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3 years ago

Simplify. 12 + 15 : 3x6 - 4

Mathematics

1 answer:

Pavel [41]3 years ago

6 0

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4

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1/2 of the children at a party like chocolate ice cream, 2/3 like vanilla ice cream, and 1/3 like chocolate and vanilla. What fr

alexandr402 [8]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

We have been given that 1/2 of the children at a party like chocolate ice cream, 2/3 like vanilla ice cream, and 1/3 like chocolate and vanilla.

To find the fraction of children, who like vanilla also like chocolate, We will divide the fraction of children who like chocolate and vanilla by the fraction of children who like vanilla.

$\text{Fraction of those who like vanilla also like chocolate}=\frac{\frac{1}{3}}{\frac{2}{3}}$

Since we know that dividing a fraction by another fraction is same as multiplying the first fraction by the reciprocal of second fraction.

$\text{Fraction of those who like vanilla also like chocolate}=\frac{1}{3}\times\frac{3}{2}$

After cancelling out 3 from numerator and denominator of our fraction, we will get,

$\text{Fraction of those who like vanilla also like chocolate}=\frac{1}{2}$

Therefore, the fraction of those who like vanilla also like chocolate is $\frac{1}{2}$ .

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3 years ago

Read 2 more answers

Express the fraction in the simplest form 36/63.

enyata [817]

The answer is 4/7. Hope I was able to help

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3 years ago

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Mr. Gold had 4 times more cars than motorcycles in his garage. After he bought 4 more cars and sold 4 motorcycles, there were 8

fenix001 [56]

Answer: 36 cars and 9 motorcycles

Step-by-step explanation:

It's given that he has x motorcycles to 4x cars
After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
Once you solve you get 36 cars and 9 motorcycles

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4 years ago

What is one subtraction expression that equals 180

storchak [24]

Answer:

200-20=180

Step-by-step explanation:

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3 years ago

An automobile manufacturer claims that its van has a 39.0 miles/gallon (MPG) rating. An independent testing firm has been contra

Nikolay [14]

Answer:

(1) H0: The mean MPG rating of the vans is 38.8

H1: The mean MPG rating of the vans is not 38.8

(2) The significance level is 2%

(3) The test statistic is -1

(4) The test is two tailed

(5) Fail to reject H0. The mean MPG rating of the vans is 38.8

Step-by-step explanation:

(1) A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing.

An alternate hypothesis is also a statement from the population parameter that negates the null hypothesis and is accepted if the null hypothesis is rejected.

(2) The level of significance is 0.02 (2%)

(3) Z = (sample mean - population mean) ÷ sd/√n

sample mean = 38.8, population mean = 39, sd = 2.2, n = 120

Z = (38.8 - 39) ÷ 2.2/√120 = -0.2 ÷ 0.2 = -1

(4) A two tailed test is identified by the inequality not equal to.

(5) P-value = 1 - cumulative area of the test statistic = 1 - 0.8413 = 0.1587

(6) Fail to reject H0 because the P-value (0.1587) is greater than the significance level (0.02).

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3 years ago