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34kurt
3 years ago
8

Joy needed 4/5 pint of milk for a recipe. Her friend asha said she should use 2/5 cup of milk. Joy said she should use 1 3/5 cip

s of milk. Given that 1 cup is equal to 1/2 pint, who was correct explain how you know
Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Answer:

Joy is correct

Step-by-step explanation:

we know that

1 cup=1/2 pint

step 1

Convert pint to cups

Divide 4/5 pint by 1/2 to convert to cups

so

\frac{4}{5}:\frac{1}{2}=\frac{8}{5}\ cups

step 2

Convert to mixed number

\frac{8}{5}\ cups=\frac{5}{5}+\frac{3}{5}=1\frac{3}{5}\ cups

therefore

Joy is correct

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Suppose that y varies directly with x and y 12 when x--2. What is x when y -6?
Paraphin [41]

Answer:

The ordered pair that satisfies this problem is (1, -6); x = 1 when y = -6.

Step-by-step explanation:

Please, rewrite your question as follows:

"Suppose that y varies directly with x and y = 12 when x = -2. What is x when

y = -6?"  The " = " sign must be included.

The pertinent proportional relationship is y = kx, where k is the constant of proportionality.

We must find k here.  Let y = 12 and x = -2.  Then 12 = k(-2), or k = -6.

Then the relationship is y = -6x.

Now let y = -6 and find x:      -6 = -6x, or x = 1.

The ordered pair that satisfies this problem is (1, -6)

8 0
3 years ago
Find the quotient.<br> 36s^3t-26st<br> -----------------<br> -2st<br> Enter the correct answer.
MrRa [10]

Answer:

it is makeing me do it

Step-by-step explanation:

4 0
3 years ago
In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
What is (w-4/9) (-2/3) =-4/9
Basile [38]
W=10/9 is the answer
8 0
3 years ago
What is 54% as a fraction?
densk [106]
54% = 54/100 = 27/50

Answer: 27/50

Hope it helped :)
6 0
3 years ago
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