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2 years ago

It rained 3 out of 7 days. How many days might it rain in 35 days?

Mathematics

1 answer:

Bess [88]2 years ago

3 0

Answer:

15 days

Step-by-step explanation:

35 divided by 7 equal 5

5 times 3 equal 15

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I need this answer asap please helppppp

trasher [3.6K]

Answer:

S^2 = r^2 + t^2

Step-by-step explanation:

Also you can write it as:

S=sqrt( r^2 +t^2)

according to the choices you have

5 0

2 years ago

Read 2 more answers

A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample

marusya05 [52]

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.8982

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

Standard deviation of 0.55 meters.

This means that $s = 0.55$

What is the margin of error for her 99% confidence interval?

$M = T\frac{s}{\sqrt{n}}$

$M = 2.8982\frac{0.55}{\sqrt{18}}$

$M = 0.3757$

The margin of error for her confdence interval is of 0.3757.

7 0

2 years ago

Given m|n, find the value of x and y.

galben [10]

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

5 0

2 years ago

Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

2 years ago

Simplify the expression: Show your work. Write the answer in standard form (15 +6d - d²) + (-5d² - 18 + 6d) PLEASE HELP

mezya [45]

Answer:

-6d^2 + 12d - 3

Step-by-step explanation:

use PEMDAS

parentheses

exponents

multiplication

division

addition

subtraction

use that order to solve problems like that.

6 0

3 years ago