What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a

Answer:

Step-by-step explanation:

let sum of zeros=s

and product of zeros=p

then quadratic equation is x²-sx+p=0

x²-(-1/2)x+(-3)=0

x²+1/2 x-3=0

2x²+x-6=0

90% of 18% = .9*.18 = 0.162 = 16.2%

So 18 - 16.2 = 1.8 = 18% of them labeled as not defective  

are actually defective.

Please mark me brainliest!

Answer:

1.8%

Step-by-step explanation:

90% × 18% = 16.2%

18% - 16.2% = 1.8%

1.8% is the probability of an incorrect conclusion.

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Edge 2021

Answer:

x2 = 60

Step-by-step explanation:

If the variables x and y are inversely proportional, the product x * y is a constant.

So using x1 and y1 we can find the value of this constant:

[tex]x1 * y1 = k[/tex]

[tex]12 * 15 = k[/tex]

[tex]k = 180[/tex]

Now, we can use the same constant to find x2:

[tex]x2 * y2 = k[/tex]

[tex]x2 * 3 = 180[/tex]

[tex]x2 = 180 / 3 = 60[/tex]

So the value of x2 is 60.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Every day, Jorge buys a lottery ticket. Each ticket has a 0.16 probability of winning a prize. After six days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.

Answer:

The probability that Jorge has won at least one prize after six days is

P(at least 1 win) = 0.6487

Step-by-step explanation:

Every day, Jorge buys a lottery ticket which has a 0.16 chance of winning a prize.

We want to find out the probability that Jorge has won at least one prize after six days.

P(at least 1 win) = 1 - P(not winning for 6 days)

We know that the probability of winning is 0.16 then the probability of not winning is

P(not winning) = 1 - 0.16 = 0.84

For 6 days,

P(not winning for 6 days) = 0.84×0.84×0.84×0.84×0.84×0.84

P(not winning for 6 days) = 0.84⁶

P(not winning for 6 days) = 0.3513

Finally,

P(at least 1 win) = 1 - P(not winning for 6 days)

P(at least 1 win) = 1 - 0.3513

P(at least 1 win) = 0.6487

The probability that Jorge has won at least one prize is 0.6487.

From the information given, the probability of not winning is given as 0.84.

Therefore, the probability of not winning for 6 days will be:

= 0.84 × 0.84 × 0.84 × 0.84 × 0.84 × 0.84

= 0.3513

Therefore, the probability that Jorge has won at least one prize will be:

= 1 - 0.3513

= 0.6487

In conclusion, the probability that Jorge has won at least one prize is 0.6487.

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Answer:

We have 300 edges and 200 vertices

Step-by-step explanation:

A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.

In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.

We will solve this by Euler’s formula which ks:

V - E + F = 2

where;

V is the number of vertices (corners),

E is the number of edges

F is the number of faces (of any polyhedron).

Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .

The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.

Total number of edges is;

E = 100 + 100 + 100 = 300.

Thus, we have 300 edges and 200 vertices

Answer: 108

Step-by-step explanation:

Given that the ratio of men to women is 5:4.

Let x be the total employees then,

Men = x*5/9

135 = x*5/9

x = 135*9/5

The total employees are 243

Women are 243 - 135 = 108

Answer:

[tex]f(x) = 86(1.0257)^{x}[/tex]

Step-by-step explanation:

The growth of the function after t days can be modeled by the following function:

[tex]f(x) = f(0)(1 + \frac{r}{7})^{x}[/tex]

In which f(0) is the initial value and r is the weekly rate. Since a week has 7 days, to find the equation for the daily growth, we divide by 7.

