Consider the probability that no more than 76 out of 504 computers will crash in a day. Choose the best description of the area under the normal curve that would be used to approximate binomial probability.

a. Area to the right of 75.5
b. Area to the right of 76.5
c. Area to the left of 75.5
d. Area to the left of 76.5
e. Area between 75.5 and 76.5

Answer:

-1

Step-by-step explanation:

f(x) = x²+3x+1

f(a) = a²+3a+1

f'(a) = 2a+3

putting a = -2

2×(-2)+3

= -4+3

= -1

Answer:

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²[/tex]

Step-by-step explanation:

Given

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y)[/tex]

Required

Simplify

We have:

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y)[/tex]

Open brackets

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²+xy+5x - 2x\²-2xy-10 + xy + y\²[/tex]

Collect like terms

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²- 2x\²+xy-2xy+ xy+5x -10 + y\²[/tex]

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²[/tex]

Answer:

29/44

Step-by-step explanation:

[tex]\frac{4}{11} +\frac{5}{22} +\frac{3}{44} =\\[/tex]

-find the common denominator

[tex]\frac{4*4}{4*11} + \frac{2*5}{2*22} +\frac{3}{44} =[/tex]

[tex]\frac{16}{44} +\frac{10}{44} +\frac{3}{44} =[/tex]

-add the fractions and solve

[tex]\frac{16+10+3}{44} =[/tex]

[tex]\frac{29}{44}[/tex]

Answer:

(6,-6)

Step-by-step explanation:

First let's identify the current coordinates of D

It appears that D is located at (2 , -2)

Now let's find the coordinate of D if it were dilated by a scale factor of 3.

To find the coordinates of a point after a dilation you simply multiply the x and y values of the pre image coordinates by the scale factor

In this case the scale factor is 3 and the coordinates are (2,-2)

That being said let's apply the dilation rule

Current coordinates: (2,-2)

Scale factor:3

Multiply x and y values by scale factor

(2 * 3 , -2 * 3) --------> (6 , -6)

The coordinates of D' would be (6,-6)

9,027,448

9027448

9027448

9027448

Answer:

20 students

Step-by-step explanation:

Step 1:

Calculate the percentage of students who brought oranges by taking away the percentage of students who brought bananas and apples from the total percentage of students.

100-(20+35)

=45

Step 2:

Equate the percentage of students who brought oranges to the number of students who brought oranges

45%=9

100%

(100×9)/45

=20 students

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )² to x² - 2x

x² + 2(- 1)x + 1

(x² - 2x + 1 = (x - 1)²

Answer:

Hi Keke,

Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.

x + (x-8) + 4(x-8) = 152

6x - 40 = 152

6x = 192

x = 32

Amy has $32

Jose has 32 - 8 = $24

Milan has 4*24 = $96

Answer:

look at the value of f(x) carefully when we put 7 from x the x take 2 value

Step-by-step explanation:

And g(x) function take 4 value. please look at the first option it has extra 2 so 2 plus 2 equal to 4 this means that the answer might be A. But look at D option it multiply by 2 so D option might be correct answer but we need some info and I want to continue. When I put 1 from x f(x)=1 and g(x)= 2 but when we look at the first option it is 1+2 equal to 3 but it must be 2 so the correct answer is not A and the correct answer is D

Answer:

5+(-3x)

Step-by-step explanation:

"5 increased by" means you are going to be adding 5 to something.

"product of -3 and x" means that you multiply -3 by x, creating (-3x)

The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as,

⇒ -3 × x = -3x

⇒ -3x + 5

Hence, the given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.

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Answer:

allows us to accept the null hypothesis

Explanation:

The z test(in a normal distribution) score for the critical region determines whether we reject the null hypothesis(H0) or accept the null hypothesis(reject or fail to reject the null hypothesis). If we fail to reject the null hypothesis, then we have accepted the alternative hypothesis (H1). The critical region rejection for z test is calculated using alpha and z score, if z score is greater or less than alpha(positive or negative), we reject the null hypothesis.

Find the speed of the truck:

140 miles / 3.5 hours = 40 miles per hour

The car was 20 miles an hour faster: 40 + 20 = 60 miles per hour.

