Which is the graph of
y-3 = - 2/3 (x + 6)?

The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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The sampling method used in this problem is classified as:

Simple Random Sampling

Samples may be classified as:

In this problem, all the options are assigned a number and then taken, hence a Simple Random Sample is used.

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Answer:

A.  4

Step-by-step explanation:

Given inequality:

\(x+9 < 4x\)

Rearrange the inequality to isolate x.

Subtract x from both sides of the inequality:

\(\begin{aligned}x+9-x & < 4x-x\\9& < 3x\end{aligned}\)

Divide both sides of the inequality by 3:

\(\begin{aligned}\dfrac{9}{3}& < \dfrac{3x}{3}\\\\3& < x\\\\x& > 3\end{aligned}\)

So the values of x that make the inequality true are:

Therefore, from the given answer options, the value of x that makes the inequality true is x = 4.

To check this, substitute x = 4 into the inequality:

\(\begin{aligned}x+9& < 4x\\x=4\implies 4+9& < 4(4)\\13& < 16\end{aligned}\)

As 13 is less than 16, the inequality is true when x = 4.

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

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A scale drawing is a drawing of a real object with the actual sizes accurately enlarged or reduced by a given factor, known as the scale of the drawing

The correct values are:

The actual dimensions (of the room) would be: \(6\frac{2}{3}\) feet by: 9 feet

The area of the room would be 60 square feet

The reason the above values are correct is as follows;

The given parameters are;

The scale of the floor plan is 32 inches : 1 inch, which reads;

32 inches in actual dimension is equivalent to 1 inch in the drawing

The dimensions of the room in the drawing is 2 1/2 inches by 3 3/8 inches

The number of decimal places of the answer is the nearest .01 inches:

Required:

The actual dimensions of the room in the question

Method:

The dimensions of the room is given by multiplying the given drawing dimensions by 32 inches, as follows;

Solution:

The actual dimensions of the room is given as follows;

\(Actual \ Room \ dimensions: \ 2\frac{1}{2} \ inches \times 32 \ by \ 3\frac{3}{8} \ inches \times 32\)

Where;

\(2\frac{1}{2} = \dfrac{5}{2}\), and  \(3\frac{3}{8} =\dfrac{27}{8}\)

Which gives;

\(\dfrac{5}{2} \ inches \times 32 = 80 \ inches \ by \ \dfrac{27}{8} \times 32 = 108 \ inches\)

However;

80 inches = \(6\frac{2}{3}\) feet

108 inches = 9 feet

Therefore;

The actual dimensions (of the room) would be: \(6\frac{2}{3}\) feet by: 9 feet

The area of the room, A = \(6\frac{2}{3}\) feet × 9 feet = 60 square feet

Therefore;

The area of the room would be 60 square feet

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Answer:

23/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify and set up

4 + -2 ÷ -3 + 3

Step 2: Evaluate

\( \frac{14}{35} + \frac{10}{35} - \frac{4}{35} = \frac{4}{7} \)

The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes.

let, the event be A,

i.e. A = if a child is selected at random, that child has blonde hair or brown eyes.

now, we have,

total no of sample space = 35

probability of blonde hair = 10/ 35

probability of brown eyes = 14/35

probability of both blonde hair and brown eyes = 4/35

so, we get,

probability of  blonde hair or brown eyes = 14/ 35 + 10/ 35 - 4/35

                                                                    = 20 / 35

                                                                    = 4/7

Hence, The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

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Answer:

The answer is y = x+10

Step-by-step explanation:

\(y - 8 = 1(x + 2) \\ y = x + 2 + 8 \\ y = x + 10\)

\(m = \frac{y2 - y1}{x2 - x1} = \frac{8 - 2}{ - 2 - ( - 8)} = \frac{6}{6} = 1\)

\(y - y0 = m(x - x0)\)

Answer:

2 1/4 cups

Step-by-step explanation:

Answer:

2.5 tons=5,000 pounds

Step-by-step explanation:

1 ton=2,000 pounds

2,000x2.5=5,000

Answer:

None of the above ? （the equation should be y=12）

Step-by-step explanation:

the line parallel to line y=40-1=39 means it's a horizontal line. Which means it's y coordinate is also a constant. Since it pass through （2,12）,it means the constant of y is 12.

