Which of the ordered pairs is
4x – 1= 3y + 5

Answer: Mean of the sample proportion = 74.4

Standard deviation of the samnple proportion is 5.32.

Step-by-step explanation:

Given : A random sample of 120 is taken from a population of 10000.

Let n = 120

Also, from previous survey, it is believed that 62% of the population has an Instagram account.

i.e, population proportion : p = 0.62

Now , the mean of the sample proportin would be :

[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]

i.e. Mean of the sample proportion = 74.4

The standard deviation of the samnple proportion would be :

[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]

Thus , the standard deviation of the samnple proportion is 5.32.

There are 20 rosebushes, Juanita painted 3/4 of them.

So, we can convert 3/4 into a decimal or just multiply it by 20 to get the number of rose bushes that were painted red. Either way works.

Work:

20 x 3/4 = 15

3/4 = .75

.75 x 20 = 15

20 - 15 = 5

Therefore, 15 rosebushes were painted red and 5 rosebushes were painted white.

Answer:

14/27

Step-by-step explanation:

Let x be the unknown number

-2/3 * x = -28/81

Multiply each side by -3/2

-3/2*-2/3 * x = -28/81 * -3/2

x = 28/2 * 3/81

x =14*1/27

x = 14/27

Answer:

14/27

Step-by-step explanation:

Let x be the other number

x × -2/3 = -28/81

x = -28/81 × -3/2

x = 14/27

Answer:

B. 2/9

Step-by-step explanation:

3/8 = 0..375

2/9 = 0.2222222222

3/10 = 0.3

5/16 = 0.3125

the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers

Answer:

I’ll help you just show me the question

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

GCF=4

Step-by-step explanation:

It's 4

24/4=6

40/4=10

60/4=15

You can't go any higher because there is no GCF of 6, 10, and 15.

Answer:

what do you need help with?

Step-by-step explanation:

Answer:40 min

Step-by-step explanation:

5+.10x=3+.15x

-.10. -.10

5= 3+.05x

-3. -3

2=.05x

Divide by .05

X=40

Answer:

you won't roll the same number 5 times

Answer:

Payton, our equation looks like y = mx + b with m being the slope and b being the y-intercept. We are given a slope of 3, and if the graph passes through the origin, the y-intercept is 0.

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

Answer:

Three squares that form right triangle:

A, E and C

Step-by-step explanation:

Area of E = 1^2 = 1

Area of A = 2.4^2 = 5.76

Area of C = 2.6^2 = 6.76

Area A + Area E = Area C

Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to tjank me...

[tex](\sqrt{6} + \sqrt{3})(\sqrt{6} - \sqrt{3}) = 6 -\sqrt{3} \sqrt{6} + \sqrt{3} \sqrt{6} - 3 = 6 - 3 = 3[/tex]

Answer:

6 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

A = 3 *2 = 6 cm^2

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

Answer:

Nancy paid 2.98 per gallon of gasoline.

Step-by-step explanation:

The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:

ratio = total money / total gasoline

ratio = 10.43 / 3.5

ratio = 2.98 money / gallon

Nancy paid 2.98 per gallon of gasoline.

Answer:

True

Step-by-step explanation:

Let A denotes the point (1,7)

Let B denotes the point (5,5)

We are supposed to find The length of the line segment containing the points

Formula : [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex](x_1,y_1)=(1,7)\\(x_2,y_2)=(5,5)\\ d = \sqrt{(5-1)^2+(5-7)^2}\\ d = \sqrt{4^2+(-2)^2}\\ d = \sqrt{4^2+(-2)^2}\\d=4.47[/tex]

So,The length of the line segment containing the points (1,7) and (5,5)  is 4.47 units is true.

Hence Option A is true

Answer:

He can make 2 batches of lemonade with 1 pint of lemon juice.

Step-by-step explanation:

First convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To get the number of batches  that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;

Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice

8 fluid ounces = 1 batch

16 fluid ounces = x

cross-multiply

8x = 16

Divide both-side of the equation by 8

8x/8 = 16/8

x= 2 batches.

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

He can make 2 batches of lemonade with 1 pint of lemon juice.

Given that,

Farid uses 8 fluid ounces of lemon juice in one batch of lemonade.

We have to determine,

How many batches can he  make with 1 pint of lemon juice?

According to the question,

First, convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To find the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, the equation can be simplified by using proportion;

Let, x be the number of batches Farid can make with 1 pint (16 fluid ounces) of lemon juice.

8 fluid ounces = 1 batch

16 fluid ounces = x batch

Solving the equation by cross multiplication,

[tex]\dfrac{8}{16} = \dfrac{1}{x}\\\\8x = 16\\\\x = \dfrac{16}{8}\\\\x = 2[/tex]

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

To know more about Multiplication click the link given below.

https://brainly.com/question/19005097

Answer:

24/35 or 0.6857142

Step-by-step explanation:

Answer:

[tex] \frac{24}{35} [/tex]

alternative form:

[tex] 0.685714286 [/tex]

Step-by-step explanation:

[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]

Answer:

5 unit

Step-by-step explanation:

by taking the two points and calculating their distance

length of each side of the park=

sq.rt[(6.5-2.5)^2 + (0-3)^2]

=5

Answer:

Hey!

Your answer is 56 miles!

