Which is the correct pair?

Answer:

Yes

Step-by-step explanation:

Yes.  They did exponents and grouping symbols first, then multiplication and division left to right.  Addition came before multiplication and division because it was inside a grouping symbol.

Answer:

8+7=15 therefore 8

                          5

Step-by-step explanation:

The numerator from the fraction of apple fruits to total fruits is 8

How to find fraction of apples to total fruits?

Total fruits = apples + oranges

= 8 + 7

= 15

Fraction of apple fruits to total fruits = Number of apples / Total fruits

= 8/15

Therefore, the numerator from the fraction of apple fruits to total fruits is 8

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Answer:

4y²-7y+16yz+28z

Step-by-step explanation:

4y²-7y+16yz+28z

Answer:

Hey there!

In this expression, 5k and -6 are terms, not factors.

In this expression, 5 and k are factors, so the last option is correct.

Let me know if this helps :)

Answer:

5 and k are factors.

Step-by-step explanation:

A factor would be a value or variable which is multiplied by something else. It is 'a part' of the product.

In [tex]5k-6[/tex], 5 and k are being multiplied by each other. This would mean that 5 and k are factors.

Option E should be the correct answer.

[tex]\$1562.52[/tex]

The unitary method is a methodology for solving problems that involves first determining the value of a single unit and then multiplying that value by the required value. The unitary method is used to calculate the value of a single unit from a given multiple.

Number of books sold last month [tex]=1364[/tex]

Total amount earned [tex]=\$1579.16[/tex]

So,

Price of each book [tex]=\frac{1579.16}{1364}[/tex]

                                [tex]=\$1.16[/tex]

Number of books sold this month [tex]=1347[/tex]

Total amount earned [tex]=1.16\times 1347[/tex]

                                   [tex]=\boldsymbol{\$1562.52}[/tex]

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Answer:

It will be 1:50

Step-by-step explanation:

Answer:

11:50 + 2 hr. = 1:50 or 13:50 Military/European time

Step-by-step explanation:

Answer:

The Commutative property is represented by 5 + (-8) = -8 + 5.

Step-by-step explanation:

We are the following the following expression below;

5 + (-8) = -8 + 5

This property says that is any number is added to 0, then the result is the number itself, i.e.;

2 + 0 = 2 or (-7) + 0 = -7.

Suppose there are three numbers; a, b and c.

So, this property hold the condition that; a + (b + c) = (a + b) + c

If we add the second and third numbers and then add the first number to it or if we add the first and second numbers and then add the third number to it, the result will be the same.

Suppose there are two numbers 6 and 8.

This property states that if we add 6 + 8 or 8 + 6, both are equal, i,e;

6 + 8 = 8 + 6

14 = 14.

This property states the following condition;

a [tex]\times[/tex] (b + c) = (a [tex]\times[/tex] b) + (a [tex]\times[/tex] c)

So, 5 + (-8) = -8 + 5 is represented by the commutative property.

Answer:

$12 the hour

Step-by-step explanation: $360 divided by 30 is 12, meaning he will need to make a minimum of 12 an hour to support his family.

Answer:

12

Step-by-step explanation:

Answer:

Probabilty of selecting a blue marble if one marble is drawn

= 0.3529

Step-by-step explanation:

A bag contains 4 red marbles, 6 blue marbles, and 7 green marble.

Total number of marbles

=4 red+ 6 blue+7 green

= 17 marbles in total

Probabilty of selecting a blue marble if one marble is drawn

= Number of blue marble/total number of marble

Probabilty of selecting a blue marble if one marble is drawn

= 6/17

Probabilty of selecting a blue marble if one marble is drawn

= 0.3529

Start by distributing the 2 through both terms inside the parentheses.

This gives us 2x + 14 + x = 20.

Now subtract 14 from both sides to get 2x + x = 6.

Now combine like terms on the left to get 3x = 6.

Now, dividing both sides by 3, we find that x = 2.

Answer:

Accept the null hypothesis if it is two tailed test.

Step-by-step explanation:

The null hypotheses can only be accepted if it is a two tailed test and calculated chi square must be less than the critical value of chi square.

Then the difference between the  the observed and expected frequencies will be zero.

where

H0 : σ²-σ²= 0             Ha: σ²-σ²≠0

For this the critical region would be greater than the calculated value of chi square. If so we will accept the null hypothesis and reject the alternative hypothesis.

