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3 years ago

PLZ HELP FAST!!

1 answer:

5 0

Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.

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A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees systolic b

Yuri [45]

Answer:

A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level

Step-by-step explanation:

The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees

The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure

The 95% confidence interval obtained = (5.6, 10.2)

Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program

5 0

3 years ago

Jonah drew two squares with the same dimension. He then added 2 inches to the length of one square to make it a rectangle. He al

Lubov Fominskaja [6]

Answer:

Perimeter of rectangle added 2 to length:

perimeter of rectangle= length + width + length + width

P = ( l + 2 ) + w + ( l + 2 ) + w

P = 2 ( l + 2 ) + 2 w

P = 4 + 2 l + 2 w

Perimeter of rectangle added 2 to width:

P = l + w + l + w

p = l + ( w + 2) + l + ( w + 2)

p = 2 l + 2 ( w + 2)

p = 2 l + 2 w + 4

5 0

4 years ago

The weights of ice cream cartons are normally distributed with a mean weight of 8 ounces and a standard deviation of 0.4 ounce.

Alla [95]

Answer:

a) 0.373 probability that a randomly selected carton has a weight greater than 8.13 ounces

b) 0.097 probability that mean weight of 16 randomly selected carton is greater than 8.13 ounces

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8 ounces

Standard Deviation, σ = 0.4 ounce

We are given that the distribution of weights of ice cream cartons is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(weight greater than 8.13 ounces)

P(x > 8.13)

$P( x > 8.13) = P( z > \displaystyle\frac{8.13 - 8}{0.4}) = P(z > 0.325)$

$= 1 - P(z \leq 0.325)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.627 = 0.373 = 37.3\%$

b) P(weight of 16 randomly selected cartons is greater than 8.13 ounces)

P(x > 8.13)

$P( x > 8.13) = P( z > \displaystyle\frac{8.13 - 8}{\frac{0.4}{\sqrt{16}}}) = P(z > 1.3)$

$= 1 - P(z \leq 1.3)$

Calculation the value from standard normal z table, we have,

$P(x > 8.13) = 1 - 0.903 = 0.097 = 9.7\%$

5 0

3 years ago

Ratio please help much appreciated

Komok [63]

Ratio = 3:5
Total ratio is 8
8 shares represent ------> £ 40
Find for one share
1 share ------> £40/8 = £5
Now find 3 and 5 shares
Bart : 3 shares ------> £ 5×3 = £15
Lisa : 5 shares ------> £ 5×5 = £25

6 0

3 years ago

Read 2 more answers

Find the height of the rectangular prism below if the volume is 334.8 meters cubed.If the length is 18 and the width is 6

SpyIntel [72]

Answer:

3.1 meters

Step-by-step explanation:

Let the height of rectangular prism be h m.

$\therefore \: h = \frac{volume}{l \times w} \\ = \frac{334.8}{18 \times 6} \\ = \frac{334.8}{108} \\ \huge \red{ \boxed{\therefore \: h =3.1 \: m}}$

Hence, height of rectangular prism = 3.1 m

8 0

3 years ago