Find the equation of the line that contains the point (4, -2) and is perpendicular to the line y= -2x+5

.

Answer:

[tex]28[/tex], [tex]82[/tex]

Step-by-step explanation:

[tex]10 \times 3 -2=28\\28 \times 3 - 2 = 82[/tex]

Step-by-step explanation:

I think the first number should be 16

Then these numbers are divisible by 4

Answer:

a) [tex] P(X \geq 1) = 1-P(X<1) = 1-P(X=0)[/tex]

[tex]P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}[/tex]

And replacing we got:

[tex] P(X \geq 1) =1 -1x10^{-18} \approx 1[/tex]

b) [tex]P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355[/tex]

[tex]P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047[/tex]

[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]

And adding we got:

[tex] P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992[/tex]

c) [tex] P(X \leq 8) =1 -P(X>8) = 1-P(X=9)[/tex]

[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]

And replacing we got:

[tex] P(X \leq 8)= 1-0.913517=0.086483[/tex]

Step-by-step explanation:

Let X the random variable of interest "numebr of times that an alarm is triggered", on this case we now that:

[tex]X \sim Binom(n=9, p=0.99)[/tex]

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

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

Part a

We want to find this probability:

[tex] P(X \geq 1) = 1-P(X<1) = 1-P(X=0)[/tex]

[tex]P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}[/tex]

And replacing we got:

[tex] P(X \geq 1) =1 -1x10^{-18} \approx 1[/tex]

Part b

[tex] P(X \geq 7)= P(X=7) +P(X=8)+ P(X=9) [/tex]

[tex]P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355[/tex]

[tex]P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047[/tex]

[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]

And adding we got:

[tex] P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992[/tex]

Part c

[tex] P(X \leq 8) =1 -P(X>8) = 1-P(X=9)[/tex]

[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]

And replacing we got:

[tex] P(X \leq 8)= 1-0.913517=0.086483[/tex]

Answer:

30,000

Step-by-step explanation:

We know that divide the percentage by 100. After that you get the decimal thing then all you do is multiply the number and you get your answer that is  30,000.

Answer: 30,000

Please mark brainliest

Hope this helps.

The first two pieces are the same, let each of those equal x, so you have x + x = 2x

The 3rd piece is the sum of the first two + 4, so this would be 2x + 4

Now you have 2x + 2x + 4 = 100 cm

Combine like terms:

4x +4 = 100

Subtract 4 from both sides

4x = 96

Divide both sides by 4

X = 24

First piece is 24 cm

Second piece is 24 cm

Third piece is 52 cm

Answer:

0.2 Inches

Step-by-step explanation:

Given the height of the saw tooth represented by the function

[tex]y = 0.4sin (15x + 1.5) - 0.2$ for $t > 0.[/tex]

Comparing with the general form of a trigonometric equation

[tex]y = A sin(B(x + C)) + D[/tex]

Where:

Amplitude, A=0.4

Vertical Shift (Midline),D = - 0.2

The maximum and minimum height of the sinusoidal function is given by:

[Min, Max]=[D-A, D+A]

=[-0.2-0.4, -0.2+0.4]

=[-0.6,0,2]

The maximum height that the sawtooth reaches is 0.2 inches.

Answer:

For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:

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

Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope m would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:

[tex] 150 = 36.5 +0.17x[/tex]

D. 150 = 36.50 + 0.17x

Step-by-step explanation:

For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:

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

Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:

[tex] 150 = 36.5 +0.17x[/tex]

D. 150 = 36.50 + 0.17x

Answer:

75.36unit^2

Step-by-step explanation:

Looking at the expression in the question, it is synonymous to the

equation for the circumference of a circle

π×d =3.14×24=75.36unit^2

Answer:

A. 1/3

Step-by-step explanation:

did it on edge, hope this helps :)

To find the ratio, we simply take the amount of boys and put that number first because that is what they asked for first:

5

Then we find the total amount of the students because that is what they ask for next:

5 boys + 10 girls = 15 students

Finally we take those two numbers and put them in a ratio:

5 : 15

(I had to redo my answer cause for some reason my other one was taken down.)

Answer:

Total volume of all the bins = xS + yL

Step-by-step explanation:

Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.

