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Yuri [45]
3 years ago
13

Shari has 1 ½ gallons of orange juice. She wants to serve the orange juice equally to 12 of her friends. How many ounces of juic

e will each of her friends receive?
Mathematics
1 answer:
kotykmax [81]3 years ago
7 0

Answer:

16 ounces each

Step-by-step explanation:

1 gallon equals 128 ounces so 1.5 gallons would be 192 ounces.  Divide 192 by 12 and you'll get 16.

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Amy is driving at a constant speed of 25 miles per hour to the grocery
Kisachek [45]

Answer:

A

Step-by-step explanation:

I hope this was helpful, if you want the work then let me know.

3 0
3 years ago
Evaluate the expression (25^-3/2)^1/3
Brilliant_brown [7]

Answer:

1/5

Step-by-step explanation:

To avoid ambiguity, your negative exponent -3/2 should be enclosed in brackets or parentheses, as should your exponent 1/3:

( 25^[-3/2] )^ (1/3)

This is equivalent to:

(√25)^(-3)· (1/3), or

5^(-1), or 1/5.

8 0
3 years ago
Read 2 more answers
In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was poste
Alexus [3.1K]

Answer:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, <em>α</em> = 0.05.

The hypothesis can be defined as follows:  

<em>H</em>₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. <em>p</em> = 0.50.  

<em>Hₐ</em>: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. <em>p</em> > 0.50.  

The information provided is:

n = 510\\\hat p=0.53

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

    =\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35

The test statistic value is 1.35.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 p-value=P(Z>1.35)

                 =1-P(Z

<em>p</em>-value = 0.088 > <em>α</em> = 0.05.

The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

7 0
3 years ago
the equation below shows the total volume (v), in cubic units, of 2 identical boxes with each side equal to s units: v = 2s3 if
Assoli18 [71]
V = 2s^3
v = 2(3.5)^3 = 2(42.875) = 85.75 cubic units
7 0
3 years ago
One leg of a right triangle has a length of 55 m. the other sides have lengths that are consecutive integers. find these lengths
noname [10]

First let us assign the variables for the two lengths:

x = 1st integer

x + 1 = 2nd consecutive integer = the hypotenuse of the right triangle

The 2nd consecutive integer should be the hypotenuse since its value should be highest among the three sides.

 

Now using the hypotenuse formula we calculate for x:

(x + 1)^2 = 5^2 + x^2

x^2 + 2x + 1 = 25 + x^2

2x + 1 = 25

2x = 24

x = 12 m

 

So other integer is

 x + 1 = 13 m

 

Therefore the other sides are 12 m and 13 m.

4 0
3 years ago
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