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2 years ago

3

The lengths of the side of a triangle are 74 feet, 38 feet, and 88 feet. What is the length of the altitude drawn to the longest

side

1 answer:

Oksana_A [137]2 years ago

6 0

See attached (all calculations are in the graphic).

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Reyna has 5 coins worth 10 cents each and 4 coins

Zolol [24]

Answer:

The Probability found is:

P = $\frac{13}{18}$

Step-by-step explanation:

Let x be the 10 cents coin.

Let y be the 25 cents coin.

We have to find all the possible outcomes

1) First coin = 10 cents, Second coin = 10 cents , so

(x,x) = 20

2) First coin = 10 cents, Second coin = 25 cents , so

(x,y) = 35

3) First coin = 25 cents, Second coin = 10 cents , so

(y,x) = 35

4) First coin = 25 cents, Second coin = 25 cents , so

(y,y) = 50

Find the probability of each outcome:

P(x,x) = $\frac{5}{9}\cdot\frac{4}{8}=\frac{20}{72}$

P(x,y) = $\frac{5}{9}\cdot\frac{4}{8}=\frac{20}{72}$

P(y,x) = $\frac{5}{9}\cdot\frac{4}{8}=\frac{20}{72}$

P(y,y) = $\frac{4}{9}\cdot\frac{3}{8}=\frac{12}{72}$

Add all the probabilities where sum is at least 35 i.e P(x,y) , P(y,x) , P(y,y)

P(x,y) + P(y,x) + P(y,y) = $\frac{20}{72}+\frac{20}{72}+\frac{12}{72} = \frac{52}{72}=\frac{13}{18}\\$

6 0

2 years ago

Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they canno

tensa zangetsu [6.8K]

<h2>Answer with explanation:</h2>

As per given , we have

$\hat{p}=0.48$ , n=331

Critical value for 90% Confidence interval : $z_{\alpha/2}=1.645$

a) Confidence interval :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.48\pm (1.645)\sqrt{\dfrac{0.48(1-0.48)}{331}}\\\\\approx 0.48\pm0.02746\\\\=(0.48-0.02746,\ 0.48+0.02746)\\\\=(0.45254,\ 0.50746)$

Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : $(0.45254,\ 0.50746)$

b) Margin of error : E=1.5%=0.015

Formula for sample size : $n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

For p =0.48 , we have

$n=0.48(1-0.48)(\dfrac{1.645}{0.015})^2=3001.88373333\approx3002$

Hence, the required sample size to survey = 3002

6 0

2 years ago

$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. H

Basile [38]

Answer:

7.5 years

Step-by-step explanation:

P = $5000,

R = 4.25%,

A = $6593.75,

N =?

SI = A - P = 6593.75 - 5000 =$1593. 75

$\because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \:$

6 0

2 years ago

A rural mail carrier logged the mileage on the odometer at the start of the mail route as 31,500 miles. After 6.5 hours, the car

disa [49]

Answer:

Step-by-step explanation:

Average speed = total distance / total time taken

Average speed is the total distance traveled divided by the total time taken

The carrier first odometer route is

d_1 = 31,500 miles

On return of the truck, the odometer reads

d_2 = 31,713 miles

The total time taken is 6.5 hours on return

Then,

Average Speed = total distance / total time.

A.V = (d_1 + d_2) / t

A.V = (31,500 + 31713) / 6.5

A.V = 63213 / 6.5

A.V = 9725.1 mile per hour

A.V = 9725.1 mph

3 0

2 years ago

Match each polynomial expression to its additive inverse

zvonat [6]

Answer:

(1, 2, 3, 4) matches (A, C, B, D)

Step-by-step explanation:

The additive inverse of a term is formed by changing the sign. The additive inverse of the polynomial is formed by changing the sign of every term.

If we call the expressions on the left (top-to-bottom) 1, 2, 3, 4, and those on the right A, B, C, D, then the match-up <em>in this presentation of the question</em> is ...

1 - A

2 - C

3 - B

4 - D

_____

YMMV if the expressions are mixed differently

6 0

2 years ago

Read 2 more answers