TEST
1) ERROR ANALYSIS: Identify and correct the error in describing the transformation of the parent
function.

Answer:

1) x=1

2) x=6

3) x=3

Step-by-step explanation:

i just did them :) good luck

Answer:

2/5

Step-by-step explanation:

Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.

Answer:

[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]

Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

Answer:

6x+8

Step-by-step explanation:

38 inches. We write an equation for how much it grows each year, plus the original 8 inches. So, 6(5)+8=38

Answer:

The last one is 8

Step-by-step explanation:

I'm unsure of the question.

Answer:

Step-by-step explanation:

the gcf of that is X

The undefined term should be considered when A line extends both directs between point X and point Y.

In terms of geometry, the undefined term should represent the main object where the rest of the objects should be considered as the line, point, and the plane.

So when there is the line extension that lies between point x and point Y so it should be an undefined term.

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Answer:

Option D

Step-by-step explanation:

yes

Answer:

After 5 months each company will charge the same amount

Step-by-step explanation:

Math Modeling

The situation raised in the question can be modeled as follows.

Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:

Ca = 75 + 20x

Company B charges no upfront fees, and $35 a month. We model its charges Cb as:

Cb = 35x

We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:

75 + 20x = 35x

Subtracting 20x:

75 = 35x - 20x

Swapping and simplifying:

15x = 75

Solving:

x=75 / 15

x=5

After 5 months each company will charge the same amount

The probability is  [tex]\frac{31}{365}[/tex]  , If an individual is selected at random have birthday in July  .

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

Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex] = [tex]\frac{x}{n}[/tex]

According to the question

Total number  of days in year = 365

Total number of days in a leap year = 366

As, given  Ignore leap years

So, we will take days of years as 365 .

Now,

he or she has a birthday in July

i.e ,

It can be be happen any day of July

Total days in July = 31

Now,

Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex] = [tex]\frac{x}{n}[/tex]

substituting the value

Probability(Event) = [tex]\frac{Total\\\ day\\\ in\\\ July }{Total\\\ days\\\ in\\\ year}[/tex]

Probability(Event) = [tex]\frac{31}{365}[/tex]

Hence, If an individual is selected at random the probability have birthday in July  is  [tex]\frac{31}{365}[/tex]  .

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Answer:

the answer is 9

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Using associative property, [tex]8(\frac{1}{4}*\frac{3}{5}) \\[/tex] can be evaluated as 6/5 = 1.2.

The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.

(A × B) × C = A × (B × C).

[tex]=8(\frac{1}{4}*\frac{3}{5}) \\\\=(8*\frac{1}{4}) *\frac{3}{5}\\ \\ = 2* \frac{3}{5} = \frac{6}{5} = 1.2[/tex]

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Part A:

The y-intercept is $1,500

The x-intercept is 20 days

Part B:

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

f(x) = -75·x + 1500

Part D:

$1,125

Step-by-step explanation:

The information given are;

x,                 g(x)

0,                 $1,500

2,                 $1,350

4,                 $1,200

The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is  y = m·x + c

Where;

m = The slope

c = The y-intercept

From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);

The y-intercept = y at x = 0 = 1,500

y = -75·x + 1500

x = 1500/75 = 20

Part B:

The equation in point-slope form is y - y₁ = m×(x - x₁)

Which gives;

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

The equation of the line using function notation is f(x) = -75·x + 1500

Part D:

The balance in the bank after 5 days is f(5) = -75 × 5  + 1500 = $1,125

Answer:

s=-1.5

Step-by-step explanation:

We need to isolate the variable.

1. Subtract 4.5s from both sides

2. We now have the equation -4s+1=7

3. Subtract 1 from both sides

4. -4s=6

5. Divide both sides by -4

6. The answer would be s=-1.5

Answer:

j

Step-by-step explanation:

I messed up sorry I gave you the wrong answer just ignore this

Answer:

more info please!!!

Step-by-step explanation:

I constructed line AD as a perpendicular bisector of line BC. Angles BDA and CDA are both 90 degrees because of the construction of a perpendicular bisector. Angles BDA and CDA are congruent because of the transitive property of equality.  Line BD is also equal to CD according to the definition of a perpendicular bisector. Triangles ABD and ACD are congruent by the angle side angle postulate. Since the parts of the congruent triangles are congruent, lines AB and AC are congruent.

The sides AB and AC opposite the congruent base angles of a triangle are congruent.

An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For the given situation,

Triangle ABC be an isosceles triangle.

∠ABC ≅ ∠BCA.

The diagram below shows an isosceles triangle ABC with AD is the perpendicular bisector of BC.

The perpendicular bisector AD divides the line BC as BD and DC.

Then, BD = DC.

We get triangles ΔADB and ΔADC,

AD = AD [∵ common side]

⇒ [tex]\angle ADB = \angle ADC=90[/tex]

Thus by ASA theorem,

The two triangles ΔADB and ΔADC are similar.

