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3 years ago

12% of what number is 42?

Mathematics

1 answer:

Andreyy893 years ago

3 0

Answer:

350

Step-by-step explanation:

12% = 0.12

42 / 0.12 = 350

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Solve for c. Give an exact answer. 0.2(10−5c)=5c−16

Zielflug [23.3K]

C = 3
You isolate the variable by dividing each side by factors that don’t contain the variable

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3 years ago

A random sample of 64 bags of white cheddar popcorn weighed, on average, 5.23 ounces with a standard deviation of 0.24 ounce.

emmasim [6.3K]

Answer:

We conclude that cheddar popcorn weighed less than 5.5 ounces.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =5.5 ounces

Sample mean, $\bar{x}$ = 5.23 ounces

Sample size, n = 64

Alpha, α = 0.05

Sample standard deviation, σ = 0.24 ounce.

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5.5\text{ ounces}\\H_A: \mu < 5.5\text{ ounces}$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{5.23 - 5.5}{\frac{0.24}{\sqrt{64}} } = -9$

Now, $z_{critical} \text{ at 0.05 level of significance } =-1.645$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.

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3 years ago

Is 2.889 a rational number

OlgaM077 [116]

2.889 is not a rational number because it is a largest number

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3 years ago

Find the slope and reduce of p=(3/4,1 1/4) q=(-1/2,-1)

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$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
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q&({{ -\frac{1}{2}}}\quad ,&{{ -1}})
\end{array}$

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-\frac{1}{4}}{-\frac{1}{2}-\frac{3}{4}}\quad \cfrac{\leftarrow LCD=4}{\leftarrow LCD=4}
\\\\\\
\cfrac{\frac{-4-1}{4}}{\frac{-2\cdot 1-3}{4}}\implies \cfrac{\frac{-5}{4}}{\frac{-5}{4}}\implies \cfrac{-5}{4}\cdot \cfrac{4}{-5}\implies 1$

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3 years ago

What do you say about the proposition "4 divides n" compared to the proposition "2 divides n"?

likoan [24]

Answer:

добре звучи добре

Step-by-step explanation:

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2 years ago