Please show your work.
(x^2 + 9x - 3) + (5x^2 - 7x - 4) + (2x^3 + x + 1)=

Answer:

quotient is the answer to division. So if 7/2=3 with a remainder of 1, then the quotient is 3

Answer:

6

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Angle on a straight line = 180

106 + ∠st = 180

∠st = 180 - 106 = 74

x = ∠st + 23

= 74 + 23

= 97

Answer:

51 degrees

Step-by-step explanation:

This is a scalene triangle. Which means it sums up to 180 degrees. Therefore, you have to add up all the degrees to 180. 106+23 is 129, and 180 - 129 is 51.

Answer:

x < -15

Step-by-step explanation:

x/-5 > 3

x > 3 * (-5)

x > -15

Answer:

C is because it doesn't have any repeating x-values or y-values

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°. The bisectors of all the three interior angles intersect inside a triangle at a point called the in-center, which is the center of the in-circle of the triangle.

Answer:

0.1529

Step-by-step explanation:

Given that:

Probability of changing lane ; p = 45% = 0.45

Sample size (number of trials) = n = 7

Probability that atleast 5 vehicles will change lane :

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

(1 - p) = 1 - 0.45 = 0.55

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x = 5) = 7C5 * 0.45^5 * 0.55^2

P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221

P(x = 6) = 7C6 * 0.45^6 * 0.55^1

P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969

P(x = 7) = 7C7 * 0.45^7 * 0.55^0

P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736

P(x ≥ 5) = 0.152926

P(x ≥ 5) = 0.1529

Using the binomial distribution, it is found that there is a 0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.

For each vehicle, there are only two possible outcomes, either they change lanes while making a turn, or they do not. The probability of a vehicle changing lanes while making a turn is independent of any other vehicle, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

The parameters are:

In this problem:

The probability that at least 5 vehicles will change lanes while making the turn is:

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.45)^{5}.(0.55)^{2} = 0.1172[/tex]

[tex]P(X = 6) = C_{7,6}.(0.45)^{6}.(0.55)^{1} = 0.0320[/tex]

[tex]P(X = 7) = C_{7,7}.(0.45)^{7}.(0.55)^{0} = 0.0037[/tex]

Then

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1172 + 0.0320 + 0.0037 = 0.1529[/tex]

0.1529 = 15.29% probability that a least 5 vehicles will change lanes while making the turn.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

The median increased more

Step-by-step explanation:

Given that:

Scores on last 15 :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72

Obtaining the range, mean, median and mode from the data above :

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84

Range = 84 - 64 = 16

Mode = 72 - frequency of 3)

Mean = ΣX / n where n = sample size

Mean = 1140 / 15 = 76

Median = 0.5(n+1)th term = 0.5(16)th term =

8th term = 75

A score of 80 on each of next 3 rounds :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84

Range = 84 - 68 = 16

Mean = ΣX / n where n = sample size

Mean = 1380 / 18 = 76.67

Median =0.5(n+1)th term = 0.5(19)th term =

9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5

Answer:

Distributive property of multiplication

Step-by-step explanation:

The distributive property of multiplication is basically distributing the terms outside the bracket to all the terms inside the bracket. In this case, 4 is multiplied to 5a as well as 3.

Answer:

97%

Step-by-step explanation:

If you get 100% on a test, you got all the answers correct.

It doesn't matter how many questions there are. If you got all of them correct, you get 100%.

What if you have 100 questions on a test?

If you got 85 questions correct, on a 100 question test, your grade would be 85%.

If you got 35 questions correct, on a 100 question test, your grade would be 35%.

If you got 98 questions correct, on a 100 question test, your grade would be 98%.

If you count 100 trees, and 97 of them were evergreen, the percentage of trees that are evergreen would be 97%.

Answer: 2800 dollars in intrest

Step-by-step explanation:

Answer:

A. Dennis can complete less than 24 questions.

Step-by-step explanation:

Let x represent the remaining number of questions to be completed.  He can complete each of them in 5/2 minutes each; this gives us the expression 5/2x.

He has already spent 10 minutes; this gives us 5/2x+10.

He has less than 70 minutes to spend; this gives us the inequality

5/2x+10<70

Subtract 10 from each side:

5/2x+10-10 < 70-10

5/2x < 60

Divide both sides by 5/2:

5/2x÷5/2 < 60÷5/2

x < 60/1 ÷ 5/2

To divide fractions, flip the second one and multiply:

x < 60/1 × 2/5

x < 120/5

x < 24

Answer:

Dennis can complete fewer than 24 questions.

Step-by-step explanation:

Answer:

the answer is 40

Step-by-step explanation:

15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40

Answer:

40

Step-by-step explanation:

15.23 + 12.8 + 4.93 + 7.21

27.31 + 12.34

39.65

round the number to a whole number

40

Answer:

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Hope that helped happy holidays!

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Multiply the numbers as though they were integers, then mark off a number of decimal places in the product equal to the total number of decimal places in the numbers being multiplied (1).

Answer:

h = -2

Step-by-step explanation:

Just plug it into a calculator

Answer:

h=-2

Step-by-step explanation:

1/3h = -2/3

To find the h divide both sides by 1/3.

1/3h÷1/3 = -2/3÷1/3

h=-2

Answer:

.....yes

Step-by-step explanation:

Answer:

A) $15

B) 8

C) $25

Step-by-step explanation:

Answer:

Step-by-step explanation:

32 out of 40 did not show

8 out of 40 did show

When you ask "What is 8 out of 40?" you want to know what percent 8 is out of 40.

Here are step-by-step instructions showing you how we calculated 8 out of 40 as a percentage:

The first step is to divide 8 by 40 to get the answer in decimal form:

8 / 40 = 0.2000

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.2000 * 100 = 20.00%

Answer:

20 %

Step-by-step explanation:

Answer:

I can’t see the picture!

Step-by-step explanation:

Answer:

i dont think so.

Step-by-step explanation:

Answer:

There were 30 questions on the test so she got 3 questions wrong.

Step-by-step explanation:

Given that:

Correct answers by Emma = 27

Percentage of correct answers = 90%

Let,

x be the total number of questions on test

90% of x = 27

[tex]\frac{90}{100}x=27[/tex]

[tex]0.9x=27[/tex]

Dividing both sides by 0.9

[tex]\frac{0.9x}{0.9}=\frac{27}{0.9}\\x=30[/tex]

There were 30 questions on the test.

Wrong answers = Total questions - Correct answers

Wrong answers = 30-27 = 3

Hence,

There were 30 questions on the test so she got 3 questions wrong.

Answer:

tTe answer is 1.96%

Step-by-step explanation:

given data

change in price/gain= $1.86

the closing price = $94.86

Required.

The percent rise.

Step two:

The formula for the percent rise is

=change/close price*100

substitute our given data

= 1.86/94.86*100

=0.0196*100

=1.96%

Answer:

slope intercept form

Step-by-step explanation:

that's what ax + by = c is

Answer:

D.) it was 54 degrees Fahrenheit when the temperature was first measured, and it is dropping by 5 degrees per hour

Step-by-step explanation:

I took the quiz

Answer:

D

Step-by-step explanation:

I took the test

Answer:

$3.11

Step-by-step explanation:

It is given that,

Salvador bought 6 lbs of coffee for $18.66.

We need to find the unit price per pound.

The unit price per pound is calculated by dividing total cost by 6 as follows :

[tex]C=\dfrac{18.66}{6}\\\\=\$3.11[/tex]

Hence, the unit price per pound is $3.11

Answer:

The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

Step-by-step explanation:

Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:

70 x 1 + 25 x 0 = 70

70 x 0.9 + 25 x 0.1 = 65.5

70 x 0.8 + 25 x 0.2 = 61

70 x 0.7 + 25 x 0.3 = 56.5

Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.

70 x 0.75 + 25 x 0.25 = 58.75

70 x 0.76 + 25 x 0.24 = 59.2

70 x 0.77 + 25 x 0.23 = 59.65

70 x 0.78 + 25 x 0.22 = 60.1

Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.

70 x 0.778 + 25 x 0.222 = 60.01

Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

Answer: B

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 33/4

Interval Notation:

(− ∞, 33/4)