Answer:

The rate of the heat flow = 1260 π

Step-by-step explanation:

From the information given :

k = 4.5

u(x,y,z) = 5y² + 5z²

Surface cylinder:

y² +z² = 5,     0 ≤ x ≤ 2

[tex]\mathtt{\overline F = \bigtriangledown u = -k(0,10y, 10z )}[/tex]

[tex]\mathtt{\overline F = -4.5(0,10y, 10z )}[/tex]

[tex]\mathtt{\overline F = (0,-45y, -45z ) \ --- (1)}[/tex]

Now parameterizing the surface by :

x = u  , y = [tex]\mathtt{\sqrt{7} \ cos \ t}[/tex]  , z = [tex]\mathtt{\sqrt{7} \ sin \ t}[/tex]

0 ≤ x ≤ 2        ,        0 ≤ t ≤ 2π

[tex]\mathtt{{ \left. \begin{array}{1} \overline{r_y} = (1,0,0) } \\ \\ \overline{r_t} = (0, \ - \sqrt{7}\ sin \ t, \sqrt{7} \ cos \ t) \end{array} \right\} = r_u \times r_t}[/tex]

[tex]\mathtt{\overline r_u \times \overline r_t = ( -0, - \sqrt{7} \ cos \ t , - \sqrt{7} \ sin \ t) --- (2)}[/tex]

Taking integral of both equations; we have:

[tex]\mathtt{= \int ^{2}_0 \int ^{2 \pi}_{0} (0, -45y, -45 z) (0, - \sqrt{7} \ cos \ t, - \sqrt{7} \ sin \ t) \ dtdu}[/tex]

[tex]\mathtt{= \int ^{2}_0 \int ^{2 \pi}_{0} ( 45\sqrt{7} \ y\ cos \ t+ 45 \sqrt{7} \ z \ sin \ t) \ dtdu}[/tex]

[tex]\mathtt{= 45\sqrt{7}\ \int ^{2}_0 \int ^{2 \pi}_{0} (( \sqrt{7} \ cos \ t)cos \ t + (\sqrt{7} \ \ sin \ t) sin \ t) \ dtdu}[/tex]

[tex]\mathtt{= 45\times {7}\ \int ^{2}_0 \int ^{2 \pi}_{0} (1) \ dtdu}[/tex]

= 315 × (2) × (2π)

= 1260 π

Answer:

Step-by-step explanation:

In a single - sampling plan, when a decision on acceptance / rejection of the lot  is made on the basis of  only one sample, Then , the acceptance plan is said to be a single sampling plan. The single sampling plan is known as the most common and easiest sampling plan

The following symbol representation can be written as follows:

a. N    →   Lot size   from which the sample is drawn

b. n    →    sample size

c. c    →     acceptance number

d. d   →    number of defectives in the sample

For example:

if we take a  randomized sample of  size 'n' from the Lot size.

The next step will be to inspect all items in the sample to find the defectives 'd'

The decision rule is that:

If  the number of defectives is less than or equal to acceptance number, then answer is YES i.e d ≤ c, Then ,  we accept the Lot

If the number of defectives is not less than or equal to acceptance number, then the answer is NO . Then , we reject the Lot.

So if we reject, we either do 100% inspection or return the lot to the supplier.

In a double sampling plan , the decision on acceptance/rejection  of the Lot is based on two samples.

The following symbol representation can be written as follows:

a. n1    →  number of size of sample 1

b. n2    → number of size of sample 2

c. c1    →  acceptance number for sample 1

d. c2    →  acceptance number for sample 2

e. d1    →  number of defectives in sample 1

f. d2   →  number of defectives in sample 2

Answer:

380 square inches

Step-by-step explanation:

Step 1

We find the Surface Area of the Rectangular Prism

The Rectangular Prism has the dimensions of Length × Width × Height = 8 inches by 9 inches by 10 inches

Surface Area of a Rectangular Prism = 2(WL+ HL + HW)

Where W = Width = 9 inches

L = Length = 8 inches

H = Height = 10 inches

Surface Area of the Rectangular Prism = 2(9 × 8 + 10 × 8 + 9 × 10)

= 2(72 + 80 + 90)

= 2(242)

= 484 square inches.

