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2 years ago

Mason used 1/6 of a gram of honey to make 1/12 of a pan of pudding. How many grams are needed to make a full pan of pudding?

1 answer:

7 0

The answer would be two grams of honey, because 1 gram of honey would make 1 half pan (because 6 is half of 12) So therefore, two grams of honey would make one pan of pudding.

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I want to read 4 books over the next month. My bookshelf has 12 different books. In how many ways can I choose which books to re

shusha [124]

Answer:

Step-by-step explanation:

You are going to choose 4 books in any order.

Four = 12! /(8!4!) Remember that order doesn't matter, so we have 12C4

495

8 0

3 years ago

The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. A random sample

oksano4ka [1.4K]

Answer:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

Step-by-step explanation:

Data given and notation

$\bar X=55.82$ represent the sample mean

$s=0.77$ represent the standard deviation for the sample

$n=49$ sample size

$\mu_o =56$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:

Null hypothesis: $\mu \geq 56$

Alternative hypothesis: $\mu < 56$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

4 0

3 years ago

The floor of the commons room at King Middle School is in the shape of a square with side lengths of x^2 y^3 feet. New tile is g

umka2103 [35]

The useful hint here is the shape of the area which is square. By definition, a square is a two-dimensional figure that consist of two parallel sides have the same equal measure. The only given dimension of a square is its side. The area is equal to the square of the side. Since the side has a measure of x²y³,

A = s² = (x²y³)²
By the laws of exponents, for this problem, just simply distribute the outer exponent to each of the inner exponent.
A = x⁴y⁶

8 0

3 years ago

Please help solve the equation: 2x + 1-x/4 = 3

azamat

Answer: 8/7

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with

ANEK [815]

Answer:

The probability that Joe will be accepted at one and only one university

P(A n B ) = 0.1

Step-by-step explanation:

Given data the acceptance rate for applicants with similar qualifications is 25% for University A

P(A) = 25% =0.25

The acceptance rate for applicants with similar qualifications is 40% for University B

P(B) = 40% =0.40

Independent events:

let E and F are said to be independent events then

P(E n F ) = P(E ) P(F)

both universities are independent

The probability that Joe will be accepted at one and only one university

P(A n B ) = P(A) P(B) = 0.25 X 0.40 = 0.1

7 0

3 years ago