

6 0

Answer:

74%

Step-by-step explanation:

looking left to right the each verticle "line "marks 25%

oee [108]2 years ago

6 0

Notice how the entire line segment is split into 4 sections.

Section 1: 50 - 100

Section 2: 100 - 140

Section 3: 140 - 170

Section 4: 170 - 190

Since it's 4 sections, each section equals 25%

Here we need to find the percentage from 100 - 170

That means sections 2 - 3

Section 2 + Section 3 = 25% + 25% = <u>50%</u>

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uppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.2 and a standard deviation of 1.49. Us

liubo4ka [24]

Answer:

99.85% of American women have shoe sizes that are less than 12.67

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.2

Standard deviation = 1.49

Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.67

12.67 = 8.2 + 3*1.49

12.67 is 3 standard deviations above the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above. Of those 50% above, 99.7% are between the mean and 12.67. So

0.5 + 0.997*0.5 = 0.9985

99.85% of American women have shoe sizes that are less than 12.67

6 0

3 years ago

A canister contains 12 ounces of flour. When the canister is full, it holds 6 times as much flour.

satela [25.4K]

Answer:

72 ounces

Step-by-step explanation:

given that it is holding 12 ounces and it says that the max is 6 times that of the 12 ounces it would be

12×6

thus it would equal 72

5 0

3 years ago

Read 2 more answers

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$