Solve the inequality.
-3(x-1) > -3x - 2​

Answer:

20.58

Step-by-step explanation:

Force A = 16 pounds

direction = N75E = 75° in the first quadrant

Force B = 20 pounds

direction = S20E = 180° - 20° = 160° in the fourth quadrants

we resolve the forces into their x and y resultant forces.

For the y axis forces,

-(16 x sin 75°) + (20 x sin 160°) = Fy

-15.45 + 6.84 = Fy

Fy = -8.61 N

For the x axis forces'

(16 x cos 75°) + (20 x cos 160°) = Fx

-4.14 - 18.79 = Fx

Fx = -22.93 N

Resultant force = [tex]\sqrt{(Fx)^{2} + (Fy)^{2} }[/tex] =  [tex]\sqrt{(-8.61)^{2} + (-22.93)^{2} }[/tex]

Resultant force = 24.49 N

angle made by the resultant force is,

∅ = [tex]tan^{-1}[/tex] [tex]\frac{Fy}{Fx}}[/tex]

∅  =  [tex]tan^{-1}[/tex] [tex]\frac{-8.61}{-22.93}}[/tex]

∅ =  [tex]tan^{-1}[/tex] 0.3755

∅ = 20.58

Answer:

-The total area of a Rectangular Prism:

[tex]A = 366[/tex] [tex]in^{2}[/tex]

Step-by-step explanation:

-To find the total area of a rectangular prism, you need this formula:

[tex]A = 2(l \cdot w + l \cdot h + w \cdot h)[/tex]

[tex]l =[/tex] Length

[tex]w =[/tex] Width

[tex]h =[/tex] Height

-Apply the length, width and height for the formula:

[tex]A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)[/tex]

[tex]l =[/tex] 11 in

[tex]w =[/tex] 8 in

[tex]h =[/tex] 5 in

-Then, solve for the area:

[tex]A = 2(11 \cdot 8 + 11 \cdot 5 + 8 \cdot 5)[/tex]

[tex]A = 2(88 + 55 + 40)[/tex]

[tex]A = 2(143 + 40)[/tex]

[tex]A = 2 \times 183[/tex]

[tex]A = 366[/tex]

So, the total area would be [tex]366[/tex] [tex]in ^{2}[/tex].

Answer:

<1 = 91

Step-by-step explanation:

<2 + <3 = 180

5 x + 14 +  (7 x -14) = 180

Combine like terms

12x = 180

Divide by 12

12x/12 = 180/12

x =15

We want <1

<1 = <3 since they are vertical angle

<1 = 7x-14 = 7*15 -14 =105-14=91

Answer:

D, 91 degrees

Step-by-step explanation:

First, solve for x. Angles 2 and 3 add up to 180, so set up an equation:

(5x + 14) + (7x - 14) = 180

12x = 180

x = 15

Then, you know angles 1 and 2 also add up to 180, so solve for Angle 2

5(15) + 14= 89

180-89= 91, so angle 1 is 91 degrees.

Answer:

2/5

Step-by-step explanation:

First you want to find the least common denominator, which in this case would be 15. If you multiply 2/5 by 3, you get 6/15 which is less than 7/15

Answer:

2/5

Step-by-step explanation:

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

[tex]D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8[/tex]

Total outcomes:

Two members from a set of 2 + 4 = 6. So

[tex]T = C_{6,2} = \frac{6!}{2!4!} = 15[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{8}{15} = 0.5333[/tex]

53.33% probability that one woman and one man will be chosen to be on the committee

Answer:

20 total

Shelves 3 shelves /20 total=0.15=15%

Signs 2/20=0.10=10%

Benches 6/20=0.30=30%

Tablet Holders 9/20=0.45=45%

Step-by-step explanation:

Answer:

Shelves: 15%

Signs: 10%

Benches: 30%

Tablet Holders: 45%

Step-by-step explanation:

Shelves: [tex]\frac{3}{3+2+6+9} =\frac{3}{20} =\frac{15}{100} =[/tex] 15%

Signs: [tex]\frac{2}{3+2+6+9} =\frac{2}{20} =\frac{10}{100} =[/tex] 10%

Benches: [tex]\frac{6}{3+2+6+9} =\frac{6}{20} =\frac{30}{100}=[/tex] 30%

Tablet Holders: [tex]\frac{9}{3+2+6+9} =\frac{9}{20} =\frac{45}{100} =[/tex] 45%

Answer:

0.902 = 90.2% probability that the flight would leave on time when it is not raining

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Not raining

Event B: Flight leaving on time.

