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Vladimir79 [104]
2 years ago
7

Need help with math points and brainlest

Mathematics
1 answer:
Nitella [24]2 years ago
4 0

Answer:

Step-by-step explanation:

You might be interested in
4.6(x - 3) = -0.4x + 16.2
kolbaska11 [484]

Hey!

-----------------------------------------------

Steps To Solve:

4.6(x - 3) = -0.4x + 16.2

~Distributive property

4.6x - 13.8 = -0.4x + 16.2

~Add 0.4 to both sides

4.6x - 13.8 + 0.4= -0.4x + 16.2 + 0.4

~Simplify

5x - 13.8 = 16.2

~Add 13.8 to both sides

5x - 13.8 + 13.8 = 16.2 + 13.8

~Simplify

5x = 30

Divide 5 to both sides

5x/5 = 30/5

~Simplify

x = 6

-----------------------------------------------

Answer:

\large\boxed{x~=~6}

-----------------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
Read 2 more answers
The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly sel
garri49 [273]

Complete question:

The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly selects 45 customers and records the amount of time from the moment they stand in the back of a line until the moment the cashier scans their first item. He calculates the mean and standard deviation of this sample to be barx = 4.2 minutes and s = 2.0 minutes. If appropriate, find a 90% confidence interval for the true mean time (in minutes) that customers at this supermarket wait in a check-out line

Answer:

(3.699, 4.701)

Step-by-step explanation:

Given:

Sample size, n = 45

Sample mean, x' = 4.2

Standard deviation \sigma = 2.0

Required:

Find a 90% CI for true mean time

First find standard error using the formula:

S.E = \frac{\sigma}{\sqrt{n}}

= \frac{2}{\sqrt{45}}

= \frac{2}{6.7082}

SE = 0.298

Standard error = 0.298

Degrees of freedom, df = n - 1 = 45 - 1 = 44

To find t at 90% CI,df = 44:

Level of Significance α= 100% - 90% = 10% = 0.10

t_\alpha_/_2_, _d_f = t_0_._0_5_, _d_f_=_4_4 = 1.6802

Find margin of error using the formula:

M.E = S.E * t

M.E = 0.298 * 1.6802

M.E = 0.500938 ≈ 0.5009

Margin of error = 0.5009

Thus, 90% CI = sample mean ± Margin of error

Lower limit = 4.2 - 0.5009 = 3.699

Upper limit = 4.2 + 0.5009 = 4.7009 ≈ 4.701

Confidence Interval = (3.699, 4.701)

5 0
3 years ago
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
In 2009, a school population was 1,700. By 2017 the population had grown to 2,500. Assume the population is changing linearly. W
qaws [65]

Answer:

100

Step-by-step explanation:

The population is changing linearly. This means that the population is increasing by a particular value n every year.

From 2009 to 2017, there are 8 increases and so, the population increases by 8n.

The population increased from 1700 to 2500. Therefore, the population increase is:

2500 - 1700 = 800

This implies that:

8n = 800

=> n = 800/8 = 100

The average population growth per year is 100.

4 0
3 years ago
The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
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