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4 years ago

Jeremy uses 6 pieces of rectangular

Mathematics

1 answer:

gogolik [260]4 years ago

5 0

Answer:1000cm

Step-by-step explanation:

Volume=length ×width×height

Each side is 10

10×10×10=1000

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g Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 21, upper

nata0808 [166]

Answer: The point estimate of the population mean is 23. The margin of error for the confidence interval is 2.

Step-by-step explanation:

The confidence interval for the mean is of the form is given by :-

$\overline{x}-\text{error}\leq\mu\leq\overline{x}+\text{error}$

Given : Lower bound: $\overline{x}-\text{error}=21$

Upper bound : $\overline{x}+\text{error}= 25$

Then ,the sum of lower and upper bound will be :-

$2\overline{x}=21+25=46\\\\\Rightarrow\ \overline{x}=23$

Since $\overline{x}-\text{error}=21$

$\Rightarrow\ \text{Error}=\overline{x}-21=23-21=2$

Hence, The point estimate of the population mean is 23. The margin of error for the confidence interval is 2.

4 0

4 years ago

suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?

viktelen [127]

Answer:

$\boxed {\boxed {\sf \$9,534.37}}$

Step-by-step explanation:

The formula for continuously compounded is:

$A=Pe^{rt}$

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.

The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.

1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015

Now we know all the values and can substitute them into the formula.

$P= 7500 \\r= 0.015 \\t= 16$

$A= 7500(e^{0.015*16})$

Solve the multiplication in the exponent first.

$A= 7500(e^{24})$

Solve the exponent.

$A= 7500 (1.27124915)$

$A=9534.368627$

Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

$A=9534.37$

The account balance will be $9,534.37 after 16 years.

7 0

3 years ago

I really need help with this. Thank you!!

Dvinal [7]

Answer:

B. 16.7

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relationship between the side adjacent to the angle and the hypotenuse involves the cosine function:

Cos = Adjacent/Hypotenuse

Filling in the numbers from your diagram gives ...

cos(50°) = x/26

Multiplying by 26 gives x.

x = 26·cos(50°)

x ≈ 16.7

5 0

3 years ago

When I triple my number and add five i get 26. what is my number?

pentagon [3]

$x- number\\\\
triple\ number:\ \ 3x\\\\
3x+5=26\ \ |-5\\\\
3x=26-5\\\\
3x=21\ \ |:3\\\\ x=7\\\\Number\ is\ equal\ to\ 7.$

8 0

3 years ago

suppose that n is a positive integer written in base 10. prove that n is divisible by 3 if and only if the sum of its decimal di

Goshia [24]

Modulo - The result of multiplying the original number by three and the result of multiplying the digits by three must be the same.

What is modulo?

In mathematics, the phrase modulo, which literally means "with respect to a modulus of," is frequently used to claim that two different mathematical objects can be regarded as comparable if their difference is explained by a third component.

Using the Fermat's little theorem:

$x^n-1 =(x-1)(x^{n-1}+x^{n-2}+....+x+1)$

when x=10. You may easily establish the identity by multiplying it term by word. All terms cancel, excluding the first and last ones. Therefore, any power of ten minus one is divisible by nine, and consequently, by three

Now consider a multi-digit natural number, 43617 for example.

$43617= 4*10^4+3*10^3+6*10^2+1*10+7$

$= 4*9999+3*999+6*99+1*9+(4+3+6+1+7)$

Other than the sum of the digits, every term on the right is divisible by 3. The result of multiplying the original number by three and the result of multiplying the digits by three must be the same.

to learn more about exponents and power visit:

brainly.com/question/19120853

#SPJ4

5 0

2 years ago