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3 years ago

The slope of the line is 0. It passes through the point (-3,4). Identify two other points on the line. Justify you answer

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

Two other points: (2, 4) (6, 4)

Step-by-step explanation:

A line with a slope = 0 is a horizontal line [with a y-intercept of (0, <em>b</em>)], given by the linear equation, <em>y</em> = 4<em>. </em>This means that the y-coordinate will always equal to 4, regardless of its corresponding x-coordinate. Basically, we could choose any x-coordinate to pair with the y-coordinate of 4.

I chose the ordered pairs, (2, 4) and (6, 4).

Attached is a screenshot of the graphed linear equation, y = 4.

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A catering company provides packages for weddings and for showers. The cost per person for small groups

Tomtit [17]

Using the <em>normal distribution and the central limit theorem</em>, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.

<h3>What is the mean and the standard error of the distribution of differences?</h3>

For each sample, they are given by:

$\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667$

$\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382$

For the distribution of differences, we have that:

$\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3$

$s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444$

The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, <u>one subtracted by the p-value of Z when X = 0</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0 - 17.3}{9.4444}$

$Z = -1.83$

$Z = -1.83$ has a p-value of 0.0335.

1 - 0.0335 = 0.9665.

More can be learned about the <em>normal distribution and the central limit theorem</em> at brainly.com/question/24663213

5 0

2 years ago

A pharmacist has 40% and 60% iodine solutions on hand. How many liters of each item solution will be required to produce 8 L of

jok3333 [9.3K]

Answer:

The quantity of 40 % solution is 4 liters and

The quantity of 60 % solution is 4 liters .

Step-by-step explanation:

Given as

A pharmacist has 40% and 60% iodine solutions on hand.

Let the quantity of 40 % iodine solutions = x liter

And The quantity of 60 % iodine solutions = y liter

The total quantity of iodine mixture = 8 liter

I.e The quantity of 40 % iodine solutions + the quantity of 60 % iodine solutions = 8 Liter

or x + y = 8

The The percentage of mixture solution = 50 %

∴ 40 % of x + 60 % of y = 50 % of 8

I.e 40 x + 60 y = 400 ..........A

And x + y = 8

Or, 40× ( x + y ) = 40× 8

or, 40 x + 40 y = 320 ...........B

Now , solving equations A and B

I.e ( 40 x + 60 y ) - ( 40 x + 40 y ) = 400 - 320

Or, ( 40 x - 40 x ) + ( 60 y - 40 y ) = 80

Or, 0 + 20 y = 80

∴ y = $\frac{80}{20}$

I.e y = 4 liters

So, The quantity of 60 % iodine solution = y = 4 liters

Put The value of y in Eq A

So , 40 x + 60 × 4 = 400

Or, 40 x = 400 - 240

or, 40 x = 160

∴ x = $\frac{160}{40}$

I.e x = 4 liter

So, The quantity of 40 % iodine solution = x = 4 liters

Hence The quantity of 40 % solution is 4 liters and the quantity of 60 % solution is 4 liters . Answer

3 0

3 years ago

CAN SOME ONE PLEASEEEEEEE HELP ME!!!!!!!!!!!!!

stellarik [79]

D>7

To write an inequality means to write an expression where one side is greater than the other, or less than the other. In this case, we are to write an inequality that shows that John will have more than 7 dollars in his bank account. The variable we are to use is d, which will represent the number dollars in his bank account. If he wants to have more than seven dollars, then d will have to be greater than seven.

3 0

3 years ago

I’m about to smash my laptop with a brick please please help

RSB [31]

Answer: y = 800

Step-by-step explanation:

3(y+200) = 3000

y+200 = 1000 (dividing 3 from both sides)

y = 800

6 0

3 years ago

If 32x+1 – 3x+5, what is the value of x?<br> N<br> w<br> оооо<br> o