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3 years ago

Find the sum. 7x + 15x =

Mathematics

2 answers:

kotegsom [21]3 years ago

7 0

Answer:

22x

Step-by-step explanation:

7x + 15x

(7 + 15)x

22x

DiKsa [7]3 years ago

3 0

22x is the answer to the question

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standar

skad [1K]

The sample standard deviation is (B) $3.16.

<h3>What is the sample standard deviation?</h3>

The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.

Therefore, the sample standard deviation is (B) $3.16.

Know more about sample standard deviation here:

brainly.com/question/475676

#SPJ4

The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

7 0

2 years ago

A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11

Alika [10]

To find the rate of change, or slope, pick two points. The slope, is change in y coordinates over change in x coordinates.
$slope = \frac{y2-y1}{x2-x1}$ .

In this case, the slope is
$\frac{-11+1}{2-0} = \frac{-10}{2} = -5$ .
Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b

Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.

Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1

4 0

3 years ago

Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual l

alukav5142 [94]

Answer:

115mm

Step-by-step explanation:

5/x = 3/69

5/x = 1/23

5*23 = x

115 = x

4 0

3 years ago

In a lottery game, a player picks six numbers from 1 to 22. If the player matches all six numbers, they win 20,000 dollars. Othe

Angelina_Jolie [31]

Answer:

Total possible number of outcomes = C(24,6) [24 choose 6]

=24!/(6!18!)

= 134596

Out of which there is only one winning combination.

Therefore we conclude:

P(win 20000)=1/134596

P(lose 1)=134595/134596

and hence the expected value is:

20000*(1/134596)+(-1)*(134595/134596)

=-114595/134596

=-0.8514 (rounded to four places after decimal)

Step-by-step explanation:

Hope this helped!

8 0

3 years ago