To solve the system given below using substitution, it is best to start by
solving the second equation for y.
5x + 2y = 33
6y + x = 3
true or false

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 4% of respondents did not provide a response, 26% said that their experience fell short of expectations, 65% of the respondents said that their experience met expectations (Clarkson Magazine, Summer, 2001). If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations? If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Solution:

Probability = number of favorable outcomes/number of total outcomes

From the information given,

The probability that respondents did not provide a response, P(A) is 4/100 = 0.04

The probability that a respondent said that their experience fell short of expectations, P(B) is 26/100 = 0.26

The probability that a respondent said that their experience met expectations, P(C) is 65/100 = 0.65

A) Adding all the probabilities, it becomes 0.04 + 0.26 + 0.65 = 0.95

Therefore, the probability,P(D) that a respondent said that their experience surpassed expectations is 1 - 0.95 = 0.05

B) The event of a randomly chosen respondent saying that their experience met expectations and that their experience surpassed expectations are mutually exclusive because they cannot occur together. It means that P(C) × P(D) = 0

Therefore, the probability of P(C) or P(D) is 0.65 + 0.05 = 0.7

Answer:

[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]

And replacing we got:

[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

Step-by-step explanation:

We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:

[tex] X \sim Unif (a= 8, b=22)[/tex]

And for this case we want to find the following probability:

[tex] P(X>14)[/tex]

We can find this probability using the complement rule and the cumulative distribution function given by:

[tex] P(X<x) = \frac{x-a}{b-a} ,a \leq x \leq b[/tex]

Using this formula we got:

[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]

And replacing we got:

[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

Answer:

60°

Step-by-step explanation:

∠ABC-∠CBD=∠1

[tex]135-75[/tex]

[tex]=60[/tex]

Answer:

Brainliest goes to me!

Step-by-step explanation:

angle abc = 135 degrees

part of it is angle 1 and the other part is angle cbd

<abc (135) = cbd (75) + <1

angle 1 = 60 degrees

Answer:

I would say the second one

Step-by-step explanation:

f(x) has a range of y<0, because it is reflected over the x axis

g(x) = -5/7(3/5)^-x is also reflected over the x axis, except also in the y axis. Regardless of the reflection in the y-axis, y still cannot be equal to or greater than 0. Therefore, I believe it is the second choice.

(The third and forth choice are the same, which rules them both out. The first on reflects it over the y-axis, meaning that x can be greater than 0.)

Answer:

46

Step-by-step explanation:

Azman=35+amin

Aziz=3×amin

therefore;35+amin+2amin+amin/3=73

219=35+4amin

219-35=4amin

184=4amin

Amin's mark=184÷4

=46

Answer:

55.82 cm

Step-by-step explanation:

d1= 8.72 cm

a= 15.6 cm

A rhombus= 1/2*d1*d2 = A square

A square= 15.6²= 243.36 cm²

d2= 2A/d1= 2*243.36/8.72 ≈55.82 cm

Answer:

The probability that none of the households are tuned to 50 Minutes is 0.04398.

Step-by-step explanation:

We are given that the television show 50 Minutes has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to 50 Minutes.

A pilot survey begins with 14 households have TV sets in use at the time of a 50 Minutes broadcast.

The above situation can be represented through binomial distribution;

[tex]P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........[/tex]

where, n = number of samples (trials) taken = 14 households

r = number of success = none of the households are tuned to 50 min

p = probability of success which in our question is probability that households were tuned to 50 Minutes, i.e. p = 20%

Let X = Number of households that are tuned to 50 Minutes

So, X ~ Binom(n = 14, p = 0.20)

Now, the probability that none of the households are tuned to 50 Minutes is given by = P(X = 0)

               P(X = 0)  =  [tex]\binom{14}{0} \times 0.20^{0} \times (1-0.20)^{14-0}[/tex]

                              =  [tex]1 \times 1 \times 0.80^{14}[/tex]

                              =  0.04398

[tex]solution \\ {2x}^{2} - x + ( - x - {2x}^{2} - 2) \\ = {2x}^{2} - x - x - {2x}^{2} - 2 \\ = {2x}^{2} - {2x}^{2} - x - x - 2 \\ = - 2x - 2[/tex]

Hope it helps

Good luck on your assignment

Answer:

[tex] - 2x - 2[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - x + ( - x - 2 {x}^{2} - 2) \\ 2 {x}^{2} - x - x - 2 {x}^{2} - 2 \\ 2 {x}^{2} - 2 {x}^{2} - x - x - 2 \\ - 2x - 2[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

