The graph of a linear function is a _______

Answer:

Step-by-step explanation:

Let X denote the first step

Let Y denote the second step

Then

E(X) = 0.2

E (Y) = 0.3

V (X) = 0.04

V (Y) = 0.09

Now,

E(X,Y) = E[X] + E{Y}

0.2 + 0.3 = 0.5

And since X and Y are independent

Therefore,

V(X , Y) = V(X) + V(Y)

= 0.04 + 0.09

= 0.13

Now required probability is

[tex]P\{ \sum X_i+\sum Y_i<8 \}=P\{ \frac{\sum X_i + \sum Y_i-nE[X+Y]}{\sqrt{Var(X+Y)n} } <\frac{8-20\times0.5}{\sqrt{0.13\times20} } \}\\\\=P\{Z_n<\frac{8-10}{\sqrt{2.6} } \}\\\\=P\{Z_n<-1.24\}[/tex]

= Φ(-1.24)

= 1 - Φ (1.24)

= 1 - 0.8925

= 0.1075

Answer:

2880

Step-by-step explanation:

Consider the 5 boys to be 1 group.  The boys and 3 girls can be arranged in 4! ways.

Within the group, the boys can be arranged 5! ways.

The total number of permutations is therefore:

4! × 5! = 2880

Answer:

121 square feet

Step-by-step explanation:

The area of a triangle is the height multiplied by the base divided by 2. Since this is a right triangle, you can simply use the two legs for this. The area of this triangle is therefore:

[tex]\dfrac{24.2\cdot 10}{2}=\dfrac{242}{2}=121[/tex]

Hope this helps!

Answer:

Area: 121 feet²

Step-by-step explanation:

The formula for the area of any triangle is [tex]\frac{1}{2} *b*h[/tex]

This triangle's base is 10 feet

This triangle's height is 24.2 feet

[tex]\frac{1}{2} *10*24.2=\\5*24.2=\\121[/tex]

The area of the triangle is 121 square feet or 121 ft²

Answer:

Step-by-step explanation:

In this problem, we have the following linear equations:

y=3x+5

y=ax+b

We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.

1.  What values for a and b make the system inconsistent?

A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:

a=3

for any value of b

2. What values for a and b make the system consistent and dependent?

A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:

a=3 and b=5

Answer:

When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer: 148 is 37% of What Number? 37% of 400 is 148. 100% of 400 is 400, therefore 37 percent of 400 equals 148.

Brainlest would be appreciated.

Answer:

99,7 % of all values will be in the interval ( -2 ; 34)

Step-by-step explanation:

Empirical Rule for the normal distribution with mean X,  implies that the intervals :

X ± σ             will contain  68 % of all values

X ± 2σ           will contain  95 % of all values

X ± 3σ           will contain  99,7 % of all values

Therefore in the interval    X  - 3σ   ;   X + 3σ

X - 3*6    =  X  -18  =  16 - 18 = -2

And

X + 3*6  = X + 18   = 16 + 18 = 34

99,7 % of all values will be in the interval ( -2 ; 34)

Answer:

156 minutes

Step-by-step explanation:

So we need to create an equation to represent how Frank's phone company bills him

So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"

They then charge $0.06 for every minute he talks, this will be our "slope"

Combining everything into an equation, we have: y = 0.06x + 8

Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value

Frank used up a total of 156 minutes

Answer:

[tex] 43100 \leq \mu \leq 59710[/tex]

And for this case we want to test the following hypothesis:

Null hypothesis: [tex] \mu =42000[/tex]

Alternative hypothesis: [tex] \mu \neq 42000[/tex]

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

Step-by-step explanation:

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

And for this case the 95% confidence interval is already calculated as:

[tex] 43100 \leq \mu \leq 59710[/tex]

And for this case we want to test the following hypothesis:

Null hypothesis: [tex] \mu =42000[/tex]

Alternative hypothesis: [tex] \mu \neq 42000[/tex]

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

Answer: Yes, because $42,000 is not contained in the 95% confidence interval, the null hypothesis would be rejected in favor of the alternative, and it could be concluded that the mean family income is significantly different from $42,000 at the α = 0.05 level

Step-by-step explanation:

took the test

Answer:

a= [tex]\frac{14}{3}[/tex]

a≈4.6

Step-by-step explanation:

a+5- [tex]\frac{2}{3}[/tex] =9

a+ [tex]\frac{15}{3} -\frac{2}{3}[/tex] =9

a+ [tex]\frac{13}{3}[/tex] =9

Subtract [tex]\frac{13}{3}[/tex] from both sides

a=[tex]\frac{14}{3}[/tex]

a≈4.6

Answer:

a

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Exterior angles add up to 360

360 - 134-130 = 96

x = 96

Answer:

the answer is 64 .

Step-by-step explanation:

basically i just divided 48 by 2.4 and got 20 .. so that means that 20 has to be the multiplied factor so i just multiplied 3.2 by 20 and got 64.

Answer: (x - 4) (3x + 2)

Step-by-step explanation:

Factor 3x² - 10x - 8

a) Multiply the first and last coefficients: 3(-8) = -24

b) Find two numbers whose product equals -24 and sum equals -10 (the middle coefficient).

                                           -24

                                             ∧

                                          1    -24

                                          2    -12    This works!

c) Replace the the middle term of -10x with 2x - 12x

    3x² + 2x - 12x - 8

d) Split the equation into two sections (left and right) and factor each side separately.

     3x² + 2x          - 12x - 8

   x(3x + 2)            -4(3x + 2)

e) Notice that the parenthesis are the same. The values on the outside combine to make one of the factors and the parenthesis are the other factor.

 x(3x + 2)            -4(3x + 2)

= (x - 4) (3x + 2)

Answer:

Lucy's percentage profit = 33.33% based on Sales Value

and 50% based on Cost.

Step-by-step explanation:

a) Calculations:

7kg = 7,000g of nuts

Cost of 7,000g = £10

350g = 20 bags (7,000/350)

Sales value = £15 (20 x 75p)

Profit = Sales value minus Cost

Profit = £5 (£15 - £10)

Profit percentage based on sales = Profit/Sales x 100 = 5/15 x 100 = 33.33%

Profit percentage based on cost = Profit/Cost x 100 = 5/10 x 100 = 50%

b) Profit is the excess of sales over cost.  There are two ways to express it in percentages.  Profit can be expressed as a percentage of the cost (Markup).  It can also be expressed as the percentage of the sales value (Margin).

Answer:

a. 1/3 or about 33.33%

b. 5/6 or about 83.33%

Step-by-step explanation:

Answer:

the possibility of a red one is 33.4%

The possibility of a non yellow one is 83.3

Step-by-step explanation:

Answer:

[tex]=\left(x+4\right)\left(x-9\right)[/tex]

Step-by-step explanation:

[tex]x^2-5x-36\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+4x\right)+\left(-9x-36\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9x-36\mathrm{:\quad }-9\left(x+4\right)\\=x\left(x+4\right)-9\left(x+4\right)\\\mathrm{Factor\:out\:common\:term\:}x+4\\=\left(x+4\right)\left(x-9\right)[/tex]

Answer:

Triangle Q R P is shown. The length of Q R is 5 and the length of R P is 6. Angle Q R P is 40 degrees.

Step-by-step explanation:

The trigonometric formula refers the two sides length of the triangle and it also consists of included angle to find out the area

A = [tex]\frac{1}{2}[/tex] ab sin C

QPR contains two sides and the included angle

XYZ has one side and the two angles

DEF has only three sides

And, the ABC contains two sides but does not have the included angle

Based on the explanation above, the correct option is B

Answer: the second option aka B

Step-by-step explanation: The other person explained it and I'm just here to tell you they gave the correct and answer for edge 2020.

Answer: choice D 1/2

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

so

1/6=1/3*p(A)

p(A)=1/2

Answer:

b

Step-by-step explanation:

In a parralel graph, the slopes would always be the same. The intercept in the answer is 2, showing that the coordinate points are (0,2)

Hope this helps!:)

Answer:

B) y = 2x + 2

Step-by-step explanation:

Firstly, you have to know that parallel lines have congruent slopes. That means that the slope of this line will be 2.

Next, make a point slope form of the equation:

y - y1 = m(x - x1)

y - 2 = 2(x - 0)

y - 2 = 2x - 0

Now, we can make it into slope intercept form.

y - 2 = 2x

y = 2x + 2

Hope this helps :)

Answer:

Option (3)

Step-by-step explanation:

A stone has been thrown off towards the ground from a height [tex]h_{0}[/tex] = 18 feet

Initial speed of the stone 'u' = 4.5 feet per second

Since height 'h' of a projectile at any moment 't' will be represented by the function,

h(t) = ut - [tex]\frac{1}{2}(g)(t)^2[/tex] + [tex]h_{0}[/tex]

h(t) = 4.5t - [tex]\frac{1}{2}(32)t^2[/tex]+ 18 [ g = 32 feet per second square]

h(t) = 4.5t - 16t² + 18

h(t) =-16t² + 4.5t + 18

Therefore, Option (3) will be the answer.

Answer:

The 5 ounce bottle is $0.98 per ounce

The 15 ounce bottle is $0.69 per ounce

The 15 ounce bottle is a better deal because the cost per ounce is lower

Step-by-step explanation:

To find the cost per ounce for each bottle, divide the cost by how many ounces are in the bottle.

4.89 ÷ 5 = 0.978

10.29 ÷ 15 = 0.686

So, the 5 ounce bottle is $0.98 per ounce, while the 15 ounce bottle is $0.69 per ounce.

The 15 ounce bottle is a better deal because the price is lower per ounce.

