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3 years ago

PLEASE HELP!!!

1 answer:

6 0

For this specific problem, the standard error of the mean for a sample of 70 students would be 1.3745. I am hoping that this answer has satisfied your query about and it will be able to help you, thank you and have a nice day.

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How many times larger is 8*10^6 than 2*10^2

bogdanovich [222]

The first step for solving this question is put both of your given expressions into one and then subtract them. This will look like the following:
8 × $10^{6}$ - 2 × 10²]
Now to make the calculation easier,, factor the expression.
(8 × $10^{4}$ - 2) × 10²
Evaluate the power inside the parenthesis.
(8 × 10000 - 2) × 10²
Evaluate the power outside the parenthesis.
(8 × 10000 - 2) × 100
Multiply the numbers inside the parenthesis.
(80000 - 2) × 100
Subtract the numbers in the parenthesis.
79998 × 100
Lastly,, multiply the numbers together to get your final answer.
7999800
This means that 8 × $10^{6}$ is 7999800 times larger than 2 × 10².
Let me know if you have any further questions.
:)

8 0

3 years ago

In a certain clothing store, 4 shirts and 6 ties cost $70, and 2 shirts and 4 ties cost $42. What is the cost of each tie?

Oksanka [162]

Answer:

Step-by-step explanation:

Your two equations are ...

4s +6t = 70
2s +4t = 42

Double the second equation and subtract the first:

2(2s +4t) -(4s +6t) = 2(42) -(70)

2t = 14 . . . . . simplify

t = 7 . . . . . . . divide by 2

The cost of each tie is $7.

3 0

3 years ago

The legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous

Crank

Answer:

11.31 units

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 8^2 = c^2

64 + 64 = c^2

128 = c^2

Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.

$\sqrt{128\\} \\\\$ = c

c = 11.31 units

3 0

3 years ago

Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $

kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = P $e^{rt}$ , where

A is the future value of the investment, including interest

P is the principal investment amount (the initial amount)

r is the interest rate in decimal

t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000 $e^{8r}$

→ Divide both sides by 3000

∴ $\frac{11}{6}$ = $e^{8r}$

→ Insert ㏑ in both sides

∵ ㏑( $\frac{11}{6}$ ) = ㏑( $e^{8r}$ )

→ Remember ㏑( $e^{n}$ ) = n

∴ ㏑( $\frac{11}{6}$ ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0

2 years ago

a 2-month membership to the gym cost $125 jim would like to be a member for 8 months what is the total amount he will pay for 8

Natasha2012 [34]

Answer:

500

Step-by-step explanation:

125 x 4

8 0

3 years ago