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Wewaii [24]
3 years ago
12

I need some help with my math :(

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer:

all work is shown and pictured

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PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50
evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

z=\frac{X-\mu}{\sigma}

For X = $3.75, the z-score is:

z=\frac{3.75-4.50}{0.50}\\z=-1.5

For X = $5.00, the z-score is:

z=\frac{5.00-4.50}{0.50}\\z=1

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

P=84.13-6.68\\P=77.45\%

The answer is alternative B.77.4%

8 0
3 years ago
Consider f(x) = -(x+7)^2 +4. check all that apply
kirill [66]

-the equation is a quadratic

-the axis of symmetry is x=-7

-the graph has a relative maximum

5 0
3 years ago
A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
stepladder [879]

Answer:  1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀          where

  • a is the acceleration (in this case it is gravity)
  • v₀ is the initial velocity
  • h₀ is the initial height

Given:  

  • a = -9.81 (if it wasn't given in your textbook, you can look it up)
  • v₀ = 12
  • h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION:   0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

                        a=-9.81, b=12, c=3

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\

Note: Negative time (-0.2) is not valid

4 0
3 years ago
Which of the following is the equation of a line perpendicular to the line y = -10x + 1, passing through the point (5,7)?
Viktor [21]
Line 1;
y=-10x+1
Gradient m= -10
Gradient of line 2= 1/10
\frac{y-5}{x-7} = \frac{1}{10}
y-5=\frac{1}{10} {x-7}
y-5=\frac{1}{10} x- \frac{7}{10}
y=\frac{1}{10} x- \frac{43}{10}

6 0
3 years ago
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There are 38 buses in the parking lot and each bus holds 74 people how many people are able to ride the buses
Diano4ka-milaya [45]
2812 people can ride all the buses in total
4 0
3 years ago
Read 2 more answers
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