−x2 + x + 6 = 2x + 8 The equation is represented by the system shown here. Linear-Quadratic Equation This system intersects in place(s).

Answer:

Yes, Pythagorean theorem

Step-by-step explanation:

Yes, as by doing the Pythagorean theorem, a^2+b^2=c^2 you can confirm that it is.

8^2+15^2=17^2

64+225=17^2

289=17^2

(square root both sides)

17=17

complete question

the probability of taking a freshman seminar, if a student is a science major, is:

a) a total probability.

b) a conditional probability.

c) a complete probability.

d) a joint probability.

Answer:

B. Conditional probability

Step-by-step explanation:

In this given question, what we ant to do is to find the probability thst a student who is a science major is taking a freshman seminar. This clearly a case of conditional probability.

In a conditional probability, we are trying to find out the probability of an event occurring given that another event has already occurred. since the student is a science major, the probability of the student taking a freshman seminar is to be determined.

Answer:

x=-3

Step-by-step explanation:

The fraction of soil bags Will needs in total for all 5 raised garden beds is   9 3/8.

In mathematics, community is the study of how objects interact and relate to each other. It focuses on analyzing the relationships between elements and understanding how they interact to form each other. Also explore how changes in one element affect other elements. Community in mathematics is also about recognizing patterns, finding solutions, and exploring the impact of change. It is an integral part of mathematics and is used in many areas of study such as algebra, geometry, and calculus. This can be calculated by multiplying the number of raised beds (5) by the amount of soil required per raised bed.

(1 7/8 bag).

5 x 1 7/8

= 9 3/8 bags

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Answer:

(a) 552ft

(b) $220.8

Step-by-step explanation:

(a) TSA of cuboid = 2 (lb + bh + hl)

                        = 2 (12*8+8*9+9*12) = 2 ( 276) = 552 square feet.

(b) Cost of covering the box = $0.40 * 552 feet

                                          = $220.8

The total length needed in inches will be 490.5 inches.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long  The total length needed in inches will be:

= (3 ft 4 7/8 inch × 12)

Note that 1 feet = 12 inches

= (12 × 3) + (4 7/8) × 12

= (36 + 4.875) × 12

= 490.5 inches

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Answer:

147/572

Step-by-step explanation:

The number of combinations of  n  things chosen  r  at a time is

[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]  (Some writers use the symbol [tex]_nC_r[/tex])

Choose 4 women from the 7:

[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex]  ways

Choose 3 men from 9:

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex]  ways

There are 35 x 84 = 2940 ways to choose both, out of

[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.

Probability:

[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]

P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]

When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.

[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]

Answer:

B

Step-by-step explanation:

solution to the system is where they intercept

Answer:

231 employees

Step-by-step explanation:

The ratio of men to women working for the company is 6 to 5, which means that for every 5 women working at the company, there are 6 men working at the company.

Since there are 105 women working at the company,

there are 6/5 * 105 = 126 men working at the company.

In total, there are 126 men + 105 women = 231 employees working for the company.

Answer:

The average rate of change is 44.

Step by step:

FIRST STEP:

[tex]\frac{(294-118)}{(6-2)}[/tex]

SECOND STEP:

[tex]\frac{176}{4}[/tex] = 44

[tex]15 + \sqrt{5x - 5} = f(x)[/tex]

Replace y for x and vice versa

[tex]15 + \sqrt{5y - 5} = x[/tex]

Solve for y.

[tex]15 + 5y - 5 = {x}^{2} [/tex]

[tex]15 + 5y = {x}^{2} + 5[/tex]

[tex]5y = {x}^{2} - 10[/tex]

[tex]y = \frac{ {x}^{2} - 10 }{5} [/tex]

[tex]f {}^{ - 1} (x) = \frac{ {x}^{2} - 10 }{5} [/tex]

If

Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram.

The complete question is,

Which of the following attributes of a parallelogram leads to the conclusion that every square can be categorized as a parallelogram? Choose each option that applies.

four equal sides

two pairs of diametrically opposed equal angles

diagonals are cut in half.

two sets of parallel, opposed sides.

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Answer:

the answer is (b.)41.7cm²

the workings;;

9.2cm×4cm+5cm=41.8 or 41.7cm²

Answer:

she can fill 3 boxes completely and one book will be left over

Step-by-step explanation:

if a box can be filled with 4 book then we do 4 multiply 3 and then 12 books will can fill 3 box and there is 13 books so 1 book will be left over

Answer:

Kindly check explanation for (1)

2.)

B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.

Step-by-step explanation:

1.)

H0 : μ = 10290

H0 : μ > 10290

n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05

Test statistic:

(xbar - μ) ÷ (σ/√(n))

(10586 - 10290) ÷ (2509/√(153))

296 / 202.84062

Test statistic (Z) = 1.46

We obtain the Pvalue :

Decision Region :

Reject H0 ; if Pvalue < α

Pvalue from Z test statistic calculator :

Pvalue = 0.072

Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim

2.)

