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Romashka [77]
2 years ago
13

Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will the artist save if the

artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect
Mathematics
2 answers:
Advocard [28]2 years ago
8 0
5% + 5% = 10% 
He will save 10% 
Kobotan [32]2 years ago
8 0

Answer:

Step-by-step explanation:

Let the cost of canvas be $x per sq inches.

Measurement of the canvas bought by the artist is

24 × 36 inches

Area of canvas = 24×36= 864 sq inches

Cost of canvas = 864x

New cost of canvas =x+5% of x

=x+0.05x

=1.05x

New Cost of canvas = 907.20x

Increase in price=907.20x-864x=43.2x

Percentage = \frac{43.2x}{864x}*100

= 5%

Hence artist is going save 5% of cost by buying sheet today.

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The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, durin
grigory [225]

Answer:

5\ \frac{miles}{hour}

Step-by-step explanation:

<u><em>The complete question is</em></u>

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours) Miles Traveled (Miles)

0.50 2.00

0.75 3.50

1.00 4.75

Let

x ----> the time in hours

f(x) ----> the distance traveled in miles

so

we have

x (Hours)   0.50   0.75  1.00

f(x) (Miles)  2.00   3.50  4.75

we know that

To find the average speed, we divide the change in the output value by the change in the input value

the average speed is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

a=0.75

b=1.00

f(a)=f(0.75)=3.50  

f(b)=f(1.00)=4.75

Substitute

\frac{4.75-3.50}{1-0.75}

\frac{1.25}{0.25}

5\ \frac{miles}{hour}

8 0
2 years ago
Read 2 more answers
Victor has been wrongfully accused of helping a gorilla escape from the zoo. The probabilities of the court rulings are as follo
timurjin [86]

Answer:

Retrial, Guilty, and Innocent

Step-by-step explanation:

Khan Academy

7 0
2 years ago
At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. Assume each flight is independent of
mars1129 [50]

Answer:

52.56% probability that eight or more of the flights will arrive on time.

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it is on time, or it is not. The probability of a flight being on time is independent from other flights. So we use the binomial probability distribution to solve this question.]

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

At a certain airport, 75% of the flights arrive on time.

This means that p = 0.75

A sample of 10 flights is studied.

This means that n = 10

Find the probability that eight or more of the flights will arrive on time.

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.75)^{8}.(0.25)^{2} = 0.2816

P(X = 9) = C_{10,9}.(0.75)^{9}.(0.25)^{1} = 0.1877

P(X = 10) = C_{10,10}.(0.75)^{10}.(0.25)^{0} = 0.0563

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2816 + 0.1877 + 0.0563 = 0.5256

52.56% probability that eight or more of the flights will arrive on time.

4 0
2 years ago
Read 2 more answers
Jessica won $800,000 in a state lottery. After paying $320,000 in taxes, she invested the remaining money in a savings account a
Strike441 [17]
$7,446,000

800,000-320,000=480,000(.0425) gives you interest made daily then multiply by 365
4 0
2 years ago
Let h(x)=2x+5h(x)=2x+5h, left parenthesis, x, right parenthesis, equals, 2, x, plus, 5 and g(x)=8-3xg(x)=8−3xg, left parenthesis
BaLLatris [955]
The question is Let h(x)=2x+5  and <span>g(x)=8-3x
what is the value of </span><span>h(g(1.5))
 the answer 

</span>h(g(1.5))= 2g(1.5)+5, and <span>g(1.5)=8-3(1.5)=3.5, so
</span>h(g(1.5))= 2<span>(3.5)+5= 12
</span>h(g(1.5))= 12
8 0
2 years ago
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