Answer:

30 percent of 120 is 36

Answer:

The right answer is:

(a) 0.1456

(b) 18.125, 69.1202, 8.3139

Step-by-step explanation:

Given:

N = 24

n = 5

r = 7

The improperly drilled gearboxes "X".

then,

⇒ \(P(X) = \frac{\binom{7}{x} \binom {17}{5-x}}{\binom{24}{5}}\)

(a)

P (all gearboxes fit properly) = \(P(x=0)\)

                                               = \(\frac{\binom{7}{0} \binom{17}{5}}{\binom{24}{5}}\)

                                               = \(0.1456\)

(b)

According to the question,

\(X = 91+5\)

Mean will be:

⇒ \(\mu = E(x)\)

       \(=E(91+5)\)

       \(=9E(1)+5\)

       \(=9.\frac{nr}{N}+5\)

       \(=9.\frac{5.7}{24} +5\)

       \(=18.125\)

Variance will be:

⇒ \(\sigma^2=Var(X)\)

         \(=V(9Y+5)\)

         \(=81.V(Y)\)

         \(=81.n.\frac{r}{N}.\frac{N-r}{N}.\frac{N-n}{N-1}\)

         \(=81.5.\frac{7}{24}.\frac{24-7}{24}.\frac{24-5}{24-1}\)

         \(=69.1202\)

Standard deviation will be:

⇒ \(\sigma = \sqrt{69.1202}\)

       \(=8.3139\)      

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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X = 1 4 5 6

Y = 20 8 4 0

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

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Answer:

∠EGD

Step-by-step explanation:

Two angles are Complementary when they add up to 90 degrees (a Right Angle)

so ∠EFG + ∠EGD are complimentary angles

Westside Carpet charges more per square foot for the carpet

Since the Carpet City charges $5 per square foot for a type of carpet. They charge an additional $95 for installation.

we can write the linear function for Carpet City charges as:

y = 5x + 95

where x is the number of square foot

From the table:

rate for Westside Carpet = 3250/642 = $5.06 per carpet

The the linear function for Westside Carpet is y = 5.06x

Thus, Westside Carpet charges more because 5.06 is greater than 5.

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The answer is 15/4 cups of sugar.

Answer:

a) 0.8461 = 84.61% probability that Jodi scores 77% or lower on a 100-question test.

b) 0.9463 = 94.63% probability that Jodi will score 77% or lower.

c) 400 questions.

d) Yes, because the formula is the same, independently of the value of p.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 p-value, 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 \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

\(p = 0.81\)

Question a:

100 questions means that \(n = 100\)

For the approximation, we have that:

\(\mu = p = 0.81\)

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.81*0.19}{100}} = 0.0392\)

This probability is the pvalue of Z when X = 0.77. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.77 - 0.81}{0.0392}\)

\(Z = 1.02\)

\(Z = 1.02\) has a pvalue of 0.8461

0.8461 = 84.61% probability that Jodi scores 77% or lower on a 100-question test.

Question b:

Now \(n = 250\), so:

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.81*0.19}{250}} = 0.0248\)

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.77 - 0.81}{0.0248}\)

\(Z = 1.61\)

\(Z = 1.61\) has a pvalue of 0.9463

0.9463 = 94.63% probability that Jodi will score 77% or lower.

Question c:

The formula for the standard deviation is:

\(s = \sqrt{\frac{p(1-p)}{n}}\)

Meaning that it is inversely proportional to the square root of the sample size.

So, to reduce the standard deviation by half, the number of question must be multiplied by (2)^2 = 4.

100*4 = 400

So 400 questions.

d. Laura is a weaker student for whom p = 0.76. Does the answer you gave in (c) for standard deviation of Jodi's score apply to Laura's standard deviation also?

Yes, because the formula is the same, independently of the value of p.

Answer:

M

Step-by-step explanation:

because it is equal on either side if you cut a line down the middle of the letter

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Answer:

Dominan is X.

Range is Y

Step-by-step explanation:

Answer:

Range is Y and Domain is x

Step-by-step explanation:

Answer:

1.

Step-by-step explanation:

To find the y-intercept of an equation, you substitute 0 for x in the function.

f(x)=(1/3)^x

f(x)=(1/3)^(0)

f(x)=1

Answer:

120 because 20 x 6 = 120 when u take of sunday it will be 6 days

Step-by-step explanation:

Sorry, this was the answer to the wrong question, I'm very sorry for the inconvenience.