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FromTheMoon [43]

3 years ago

15

Which integer represents 19°F bellow

1 answer:

Cloud [144]3 years ago

4 0

<h3>Answer: -19</h3>

Draw out a vertical number line. Positive values are above 0, and negative values are below zero.

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BAC ~ DEC<br><br>x = ___ units

sergey [27]

Given:

$\Delta BAC\sim \Delta DEC$

To find:

The value of x.

Solution:

We have,

$\Delta BAC\sim \Delta DEC$

The corresponding parts of similar triangles are proportional.

$\dfrac{AB}{ED}=\dfrac{AC}{EC}$

On substituting the values, we get

$\dfrac{24}{56}=\dfrac{2x}{3x+5}$

$\dfrac{3}{7}=\dfrac{2x}{3x+5}$

$3(3x+5)=2x(7)$

$9x+15=14x$

Subtract $9x$ from both sides.

$15=14x-9x$

$15=5x$

$\dfrac{15}{5}=x$

$3=x$

Therefore, the value of x is 3 units.

4 0

3 years ago

Find the Correlation of the following two variables X: 2, 3, 5, 6 Y: 1, 2, 4, 5

Karolina [17]

Answer:

The correlation of X and Y is 1.006

Step-by-step explanation:

Given

X: 2, 3, 5, 6

Y: 1, 2, 4, 5

n = 4

Required

Determine the correlation of x and y

Start by calculating the mean of x and y

<em>For x</em>

$M_x = \frac{\sum x}{n}$

$M_x = \frac{2 + 3+5+6}{4}$

$M_x = \frac{16}{4}$

$M_x = 4$

<em>For y</em>

$M_y = \frac{\sum y}{n}$

$M_y = \frac{1+2+4+5}{4}$

$M_y = \frac{12}{4}$

$M_y = 3$

Next, we determine the standard deviation of both

$S = \sqrt{\frac{\sum (x - Mean)^2}{n - 1}}$

For x

$S_x = \sqrt{\frac{\sum (x_i - Mx)^2}{n -1}}$

$S_x = \sqrt{\frac{(2-4)^2 + (3-4)^2 + (5-4)^2 + (6-4)^2}{4 - 1}}$

$S_x = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}$

$S_x = \sqrt{\frac{4 + 1 + 1 + 4}{3}}$

$S_x = \sqrt{\frac{10}{3}}$

$S_x = \sqrt{3.33}$

$S_x = 1.82$

For y

$S_y = \sqrt{\frac{\sum (y_i - My)^2}{n - 1}}$

$S_y = \sqrt{\frac{(1-3)^2 + (2-3)^2 + (4-3)^2 + (5-3)^2}{4 - 1}}$

$S_y = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}$

$S_y = \sqrt{\frac{4 + 1 + 1 + 4}{3}}$

$S_y = \sqrt{\frac{10}{3}}$

$S_y = \sqrt{3.33}$

$S_y = 1.82$

Find the N pairs as $(x-M_x)*(y-M_y)$

$(2 - 4)(1 - 3) = (-2)(-2) = 4$

$(3 - 4)(2 - 3) = (-1)(-1) = 1$

$(5 - 4)(4 - 3) = (1)(1) = 1$

$(6-4)(5-3) = (2)(2) = 4$

Add up these results;

$N = 4 + 1 + 1 + 4$

$N = 10$

Next; Evaluate the following

$\frac{N}{S_x * S_y} * \frac{1}{n-1}$

$\frac{10}{1.82* 1.82} * \frac{1}{4-1}$

$\frac{10}{3.3124} * \frac{1}{3}$

$\frac{10}{9.9372}$

$1.006$

<em>Hence, The correlation of X and Y is 1.006</em>

4 0

4 years ago

What is the negative square root of <br> 25<br> 100<br> ?

Anna11 [10]

Negative square root of 25 is -5
Negative square root of 100 is -10

6 0

3 years ago

Read 2 more answers

Please help I will mark BRAINLIEST

Grace [21]

Here,

$1 \: batch \: requires \: 3 \frac{1}{2 } = 3.5 \: jars \: of \: pasta \: \\ sauce. \\ so \: 4 \frac{1}{2} = 4.5 \: batches \: requires \: 3.5 \times 4.5 \\ = 15.75 \: jars \: of \: \: pasta \: sauce.$

7 0

4 years ago

a car salesman has 7 used cars for sale. They have a mean price of $8000. What is the total price of all 7 cars?

Pie

Answer:

$155282862040271282939285047182828282828

7 0

3 years ago