In this question:

We have that [tex]f(0) = 86, r = 0.18[/tex]

So

[tex]f(x) = f(0)(1 + \frac{r}{7})^{x}[/tex]

[tex]f(x) = 86(1 + \frac{0.18}{7})^{x}[/tex]

[tex]f(x) = 86(1.0257)^{x}[/tex]

Answer:

Option (A)

Step-by-step explanation:

The given expression is,

[tex](5^{-2}\times 4^{-4})^{-2}[/tex]

Since [tex]x^{-1}=\frac{1}{x}[/tex] and [tex]\frac{1}{x^{-1}}=x[/tex]

[tex]5^{2}=\frac{1}{5^{-2}}[/tex]

[tex]4^{2}=\frac{1}{4^{-2}}[/tex]

Therefore, [tex](5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}[/tex]

                                         [tex]=\frac{1}{(5^{-2})^2\times (4^{-4})^2}[/tex]

                                         [tex]=\frac{1}{5^{-4}\times 4^{-8}}[/tex]

                                         [tex]=\frac{1}{5^{-4}}\times \frac{1}{4^{-8}}[/tex]

                                         [tex]=5^{4}\times 4^{8}[/tex]                            

Option (A) will be the answer.                                          

Answer:

yes, as long as k is an odd number

Step-by-step explanation:

if k is odd integer

k+10 k +12 K+14 are all odd integer

if k is even integer

k+10 k +12 K+14 are all even integer

hope this helps

Answer:

I think its 18, because if there's 2 boys to 1 girl then if there's 18 girls then there is an equivalent 18 boys to match, plus another 18, which would put the ratio of boy to girl at 2:1

Step-by-step explanation:

Answer:

  3 hours 20 minutes

Step-by-step explanation:

Together, the workers can assemble 9 + 6 = 15 products per hour. So the assembly of 50 products will take ...

  (50 products)/(15 products/hour) = 50/15 hours = 3 1/3 hours

The two workers can assemble 50 products in 3 1/3 hours.

Answer:

m∠AOC= 120°

, m∠BOD = 130°

m∠COE = 110°

m∠COD.= 60°

Step-by-step explanation:

Let's note that

AOF = COD= 60°

BOC = FOE= 70°

AOB = DOE= 50°

Given: m∠AOB=50°, m∠FOE=70°. m∠AOC

, m∠BOD,

m∠COE

m∠COD. = AOF = (360-(2(70)+2(50)))/2

AOF = (360-240)/2

AOF = 120/2

AOF = 60°= COD

COE = COD+DOE= 60+50= 110°

BOD = BOC + COD = 70+60= 130°

AOC = AOB + BOC = 50+70 = 120°

Answer:

105

Step-by-step explanation:

1h and 15 minutes is 75 minutes so

30+75=

70+30=100

100+5=105

Answer:

105

Step-by-step explanation:

I copied the other dude

Answer:1260

Step-by-step explanation:

Kissing has 7 letters, and there are 2 paris of the same letter.

[tex]\frac{7!}{2!2!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{4}[/tex]= 1260

Answer:

The answer is A) -9.7 > -18.2

Step-by-step explanation:

This is because, when you are thinking about negative numbers, the closer they are to 0, the greater they are. So, it is warmer in Minnesota.

Answer:

A and A

Step-by-step explanation:

Answer:

<1 = 78

Step-by-step explanation:

<1 and 102 are supplementary angles so they add to 180 degrees

<1 + 102 = 180

Subtract 102 from each side

<1 + 102 -102 = 180-102

<1 = 78

Answer:

0.169

Step-by-step explanation:

This is a question on binomial distribution where we only have two outcomes: success or failure

Binomial distribution formula:

P(X= x) = n!/[x!(n-x)!] p^x × q^(n-x)

n is the number of questions in the quiz n = 6

Probability of guessing a correct number = probability of success = p

We told each question has 4 options in which one is correct.

The probability of guessing a correct answer = p= 1/4

p = 0.25

q = 1-p = 1-0.25

q = 0.75

Probability that Richard will answer at least half the questions correctly = P(X≥3)

P(X≥3) = P(X=3) +P(X=4) +P(X=5) +P(X=6)

See attachment for details

P(X≥3) = 0.01318 + 0.0330 + 0.0044 + 0.0002

P(X≥3) = 0.1694

The probability that Richard will answer at least half the questions correctly = 0.169

Answer:

Brainleist!

