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katrin2010 [14]

2 years ago

5

Find the greatest common factor of 14 and 33.

2 answers:

Vera_Pavlovna [14]2 years ago

6 0

Answer: 1

Step-by-step explanation: GCF is what largest number can go into both. They do not share any other number (:

Paraphin [41]2 years ago

3 0

Answer:

1

Step-by-step explanation:

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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

Which inequality best represents the domain of the fucntion shown on the graph

GaryK [48]

The domain is the corresponding value of x

so, as shown at the graph :

The line starts at x =

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10 months ago

Please Solve for x<br> Log15 1 =x

Fiesta28 [93]

$\bold{\log_{15} (1) = x}\\\\
\bold{\Longrightarrow~~~15^x = 1}\\\\
\Longrightarrow~~~\boxed{\bold{x = 0}}$

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2 years ago

Please I need this question fast

Mrrafil [7]

We have a linear function $\displaystyle\bf y=\underbrace{k}_{gradient}x+b$ and we know that $\displaystyle\bf \left \{ {{-2\cdot-3+b=2} \atop {-4\cdot -2+b=k}} \right. => \left \{ {{b=-4} \atop {b+8=k} \right. => k=8-4=4 \\\\Answer: \boxed{B) \quad k=4}$

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2 years ago

What percent of our world is made of Hydrogen and Helium?

Romashka [77]

Hydrogen is around 0.000053% and Helium is around <span>0.000524%</span>

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3 years ago