Then by CPCT theorem,

Side AB ≅ AC.

Therefore the sides AB and AC opposite the congruent base angles of a triangle are congruent.

Hence we can conclude that the sides AB and AC opposite the congruent base angles of a triangle are congruent.

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Answer:

Explained below.

Step-by-step explanation:

(a)

In this case we need to determine if the proportion of customer complaints has decreased by more than 10% under the new packaging design.

The hypothesis can be defined as follows:  

H₀: The proportion of customer complaints has not decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ ≤ 0.10.  

Hₐ: The proportion of customer complaints has decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ > 0.10.  

(b)

The information provided is:

n₁ = 220

n₂ = 220

X₁ = 86

X₂ = 41

Compute the sample proportions and total proportions as follows:

[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{86}{220}=0.3909\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{41}{220}=0.1864\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{86+41}{220+220}=0.2886[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

   [tex]=\frac{0.3909-0.1864}{\sqrt{0.2886(1-0.2886)\times[\frac{1}{220}+\frac{1}{220}]}}\\\\=\frac{0.2045}{\sqrt{0.0018665}}\\\\=4.733524\\\\\approx 4.73[/tex]

The test statistic value is 4.73.

Compute the p-value as follows:

[tex]p-value=P(Z>4.73)[/tex]

               [tex]=1-P(Z<4.73)\\=1-(\approx 1)\\=0[/tex]

The p-value of the test is 0.

(c)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0 < α = 0.01.

The null hypothesis will be rejected at 1%significance level.

Thus, there is enough evidence at 1% significance level to support the engineers' claim.

(d)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0 < α = 0.10.

The null hypothesis will be rejected at 10%significance level.

Thus, there is enough evidence at 10% significance level to support the engineers' claim.

9514 1404 393

Answer:

  y = -3/5x +27/5

Step-by-step explanation:

Since we want a parallel line, we can use the same x- and y-coefficients to find the new constant in the given form:

  -3(4) -5(3) = -12 -15 = -27

In the given form, the equation of the desired line is ...

  -3x -5y = -27

Solving for y, we have ...

  -5y = 3x -27

  y = -3/5x +27/5

Answer:

33.32

Explantion: 7x4.76

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Answer:

1.) False

The product [tex]\bold{\frac{5}{2}}[/tex]([tex]\bold{\frac{4}{25}}[/tex]) will give the unit price of one kilogram of rice.

2.) False

Emily paid less than $1.50 per kilogram of rice.

3.) True

If Emily has $1.00 \:to\: spend\: on\: rice, she\: can\: get [tex]\frac{4}{10}[/tex]$ of a kilogram of rice.

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Answer:

4/5 , 40/50, 80/100

Step-by-step explanation:

Answer:

1¼

Step-by-step explanation:

⅝ ÷½

=⅝ײ/1

=⁵/4

=1¼

Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is 5/16 of the pizza.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Amount of pizza = 5/8

Equally shared between two people:

= 5/8 ÷ 2

= 5/(8x2)

= 5/16

This means that the fraction of the original pizza that each person receives is  5/16 of the pizza.

Thus,

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is  5/16 of the pizza.

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Answer:1316

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:7.84

Step-by-step explanation:

Answer:

15=3s+1.5p

Step-by-step explanation:

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Answer:

15=3s+1.5p

Step-by-step explanation:

15(total money spent)

3s     s=amount of bars

1.5p    p= amount of sports drinks

Answer:

see below

Step-by-step explanation:

f(x) = 4x-3

Let x=-4

f(-4) = 4*-4 -3 = -16-3 = -19

Let x=-3

f(-3) = 4*-3 -3 = -12-3 = -15

Let x=1

f(1) = 4*1 -3 = 4-3 = 1

Let x=4

f(4) = 4*4 -3 = 16-3 = 13

Let x=5

f(5) = 4*5 -3 = 20-3 = 17

Answer:

First one:-19

Second one:-15

Third one:1

Fourth one:13

Fifth one:17

HOPE THIS HELPS :)

Step-by-step explanation:

Answer:

0.32472

Step-by-step explanation:

Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

z = (9 - 10)/2.2

z = -1/2.2

= -0.45455

Probability value from Z-Table:

P(x ≤ 9) = P(x < 9)

= 0.32472

Therefore, the proportion of trees having a diameter less than 9 inches is

0.32472

The proportion of trees having a diameter less than 9 inches is 32.64%

z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score.\mu\ is\ mean,\sigma\ is \ standard \ deviation[/tex]

Given that μ = 10, σ = 2.2, hence:

[tex]For\ x<9:\\\\z=\frac{9-10}{2.2} =-0.45[/tex]

From the normal distribution table, P(x < 9) = P(z < -0.45) = 0.3264 = 32.64%

The proportion of trees having a diameter less than 9 inches is 32.64%

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