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Kamila [148]
4 years ago
5

Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of the juice to Mags.How much is left in L

una’s glass?

Mathematics
2 answers:
andrezito [222]4 years ago
8 0
First of all, how much juice is there?

\frac{3}{4} \: cup \: = \frac{6}{8}

So, \frac{6}{8} + \frac{3}{8} = \frac{9}{8}

Then, \frac{9}{8} - \frac{5}{8} = \frac{4}{8}

Therefore, \frac{4}{8} of juice is left in Luna's glass.

Hope this helps!!! ;)
Vera_Pavlovna [14]4 years ago
8 0
4/8 is left in her glass.

Step 1–find the common denominator (which is 8)

Step 2–multiply 3/4 times 2 which will give you 6/8

Step 3– Add 6/8 and 3/8 which will give you an improper fraction of 9/8

Step 4–Subtract 5/8 from 9/8

Therefore your answer is 4/8
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3 years ago
To estimate the mean height μ of male students on your campus, you will measure an SRS of students. You know from government dat
denis-greek [22]

Answer:

a) The standard deviation of x must be 0.25 inches.

b) We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

Step-by-step explanation:

The 68-95-99.7 states that:

68% percent of the measures of a normally distributed sample are within 1 standard deviation of the mean.

95% percent of the measures of a normally distributed sample are within 2 standard deviations of the mean.

99.7% percent of the measures of a normally distributed sample are within 3 standard deviations of the mean.

The standard deviation of the population is 2.8. This means that \sigma = 2.8.

(a) What standard deviation must x⎯⎯⎯ have so that 95% of all samples give an x⎯⎯⎯ within one-half inch of μ?

We want to have a sample in which 2 standard deviations are within 0.5 inches of the mean.

So, the standard deviation of the sample must be:

2s = 0.5

s = 0.25

The standard deviation of x must be 0.25 inches.

(b) How large an SRS do you need to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a)?

We have that the standard deviation of a sample of length n is given by the following formula:

s = \frac{\sigma}{\sqrt{n}}.

We want s = 0.25 and we have \sigma = 2.8. So

0.25 = \frac{2.8}{\sqrt{n}}

0.25\sqrt{n} = 2.8

\sqrt{n} = 11.2

\sqrt{n}^{2} = (11.2)^{2}

n = 125.44

We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

8 0
4 years ago
the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Lynna [10]

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

4 0
3 years ago
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