The probability that it will rain is  0.18.

This means that there is a 1 - 0.18 = 0.82 probability of not raining. So [tex]P(A) = 0.82[/tex]

The probability that it  will not rain and the flight will leave on time is 0.74.

This means that [tex]P(A \cap B) = 0.74[/tex]

What is the probability that the  flight would leave on time when it is not raining?

[tex]P(B|A) = \frac{0.74}{0.82} = 0.902[/tex]

0.902 = 90.2% probability that the flight would leave on time when it is not raining

Answer:

[tex] m =\frac{1098.56-694.55}{8-5}= 134.67[/tex]

And we can find the intercept like this:

[tex] 694.55 = 134.67*5 +b[/tex]

[tex] b = 694.55 -673.35= 21.2[/tex]

And the equation would be given by:

[tex] C = 134.67 w + 21.2[/tex]

Step-by-step explanation:

For this case we want a function given by:

[tex] C = mw +b[/tex]

Where C is the cost, m the slope, w the weight and b the intercept.

We have the following info (w=5, C= 694.55) and (w=8, C=1098.56) and we can find the slope with this formula:

[tex] m =\frac{1098.56-694.55}{8-5}= 134.67[/tex]

And we can find the intercept like this:

[tex] 694.55 = 134.67*5 +b[/tex]

[tex] b = 694.55 -673.35= 21.2[/tex]

And the equation would be given by:

[tex] C = 134.67 w + 21.2[/tex]

A linear function is a function that changes at a constant rate.

The formula of the linear relationship is [tex]C = 134.67w + 21.2[/tex]

The given parameters are:

Start by calculating the slope (m)

[tex]m = \frac{C_2 - C_1}{w_2 - w_1}[/tex]

This gives

[tex]m = \frac{1098.56 - 694.55 }{8- 5}[/tex]

Simplify

[tex]m = \frac{404.01}{3}[/tex]

This gives

[tex]m = 134.67[/tex]

The equation is then calculated as:

[tex]C = m(w -w_1) + w_1[/tex]

This gives

[tex]C = 134.67(w -5) + 694.55[/tex]

Expand

[tex]C = 134.67w -673.35 + 694.55[/tex]

[tex]C = 134.67w + 21.2[/tex]

Hence, the formula of the linear relationship is [tex]C = 134.67w + 21.2[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

53.57%

Step-by-step explanation:

We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :

# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)

 = 10 * 3 = 30

That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.

# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56

That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:

P (3 girls and 2 boys) = 30/56 = 0.5357

Which means that the probability is 53.57%

Answer:

Actually, the correct answer for plato users is option D

Step-by-step explanation:

D.  0.821

Answer:

-3

Step-by-step explanation:

-(absolute value of -3)

-(3)

-3

Answer:

  IV

Step-by-step explanation:

Cosine is positive in quadrants I and IV.

Cosecant (also sine) is negative in quadrants III and IV.

The quadrant where cos > 0 and csc < 0 is quadrant IV.

Answer:

25 degrees

Step-by-step explanation:

The value of an exterior angle is the difference between the two arcs that it forms divide by two. Therefore:

[tex]x+10=\dfrac{146-(6x+6)}{2}[/tex]

Multiply both sides by 2:

[tex]2x+20=146-6x-6[/tex]

Move all of the x's to one side:

[tex]8x+20=146-6[/tex]

Combine all of the constants on the other side:

[tex]8x=120[/tex]

Divide both sides by 8:

[tex]x=15[/tex]

Therefore, ECB=x+10=15+10=25 degrees.

Hope this helps!

Answer:

$273

Step-by-step explanation:

$3900= 100%

$39 = 1%

39(1%)*7= $273 (7%)

The commission will he received should be $273

Given that,

= 7% of $3,900

= $273

Find out more information about percentage here:

https://brainly.com/question/26080842?referrer=searchResults

Answer:

3,380 combinations

Step-by-step explanation:

26*5*26= 3,380

Answer:

3380

Step-by-step explanation:

Since there are 26 letters, it would be

26*5*26

This is 3380

Answer:2

Step-by-step explanation: 9+1+2=12

12\3=4

ANSWER : 2

Answer:

y=-1/4x -1

Step-by-step explanation:

y-y1 = -1/4(x1-x)

y-(-4) = -1/4(x-(-3)

y+4 = -1/4x +3

y=-1/4x-1

Answer:

ln 4

Step-by-step explanation:

plus(+) will become times and minus(-)will become divide. Combine all together as all are in terms of ln

ln (2x8)/4

=ln 4

Answer: In 4

Step-by-step explanation: edge 2021

Answer:

2 times some thing and plus 3 equals -7

Step-by-step explanation:

x = -5

Answer:

2 liters of paint.