Step-by-step explanation:

12/3.5

3.42857142857

round down so its 3!

Answer:

C.

Step-by-step explanation:

Perpendicular ⇒ So the slope will be the negative reciprocal to this slope

Slope = m = 2

Point = (x,y) = (4,-8)

So, x = 4, y = -8

Putting in the slope-intercept form

[tex]y = mx+b[/tex]

-8 = (2)(4) + b

b = -8-8

b = -16

Now we'll put it in the slope-intercept form

y = 2x-16

=> y = 2x-8-8

=> y+8 = 2(x-4)

Answer:

9.42 in²

Step-by-step explanation:

The area of whole circle S=pi*R²    , where pi is appr. 3.14,  R= 6 in

S= 3.14*6² =113.04 in²

The area of smaller sector is Ssec=S/360*30=113,04/12=9.42 in²

The area of the smaller sector with a central angle of 30 degrees and a radius of 6 inches is 9.42478 square inches.

To find the area of a sector, you can use the formula:

Area of sector = (θ/360) × π × r²

where θ is the central angle in degrees, r is the radius of the sector.

The central angle is 30 degrees and the radius is 6 inches.

Plugging these values into the formula:

Area of sector = (30/360) × π × 6²

= (1/12) × π × 36

= (1/12) × 3.14159 × 36

= 9.42478 square inches

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Answer:

98

Step-by-step explanation:

Z as Zach; W as Wendy; L as Lee; C as Chen

We know that average score of Z,W, and L is 91, so:

(z + w + l)/3 = 91

z + w + l = 273

Average score W, L, C = 89, so:

(w + l + c)/3 = 89

w + l + c = 267

We take both:

(z + w + l) – (w + l + c) = 273 – 267

z – c = 6

Average score Z and C = 95

(z + c)/2 = 95

z + c = 190

(z + c) – (z – c) = 184

2c = 184

c = 92

z + c = 190

z + 92 = 190

z = 98

So, Zachs score is 98

The question is incomplete! the complete question along with answer and step by step explanation is provided below.

Question:

A researcher records the repair cost for 8 randomly selected refrigerators. A sample mean of $57.89 and standard deviation of $23.69 are subsequently computed. Determine the 95% confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal.

Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 2 of 2 : Construct the 95% confidence interval. Round your answer to two decimal places.

Given Information:  

Sample mean repair cost  = $57.89

Sample standard deviation = σ = $23.69

Sample size = 8

Confidence level = 95%

Required Information:  

step 1: critical value = ?

step 2: 95% confidence interval = ?

Answer:

step 1: critical value = 2.365

step 2: 95% confidence interval = ($38.08, $77.70)

Step-by-step explanation:

Since the sample size is less than 30 and the standard deviation of the population is also unknown therefore, we can use the t-distribution to find the required confidence interval.

The confidence interval is given by

[tex]CI = \bar{x} \pm MoE\\\\[/tex]

Where [tex]\bar{x}[/tex] is the mean repair cost and MoE is the margin of error that is given by

[tex]$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\[/tex]

Where n is the sample size, s is the sample standard deviation, and [tex]t_{\alpha/2}[/tex]  is the t-score corresponding to 95% confidence level.

The t-score corresponding to 95% confidence level is

Significance level = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom (DoF) = n - 1 = 8 - 1 = 7

From the t-table at α = 0.025 and DoF = 7

t-score = 2.365

Therefore, the critical value that should be used in constructing the confidence interval is 2.365

[tex]MoE = 2.365\cdot \frac{23.69}{\sqrt{8} } \\\\MoE = 2.365\cdot 8.3756\\\\MoE = 19.808 \\\\[/tex]

So the required 95% confidence interval is

[tex]CI = \bar{x} \pm MoE\\\\CI = 57.89 \pm 19.808\\\\CI = 57.89 - 19.808 \: and \: 57.89 + 19.808\\\\CI = \$38.08 \: and \:\:\$77.70\\[/tex]

Therefore, we are 95% confident that the mean repair cost for the refrigerators is within the range of ($38.08, $77.70)

Answer:

  $1800 of joint production costs are allocated to each type of shotgun. That is $60 per shotgun.

