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1 year ago

Name the property shown and explain

Mathematics

1 answer:

Alika [10]1 year ago

5 0

The distributive property is being used because a is being distributed to b and c, which leaves you with ab + ac

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What is the value of x?

frez [133]

$\left\{\begin{array}{ccc}x+2y=4&\text{multiply both sides by 5}\\4x-5y=42&\text{multiply both sides by 2}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}5x+10y=20\\8x-10y=84\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad13x=104\qquad\text{divide both sides by 13}\\\\\boxed{x=8}\\\\Answer:\ \boxed{\boxed{x=8}}$

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2 years ago

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents,

RoseWind [281]

Answer:

The statement that "the margin of error was given as $\pm5$ percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval $\hat{p} \pm 0.05$ ; where $\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05$ is likely to contain the true population percentage of people that prefer chocolate pie.

Step-by-step explanation:

The margin of error for proportions is given by the following formula:

$z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$z_{\alpha /2}$ is the critical value that corresponds to the confidence level; the confidence level being $1-\alpha$ ,

$\hat{p}$ is the sample's proportion of successes,

$n$ is the size of the sample.

In this exercise we have that $\hat{p}=0.14$ and that the margin of error is 0.05.

Therefore if we replace in the formula to calculate the confidence interval we get:

$\hat{p}\pm 0.05=0.14\pm0.05=(0.09, 0.19)$

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).

7 0

3 years ago

What is the difference between exponent form and expanded form (repeated multiplication)?

Inga [223]

Expanded FormExpanded form refers to a base and an exponent written as repeated multiplication. ExponentExponents are used to describe the number of times that a term is multiplied by itself. ExpressionAn expression is a mathematical phrase containing variables, operations and/or numbers.

5 0

3 years ago

Plz help me I really need it

IrinaVladis [17]

Answer:

i think [after solving] that it is option B and C

Step-by-step explanation:

4 0

3 years ago

The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?

dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42. We know that x plus y equals 42.

x=2y . We also know that x equals twice y.

2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.

x=28. Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

4 0

3 years ago