Solve for y: y+4 = -2(x – 6)​

Answer:

24 teaspoons

Step-by-step explanation:

2 times 12 = 24

48 - 24 = 24

Answer:

$19.03

Step-by-step explanation:

Okay, this is a standard percentage problem, so learning how to do this is necessary. First, we have to find what 6% of $17.95 is, since of is our keyword and that means to multiply, and percentages turn into decimals:

17.95 x 0.06 = 1.08

So we have our tax, then we have to add that to our original price to get the whole thing:

17.95 + 1.08 = 19.03

So the total sale price is $19.03

Answer:

If m is the midpoint of ab it means am is equal to mb

am = 3x + 8 and mb = 6x-4

and ab  = am + mb

first find the value of x by using am = mb

3x + 8 = 6x - 4

8 + 4 = 6x - 3x

12 = 3x

x = 4

ab = 3 (4) + 8

= 12 + 8 = 20 = mb

ab = am + mb

= 20 + 20

40

so, the value of ab is 40

Answer:

0.0006

Step-by-step explanation:

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Learn more about standard normal distribution here:

https://brainly.com/question/14989264

Answer:

10w-3t+5

Step-by-step explanation:

The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

Let's say the number of words written is w and the number of tiles is t.

As per the given,

Players earn 10 points so 10w will be points through words.

3 points taken away thus -3t.

One word contains 6 letters thus +5 points.

Total score = 10w - 3t + 5.

Hence "The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ5

Simple answer.

-1 x 3 = -3

3 is your x and -3 is your y.

Answer:

64

Step-by-step explanation:

Answer:

Max exercises 13 hours a week, and Sasha 7.

Step-by-step explanation:

To find the number of hours each of them exercises during the week, we solve the system of equations.

In the second equation:

[tex]x = 4y - 15[/tex]

Replacing in the first equation:

[tex]x + y = 20[/tex]

[tex]4y - 15 + y = 20[/tex]

[tex]5y = 35[/tex]

[tex]y = \frac{35}{5}[/tex]

[tex]y = 7[/tex]

So Sasha exercises 7 hours per week.

Max:

[tex]x + y = 20[/tex]

[tex]x + 7 = 20[/tex]

[tex]x = 13[/tex]

Max exercises 13 hours a week.

Answer:

C

Step-by-step explanation:

Answer: C. $6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

I did the test

Answer:

so what is the question?

Answer:

C x=55

Step-by-step explanation:

the angles of a trianlge add up to 180

the unmarked angle is also 35 because of the same side length

35+35=70

180-70=110

BUT 2x=110 so x=55

P.S Can I get brainlist?

Answer:

6x+6y+6

Step-by-step explanation:Distributive property and adding

Answer:

2 1/4 pints

Step-by-step explanation:

create a ratio with the fact there are 16 ounces in 1 cup

let 'p' = number of pints

16 = 36

 1         p

cross-multiply:  16p = 36

                            p = 36/ 16, which is 9/ 4, or 2 1/4

Answer:

[tex]r < 11[/tex]

Step-by-step explanation:

Given

Represent Ruth with r and Scoonsie with s

[tex]s = 11kg[/tex]

Required

Represent Ruth's weight as an inequality

From the question, Ruth weighs lesser than Scoonsie. This is represented as:

[tex]Ruth < Scoonsie[/tex]

For proper representation, it is:

[tex]r < s[/tex]

Substitute 11 for s

[tex]r < 11[/tex]

The above inequality represents Ruth's weight

Answer:

y = x + 1

Step-by-step explanation:

slope/m = -3/3 = -1

b/y-inter = 1

Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

Answer:

the first one, 2.5x

Step-by-step explanation:

Hope this helps!

Answer:

y=-6x+56

Step-by-step explanation:

The point-slope equation of a line is given as

y=mx+c   where m is slope and c is y-intercept of a line.

We are given m=-6 and a point (10,-4) which can be put into y=mx+c to find the only unknown c. Thus,

c=-4+6x10=56.

Now we can easily form the point-slope equation of the line

y=-6x+56.

Answer:

this is not a function

Step-by-step explanation:

Answer:

The population in 6 years will be 42,960.

Step-by-step explanation:

First, multiply 7.2% or 0.072 and 30,000 which will give you 2,160.

Then, 2,160 by the number of years (6) which is 12,960.

Lastly add 12,960 and 30,000 to get 42,960.

Hope this helps and I hope u have an Amazing day!

Answer:

.

Step-by-step explanation:

Answer:

The second one because $2.50

Step-by-step explanation:10.5/3 1/3=3.15 6.25/2.5=2.50

Answer:

B. Phoebe

Step-by-step explanation:

Let's find the slope of the line that passes through (12, 5) and (12, 9).

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 5}{12 - 12} = \frac{4}{0} [/tex] = undefined.

14 can't be divided by zero. Therefore, it is concluded that the slope of the line is undefined.

Therefore, Phoebe is correct.

Answer:

it's b

Step-by-step explanation:

literally twelve minus m

Answer:

B

Step-by-step explanation:

12 minus m is, 12 - m

Answer:

0.2 is the answer .

Hope it helps..

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]

__

2) use the numerators when the denominators are the same

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]

Answer:

y= -1/2 x -1

Step-by-step explanation: