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3 years ago

15

A company sells snack bags that contain a mixture of almonds and walnuts. There are 13 almonds per bag and 9 walnuts per bag. If

x represents the number of snack bags the company sells, which of the following equations can be used to find the total number of nuts needed to fill the snack bags? A. y = 22x B. y = 13x + 9 C. y = 9x + 13 D. y = x + 22

1 answer:

____ [38]3 years ago

6 0

There are 13 almonds and 9 walnuts per bag so that’s 13+9=22 nuts per bag.

If there are x bags then the number of nuts is 22x.

Assuming y is the total number of nuts we get y=22x

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A publisher reports that 42%42% of their readers own a particular make of car. A marketing executive wants to test the claim tha

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Answer:

$z=\frac{0.35 -0.42}{\sqrt{\frac{0.42(1-0.42)}{250}}}=-2.24$

Step-by-step explanation:

Data given and notation

n=250 represent the random sample taken

$\hat p=0.35$ estimated proportion of readers owned a particular make of car

$p_o=0.42$ is the value that we want to test

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that that the percentage is actually different from the reported percentage.:

Null hypothesis: $p=0.42$

Alternative hypothesis: $p \neq 0.42$

When we conduct a proportion test we need to use the z statistic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.35 -0.42}{\sqrt{\frac{0.42(1-0.42)}{250}}}=-2.24$

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2 years ago

Round 144 to the nearest 100.

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Answer:

100

Step-by-step explanation:

144 is below 150 so it would not be converted to 200.

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What is the Premeter of 4' square

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Answer:

16'.

Step-by-step explanation:

A square has 4 equal sides so it is 4 * 4' = 16'.

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3 years ago

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

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Answer: (a) ( $x_{2},y_{2}$ ) = (3,2)

(b) ( $x_{2},y_{2}$ ) = (19,-7)

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$x_{m}=\frac{x_{1}+x_{2}}{2}$

$y_{m}=\frac{y_{1}+y_{2}}{2}$

Isolating $x_{2}$ :

$2x_{m}=x_{1}+x_{2}$

$x_{2}=2x_{m}-x_{1}$

And $y_{2}$ :

$2y_{m}=y_{1}+y_{2}$

$y_{2}=2y_{m}-y_{1}$

(a) Replacing values and calculating $x_{2}$ :

$x_{2}=(2*2)-1$

$x_{2}=3$

Calculating $y_{2}$ :

$y_{2}=[2*(-1)]-(-4)$

$y_{2}=2$

$(x_{2},y_{2})=(3,2)$

(b) $x_{2}=(2*5)-(-9)$

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$y_{2}=(2*6)-19$

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Answer:

none

Step-by-step explanation:

8-4=4

if every 2 years, 4 gallons disappear

then every 1 year, 2 gallons disappear

meaning that by 5 years there will be no substance left.

(5*2=10)

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