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2 years ago

Help me with this please

Mathematics

1 answer:

Ket [755]2 years ago

5 0

Answer:

24 cubes

Step-by-step explanation:

24 cubes ::::::::::::/:/:):):):):/:

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In bowling, the distance from the foul line to the headpin is 60 feet. A bowling ball has a radius of about 4.3 Inches. How many

soldi70 [24.7K]

Answer:

about 26.6 times

Step-by-step explanation:

The circumference of the ball is found from ...

C = 2πr = 2π(4.3 in) ≈ 27.02 in

There are 12 inches per foot, so the 60 foot distance of interest is ...

(60 ft)×(12 in/ft) = 120 in

In terms of ball circumference, that distance is ...

(120 in)/(27.02 in/rotation) ≈ 26.6 rotations

If the ball starts rotating at the foul line, it will turn about 26.6 times before reaching the head pin.

4 0

2 years ago

Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. W

choli [55]

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

$\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21$

Total amount that food costs without tax is

$\Rightarrow 13+2.21\\\Rightarrow \$15.21$

7 0

2 years ago

in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t

kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

$P( x,n,p) = n Cx * p^{x } * q^ {n-x}$

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

$nC x = \frac{ n!}{ x! (n-x)! }$

From the question we can identify that:

n is equal to 4 multiple choice question
p is 1/5 or 0.2, the probability of get one question correct
q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

$P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096$

The probability of get one question correct of 4 questions is:

$P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096$

The probability of get three questions correct of 4 questions is:

$P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256$

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3 years ago

When solving the equation 4(3x+2)-9=8x+7, Emily wrote 4(3x+2)=8x+16 as her first step. Which property justifies Emily's first st

nataly862011 [7]

The Addition Property of Equality justifies Emily's first step. She added 9 to both sides, canceling out the minus 9 while keeping the equation equal.

6 0

3 years ago

What is the relationship between the two constants of proportionality?

DIA [1.3K]

We call the ratio between two directly proportional quantities the constant of proportionality. When two quantities are directly proportional, they increase and decrease at the same rate. While these two quantities may increase or decrease, the constant of proportionality always remains the same.

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2 years ago