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alexandr1967 [171]
4 years ago
14

Amy and Alex are making models for their science project. Both the models are in the shape of a square pyramid. The

Mathematics
2 answers:
Varvara68 [4.7K]4 years ago
6 0

Answer:

128/3 cubic inches

Step-by-step explanation:

The formula for pyramid volume is (1/3)lwh. Using this we can calculate that the volume of each shape is 320/3 cubic inches and 192/3 inches. When these are subtracted, it reads 128/3 cubic inches.

Ksivusya [100]4 years ago
5 0

Answer:

The answer is 42.67 cubic inches.

Step-by-step explanation:

Both the models are in the shape of a square pyramid.

The length of the sides of the base for both the models is 8 inches.

Amy’s model is 5 inches tall and Alex’s model is 3 inches tall.

The volume is given by :

a^{2}\frac{h}{3}

So, Amy's figure volume is :

8^{2}\times \frac{5}{3} = 106.67 cubic inches

And Alex's figure volume is:

8^{2}\times \frac{3}{3} = 64 cubic inches

So, the difference between volumes is = 106.66-64=42.67 cubic inches.

The answer is 42.67 cubic inches.

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Cost of 5 m ribbon = 7.5 and cost of 1 m ribbon is​
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Answer:

1.50

Step-by-step explanation:

7.5 is <em>1.5</em><em> </em><em>x</em><em> </em>5 so, 1 x 1.5 = 1.5

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3 years ago
Suppose that in a random selection of 100 colored​ candies, 26​% of them are blue. The candy company claims that the percentage
quester [9]

Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

Hence, a) -0.2252, b) 0.8219

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3 years ago
Solve 5w^2+25=115, Where w is a real number.
MArishka [77]

Answer:

w=+/-4.24 or whatever could be either since its squared

Step-by-step explanation:

subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24

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6th grade math I mark as brainliest
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Answer:

C

Step-by-step explanation:

Hope this helps :)

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3 years ago
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