To find: an expression that represents the total volume of all the bins

Solution:

The volume of the smaller bin = x cubic inches

The volume of the larger bin = y cubic inches

Also, the store has S smaller bins and L larger bins

So,

Total volume of all the bins = xS + yL

Answer:

xS plus yL

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

No angle is bigger than 90 degrees.

Answer:

All angles are less than 90 degrees.

Obtuse = more than 90 degrees

Right = 90 degrees

Hope this helps

Answer:

76

Step-by-step explanation:

The sum of the angles of a triangle add to 180

40+ 3x+10 + 2x+20 = 180

Combine like terms

70 + 5x = 180

Subtract 70

70+5x-70 =180-70

5x = 110

Divide by 5

5x/5 = 110/5

x = 22

We want to find BCA

BCA = 3x+10

        = 3(22)+10

        = 66+10

         =76

Answer:

76

Step-by-step explanation:

The sum of the angles of a triangle add to 180

3x+10 + 2x+20 = 140

5x+30=140

-30       -30

5x=110

x=22

3*22=66+10=76

Answer:

Options (1), (2) and (4).

Step-by-step explanation:

Given question is incomplete; Find the complete question in the attachment.

Triangle ABC is a right triangle.

ΔABC has been dilated by a scale factor of 2 forming ΔA'B'C'.

These are the observations,

1). A and A' will be co-linear.

2). Since the given triangle has been dilated about a point B therefore, after dilation vertex B and B' will at be same location.

3). Length of B'C' = 2BC

4). AB and BC are the segments which will lie on the sides BA' and BC'.

5). Pre-image ABC will be inside the image A'B'C'.

Therefore, Options (1), (2) and (4) will be the answer.

A B and D

i just took the quiz on edge

Answer:

8.7

Step-by-step explanation:

distance formula

Answer:

\sqrt{68}

Step-by-step explanation:

Using the distance formula, you can find that the distance between these two points is:

[tex]\sqrt{(5-(-3))^2+(-2-(-4))^2}=\\\\\sqrt{(5+3)^2(-2+4)^2}=\\\\\sqrt{8^2+2^2}=\sqrt{64+4}=\\\\\boxed{\sqrt{68}}[/tex]

This is based on the Pythagorean Theorem, since you can imagine making a right triangle between these two points and the distance between them being the hypotenuse. Hope this helps!

Answer:

Its absolutely cone , it has one triangle face seen from front , and a circular base

Answer:

Rectangular pyramid had a triangular face .

Answer:

166320 ways

Step-by-step explanation:

In this case we must calculate the number of combinations for each option, and then multiply the result of each one, like this:

Number of ways you can choose 3 vegetables out of 9 available:

nCr = n! / (r! * (n-r)!)

in this case n = 9, r = 3, replacing:

9C3 = 9! / (3! * (9-3)!) = 84

Number of ways you can choose 2 fruits out of 9 available:

9C2 = 9! / (2! * (9-2)!) = 36

Number of ways you can choose 2 whole grains out of 11 available:

11C2 = 11! / (2! * (11-2)!) = 55

So according to the rule of the products how many ways you can choose the daily diet

84*36*55 = 166320

Answer: 59

Step-by-step explanation:

On 15th day Kyle will do 59 crunches.

An equation is a statement that consists of algebraic expressions equated with other algebraic expressions by an equal sign.

The crunches Kyle did on Day 1 are 3

The rate by which he is increasing per day is 4 crunches/per day

let t represent the number of days

Let the number of crunches on t day be y

Then the equation formed will be

y = 3 + 4(t-1)

On 15th day, he will do

y = 3+ (15-1) *4

y = 3+56

y = 59

Therefore, on 15th day Kyle will do 59 crunches.

To know more about Equation

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Answer:

a) 72

b) 9

c) 9

d) 54

Step-by-step explanation:

a) 12 * 6 = 72

b) 3 * 6 = 18. 18 ÷ 2 = 9

c) 3 * 6 = 18. 18 ÷ 2 = 9

d) 72 - 18 = 54

Answer:

1/12

Step-by-step explanation:

dice has 6 sides so the prob of getting 4 is 1/6

coin has 2 sides  so the prob of getting tails is 1/2

Probability of getting both tails and a four simultaneously is = 1/2×1/6=1/12.

hope this helped!