Step-by-step explanation:

To find speed, we do 294 divided by 5hrs and 15mins (5.25)

So next= 294 / 5.25

Which gives us 56 mph!

HOPE THIS HELPS!!

The car travel 56 miles per hour.

The speed can be defined as the rate at which an object covers some distance.

Here, we know that,

Speed = Distance / Time

Now, Distance = 294 miles

         Time = 5 hours and 15 minutes

                  = 5.25 hours.

Now, Speed = 294 / 5.25

                     = 56 miles per hour.

Thus, the car travel 56 miles per hour.

Learn more about Speed from:

https://brainly.com/question/7359669

#SPJ2

Answer:

EASY-ACCESS CREDIT:

1. title loan with collateral

2. two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. home loan

2. car loan

The division of category on the basis of type of credit would be as follows:

Easy-Access Credit

1. Title loan with collateral

2. Two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. Home loan

2. Car loan

Credit is described as the amount that has been added to a specific account.

Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.

While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).

Close-end credit in which the amount remains specified initially while it is being lent.

Learn more about "Credit" here:

brainly.com/question/1995705

Answer:

Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3?  Assume x =/ 0 y =/ 0

Step-by-step explanation:

The actual answer is B

3/5x^6y^6

on edg just took the test myself and B is the correct answer...  Good Luck!!!

The resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

Given the indices expression;

[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}[/tex]

Applying the law of indices, the expression will become;

[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}\\\frac{9}{15} x^{-1-5}y^{-9-(-3)}\\\frac{9}{15} x^{-6}y^{-9+3}\\[/tex]

HenceSimplify the resulting expression to have:

[tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

Hence the resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

Learn more on indices here: https://brainly.com/question/10339517

Answer:

[tex] \frac{1}{2} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: 1,926.9

Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on.  All you have to do is multiply that first number with the second.

Example: if the gardener collects 20 carrots a week.  How many carrots did the gardener collect in a span of 5 weeks?

Simply just multiply 20 x 5 = 100.

Answer:

5. 34°

6. 29.7

Step-by-step explanation:

5. Using sine law

25/sin(93) = 14/sin(C)

sin(C) = 0.5592325395

C = 34.00273934°

6. Using cosine law

AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)

AC² = 880.507229

AC = 29.67334206

Answer:

5. m∠C ≈ 34°

6. AC ≈ 29.7 metres

Step-by-step explanation:

5. We need to use the Law of Sines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Here, a = 25, ∠A = 93°, and c = 14, so we want to find ∠C:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

[tex]\frac{25}{sin93} =\frac{14}{sinC}[/tex]

sinC ≈ 0.56

∠C ≈ 34°

6. We need to use the Law of Cosines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:

[tex]c^2=a^2+b^2-2abcosC[/tex]

[tex]b^2=a^2+c^2-2accosB[/tex]

[tex]a^2=b^2+c^2-2bccosA[/tex]

Here, a = 23.2, c = 18.1, ∠B = 91°, and b = x. We want to find b, so:

[tex]b^2=a^2+c^2-2accosB[/tex]

[tex]x^2=23.2^2+18.1^2-2*23.2*18.1*cos(91)[/tex] ≈ 880.5

x ≈ 29.7 metres

Answer:

84 cars

Step-by-step explanation:

the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12

12 x 7= 84.... or at least that's how I think of it.

Answer:

y=2

Step-by-step explanation:

1/3 (y+7) = 3(y-1)

Multiply each side by 3 to get rid of the fraction

3*1/3 (y+7) = 3*3(y-1)

y+7 = 9(y-1)

Distribute

y+7 = 9y - 9

Subtract y from each side

y+7-y = 9y-y-9

7 = 8y -9

Add 9 to each side

7+9 = 8y-9+9

16 = 8y

Divide each side by8

16/8 = 8y/8

2 = y

S=-15

Hope I helped :D

Answer: option A is correct

Step-by-step explanation:

The given side lengths are

A) 5, 12, 13

B) 4, 4, 8

C) 2, 3, 4

To be able to form a right ange triangle, the given side lengths must be a Pythagorean triple. Pythagorean triple obeys the Pythagorean theorem such that

Hypotenuse² = opposite side² + adjacent side²

Hypotenuse = the longest side

Applying it to the given options,

A) 13² = 5² + 12² = 25 + 144

169 = 169

It forms a right angle triangle

B) 8² = 4² + 4² = 16 + 16

64 ≠ 32

It does not forms a right angle triangle

C) 4² = 3² + 2²

16 ≠ 13

It does not forms a right angle triangle

Answer:

Option A) 5, 12, 13 is a right angle triangle.

Option C) 2, 3, 4 is approximately a right angle triangle.

Step-by-step explanation:

A right angle triangle always follow pythagora's theorem which basically states that the addition of the squares of the two smaller sides must give the square of the largest side.

For option A)

5^2 + 12^2 = 25 + 144 = 169

Square root of 169 is 13, so it's correct.

For option B)

4^2 + 4^2 = 16 + 16 = 32

Square root of 32 is 5.65, which is not equal to 8. This is not a right angle triangle.

For option C)

2^2 + 3^2 = 4 + 9 = 13

Square root of 13 is 3.606, approximately 4. So this is approximately a right angle triangle.

If the answer requires that it must be exact then choose only A, Otherwise, A and C are correct.