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3 years ago

2. Translate the following equation into a verbal sentence. x + 5 = 2(7 + x)

Mathematics

1 answer:

Stells [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Some points to note

"is" means equal
"times" means multiplication
"quotient" means division
"sum" is addition

Now, let's look at the left side of the equation.

It is "x + 5"

This means the sum of the number x and 5, or the number x plus 5

It eliminates F and J

Now, let's look at right side of equation.

It is "2(7+x)"

"7+x" is in brackets, so this is the sum of 7 and x. Then it is multiplied by 2. Thus, we can say:

"2 times the sum of 7 and x"

From the choices G and H left, we select G to be correct.

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Step-by-step explanation:

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3 years ago

Select the correct answer. Solve

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Answer:

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Step-by-step explanation:

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3 years ago

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,

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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.

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3 years ago

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Sholpan [36]

They did not include the constraint for y ≤x+3 on the graph.

See attached picture with added constraint.

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The correct solution to maximize P is (1,4)

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3 years ago