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3 years ago

2.) I am a two-digit number that can be referred to as a perfect square. The sum of my two digits is 10. What number am I?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

Answer: 64

Step-by-step explanation:

By definition, a perfect square is the square of a whole number.

The information given in the problem that you must keep on mind is:

- The number has two digits.

- The number is a perfect square ( Is obtained by squaring a whole number).

- The sum of its two digits is 10.

The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:

$6+4=10$

The number 64 can be written as:

$64=8*8=8^2$

Then, it is perfect square.

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3 years ago

Sara has $150 in her savings account. The amount in her account increases by %6 every year. If she does not put more money into

strojnjashka [21]

Answer:

$159

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the balance in the saving account

x is the number of years

a is the initial amount

r is the percent rate of change

we have

$a=\$150\\r=6\%=6/100=0.06$

substitute

$y=150(1+0.06)^x$

$y=150(1.06)^x$

For x= 1 year

substitute

$y=150(1.06)^1=\$159$

3 0

4 years ago

A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis

VMariaS [17]

Answer:

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=320128$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=50324$ represent the population standard deviation

n=529 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

8 0

3 years ago

find the value of n in each equation. write what n represents in the related division problem 643=4×160+n

schepotkina [342]

Answer: n = 3; n represents a remainder in a division problem.

Explanation:

1) Finding n:

i) Given: 643 = 4 × 160 + n

ii) Do the operations: 643 = 640 + n

iii) Subraction property of the equality: 643 - 640 = n

iv) Do the operations: 3 = n

Answer: n 3

2) Meaning of n

When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.

This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).

3 0

3 years ago

Can you figure this out? And then show your work plz?

Salsk061 [2.6K]

Step-by-step explanation:

You can use PEMDAS to solve this problem from left to right.

First, do 15 ÷ 3 to get 5.

Next, do 2 x 10 to get 20.

Lastly, add 5 and 20 to get 25.

15 ÷ 3 + 2 x 10

5 + 2 x 10

5 + 20

3 0

3 years ago

Read 2 more answers