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Serhud [2]
3 years ago
8

Brett warmed up for his basketball game by running around the court 3 times . If the court is 84 feet by 50 feet, how many feet

did he jog?
Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= 2(l+w)

where, l= length

           w= width

∴ Perimeter of rectangular court= 2(84\ feet + 50\ feet)

⇒ Perimeter of rectangular court= 2(134\ feet)

Opening parenthesis

⇒ Perimeter of rectangular court= 2\times 134\ feet= 268\ feet

Hence, Brett run 268 feet in one round of warm up.

As given, Brett ran around the court 3 times.

∴ Total number of feet= 268\ feet\times 3= 804\ feet

Hence, Brett jog for 804 feet.

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Ivahew [28]

Answer: (0.066,0.116)

Step-by-step explanation:

The confidence interval for proportion is given by :-

p_1-p_2\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}

Given : The proportion of men have red/green color blindness = p_1=\dfrac{89}{950}\approx0.094

The proportion of women have red/green color blindness = p_2=\dfrac{6}{2050}\approx0.003

Significance level : \alpha=1-0.99=0.01

Critical value : z_{\alpha/2}=z_{0.005}=\pm2.576

Now, the 99% confidence interval for the difference between the color blindness rates of men and women will be:-

(0.094-0.003)\pm (2.576)\sqrt{\dfrac{0.094(1-0.094)}{950}+\dfrac{0.003(1-0.003)}{2050}}\approx0.091\pm 0.025\\\\=(0.09-0.025,0.09+0.025)=(0.066,\ 0.116)

Hence, the 99% confidence interval for the difference between the color blindness rates of men and women= (0.066,0.116)

4 0
3 years ago
Which choice is the correct graph of [x] > 3?
Free_Kalibri [48]

Answer:

I honestly don't know what the answer is that you are looking for

8 0
3 years ago
Identify the polygon using as many names as possible
ollegr [7]
A to line b
b to line c
c to line d
d to line e 
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6 0
2 years ago
Suppose the local Barons team wins every game they play with a probability of 0.75. What is the probability that the Barons woul
kondaur [170]

Answer:

The probability is 0.173

Step-by-step explanation:

The probability is of winning is 0.75 = 75/100 = 3/4

This means that the probability of losing is 0.25 = 25/100 = 1/4

So if they are two win 4 games, they will lose three

We can get this probability using the Bernoulli approximation of the binomial theorem

So here, we have

P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3

= 0.173034667969

which is approximately 0.1730

6 0
2 years ago
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to
Elodia [21]

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is  75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

=  \frac{4.5}{750}

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

8 0
2 years ago
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