Please mark as Brainliest!

Answer:

1/12

Step-by-step explanation:

The probability of get a 4 in a die is 1/6 because a die has the following numbers 1,2,3,4,5,6 ; we see each number occurs just once hence; 1/6 is the probability.

The probability of getting a tail is 1/2 because there are one tail and one head in a 2 side face coin.

Hence getting a tail and a four is ;

1/6 × 1/2 = 1/12

Answer:

Matched pairs design

Step-by-step explanation:

A matched pair design can be used in a case where the same people are being measured in before-and-after comparison. The same set of people are measured for the amount of sleep each night before the administration of the drugs and after the drug administration and this is used to test for a difference.

Answer:

f(t) =, for>0

-148)=, for 1>0

0 1- 100)=,for>0

of +13)

-25,for1>0

0-5-10

-252, for r>0.

Answer:

Step-by-step explanation:

We would determine the volume of the

pyramid-like paperweight. Formula for volume is expressed as

Volume = mass/density

From the information given,

mass = 400g

Density = 1.61g/cm³

Volume = 400/1.61 = 248.45cm³

The formula for determining the volume of a pyramid us expressed as

Volume = 1/3 × base area × height

From the information given,

Base area = 120 cm²

Volume = 248.45cm³

Therefore,

248.45 = 1/3 × 120 × height

248.45 = 40 × height

height = 248.45/40 = 6.2 cm

Divide total bags by total hours:

30 bags / 3 hours = 10 bags per hour

Answer:

5

Step-by-step explanation:

i took the test

The transitive property states AB = 4.

The transitive property of equality states that the first number is also equal to the third number if two numbers are equal and the second number is equal to the third number. In other words, if a is equal to b and b is equal to c, then a is equal to c. One of the many mathematical properties of equality is the transitive property.

Given AB = x and x = 4

Acc. to transitive property,

if a = b, b = c Then c = a.

so AB = 4

Hence option D is correct, AB = 4.

Learn more about transitive property;

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Answer:

Since there is no change in the height value over that time, the slope is 0

Answer:

-4/2

Step-by-step explanation:

just take 4 and divide it by -2 and youll get the common ratio as-2

Hope it helps

Answer:

y=-2 or y=3

Step-by-step explanation:

Y^2-y-6=0

y^2-3y+2y-6=0

y(y-3)+2(y-3)=0

(y+2)(y-3)=0

y=-2 or y=3

hope it helps

Answer:

4: 3

Step-by-step explanation:

In this case, we have that there is a relationship between width and height, which is 16: 9, which means that any screen that has the same ratio would be an identical screen.

How would we do this? it must either be raised to a power or rationalized on both sides of the ratio.

If we raise to a power, it would give very large dimensions for an HDTV, therefore, it is best to remove the square root on both sides, since it has more common values for a TV.

[tex]\sqrt{16} :\sqrt{9}[/tex]

4: 3

Therefore, a 4: 3 screen is a good choice for an HDTV with the same ratio.

Answer:

Ideiidididid

Step-by-step explanation:

Cici

Correct question:

An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn).

Answer:

The probability that A selects the red ball is 58.33 %

Step-by-step explanation:

A selects the red ball if the first red ball is drawn 1st, 3rd, 5th or 7th

1st selection: 9C2

3rd selection: 7C2

5th selection: 5C2

7th selection: 3C2

9C2 = (9!) / (7!2!) = 36

7C2 = (7!) / (5!2!) = 21

5C2 = (5!) / (3!2!) = 10

3C2 = (3!) / (2!) = 3

sum of all the possible events = 36 + 21 + 10 + 3 = 70

Total possible outcome of selecting the red ball = 10C3

10C3 = (10!) / (7!3!)

         = 120

The probability that A selects the red ball is sum of all the possible events divided by the total possible outcome.

P( A selects the red ball) = 70 / 120

                                         = 0.5833

                                         = 58.33 %

Answer:

  11.5%

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  r = 1 - (6000/26000)^(1/12) = 1 -(3/13)^(1/12) ≈ 1 -0.88498 ≈ 11.5%

The company used a depreciation rate of 11.5%.