Step 2

Find the area of the Rectangular shaped wrapping paper

The wrapping paper has dimensions :

2 feet by 3 feet

We have to convert to inches first

1 foot = 12 inches

2 feet = 2 × 12 inches = 24 inches

3 feet = 3 × 12 inches = 36 inches

Area of the Rectangular shaped wrapping paper = Length × Width

= 24 inches × 36 inches

= 864 square inches

Step 3

We calculate the amount of square inches of wrapping paper left.

The Amount left over = Area of Rectangular wrapping paper - Area of Rectangular prism

= 864 square inches - 484 square inches

= 380 square inches.

Therefore, the square inches of wrapping paper left over is 380 square inches.

Answer:

Debbie would need to purchase 2 1-gallon bottles of juice.

Step-by-step explanation:

So we have 20 cups and each cup holds 10 fluid ounces. 20 times 10 equals 200 fluid ounces. We need to see how many fluid ounces are in 1 gallon. There are 128 fluid ounces in 1 gallon. 200 divided by 128 equals to 1.56 gallons. Debbie needs more than 1 gallon. Since we have a decimal and 1 is on the left of the decimal, Debbie would need to purchase 2 1-gallon bottles of juice.

Answer:

B

Step-by-step explanation:

If the figure is regular, then everyone of the central angles are equal. They add up to 360 degrees.

x + x + x + x + x + x + x = 360          Combine

7x = 360                                           Divide by 7

x = 360/7

x = 51.43

Step-by-step explanation:

18:27

=18/27

=2/3 or 2:3

Answer: trapezoid

Step-by-step explanation: A trapezoid is a quadrilateral

with exactly one pair of parallel sides.

Also, quadrilaterals are two-dimensional shapes.

So it's impossible that's its 3-d.

Answer:

A. trapezoid

Step-by-step explanation:

Answer: 45 45 90

Step-by-step explanation:

Answer:

See below for answers to both questions.

Step-by-step explanation:

Question 13)

We know that the perimeter is the sum of all of the side lengths of the square, and we know that a square has 4 sides that are all the same length.  This lets us set up the following equation:

4(10x + 6) = 74

To solve this equation, we should first distribute the 4 through the parentheses using the distributive property.

40x + 24 = 74

Next, we should subtract 24 from both sides of the equation.

40x = 50

Finally, we should divide both sides by 40.

x = 50/40 = 1.25

Therefore, the answer to question 13 is x = 1.25.

Question 14)

If we know the rectangle and triangle have the same perimeter, we can set up the following equation:

2(4x-1) + 2(x-1) = (4x + 1) + (3x + 5) + (x + 1)

We should begin by simplifying the left side of the equation using the distributive property, as we did above.

8x - 2 + 2x -2 = 4x + 1 + 3x + 5 + x + 1

Next, we can combine like terms on both sides of the equation.  This means adding together the constant terms (numbers) and also combining the variable terms (x's).  This is modeled below:

(8x + 2x) + (-2 + -2) = (4x + 3x + x) + (1 + 5 + 1)

10x - 4 = 8x + 7

Next, we should subtract 8x from both sides.

10x - 8x - 4 = 8x - 8x + 7

2x - 4 = 7

Next, we should add 4 to both sides.

2x - 4 + 4 = 7 +4

2x = 11

Finally, we should divide both sides by 2.

x = 11/2 = 5.5

The question asks us to find the perimeter, so we can use the perimeter of the rectangle:

10x - 4 = 10(5.5) - 4 = 51

Therefore, the answer is 51 units.

Hope this helps!

Answer:

A. H: mu1< mu2

Step-by-step explanation:

Given that :

Mean amount of time per domestic cars = mu1

Mean amount of time per foreign cars = mu2

Automobile technicians claim :

The mean amount of time (in hours) per domestic car repair is more than that of foreign cars. This will be the Null hypothesis.

Null hypothesis : mu1 > mu2

The alternative hypothesis will negate the Null hypothesis and will hence be the opposite. This can this be expressed as :

Alternative hypothesis : mu1 < mu2

Answer:

$233.39

Step-by-step explanation:

Pants = $82, 2 Shirts = $53 * 2, Shoes = $120

Add all these values up to find the total cost of your order excluding tax.

