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2 years ago

2) Evaluate the given exponential expression

Mathematics

2 answers:

Talja [164]2 years ago

6 0

Answer:

$\frac{ {4}^{8} }{ {4}^{6} } = {4}^{2} = 16$

I hope I helped you^_^

Elodia [21]2 years ago

4 0

Answer:

Step-by-step explanation:

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Jasmine buys the magic carpet on sale for $374. She saved $66 off the regular price. What percent was the price discounted?

Furkat [3]

Answer:

15%

Step-by-step explanation:

Let c represent the regular price of the carpet.

Then:

sale price = regular price less discount

$374 = c - $66

Adding $66 to both sides isolates (solves for) c:

$374 + $66 = c = $440. This is the regular price.

$66

---------- = 0.15 This is the fraction of the regular price by

$440 which the regular price is reduced.

Then the percentage of this discount was 0.15(100%) = 15%

8 0

2 years ago

Samuel has an ant farm with a volume of 375 cubic inches. The width of the ant farm is 2.5 inches and the length is 15 inches. W

Alexxandr [17]

Answer:

Step-by-step explanation:

From the given information, it is clear that the shape of ant form is rectangular prism.

Let us write formula for volume of rectangular prism (ant form)

V = l x w x h

Use the formula to write an equation.

Plug V = 375, w = 2.5 and l = 15

375 = 15 x 2.5 x h

375 = 37.5 x h

Divide both sides of the equation by 37.5

375/37.5 = (37.5 x h)/37.5

10 = h

Hence, the height of the form is 10 inches.

6 0

2 years ago

Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand

victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ $P(A)=\frac{30}{100}=0.3$

Preference of Brand B =70% ⇒ $P(B)=\frac{70}{100}=0.7$

Prefer Brand A and are Female = 20% ⇒ $P(A/F)=\frac{20}{100}=0.2$

Prefer Brand B and are Female = 40% ⇒ $P(B/F)=\frac{40}{100}=0.4$

To find : Selected consumer is female, given that the person prefers Brand A $P(F/A)$

Solution : Using Bayes' theorem, which state that

$P(A/B)=\frac{P(B/A)P(A)}{P(B)}$

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

$P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}$

$P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}$

$P(F/A)=\frac{0.6}{0.28+0.6}$

$P(F/A)=\frac{0.6}{0.88}$

$P(F/A)=0.68$

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0

3 years ago

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What is 8% of 200 estimated?

chubhunter [2.5K]

Answer:

Step-by-step explanation:

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2 years ago

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Line r passes through points (5, 3) and (9, 8). Line s is perpendicular to r. What is the slope of line s?

ludmilkaskok [199]

Answer: The slope of the line would be 1.25!

Step-by-step explanation: I'll provide a screenshot of the graph I have made in a second! (:

6 0

2 years ago