3. Bob wrote 0.125 as a fraction. He wrote it as 48. Is Bob correct? Why or why
not?


Answer:

A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.

Step-by-step explanation:

There are 18 servings of cereal in the box.

To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.

Given:

Serving size: 2/3 cup

Total cups in the box: 12 cups

To find the number of servings, we divide the total cups by the serving size:

12 cups ÷ (2/3 cup)

= 12 cups × (3/2)

= 36/2

= 18 servings

Therefore, there are 18 servings of cereal in the box.

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Answer:

r>12    or    r<−4

Step-by-step explanation:

Answer:

Rate of change = $25 per day

Step-by-step explanation:

Since, rate of change of the data given in the table is constant graph will be a linear graph.

Rate of change of the line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Graph passes through two points (3, 75) and (4, 100)

Rate of change = [tex]\frac{100-75}{4-3}[/tex]

                          = 25

Here rate of change defines the change in cost per day.

If I understand this right:

3/4=24

24/3=8

8*4=32

You divide the number by the numerator, and then multiply that number by the denominator.

If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18

Answer:

2: 7:10 3: 6:14

Step-by-step explanation:

There are 7 blue marbles and 10 are green

There are 6 circles and 14 hearts

Answer:

Step-by-step explanation:

3/4

Answer:

3/8

Step-by-step explanation:

first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8

Answer:

(3x+1) (x-1)

Step-by-step explanation:

.................

The factored form of 3x² - 2x - 1 is (3x + 1)(x - 1).

To factor the quadratic expression 3x² - 2x - 1, we can look for two binomials that multiply together to give the original expression.

We need to find two binomials in the form (ax + b)(cx + d) that, when multiplied, result in 3x² - 2x - 1.

To factor this expression, we need to find two numbers that multiply to give 3 (the coefficient of x² term) and add up to -2 (the coefficient of the x term).

By trial and error or using factoring techniques, we find that the factors are (3x + 1) and (x - 1).

Therefore, the factored form of 3x² - 2x - 1 is:

(3x + 1)(x - 1).

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Answer:

68.30200

Step-by-step explanation:

The exact quotient of 68,302 ÷ 1000 is 68.302.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

68,302 ÷ 1000

= 68,302 / 1000

= 68.302

Thus,

The quotient is 68.302.

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Answer: 90%

Step-by-step explanation:

3/30= not working

This means that 27/30 computers are working.

To find the percentage divide each number by a number that both numbers are divisible by.

In this case both numbers can be divided by 3, and your number will now be 9/10. You can then multiply this number by 10, so your number is now 90/100 which equals 90%

Answer:

for the first question B

For the second question B C and D

Step-by-step explanation:

Fart

Answer:

6 9 4 .....digsigsigishs

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

Answer:

im sry i need hte points

Step-by-step explanation:

Answer:

I believe its £18.30. If not sorry.

Step-by-step explanation:

Answer:

250

volume=density/mass

Answer:

0.89 = 89

0.54 = 54

0.76 = 76

0.33 = 33

0 . 53 = 53

.0.12 = 12

Answer:I believe its b

Step-by-step explanation:

Answer:

where is the rest of the question, how much was each calculator?

Answer:

im am Santiago i am from Brazil, i live in a favela, i play soccer in the jungle and the beach with the monkeys, i speak brazilian.

Step-by-step explanation:

Answer:

y=1

x=2

(2,1)

Step-by-step explanation:

x=2y

2x+5y=9​

2(2y)+5y=9

4y+5y=9

9y=9

y=1

x=2(1)

x=2

(2,1)

Answer:

17 hours

take $192 and divide it by 12 so you know how much they make per hour

$192 / 12 = 16

then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)

$272 / 16 = 17

Answer:

35 v 3 ? − 21 v 2 ? − 5 v 3 − 28 v ? + 13 v 2 − 2 v − 8

Answer:

It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )

Step-by-step explanation:

Test using  α = 0.5 to determine whether the median number of part-time employees has increased

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

number of restaurants with exactly 18 part-time employees = 1

first step : ( state the null and alternate hypothesis )

Null hypothesis : ( H0) : median ≤ 18

Alternate hypothesis : ( Ha ) : median ≥ 18

The size of the sample ( n ) can be considered to be 8 because

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

Hence the actual hypothesis that should be tested will be :

H0 : p = 0.5

Ha : p ≠ 0.5

Next apply the binomial distribution to determine the number of + signs

= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )

determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )

P ( ≥ 7 )+ signs  = p(7) +signs  + p(8)+signs

                         = 0.0313 + 0.0039 = 0.0352

Hence the P-value = 0.0352  is < 0.05  hence we will reject the Null hypothesis ( H0 : p = 0.5 )

hence It can be concluded that the median number of part-time employees has increased

The true statement is that, the median number of part-time employees has increased

The given parameters are:

Using a 0.5 test of significance, the null and the alternate hypotheses are:

The sample size (n) is calculated using

[tex]\mathbf{n =n_1 -n_3}[/tex]

So, we have:

[tex]\mathbf{n =7 --1}[/tex]

[tex]\mathbf{n =8}[/tex]

The mean of the distribution is:

[tex]\mathbf{\bar x = np}[/tex]

This gives

[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]

[tex]\mathbf{\bar x = 4}[/tex]

Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.

This is calculated as:

[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]

Using the binomial probability table, we have:

[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]

[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]

By comparison,

When the p-value is less than the level of significance, then we will reject the Null hypothesis

Hence, it can be concluded that the median number of part-time employees has increased

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Answer: g(x) = 6*x^2 + 15

Step-by-step explanation:

Suppose that we have a function y = f(x)

A vertical stretch by a factor of K is written as:

g(x) = K*f(x).

In this case, we have f(x) = 2*x^2 + 5.

And we know that g(x) is a f(x) after a stretch by a factor of 3.

Then we get:

g(x) = 3*f(x) = 3*(2*x^2 + 5) =  3*2*x^2 + 3*5 = 6*x^2 + 15

g(x) = 6*x^2 + 15