Let h(t) =-16t2 + 5t + 1. What is h(1)?

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point (a) :

In this, two points are  exclusive to one another,  it is a probability that first or the  second project will have breaches,

[tex]\to P = P(A) + P(B)[/tex]

       [tex]= 0.3 + 0.25\\\\= 0.55[/tex]

Since the p(A & B)=0  is mutually exclusive.

For point (b):

[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]

       [tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]

For point (c):

 if both a and b are independent:

(a):

[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]

   [tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]

(b):

[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]

   [tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]

Answer:

X= 29

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

Let's solve your equation step-by-step.

−18=−1(x−11)

Step 1: Simplify both sides of the equation.

−18=−1(x−11)

−18=(−1)(x)+(−1)(−11)(Distribute)

−18=−x+11

Step 2: Flip the equation.

−x+11=−18

Step 3: Subtract 11 from both sides.

−x+11−11=−18−11

−x=−29

Step 4: Divide both sides by -1.

-x/1 = -29/-1

hope this helped:')

Answer:

( $ 120 )

Step-by-step explanation:

cause

p they original price given

p - 2p = 96

8 p = 96

p = 120

sana makatulong carry on

Answer:

$30.00 fee

$45.00=total bill

$0.10 per minute of usage

x = minutes used

$30.00 + 0.10 per minute = $45.00

$30.00+$0.10(x) = $45.00

$0.10(x) = $45.00-$30.00 = $15.00

x = $15.00/$0.10 = 150 minutes used

Answer:

X+x =2x

Step-by-step explanation:

I think this ans may help you

Answer:

2x

Step-by-step explanation:

x + x also equals x times 2

Answer:

so (-4/5)^9/(-4/5)^10=−1,25

Answer:

12x

Step-by-step explanation:

3 + 4 + 5 = 12

Answer:

12x

Step-by-step explanation:

we add all of them and we get 12x

Answer:

7/30

Step-by-step explanation:

1/6 = 1x5/6x5

    = 5/30

1/15= = 1x2/1x15

       =2/30

2/30 + 5/30 = 7/30

Answer:

Step-by-step explanation:

18 hours : 48 hours = 3:8

Answer:

You are correct it is A. cos B

Step-by-step explanation:

Answer:

Continuous random variable - The practically infinite number of possible                   values that a random variable can take on in an experiment

Random experiment - The process of observing the outcome of a random   chance event

Probability - The number that quantifies the likelihood that a certain  random event will happen

Sample space -  All possible outcomes that can result from a random experiment

Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.

Statistical inference - The use of information from a sample to draw conclusions about the population

Sample mean - The most commonly used measure of central tendency of a distribution of data

Event - A subset of the sample space

Standard deviation - A measure of the extent to which the values in the data set differ from the mean

Outlier - An observation point that is distant from other observation.

Step-by-step explanation:

option A is the correct answer according to me .

plz mark my answer as brainlist if you find it useful.

Answer:

The answer is B

Answer:

x=6

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases then solve for X.

Hope this helped have a good one.

Answer:

b. Linear Programming model

Step-by-step explanation:

Correct option is b. Linear Programming model.

As we know that, Linear programming model is a technique that used to find the optimal solution of a given problem with the available resources.

Answer:

Given: The mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2

 Mean = 4(x+2)+(2x+3)+(3x+4)+(4x+5)

 ⇒x+2=410x+14

 ⇒4x+8=10x+14   

 ⇒6x=−6   

 ⇒x=−1   

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

https://brainly.com/question/17020135

#SPJ5

Answer:

A

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

___________________________________________________________

FACTS TO KNOW :-

___________________________________________________________

In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.

As they are supplementary angles , their sum will be 180°.

So ,

[tex](3x) + (7x + 40) = 180[/tex]

[tex]=> 3x + 7x + 40 = 180[/tex]

[tex]=> 10x + 40 = 180[/tex]

Substracting 40 from both the sides ,

[tex]=> 10x + 40 - 40 = 180 - 40[/tex]

[tex]=> 10x = 140[/tex]

Dividing both the sides by 10 ,

[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]

[tex]=> x = 14[/tex]

Answer:

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a random sample of 500 employees, 15 reported owning an electric car.

This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]

The standard mean error is calculated by:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]

Then the confidence interval limits can be found by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]

We have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]

Finding the standard mean error:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]

From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758

Thus, the confidence interval is obtained by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Learn more about confidence interval here:

https://brainly.com/question/16427118

P=a*b

a=P/b

a=18/b

Pairs of the solution (only integer numbers):

b=9, a=2

b=2, a=9

b=6, a=3

b=3, a=6

b=18, a=1

b=1, a=18

Answer:

the answers are a and d

Step-by-step explanation:

x+x+x=3x and you can't add a constant (2) to a variable(3x) so it would just be 3x+2

Answer:

28

Step-by-step explanation:

if you asking for  how much it weighs then this is the answer

Answer:

a) We have an aspect ratio of 4:3

This means that the width of the screen, W, is about 4/3 times the height of the screen, H.

Then we have the equation:

W = (4/3)*H

And the diagonal of a rectangle with width W and height H is:

D = √(W^2 + H^2)

Then if we have a 15 in TV, then we have D = 15 in.

Then we have:

15 in = √(W^2 + H^2)

Now we can use the relation W = (4/3)*H and replace this in the above equation:

15 in = √(((4/3)*H)^2 + H^2)

Now we can solve this for H:

15in = √( (16/9)*H^2 + H^2)

(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2

(9/25)*(15in)^2 = H^2

√( (9/25)*(15in)^2) = H

(3/5)*(15in) = H = 9 in

The height is 9 inches, and the width will be:

W = (4/3)*9in = 12in.

Now let's do the same for a 42 in tv.

We can use the same equation than before, this time we get:

42 in = √(((4/3)*H)^2 + H^2)

We can do the exact same procedure as before, and we will get:

(3/5)*(42in) = H = 25.2 in

Then the width is

W = (4/3)*H = (4/3)*25.2in = 33.6 in

b) Now we do the same, but now we have the relation:

W = (16/9)*H

Then if D is the diagonal, we have the equation:

D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)

This time we can simplify it for any general D.

D^2 = (16/9)^2*H^2 + H^2

D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2

D^2 = (337/81)*H^2

(81/337)*D^2 = H^2

√( (81/337)*D^2) = H

(9/18.36)*D = H

Then if we have a 42 in TV, the height is:

(9/18.36)*42in = H = 20.59 in

And the width will be:

W = (16/9)*H = (16/9)*20.59in = 36.60 in

If we have a 60 in TV, we get:

(9/18.36)*60in = H = 29.41 in

And the width will be:

W = (16/9)*H = (16/9)*29.41in = 52.29 in

c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.

Answer:

a = 216

Step-by-step explanation:

Answer:

Company A's cost would be $530

Company B's cost would be $610

difference is $80

Step-by-step explanation:

Answer:

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Answer:

$140

Step-by-step explanation: