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3 years ago

The table shows the different types of shoes available at a family shoe store.

Mathematics

1 answer:

Wittaler [7]3 years ago

6 0

Answer:

about 48.6%

Step-by-step explanation:

20 women's shoes are athletic.

35 women's shoes are formal.

52 women's shoes are casual.

The total number of women's shoes is 107. So the probability that a randomly selected one is casual is:

P = 52/107

P ≈ 48.6%

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Let f be a linear function. When f x( ) is divided by x − 3, the remainder is 5. When f x( ) is divided by x − 4, the remainder

goldfiish [28.3K]

Answer:

f(0)=11

Step-by-step explanation:

f(x) is a linear function, hence it is of the form f(x)=ax+b for some constants a,b.

When we divide f(x) by x-3 the remainder is 5. Moreover, using the division algorith we have that

$f(x)=a(x-3)+(b+3a)$

hence 5=b+3a.

On the other hand, when we divide f(x) by x-4 the reminder is 3. Also, using the division algorithm, we have that

$f(x)=a(x-4)+(b+4a)$

hence 3=b+4a.

Therefore, to find f(x), we have to solve the linear sistem

$b+3a=5\\\\b+4a=3$

If we substract the first and the second equation, we get

$3a-4a=5-3 \quad \Rightarrow \quad -a = 2 \quad \Rightarrow \quad a=-2$

and using the last result we get that

$5=b+3a=b+3(-2)=b-6 \quad \Rightarrow \quad b=11$

Hence, f(x)=-2x+11, and so f(0)=11.

3 0

3 years ago

Find the slope (rate of change) for the following table

Nimfa-mama [501]

Answer:

Slope: 0.3

Step-by-step explanation:

divide 3 by 10 then you got your answer

5 0

3 years ago

What is the solution to the rational equation 1/5+3/x-5=9/20

yarga [219]

Solve for x over the real numbers:
-5 + 1/5 + 3/x = 9/20

-5 + 1/5 + 3/x = 3/x - 24/5:
3/x - 24/5 = 9/20

Bring 3/x - 24/5 together using the common denominator 5 x:
-(3 (8 x - 5))/(5 x) = 9/20

Cross multiply:
-60 (8 x - 5) = 45 x

Expand out terms of the left hand side:
300 - 480 x = 45 x

Subtract 45 x + 300 from both sides:
-525 x = -300

Divide both sides by -525:
Answer: x = 4/7

5 0

4 years ago

A part selected for testing is equally likely to have been produced on any one of six cutting tools.

JulijaS [17]

Answer:

a)S= (1,2,3,4,5,6)

b) 1/6 or 16.67%

c) 1/3 or 33.33%

d) 5/6 or 83.33%

Step-by-step explanation:

a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6

b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it

1/6 or 16.7%

c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%

d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its

1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%

8 0

3 years ago

Josh and Justin when to the farmers market. Josh purchased 11 tomatoes and 13 ears of corn, and Justin purshased 7 tomatoes and

Katyanochek1 [597]

Answer:

ABOUT 70.00

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers