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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

sergiy2304 [10]

After using the algebraic equation, the required value of x = 55/2.

WHAT IS ALGEBRIC EQUATION?
A mathematical statement wherein two expressions have been set equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases. Equations, or the equal sign, simply indicate equality. Equating each quantity with another is what equations are all about. Equations act as a scale of balance. If you've ever seen a balance scale, users know that for the scale to be deemed "balanced," an equal amount of weight must be applied to each side. The scale will tip to one side if we only add weight to one side, and the two sides will no longer be equally weighted.

(x-3)2 = 49

= x-3 = 49/2

= x = (49/2) + 3

= x = 55/2

So, the required value of x = 55/2.

To know more about algebraic equation click on the below given link

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4 0

1 year ago

How many observations are there for each case in a t test for dependent samples?

Oxana [17]

The number of observations for each case in a t test for dependent samples is two is the correct answer.

In this question,

The dependent t-test also called the paired t-test or paired-samples t-test compares the means of two related groups to determine whether there is a statistically significant difference between these means. Each sample must be randomly selected from a normal population and each member of the first sample must be paired with a member of the second sample.

A dependent samples t-test uses two raw scores from each person to calculate difference scores and test for an average difference score that is equal to zero.

The groups contain either the same set of subjects or different subjects that the analysts have paired meaningfully. In dependent samples, subjects in one group do provide information about subjects in other groups.

Hence we c an conclude that the number of observations for each case in a t test for dependent samples is two is the correct answer.

Learn more about dependent t-test here

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5 0

2 years ago

You have $3 and earn $7.50 for each car you wash. Write an equation in two variables that represents the total amount a

worty [1.4K]

Answer:

f(x)= 7.5x + 3

Step-by-step explanation:

you have 3 dollars just there, and you get 7.50 per car wash, so that is the x

5 0

3 years ago

A linear function has a slope of 8/3 and passes through the point (0,5). What is the equation of the line?

MArishka [77]

This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.

Slope-Intercept Form: y = mx + b

---m is the slope

---b is the y-intercept

y = 8/3x + 5

Hope this helps!! :)

3 0

2 years ago

Read 2 more answers

A card is selected randomly from a jar that contains 15 cards, numbered from 25 to 39. What is the probability that the card sel

VikaD [51]

Answer:

The probability that the card selected bears a number less than 34 is 0.3333.

Step-by-step explanation:

Let random variable X be defined as the number on the selected card.

There are N = 15 total cards.

The number on the cards are as follows:

S = {25, 26, 27,..., 38, 39}

The probability of an event, E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

In this case we need to compute the probability that the card selected bears a number less than 34.

The favorable outcomes are:

s = {25, 36, 37, 38, 39}

n (X < 34) = 5

Compute the probability that the card selected bears a number less than 34 as follows:

$P(X$

$=\frac{5}{15}\\\\=\frac{1}{3}\\\\=0.3333$

Thus, the probability that the card selected bears a number less than 34 is 0.3333.

7 0

3 years ago