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

Answer:

a) 0.0026

P- value is 0.0026

Step-by-step explanation:

Step(i):-

Given data

first sample size n₁= 80

mean of the first sample  x⁻₁= $6.75

Standard deviation of the first sample   (σ₁) = $1.00

second sample size (n₂) = 60

mean of the second sample( x₂⁻) = $6.25

Standard deviation of the second sample (σ₂) = $0.95

step(ii):-

Test statistic

[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{(S.D)_{1} ^{2} }{n_{1} } +\frac{(S.D)_{2} ^{2} }{n_{2} } } }[/tex]  

  Null Hypothesis :H₀: There is no significant difference in wages across the two employers.

x⁻₁= x₂⁻

Alternative Hypothesis :H₁: There is significant difference in wages across the two employers.

x⁻₁≠ x₂⁻

[tex]Z = \frac{6.75 -6.25 }{\sqrt{\frac{(1^{2} }{80 } +\frac{((0.95)^{2} }{60} } }[/tex]

Z = 3.01

P- value:-

Given data is two tailed test

The test statistic Z = 3.01

First we have to find the Probability of z-statistic

P(Z>3.01) =  1- P( z <3.01)

                 = 1- (0.5 + A(3.01)

                = 0.5 - A(3.01)

             =    0.5 - 0.49865   ( from normal table)

             = 0.0013

P(Z>3.125) = 0.0013

Given two tailed test

   P- value = 2 × P( Z > 3.01)

                 = 2 × 0.0013

                = 0.0026

Final answer:-

The calculated value Z = 3.125 > 1.96 at 0.05 level of significance

null hypothesis is rejected

Conclusion:-

P- value is 0.0026

Answer:

y = -2x - 1

Step-by-step explanation:

Step 1: Find the parallel line

y = -2x + b

Step 2: Solve for b

-3 = -2(1) + b

-3 = -2 + b

b = -1

Step 3: Write parallel equation

y = -2x - 1

Answer:

False.

Step-by-step explanation:

This statement is false, for any value of F because the power function with an even exponent is always positive or 0.

The type of triangle drawn is an isosceles triangle.

Base angles ∠ACB and ∠CAB are equal.

This is a type of triangle with base angles and opposite sides equal.

Analysis:

∠DCA = ∠CAB ( alternate angles are equal)

∠CAB + ∠ACB + ∠CBA = 180°( sum of angles in a triangle)

50 + ∠ACB + 80 = 180

130 + ∠ACB = 180

∠ACB = 180 - 130 = 50°

Since ∠ACB = ∠CAB = 50°. The triangle drawn is an isosceles triangle.

In conclusion, the triangle is isosceles because the base angles are equal.

Learn more about isosceles triangle: brainly.com/question/1475130

#SPJ1

Answer:

Midpoint Of AB = ( 1+1/2 , -2-1/2)

= (2/2 , -3/2)

= ( 1 , -1.5)

Hope this helps

Please mark Branliest.

Answer:

-2,0

Step-by-step explanation:

Answer:

well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle

Step-by-step explanation:

Answer:

840 cm

Step-by-step explanation:

From the diagram attached, the 3 by 3 grid is made up of nine 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of four rows each row having a length of 3 cm and four columns with each column having a length of 3 cm.

The length of wire required by the 3 by 3 grid = 4 column (3 cm / column) + 4 row (3 cm / row) = 12 cm + 12 cm = 24 cm

The 20 by 20 grid is made up of twenty 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of twenty one rows each row having a length of 20 cm and twenty columns with each column having a length of 20 cm.

The length of wire required by the 20 by 20 grid = 21 column (20 cm / column) + 21 row (20 cm / row) = 420 cm + 420 cm = 840 cm

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

x = Amin's score in math

y = Azman's score in math

z = Aziz's score in math.

The average of x, y and z is, 73.

That is:

[tex]\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219[/tex]

Now it is provided that:

[tex]y=x+35...(i)\\z=2x...(ii)[/tex]

Use the equations (i) and (ii) to determine the value of x as follows:

[tex]x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46[/tex]

Thus, the Amin's score in math was 46.

Answer:

[tex]\mathbf{E(p) = 1 - 3p}[/tex]

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Step-by-step explanation:

Given that:

the number of units demanded [tex]q = pe^{-3p}[/tex]

Taking differentiations ; we have,

[tex]\dfrac{dq}{dp}=e^{-3p}+p(-3e^{-3p})[/tex]

[tex]\dfrac{dq}{dp}=(1-3)e^{-3p}[/tex]

Now; the price elasticity of demand using the differentials definition of elasticity  is:

[tex]E(p) = \dfrac{dq}{dp}*\dfrac{p}{q}[/tex]

[tex]E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}][/tex]

[tex]\mathbf{E(p) = 1 - 3p}[/tex]

(b)   Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.

