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umka2103 [35]
3 years ago
15

2. What is the volume of the regular pyramid to the nearest whole number? 14 cm 12 cm

Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0
291 cm^3

The volume of a pyramid is (area of base x height) / 3
In this case the base is an equilateral triangle with side 12cm.
Using the semi perimeter formula gives
Base = sr( 18 x 6 x 6 x 6) = 62.3538...
Volume = 62.3538... x 14 / 3 = 290.9845...
= 291 to nearest whole number

You could find the base area using Pythagoras and 1/2bh or the Sine formula
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The probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48 and of owning both is 0.45.
Vera_Pavlovna [14]

Answer:

The probability that the middle school student owns a skateboard or a bicycle is 0.61.

Step-by-step explanation:

We are given that the probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48, and owning both is 0.45.

A middle school student is chosen at random.

Let the probability of student owning a skateboard = P(S) = 0.58

The probability of student owning a bicycle = P(B) = 0.48

The probability of student owning both = P(S \bigcap B) = 0.45

Now, the probability that the middle school student owns a skateboard or a bicycle is given by = P(S \bigcup B)

        P(S \bigcup B) = P(S) + P(B) - P(S \bigcap B)

                      = 0.58 + 0.48 - 0.45

                      = 0.61

Hence, the probability that the middle school student owns a skateboard or a bicycle is 0.61.

4 0
3 years ago
The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cereal) were recorded for a sample of 16 diff
tigry1 [53]

Answer:

The best predicted calorie count for a cereal with a measured sugar amount of 0.40 g is 3.864

Step-by-step explanation:

Consider the provided information.

he linear correlation coefficient is r= 0.765 and the regression equation is \hat y= 3.46 + 1.01\times x

The mean of the 16 amounts of sugar is 0.295 grams and the mean of the 16 calorie counts is 3.76.We need to find the best predicted calorie count for a cereal with a measured sugar amount of 0.40 g

Substitute x = 0.40 in the given equation.

\hat y= 3.46 + 1.01\times 0.40

\hat y= 3.46 + 0.404

\hat y= 3.864

Hence, the best predicted calorie count for a cereal with a measured sugar amount of 0.40 g is 3.864

6 0
3 years ago
Evarado paid $1.12 for a dozen eggs at his local grocery store.  Determine the cost of 3 eggs
Anton [14]
First you have to find out the cost for a single egg.

Since there are a dozen (12) eggs, you can divide the total cost by that.
1.12/12 ≈ 0.09.

Using the base cost of an egg, you can find out how much 3 eggs would cost.

0.09 x 3 = $0.27
5 0
3 years ago
Read 2 more answers
Given that 7x – 2y = 30
weeeeeb [17]

Answer:

x=32/7

Step-by-step explanation:

7x-2(1)=30  Plug in 1 as y and simplify.

7x-2=30     Add 2 on both sides of the equation.

  <u>+2 +2</u>

7x=32         Divide both sides of the equation by 7.

<u>/7   /7</u>

x=32/7

Hope this helps...have an amazing day (。・∀・)ノ゙

8 0
3 years ago
Can somebody please help me
irinina [24]

Answer:

72 degrees.

Step-by-step explanation:

As it is a right angled triangle and if the smaller acute angle = x degrees then:

x + 4x + 90 = 180.

5x = 90

x = 18 degrees.

The larger acute angle = 4x = 4*18

=  72 degrees.

3 0
4 years ago
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