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m_a_m_a [10]
4 years ago
15

What is the volume of the cone with a radius of 10ft and a height of 21ft?round to the nearest cubic foot

Mathematics
1 answer:
Ivan4 years ago
3 0
Volume of cone is 2200ft
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A civil engineer is mapping the overhead clearance of his family’s property on a coordinate grid. The ground is represented by t
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We are given
x1 = 10 ft
y1 = 14 ft
x2 = 13 ft
y2 = 9 ft

We are asked to find the distance between the base of the house to the closest treetop.

So,
d1 = √(10² + 14²) = 17.20
d2 √(13² + 9²) = 15.81

The distance is 15.81 ft to the closest treetop which is the tree 13 feet from the base of the house.
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Zero slope. When it is a straight line across its a zero slope and when it’s up and down its undefined.
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A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choo
Keith_Richards [23]

Answer:

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated

 

Step-by-step explanation:

 Given the data in the question;

To test whether population proportion p is overstated;

Null hypothesis H₀ : p = (75%) = 0.75

Alternative hypothesis H₁ : = < (75%) < 0.75

now, sample proportion p" = 64 / 100 = 0.64

from the dot plot below, we will determine the p-value for test { P(p" < 0.64)}

so, the number of times p"<0.64 in 150 simulations is 5

Hence; P(p" < 0.64 ) = 5 / 150 = 0.0333

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated

7 0
3 years ago
What procedure will find the sum a+b of two numbers where a and b represent any integer?
ElenaW [278]

Answer:As rational number includes natural number, whole number ,integers  also.

⇒Natural number(1,2,3,4....) is a rational number also.

So, when A= Natural number , B=Any other natural number

Just add two natural number using simple law of addition.

⇒As Whole numbers(0,1,2,3,...) are Rational number also.

So If A=any whole number, B=Any other whole number

Add the whole number in any order using law of addition.

⇒Coming to integers (....-123,....-5,...-1,....12,....59,.....) By taking any two integers ,

1. Both of them are positive add using simple law of addition.

2. One of them is positive and other is negative , if larger one has positive sign before it just subtract smaller one from larger one and put positive sign before the result.and if larger one has negative sign before it ,subtract smaller one from larger one and put negative sign before the result.

⇒If both of them are negative , just add the two integers and apply negative sign before the result.

4. Rational number as fractions ,

A=m/n and B=p/q

A+B=m/n + p/q

find LCM of n and q.

If n and q are co-prime multiply n and q to get the LCM.For example if n=5, q=7, then LCM=5×7=35

If n and q are not co-prime find the factors of n and q .take out the common factors and then multiply the common factors with those factors which are not common.

For example, n=15, q=20

15=5×3

20=2×2×5

common factor=5

non common factor=2,2,3

LCM=5×2×2×3=60

Suppose LCM(n,q)= K

⇒p/q+m/n

=

So ,

which is the way to find LCM of rational number when theyare fractions.

Step-by-step explanation:

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3 years ago
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Answer:

Step-by-step explanation:

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