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2 years ago

9

In a cookie jar, 1/4 of the cookies are chocolate chip and 1/2 of the rest are peanut butter. what fraction of all the cookies a

re peanut butter?

2 answers:

schepotkina [342]2 years ago

8 0

Answer:

$\frac{3}{8}$

Step-by-step explanation:

The fraction of all the cookies is equivalent to 1.

If $\frac{1}{4}$ of the cookies are chocolate chip, then the remaining cookies is equivalent to

$1-\frac{1}{4}=\frac{3}{4}$ .

The fraction of all the cookies that are peanut butter is

$=\frac{1}{2}\times \frac{3}{4}$

$=\frac{3}{8}$

Sidana [21]2 years ago

3 0

Peanut butter are ³/₈ of all the cookies

<h3>Further explanation</h3>

Order of Operations in Mathematics follow this following rule :

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

Let :

<em>Total Number of Cookies = X</em>

<u>Given:</u>

<em>¹/₄ of the cookies are chocolate chip</em>

$\texttt{Chocolate Chip Cookies} = \frac{1}{4} \times \texttt{Total Number of Cookies}$

$\texttt{Chocolate Chip Cookies} = \frac{1}{4} \times X$

$\texttt{Chocolate Chip Cookies} = \boxed {\frac{1}{4} X}$

<em>Let's find the fraction for other cookies</em>

$\texttt{Other Cookies} = \texttt{Total Number of Cookies} - \texttt{Chocolate Chip Cookies}$

$\texttt{Other Cookies} = X - \frac{1}{4} X$

$\texttt{Other Cookies} = \frac{4}{4}X - \frac{1}{4} X$

$\texttt{Other Cookies} = \frac{4 - 1}{4}X$

$\texttt{Other Cookies} = \boxed {\frac{3}{4}X}$

<em>¹/₂ of the rest are peanut butter</em>

$\texttt{Peanut Butter Cookies} = \frac{1}{2} \times \texttt{Other Cookies}$

$\texttt{Peanut Butter Cookies} = \frac{1}{2} \times \frac{3}{4}X$

$\texttt{Peanut Butter Cookies} = \frac{1 \times 3}{2 \times 4}X$

$\texttt{Peanut Butter Cookies} = \boxed {\frac{3}{8}X}$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246

Elimination Method : brainly.com/question/11233927

Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

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Alexxandr [17]

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3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

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The value of z test statistics is 2.176.

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Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

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