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saw5 [17]
3 years ago
15

What is the graph of the function rule y = 5 - 2x

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

See attached graph.

Step-by-step explanation:

To graph the function in slope intercept form, identify the slope and y-intercept. The form is y=mx +b where m is the slope and b is the y-intercept. This means m = -2 and b = 5.

Start on the y-axis and plot a point at (0,5). Then from this point move down two units and to the right 1 unit. Plot this point. Connect the two points.

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4. Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean
Karo-lina-s [1.5K]

Answer:

Yes, Tom must be admitted to this university.

Step-by-step explanation:

We are given that the scores on national test are normally distributed with a mean of 500 and a standard deviation of 100.

Also, we are provided with the condition that Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test.

Let, X = score in national test, so X ~ N(\mu=500 , \sigma^{2} = 100^{2})

The standard normal z distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Now, z score of probability that tom scores 585 is;

             Z = \frac{585-500}{100} = 0.85

Now, proportion of students scoring below 85% marks is given by;

P(Z < 0.85) = 0.80234

This shows that Tom scored 80.23% of the students who took test while he just have to score more than 70%.

So, it means that Tom must be admitted to this university.

                                                  

4 0
4 years ago
Princess peach has a cell phone plan that charges $50 a month and $0.12 for every minute that she uses the phone beyond what her
kumpel [21]

she was 111 minutes over what her plan allowed.

3 0
4 years ago
The volume of the above cylinder is 21m find the radius of the circular end
german

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

4 0
3 years ago
PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason
nata0808 [166]

Answer:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

Step-by-step explanation:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

8 0
3 years ago
❗❗100points❗❗
kotykmax [81]

Answer:

Answer: Sample Response: The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.

Step-by-step explanation:

6 0
3 years ago
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