Step-by-step explanation:

First we nned to know to total area of the wall by using the formula A = lw

A = 4*5 = 20m²

then we given 1 liter cover 10 m², 20 m² = 2 liters of paint.

Answer:

False.

The null hypothesis failed to be rejected.

At a significance level of 5%, there is not enough evidence to support the claim that the entering class has a mean SAT score that is significantly lower than 1520.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the entering class has a mean SAT score that is significantly lower than 1520.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=1520\\\\H_a:\mu< 1520[/tex]

The significance level is 0.05.

The sample has a size n=20.

The sample mean is M=1501.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=53.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{53}{\sqrt{20}}=11.851[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1501-1520}{11.851}=\dfrac{-19}{11.851}=-1.6[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=20-1=19[/tex]

This test is a left-tailed test, with 19 degrees of freedom and t=-1.6, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-1.6)=0.063[/tex]

As the P-value (0.063) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the entering class has a mean SAT score that is significantly lower than 1520.

Answer: (-∞, 2)∪(2, 3]∪(4, ∞)

Step-by-step explanation:

Domain is the allowed x values in the function. The numerator, x + 1 will be defined for all numbers. But that fraction wont be, the minute that fractions denominator is equal to zero, your entire function becomes undefined.

So lets figure out what number will make this undefined. Then we'll know the functions domain is everywhere but that x value.

Make x^2 - 6x + 8 = 0

What two numbers multiply to equal +8 but add to equal -6? Thats -4 and -2.

(x - 4)(x - 2) = 0 This means the function is undefined when x equals 4 and 2

(-∞, 2)∪(2, 3]∪(4, ∞)

Answer:

D Edg

Step-by-step explanation:

all real numbers except 2 and 4

Answer:

Discount = $45

Final = $255

Step-by-step explanation:

First you would multiply $300 by .85. (You do this because your only paying for 85% of the computer) to get the final price

$255

In order to get the discount amount you would subtract 300 by 255 to get

$45

Answer:

0.2946

Step-by-step explanation:

Number of tosses, n = 200

P(obtaining a 5), p = 1/6

q = 1 - p = 5/6

Normal approximation for binomial distribution

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = np

= 200 x 1/6

= 33.33

Standard deviation = √npq

= √(200(1/6)(5/6) )

= 5.27

P(at most 30 fives) = P(X ≤ 30)

= P(Z < (30.5 - 33.33)/5.27) (continuity correction of 0.5 is added to 30)

= P(Z < -0.54)

= 0.2946

Answer:

8/9

Step-by-step explanation:

1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles = 18 marbles

The number that are not yellow = total - yellow

P( not yellow) = number that are not yellow / total

                       = (18-2) / 18

                       = 16/18

                       =8/9

Answer:

Step-by-step explanation:

a) sum of 100 can be achieved from following set of score

10,40,50. This score can be achieved in 3! ways

20,30,50. This score can be achieved in 3! ways

20,40,40. This score can be achieved in 4 ways

30,30,40. This score can be achieved in 4 ways

So,

P(score of 100)=

Answer:

Variable y represent the rent of Pamela

Step-by-step explanation:

Given

Pamela pays tuition every semester and rent every month, and she uses cash daily for food.

lets understand what constitute semester ,  month and day in a year.

A semester consist of 6 months.

As a year has 12 months , a year will have 2 semester.

If one pays  x for one semester then in a year one has to pay 2x .

As a year has two semester

Similarly

A year has 12 months .

If one pays  y for one month then in a year one has to pay 12y .

As a A year has 12 months .

A year has 365 days

If one pays  z for each month then in a year one has to pay 365z .

As a A year has 365 days.

__________________________________________

Based on above discussion , we can now safely assume that the we have to look at the coefficient of  expression 2x+12y+365z to find the which variable represent which type of bill.

As we have to find variable for rent and rent is paid monthly.

so for a year total bill will have 12 months and hence going by expression variable y represent the rent of Pamela.

Answer:

.66

Step-by-step explanation:

1minus .34

Correct me if I am wrong

Sequence= 4, 16

Difference=12

16+12=28

Answer is...

33+33=28

Answer:

work is shown and pictured