82 + 53(2) + 120 = 308

Next find the price w/ tax. Multiply 308 by 8.25%, or 0.0825.

308 * 0.0825 = 25.41

Now you add the tax to the total value.

308 + 25.41 = 333.41

The total value including tax is $333.41. The online retailer is offering a 30% savings (discount), so multiply the total price including tax by 30% (0.30).

333.41 * 0.30 = 100.023

Now you subtract the discount from the total price.

333.41 - 100.023 = 233.38700

The question say the answer rounded to the nearest cent or hundredths, so your final answer is 233.39.

The final price of the clothing including all discounts and taxes is $233.39.

Answer:

You have 1/60 of the original hair color left

Step-by-step explanation:

Add up the fractions

1/3 + 1/4 + 2/5

Get a common denominator of 60

1/3 * 20/20    + 1/4 * 15/15    + 2/5 * 12/12

20/60 + 15/60 + 24/60

59/60

The total is 1 or 60/60

60/60 - 59/60

1/60

You have 1/60 of the original hair color left

Answer:

r≈2.05

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Answer:

b= - 1.26317

a = 17.237

b. The selling price (in dollars) of a 7-year-old car

y =  8394.81 dollars

C.  For each additional year, the car decreases $ ___ in value.

1263.17 $ decreases per year

Step-by-step explanation:

Let y be the selling price in thousands and x be the age in years

Car         Age        Selling Price

             (years)           ($000)             XY                    X²  

                    X                 Y          

1                   9                  11.1              99.9                   81          

2                  5                  9.5              47.5                   25

3                 13                  4.4               57.2                 169

4                 17                  4.4               74.8                 289

5                 7                 8.06             56.42                49

6                1                   2.07            2.07                     1

7                  1                    0.6            0.6                      1

8                 14                  8.1              113.4                  196

9                12                   8.1              97.2                  144

10              17                    4.8             81.6                  289

11               4                     12.5           50                     16

12              4                      10.7            42.8                 16      

∑               97                    84.33          723.49            1276                

The estimated regression line of Y on X is

Y= a +bX

and the two normal equations are

∑ y= na + b∑X

∑XY= a∑X + b∑X²

Now

X`= ∑X/n = 97/12= 8.083

b= n∑XY - (∑X)(∑Y)/ n∑ X²- (∑X)²

b= 723.49 - (97)(84.33)/ 12(1276) - (97)²

b= -7456.52/ 5903

b= - 1.26317

a= Y`- b X`

a= 7.0275 - (-- 1.26317)8.083

a = 17.237

Y = 17.237  - 1.26317 X

y= - 1.26317 X + 17.237

b. The selling price (in dollars) of a 7-year-old car

y = - 1.26317 (7) + 17.237

y= 8.39481

y =  8394.81 dollars

C.  For each additional year, the car decreases $ ___ in value.

1.26317 *1000= 1263.17 $ decreases per year

Answer:

Option (2)

Step-by-step explanation:

Domain of a function is represented by the set of x-values (Input values) and Range of the function is represented by the set of y-values (Output values)

From the graph attached,

Given function is,

[tex]f(x)=\frac{x^2-x-6}{x+2}[/tex]

Domain of this function will be {x ∈ R | x ≠ -2}

[Since, point x = -2 doesn't lie on the given graph]

Range of the function will be {y ∈ R | y ≠ -5}  

Therefore, Option (2) will be the correct option.

Answer:

the correct answer is A

Step-by-step explanation:

just did it on edg

Answer:

765

Step-by-step explanation:

Hello, please consider the following.

[tex]10x^2+100x+1000=10(x^2+10x+100)\\\\=10((x+5)^2-25+100)\\\\=10(x+5)^2+750[/tex]

So, a = 10, b = 5, c = 750 and the sum is 765.

Thank you

Answer:

C

Step-by-step explanation:

-27 -(-38)

when you subtract a negative it turns into addition

-27+38

Answer:

c) -27 +38

Step-by-step explanation:

the reason is because when a number is in parentheses, especially if they are negatives, they become the opposite which in this case is + so -(-38) can be the same as saying -1 × -38 and since they are both negatives, the sign becomes positive and it's just 38 while the 27 isn't affected because there's nothing in front of it I hope I helped.

Answer:

$3.

Step-by-step explanation:

All you have to do is 9/3 = 3.