Step-by-step explanation:

Equal numbers of shotguns of each type are produced in the joint process, so the joint process cost is allocated equally between the types. The allocation for each shotgun is ...

  $3600/(30+30) = $60 . . . . allocated cost per shotgun of each type

Answer:

$6,259,057.84

Step-by-step explanation:

hello,

compounding continuously means that we have to multiply by

[tex]e^{0.0938*t}[/tex]

t is the number of years

so the account balance in 42 years is

[tex]57,500e^{0.0938*42}=6,259,057.84....\\[/tex]

so it gives

$6,259,057.84

hope this helps

Answer:

[tex] z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108[/tex]

And we can use the normal standard distribution table or excel and with the complement ruler we got:

[tex] P(z>-2.108) =1- P(z<-2.108) =1-0.0175= 0.9825[/tex]

Step-by-step explanation:

We know the following info given:

[tex]\mu = 997[/tex] represent the true mean

[tex]\sigma = \sqrt{3844}= 62[/tex] represent the population deviation

[tex] n = 73[/tex] represent the sample size selected

Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

[tex]\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})[/tex]

And for this case we want to find this probability:

[tex]P(\bar X >981.7)[/tex]

And we can use the z score formula given by:

[tex] z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108[/tex]

And we can use the normal standard distribution table or excel and with the complement ruler we got:

[tex] P(z>-2.108) =1- P(z<-2.108) =1-0.0175= 0.9825[/tex]

Hey there! :)

Answer:

[tex]-25m^{6}n^{9}[/tex]

Step-by-step explanation:

The product rule means that when multiplying variables with exponents, the exponents must be added together. Therefore:

[tex](-5m^{5}n^{6})(5mn^{3}) =[/tex]

[tex]-25m^{5+1}n^{6+3} =[/tex]

Simplify:

[tex]-25m^{6}n^{9}[/tex]

This is your answer!

Answer:

The rearranged steps is as follows:

d. procedure last smallest(a1,a2,...,an: integers)

b. min ≔a1 and location ≔1

e. If min >= ai then

c. min ≔ai and location≔i

a. return location

Step-by-step explanation:

The proper steps to perform the task in the question above is dbeca

Here, the procedure (or function) was defined along with necessary parameters

d. procedure last smallest(a1,a2,...,an: integers)

The smallest number is initialized to the first number on the list and its location is initialized to 1

b. min ≔a1 and location ≔1

The next line is an if conditional statement that checks if the current smallest number is greater than a particular number

e. If min >= ai then

If the above condition is true, the smallest value is assigned to variable min; it's location is also assigned to variable location

c. min ≔ai and location≔i

The last step returns the location of the smallest number

a. return location

Answer:

1. C

2. A

3. A

Step-by-step explanation:

1. It is the Symmetric Property of Congruence because the definition is literally what it says.

2. Incomplete sentences don't matter as long as you have the right stuff.

3. Step 2 is wrong because it should be Definition of Midpoint.

If Curtis is attempting to defend a step in his proof paragraph. He should apply the symmetric property of congruence so that he can demonstrate that AB=BC and that BC=AB. It's best to choose C.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

A)If Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

B)All of the following would make a formal proof incomplete except Incomplete sentences. Option A is correct.

C)Step 2 in the proof has a flaw Because it is not a symmetric property while they show congruency because it must be a midpoint definition. Option A is correct.

Thus, if Curtis is trying to justify a step in his paragraph proof. Symmetric Property of Congruence that he should use as a result he can show AB=BC therefore BC=AB. Option C is correct.

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Answer:

Answer:

21378.6

Step-by-step explanation:

You move the decimal point four places towards the right.

Answer:

21378.6

Step-by-step explanation: