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4 years ago

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Write the expression “the sum of seven times a number and five, divided by the sum of negative two times the number and eleven”

using algebra. Choose the correct phrase below. (–2x + 11) ÷ (7x + 5) (–2x + 11) + (7x ÷ 5) (7x + 5) + (–2x ÷ 11) (7x + 5) ÷ (–2x + 11)

2 answers:

Hitman42 [59]4 years ago

7 0

Answer:

$\text{The expression is }\frac{(7x+5)}{(-2x+11)}$

Option D is correct.

Step-by-step explanation:

Given the statement

“the sum of seven times a number and five, divided by the sum of negative two times the number and eleven”

we have to choose the correct option.

Let a number be x

Therefore the sum of seven times a number and five is

$7x+5$

Also the sum of negative two times the number and eleven

$-2x+11$

Now, the statement “the sum of seven times a number and five, divided by the sum of negative two times the number and eleven” can be written as

$\frac{(7x+5)}{(-2x+11)}$

which is required expression.

Hence, option D is correct.

hodyreva [135]4 years ago

5 0

The answer is (7x+5) / (-2x+11)

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Which expression simplifies to 41? Choose all that apply!

Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

<u><em>We are going to analyze every option:</em></u>

1. 10+ 2.4 - 1

First we have to solve the multiplication:

$10+ 2.4 - 1=10+8-1$

Now we have to solve the addition and subtraction from left to right:

$10+8-1=18-1=17\neq 41$

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

$10+2.(4-1)=10+2.(3)$

Now the multiplication and then the addition.

$10+2.(3)=10+6=16\neq 41$

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

$(10+23).4-1=(33).4-1$

Now the multiplication and then the subtraction:

$(33).4-1=132-1=131\neq 41$

This is not a correct option.

4. $10+(2^2.4)-1$

We have to solve the parentheses first, in the parenthesis first we have to solve: $2^2$ and then do the multiplication.

$10+(2^2.4)-1=10+(4.4)-1=10+16-1$

Now we have to solve the addition and subtraction from left to right:

$10+16-1=26-1=25\neq 41$

This expression is not a correct option.

Then none of the expressions is simplified to 41.

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3 years ago

Find the base and height of a rectangle with vertices (-4,7), (-2,7), (-2,1), and (-4,1).

Salsk061 [2.6K]

Answer:

The height is 6 unit

The base is 2 units.

Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

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3 years ago

A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,0

CaHeK987 [17]

Answer:

1) No, there is not enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

$p_1=X_1/n_1=21/100000=0.0002$

The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

$p_2=X_2/n_2=30/100000=0.0003$

The difference between proportions is (p1-p2)=-0.0001.

$p_d=p_1-p_2=0.0002-0.0003=-0.0001$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{21+30}{100000+100000}=\dfrac{51}{200000}=0.00026$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26$

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=P(z$

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the vaccine was effective.

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lakkis [162]

Answer:

the answer is 2.89

Step-by-step explanation:

u divide 289 to 100 or 289/100=2.89

hope this helps

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