The estimate of the percentage change in price is :

[tex]=\dfrac{2.10-2.00}{2.00}*100 \%[/tex]

= 5%

From (a)

[tex]\mathbf{E(p) = 1 - 3p}[/tex]

Now at p = $2.00

E(2) = 1 - 3 (2.00)

E(2) = 1 - 6

E(2) = -5

The percentage change in q = -5 × 5%

The percentage change in q = -25%

Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Answer:

X = 5

Step-by-step explanation:

If 4x = 20

And we are asked to find the solution.

It simply means looking for the value of x

So

4x = 20

X = 20/4

X = 5

X is simply the solution

X = 5

Answer:

D 2.16

Step-by-step explanation:

a p e x just use log

Answer:

The sample size for the data set = 56

Step-by-step explanation:

The sample size or number of individuals (n) is gotten from a histogram by summing up the total frequencies of occurrences.

In this example, the frequencies are: 2 4 6 8 10 12 14

Therefore, the sample size (n) is calculated as follows:

n = 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56

Therefore the sample size for the data set = 56

The sample size for the data set = 56

Given that,

The calculation is as follows:

= 2 + 4 + 6 + 8 + 10 + 12 + 14

= 56

Learn more: https://brainly.com/question/15622851?referrer=searchResults

Answer:

x = -9

Step-by-step explanation:

Step 1: Write out expression

5(x + 13) = 20

Step 2: Distribute

5x + 65 = 20

Step 3: Isolate x

5x = -45

x = -9

And we have our answer!

Answer:

-9

Step-by-step explanation:

Let the number be x.

5(x+13) = 20

Expand.

5x+65 = 20

Subtract 26 on both sides.

5x = 20 - 65

5x = -45

Divide 5 into both sides.

x = -45/5

x = -9

The number is -9.

Answer:

9

Step-by-step explanation:

Since the scale factor is 12/8 = 1.5, to find LA we have to multiply FI by 1.5 which is 6 * 1.5 = 9.

Answer:

Answer choice 1

Step-by-step explanation:

[tex]5^2\cdot 5^9= \\\\5^{2+9}= \\\\5^{11}[/tex]

Therefore, the correct answer choice is choice 1. Hope this helps!

Answer:

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

nPr = [tex]\frac{n!}{(n-r)!}[/tex]

4P2 = [tex]\frac{4!}{(4-2!}[/tex]

[tex]= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12[/tex]

4P2 = 12

Answer:

3m + 4c

Step-by-step explanation:

Whenever a word problem says the word earn that means the slope, also known as the rate of change, will be positive. Knowing this you can determine that both the caramel and milk chocolate slopes will be positive. After figuring all that out the only thing left to do is to make the equation. You know you have two slopes, and each slope needs a variable, so you will have to look back at the question. It is given that m represents the milk chocolate and c represents the caramel. Now all you have to do is make the slope the coefficient to the corresponding variable. The milk chocolates are 3 dollars, so the 3 goes in front of the m and the caramel chocolates are 4 dollars, so teh 4 goes in front of the 4. Since both slopes are positive no negatives or minus signs will be used in the equation. Knowing all this information you can now create the expression 3m + 4c.

Answer:

D

Step-by-step explanation:

3m + 4c

Answer :

x1 = -1

x2= +3

x3 = +4

I hope it helps

If you are doing it by roots how ever it would be 3

Answer:

4a²

Step-by-step explanation:

(2a)²

Distribute the square to all the terms in the bracket.

2²a²

Solve the powers if possible.

4a²

Answer:

4a²

Step-by-step explanation:

=> [tex](2a)^2[/tex]

=> [tex](2^2*a^2)[/tex]

=> 4 * a²

=> 4a²

Answer:

Hi there!

The correct answers are: A, B, D, E

Step-by-step explanation:

First of all, perpendicular means when two lines intersect to form a 90° angle.

Second ⊥ means perpendicular.

When something is a bisector it means it evenly slices a line in half.

Hey there! :)

Answer:

a. 3

b. -22

c. -2

d. -2

e. 5a + 8

f. a² + 6a + 3

Step-by-step explanation:

Calculate the answers by substituting the values inside of the parenthesis for 'x':

a. f(1) = 5(1) - 2 = 3

b. f(-4) = 5(-4) - 2  = -22

c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2

d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2

e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8

f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =

a² + 6a + 3