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Darina [25.2K]
3 years ago
5

Find the surface area of this rectangular pyramid. 4.5 in 3 in 4 in 5 in​

Mathematics
2 answers:
zhenek [66]3 years ago
5 0

Answer:

pretty sure it's 41.75 i fixed it dont pay attention to my comment

nata0808 [166]3 years ago
3 0

Answer:

The surface area is 31.75 inches

Explanation:

To find the area of a triangle, we use the formula \frac{bh}{2}, or <em>base · height ÷ 2</em>

Using this formula, we find that the area of the front and back triangles is 10

On the side triangles, the formula shows the area to be 6.75

The base, which has a width of 5 and a length of 3, is 15

Add the numbers together and you get a total surface area of 31.75 inches

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3x+5y=16 is linear equation........
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3 years ago
Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
Identify Like terms : 3y2, 2/3x, -3/4y2, 5x, 12x2
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3y^2 and -3/4y^2 
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12x^2
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3 years ago
Factor the expression completely:<br> x⁴ + 27x
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I dont know if this is right but here u goo

7 0
3 years ago
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What is the simplified expression for Negative 3 (2 x minus y) + 2 y + 2 (x + y)?
Lana71 [14]

Answer:

7y - 4x

Step-by-step explanation:

-3 (2x-y)+2y+2(x+y)\\

Step 1:  Open the brackets

= -6x+3y +2y +2(x+y)\\=-6x +3y + 2y +2x + 2y

Step 2: Bring the similar variables together

=-6x +2x \ +3y + 2y + 2y

Step 3: Simplify by adding/subtracting the coefficients of the similar variables

= - 4x +7y

Step 4: Rearrange as required.

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3 years ago
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