H0 : μ = 10290

H0 : μ > 10290

n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02

Test statistic:

(xbar - μ) ÷ (σ/√(n))

(10446 - 10290) ÷ (2509/√(153))

156 / 202.84062

Test statistic (Z) = 0.769

We obtain the Pvalue :

Decision Region :

Reject H0 ; if Pvalue < α

Pvalue from Z test statistic calculator :

Pvalue = 0.221

Pvalue > α ; Hence, we fail to reject the Null ;

B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.

Answer:

220

Step-by-step explanation:

formula for area of a triangle is 1/2 base times height in this case thats 1/2(10X6)  which is 30 sense there are 4 multiply 30 by 4 to get 120  then add that to the area of a square which is 10X10 or a hundred to get 220

Answer:

27y - 45 + 7z

Answer:

You would first divide the amount of months by the total amount of money that she has earned in 5 months.

(You put down 25, 00, 000 so Ima just write it as 2,500,000)

25,000,000/5 = 5,000,000

She earns 5,000,000 a month, and would earn 60,000,000 per year.

Anual salary is how much money you would earn per year, so the answer is 60,000,000. (sixty million).

Step-by-step explanation:

Hope it helps! =D

Answer:

hypotenuse

Step-by-step explanation:

Answer:

I believe it is D hypotenuse

Step-by-step explanation:

In geometry, a hypotenuse is the longest side of a right-angled triangle.

Answer:

This is the right answer.

Answer:

[tex]x^{3}-5x^{2}+2x+8[/tex]

Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).

An equation is a mathematical representation of two identical variables, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra is the fundamental building block of mathematics.

Here,

[tex](x + 2)^{2}[/tex] / [tex]a^{2}[/tex] +  [tex](y-5)^{2}[/tex] /[tex]b^{2}[/tex] -=1 is (h, k).

the ellipse's nucleus

The major axis is the larger of the two axes, which are 2a and 26.

(H, a, k) and (H, k, b) are the vertices. Vertices are those along the major axis in this case, and covertices are those along the minor axis.

[tex](x + 2)^{2}[/tex]/16 + [tex](y-5)^{2}[/tex] /20 =1

can be written as

[tex](x + 2)^{2}[/tex]/ [tex]4^{2}[/tex]   +       [tex](y-5)^{2}[/tex] /(2√/5)2

hence centre is (-2, 5), maor axis is 2 x 2√√5 = 4√√5 and minor axis

is 2 x 4 = 8

Vertices are ( 2,5 25), or ( 2,5 25) and ( 2,5 + 25), while covertices are ( 2 4, 5) and ( 6,5), respectively.

As a result of the presence of a vertical major axis, eccentricity e and focii are

(h, k ± be). e is given by the relation a2 = b2(1 − e2) i.e.

=> e = [tex]\sqrt{1 - \frac{a^{2} }{b^{2}} }[/tex]

 a2= 16 and b2= 62

=> e = 1/√5

Focii (-2,5 ± (2√5 x 1/√5)

or (-2,5±2) i.e. (-2, 7) and (-2, 3).

Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).

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Answer:

Step-by-step explanation:

3

Step-by-step explanation:

please refer to sketch for detail

The experimental probability of spinning a white or yellow is 7/20

From the question, we have the following parameters that can be used in our computation:

Outcomes of experiments

The outcomes of experiments are given as

yellow / 5

blue / 12

green / 8

white / 9

red / 6

The experimental probability of spinning a white or yellow can be calculated using the following equation

P(White or Yellow) =P(White) + P(Yellow)

Substitute the known values in the above equation, so, we have the following representation

P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)

Evaluate the sum

P(White or Yellow) = 14/40

Simplify

P(White or Yellow) = 7/20

Hence, the probability is 7/20

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Answer:

Step-by-step explanation:

Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.

1. The retail store should not change its staffing arrangement.

2. Changing the staffing arrangement may not favor the retail store.

Data and Calculations:

                                             8:00 am &   12:00 pm &   4:00 pm &   8:00 pm &

                                              12:00 pm       4:00 pm      8:00 pm      midnight

Expected % of customers        32%             21%              35%                12%

Actual number of customers  214               198              276                  134

Total Number of customers = 822 (214 + 198 + 276 + 134)

Actual % of customers            26%             24%             34%                 16%

Difference between expected percentage of

 customers and actual           6%                3%                1%                  -4%

Variation                                 0.36%           0.09%         0.01%            0.16%

Sum of variation = 0.62%

Standard Deviation = 0.787

Thus, based on the standard deviation, the store should not change its staffing.

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Answer:

23.16

Step-by-step explanation:

Answer:

F = ( 9/5) X c + 32

Step-by-step explanation:

Answer:

The golf ball is 2 times a likely to be orange as it is to be pink

Step-by-step explanation:

A. green = 18, pink+white+orange = 23

    18 not > 23

B. pink [tex]\neq[/tex] white [tex]\neq[/tex] orange [tex]\neq[/tex] green

C. pink x 2 = orange?

    4 x 2 = 8

D. white x 7 = green?

    white = 11

     green = 18

   11 x 7 = 77 [tex]\neq[/tex] 18

Answer:

33.3% that the marble is not yellow