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Charra [1.4K]
2 years ago
11

Vijay missed 12 out of his last 16 free throws. Considering this data, how many of his next 20 free-throw attempts would you exp

ect Vijay to miss?
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
5 0

The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.

<h3>How to solve the fraction?</h3>

From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:

= 12/16

= 3/4

Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:

= 3/4 × 20

= 15

Learn more about fractions on:

brainly.com/question/78672

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The answer to your question is b.
8 0
3 years ago
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find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis​
stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2.  Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3.  Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5.  The y-intercept is (0, 5).

Next we find the x-intercept.  We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0).  This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5).  Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."​

3 0
2 years ago
Almira earns $50 an hour. How much does she earn in 6 hours. Write a function notation for this situation
spayn [35]
Hey there,
1 hours = $ 50 
6 hours = $ 50 x 6
             = $300

Hope this helps :))

<em>~Top♥</em>
5 0
3 years ago
IN (3)
svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

m=2

The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

We have:

y - 17 =2(x - 6)

y - 17 =2x - 12

Make y the subject

y  =2x - 12+17

y  =2x +5

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

8 0
2 years ago
Solve number problem 8
butalik [34]

Two consecutive odd integers have a difference of 2. If you let the smaller one of them be x, the other one is x + 2.

Their sum is -36, so add x and x + 2, and set equal to -36. Then solve for x to find the smaller one. Finally, 2 more than x is the greater of the two integers.

x + x + 2 = -36

2x + 2 = -36

2x = -38

x = -19

The smaller one of the two integers is -19.

x + 2 = -19 + 2 = -17

The greater of the two integers is -17.

Answer: The integers are -19 and -17.

4 0
3 years ago
Read 2 more answers
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