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salantis [7]
9 months ago
14

3/4 teaspoon water in each gallon. how much in 5 gallons

Mathematics
1 answer:
Vikentia [17]9 months ago
4 0

We can solve this problem by applying the rule of three:

\begin{gathered} \frac{3}{4}\text{ ------------ 1 gallon} \\ x\text{ ------------ 5 gallons} \end{gathered}

then, x is given by

x=\frac{(\frac{3}{4})(5)}{1}

which gives

\begin{gathered} x=(\frac{3}{4})(5) \\ x=\frac{15}{4} \end{gathered}

that is, Pedro will mix 15/4 teaspoons on 5 gallons.

If we convert this result into a mixed fraction form, we obtain

\frac{15}{4}=3\frac{3}{4}

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Pedro buys 4 books at the fair for $7 each. Pedro hands the cashier 3 ten dollar bills. how much change would he receive? write
garik1379 [7]
4 x 7 = 28 - 30 = -2. His change is 2 dollars.
8 0
3 years ago
Becky has a board that is 2 and 3/4 feet long. She needs to cut the board into 11 pieces of equal length. How long should each p
zzz [600]

Answer:

1/4 feet long should each pieces be.

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1 such as 3 miles per second or 4 km per hour

As per the statement: Becky has a board that is 2 and 3/4 feet long.

⇒ Length of a board = 2\frac{3}{4} =\frac{11}{4} feet

Also, she need to cut the board into 11 pieces.

by unit rate definition:

\text{Unit rate per pieces} = \frac{\frac{11}{4} }{11}

or

\text{Unit rate per pieces} = \frac{11}{4} \times \frac{1}{11} = \frac{1}{4}

Therefore, 1/4 feet long should each pieces be.




4 0
2 years ago
Suppose you have the following information. 12% of all drivers do not have a valid driver’s license, 6% of all drivers have no i
lubasha [3.4K]

Answer:

e) 0.14

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a driver does not have a valid driver's license.

B is the probability that a driver does not have insurance.

We have that:

A = a + (A \cap B)

In which a is the probability that a driver does not have a valid driver's license but has insurance and A \cap B is the probability that a driver does not have any of these things.

By the same logic, we have that:

B = b + (A \cap B)

We start finding these values from the intersection.

4% have neither

This means that (A \cap B) = 0.04

6% of all drivers have no insurance

This means that B = 0.06. So

B = b + (A \cap B)

0.06 = b + 0.04

b = 0.02

12% of all drivers do not have a valid driver’s license

This means that A = 0.12

So

A = a + (A \cap B)

0.12 = a + 0.04

a = 0.08

The probability that a randomly selected driver either fails to have a valid license or fails to have insurance is about

P = a + b + (A \cap B) = 0.08 + 0.02 + 0.04 = 0.14

So the correct answer is:

e) 0.14

8 0
2 years ago
Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time f
alexandr1967 [171]

Answer:

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

-1. 34

0.1837

Step-by-step explanation:

Full time :

n1 = 125

x1 = 2.7386

s1 = 0.65342

Part time :

n2 = 88

x2 = 2.8439

s2 = 0.49241

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Test statistic :

The test statistic :

(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]

(2.7386 - 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]

−0.1053 / sqrt(0.0034156615712 + 0.0027553)

-0.1053 /0.0785554

= - 1.34

Test statistic = - 1.34

The Pvalue :

Using df = smaller n - 1 = 88 - 1 = 87

Pvalue from test statistic score ;

Pvalue = 0.1837

Pvalue > α ; We fail to reject the null and conclude that the GPA does not differ.

At α = 0.01 ; the result is insignificant

6 0
2 years ago
Can someone help me on d please?
Jobisdone [24]
Sorry i need a table full i cant see

6 0
3 years ago
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