Buying a 15 ounces bottle for $10.29 is the better deal because it's cheaper.

Since one can buy shampoo in a 5 ounce bottle for $4.89, the cost per ounce bottle will be:

= $4.89/5

= $0.978

Since one can buy a 15 ounces bottle for $10.29, the cost per ounce bottle will be:

= $10.29/15

= $0.686

Read related link on:

https://brainly.com/question/13568035

Answer:

Answer choice 3

Step-by-step explanation:

Option 3 is correct one

∠TQS ≅ ∠RSQ

⇒ ΔTQS ≅ ΔRSQ

⇒ QR≅ST and QT≅RS

QRST is parallelogram by definition

Answer:

Option 3

Step-by-step explanation:

Angle TQS is congruent to angle RSQ and can be proved by alternating interior angle theorem.

Triangle TQS is congruent to triangle RSQ.

Line QR is congruent to line ST.

Line QT is congruent to line RS.

Answer:

The minimum score required for the job offer is 751.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 587, \sigma = 152[/tex]

What is the minimum score required for the job offer?

Top 14%, so the minimum score is the 100-14 = 86th percentile, which is X when Z has a pvalue of 0.86. So X when Z = 1.08.

Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.08 = \frac{X - 587}{152}[/tex]

[tex]X - 587 = 1.08*152[/tex]

[tex]X = 751.16[/tex]

Rounding to the nearest whole number:

The minimum score required for the job offer is 751.

Answer:

a. The probability that a customer purchase none of these items is 0.49

b. The probability that a customer purchase exactly 1 of these items would be of 0.28

Step-by-step explanation:

a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:

let A represents suit

B represents shirt

C represents tie

P(A) = 0.22

P(B) = 0.30

P(C) = 0.28

P(A∩B) = 0.11

P(C∩B) = 0.10

P(A∩C) = 0.14

P(A∩B∩C) = 0.06

Therefore, the probability that a customer purchase none of these items we would have to calculate the following:

1 - P(A∪B∪C)

P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)

= 0.22+0.28+0.30-0.11-0.10-0.14+0.06

= 0.51

Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49

The probability that a customer purchase none of these items is 0.49

b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:

= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2  P(A ∩ B ∩ C))

=0.51 -0.23 = 0.28

The probability that a customer purchase exactly 1 of these items would be of 0.28

Answer:

15<x<27

Step-by-step explanation:

Rule for the sides of a triangle:

The sum of the two smallest sides of a triangle must be greater than the biggest side.

In this question:

Sides of 6, 21 and x. We have to find the range for x.

If 21 is the largest side:

Two smallest are 6 and x.

x + 6 > 21

x > 21 - 6

x > 15

If x is the largest side:

Two smallest and 6 and 21. So

21 + 6 > x

27 > x

x < 27

Then

x has to be greater than 15 and smaller than 27. So the answer is:

15<x<27

Answer:

a=[tex]\frac{y-k+h}{vx}[/tex]

Step-by-step explanation:

y=avx-h+k

subtract k and add h to both sides

y-k+h=avx

divide v and x from both sides

[tex]\frac{y-k+h}{vx}[/tex]=a

Answer:

The value of a is [tex]a=\frac{y+h-k}{vx}[/tex]

Step-by-step explanation:

What is expression?

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.

What is radical symbol?

In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number.

Given,

[tex]y=avx-h+k\\= > y+h-k=avx\\= > a=\frac{y+h-k}{vx}[/tex]

To know more about expression, radical symbol here

https://brainly.com/question/12293949

#SPJ2

Answer: Option 3.

Step-by-step explanation:

A rotation around the side AB, means that the side AB remains fixed in the place, and we rotate the vertex C creating in this way a solid figure.

Now, this figure will Create a cone with height AB, and where the radius of the base will be BC. (Where AB is the length of the side AB in the original triangle, and BC is the length of the side BC on the original triangle)

The correct option is option 3.

Answer:

Step-by-step explanation:

Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...

  mpy[n] = n·mp[n-1]

  mpy[2] = 2

So, ...

  mpy[n] = n! . . . n ≥ 2

__

If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...

  10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10

Then the larger matrices take ...

  n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min

  n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years

  n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years

_____

For the shorter time periods (less than 100 years), we use 365.25 days per year.

For the longer time periods (more than 400 years), we use 365.2425 days per year.

Answer:

9 is the correct answer to the given question .

Step-by-step explanation:

AS mention  in the question the random variable x is the number of vehicles that passing through the intersection in the 30-minute .So we concluded that it is normal distribution because in the normal distribution the variable values are divided .

In the Normal distribution  

[tex]Mean \ number\ =\ Expected\ value\ \\Here Mean number\ =\ 9[/tex]

Therefore the Expected value =9.

Answer:

22.68

Step-by-step explanation:

82.24 =-8.48 + 4x

82.24+8.48 = 4x

90.72=4x

90.72/4=x

22.68=x