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3 years ago

Value of variable. a=bh; find a when b=83 and h 35

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

1) substitute a=bh with a=(83)(35)

2) multiply 83*35=2905

3)a=2905

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Slope intercept of (1,1) and (0,7)

Sonja [21]

Answer:

$\boxed {m = -6}$

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you determine the slope of the following two points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(Where $(x_{1}, y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Apply both points onto that formula:

$(x_{1}, y_{1}) = (1, 1)$

$(x_{2}, y_{2}) = (0, 7)$

$m = \frac{7 - 1}{0 - 1}$

-Solve:

$m = \frac{7 - 1}{0 - 1}$

$m = \frac{6}{-1}$

$\boxed {m = -6}$

3 0

3 years ago

Ms. Wilson invested $34000 in two accounts, one yielding 8% interest and the other yielding 9%. If she received a total of

Digiron [165]

Answer:

Amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

Step-by-step explanation:

Total Amount = $ 34000

Let amount invested at 8 % rate = x

Amount invested at 9 % rate = $ 34000 - x

Total interest = $ 2910

$2910 = \frac{x (8) (1)}{100} + \frac{(34000-x) (9) (1)}{100}$

291000 = 8 x + 306000 - 9 x

x = 306000 - 291000

x = 15000

So amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

3 0

3 years ago

What is the value of this expression?<br><br> (−4) to the fourth power

Alex_Xolod [135]

Good afternoon/evening.

-4^4 = four to the fourth power = (-4)(-4)(-4)(-4) = 256
Remember, when a negative is multiplied by a negative it equals a positive.

4 0

3 years ago

1) A business man gives N18 000,00 to his three children

pashok25 [27]

Answer: The least share is N450000

Step-by-step explanation:

Given that :

Amount shared = N18 00000

Sharing ratio = 5:4:3

Amount shared by each child :

Total ratio = (5 + 4 + 3 )= 12

First share :

(5 / 12) × 1800000 = 750000

Second share :

(4/12) × 1800000 = 600000

Third share:

(3/12) × 1800000 = 450000

The least amount of the three shares is :

N450000

4 0

3 years ago

A test is used to assess readiness for college. In a recent year, the mean test score was 20.3 and the standard deviation was 4

Vlada [557]

Answer:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

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".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is higher tor equal to 2.

For this case we have the mean and the deviation given:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

6 0

3 years ago