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kykrilka [37]
3 years ago
10

(25ab^3)^1/3 divided by (ab)^-1/2

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0
First, work on the denominator.
A negative exponent in the denominator is tehe same as a positive exponent in the numerator.
For example

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A credit card company charges 18% simple interest for overdue accounts. How much interest will Kristen owe three months from now
Ber [7]

Answer: The amount that Kristen would owe three months from now is $67.5

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or the current balance.

R represents interest rate

T represents the duration for which the account is overdue in years.

From the information given,

P = 1500

R = 18%

T = 3 months = 3/12 = 0.25 year

I = (1500 × 18 × 0.25)/100 = $67.5

4 0
3 years ago
A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the
Pavel [41]

Answer:

98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

             P.Q. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample average age = 25 years

            \sigma = population standard deviation = 1.8 years

            n = sample of students = 36

            \mu = population average age

So, 98% confidence interval for the average age, \mu is ;

P(-2.3263 < N(0,1) < 2.3263) = 0.98

P(-2.3263 < \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < 2.3263) = 0.98

P( -2.3263 \times {\frac{\sigma}{\sqrt{n} } < {\bar X - \mu} < 2.3263 \times {\frac{\sigma}{\sqrt{n} } ) = 0.98

P( \bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} } < \mu < \bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} } ) = 0.98

98% confidence interval for \mu = [ \bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} } , \bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} } ]

                                                  = [ 25 - 2.3263 \times {\frac{1.8}{\sqrt{36} } , 25 + 2.3263 \times {\frac{1.8}{\sqrt{36} } ]

                                                  = [24.302 , 25.698]

Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

8 0
3 years ago
Based on the circle graph how many pounds of milk and eggs does the average American consume each year PLS EXPLAIN FOR BRAINLEST
Gnoma [55]

Answer:

H.  552

Step-by-step explanation:

Circle graph information:

  • Milk and eggs = x%
  • Fruits and vegetables = 38%
  • Cereals = 10%
  • Meat and fish = 10%
  • Sugar = 8%
  • Fats and oils = 4%

Total consumption = 1840 pounds per person

First, calculate the percentage of milk and eggs (the value of x).

Total percentages = 100%

⇒ x + 38 + 10 + 10 + 8 + 4 = 100

⇒ x + 70 = 100

⇒ x = 30

Therefore, 30% of food consumption is milk and eggs.

To calculate the number of pounds of milk and eggs the average American consumes each year, simply find 30% of the total consumption:

= 30% of 1840

= 30% × 1840

=\sf \dfrac{30}{100} \times 1840

= 552

Therefore, the average American consumes 552 pounds of milk and eggs each year.

5 0
2 years ago
Read 2 more answers
Please can u help me
Andreas93 [3]

Step-by-step explanation:

multiply length, width, and height

6x4x6 and 7x4x6

First line: <u>144cm</u>

Second line: <u>168cm</u>

and those are the answers

4 0
2 years ago
Read 2 more answers
Yay! tysm guys for helping me on this test! i got a 85! :)
irakobra [83]

Answer:

Proud of you!! <3 :)

Step-by-step explanation:

8 0
2 years ago
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