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4 years ago

IM 7.1.10 Cool Down

Mathematics

1 answer:

Liono4ka [1.6K]4 years ago

4 0

Answer:

Calculating the Actual Distance using the Scale

If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.

Step-by-step explanation:

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Solve using the quadratic<br> 02 + 3r +3= 0<br> Asnwer

Katyanochek1 [597]

Answer:

r= -5/3

Step-by-step explanation:

:Simplify both sides of the equation.

2+3r+3=0

(3r)+(2+3)=0(Combine Like Terms)

3r+5=0

Step 2: Subtract 5 from both sides.

3r+5−5=0−5

3r=−5

Step 3: Divide both sides by 3.

−5

6 0

3 years ago

I think it’s 14? Is that right or no?

Rudiy27

Answer:

Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!

Step-by-step explanation:

6 0

3 years ago

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? 4x + 3 (is presented

ELEN [110]

Ans: The correct Option is (B) 16x^2 + 24x + 9

Explanation:

Since,

Area = $y^2$

Where
y = 4x+3

So
Area = $(4x+3)^2$
Area = 16x^2 + 24x + 9

7 0

3 years ago

The second of two number is 5 times first. Their sum is 42 . Find both numbers

Harman [31]

Hey there!

To start, first let the variable, x, represent your first unknown number. Now, because the second number is 5 times the first, this will be represented as 5x (you simply multiply 5 to your variable of the first number, x).

Now, since the sum of the two numbers are 42, you can represent this by setting up this equation:
5x+x=42

Combine your like terms (terms of the same variable and are raised to the same power):
5x+x=42
6x=42

Divide both sides by 6 to solve for x:
6x/6=42/6
x=7

Because x represents the first number, your first number would be 7.

Now, since the second number is 5 times the first, you can find the second number by multiplying x by 5:
x=7
7*5=35

Your second number is 35.

To check if both numbers are correct, you can add your first number, 7 to your second number, 35, to see if you get 42 since you know their sum must be 42:
7+35=42

Therefore, your final answer would be that the first number is 7, and the second number is 35.

Hope this helps, and have a marvelous day! :)

7 0

3 years ago

Read 2 more answers

The average zinc concentration recovered from a sample of measurements taken in 36 different locations in a river is found to be

vazorg [7]

Answer:

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Step-by-step explanation:

95% confidence interval:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.96\frac{2.6}{\sqrt{36}}$

$M = 0.85$

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

99% confidence level:

By the same logic as for the 95% confidence interval, we have that $Z = 2.575$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 2.575\frac{2.6}{\sqrt{36}}$

$M = 1.12$

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

5 0

3 years ago