Divide distance by speed: 140 miles / 60 miles per hour = 2 1/3 hours

Answer: 2 1/3 hours

Answer: 2 2/6 hours

Explanation:

Distance = 140 miles

Time = 3 1/2 hours

= 7/2 hours

Speed = Distance/Time

= 140/(7/2)

= 40 miles

New distance = 140 Miles

New Speed = 60 miles

New Time = 140/60

= 2 2/6 hours

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Answer:

Step-by-step explanation:

Begin the solution by squaring both sides of the given equation.  We get:

(3x - 4)^2 = 2x^2 - 2x + 2, or:

9x^2 - 24x + 16 = 2x ^2 - 2x + 2

Combining like terms results in:

7x^2 - 22x + 14 = 0

and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92

According to the quadratic formula, the solutions are

       -b ± √discriminant           -(-22) ± √92             22 ± √92

x = ------------------------------- = ----------------------- = ------------------------

                   2a                                   14                            14

[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]

Slope: 0

y - intercept: (0, -3)

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[tex]\color{pink}{==========================}[/tex]

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Answer and Step-by-step explanation:

The answer is 1722.1 x [tex]10^8[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

1.72x10^10

Step-by-step explanation:

POSITIVE EXPONENT: means a number is huge

NEGATIVE EXPONENT: indicates a number is teeny-tiny

Answer:

1/ab en (c/be^-x+c)

Step-by-step explanation:

Sure is a harsh question! Here's my Explanation

b+ce^x = t

ce^x an = dt

e^xan = dt/c

an = dt/ce^x = dt/c(t-b/c) = at/(t-b)

en = t-b/c

A/b+ce^x dx = a/t dt/t-b

a ∫1/t (t-b) dt = 1/a∫ (1/(t-b) - 1/t) dt

= 1/ab [∫1/(t-b) dt + ∫-1/t dt]

= 1/ab [en (t-b) - en(t)]

= 1/ab en ((t-b)/t)

t = b + ce^x

= 1/ab en (b+ce^x -b/b+ce^x)

=1/ab en (ce^x/b+ce^x)

= 1/ab en (c/be^-x+c)

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  $40,750

Step-by-step explanation:

Leaving out the extra words, the question is asking you to find 25% of $163,000.

  0.25 × $163,000 = $40,750

The assessed value is $40,750.

Given that,

→ Rate for assessed value = 25%

→ Market value = $ 163,000

We have to find,

→ 25% of $ 163,000

Then value of 25% is,

→ 25 ÷ 100

→ 0.25

Let's find the assessed value,

→ 25% × $ 163,000

→ 0.25 × 163,000

→ 40750

Thus, $ 40750 is assessed value.

Answer:

Step-by-step explanation:

f(x) + g(x) = 3x + 5 + 4x^2 - 2

f(x) + g(x) = 4x^2 + 3x + 3

f(x) + g(x) - h(x) = 4x^2 + 3x + 3 - (x^2 - 3x + 1)  Remove the brackets.

f(x) + g(x) - h(x) = 3x^2 +3x + 3 - x^2 + 3x - 1     Collect like terms

f(x)+g(x) - h(x) = 2x^2 + 6x + 2

Answer:

f(x)=3x^2+6x+2

Step-by-step explanation:

Step-by-step explanation:

Given problem is to find nearest number,

= 8888888/2915

quotient = 3049

remainder= 1053

Now, 2915-1053 = 1862

8888888+1862 = 8890750

8888888-1053 = 8887835

Two numbers nearest to 8888888 which are exactly divisible by 2915 is 8887835 and 8890750

Answer:

p(x,y)= (4,-3)

Step-by-step explanation:

all explainations are in the picture below.

Answer:

32cm

Step-by-step explanation:

The area of sqaure is a^2

Side will be

underroot of 64 =8

Premeter of sqaure is 4a = 4×8 = 32cm

first we need to find length.

here.

Area= 64cm^2

or, 64= l^2

using formula area = length × length

therefore solving we get ,

length = 8 cm.

now,

perimeter = 4l

= 4 × 8 cm.

= 32 cm..........

Answer:

6

Step-by-step explanation:

c(2)=(-9/2)*(-4/3)^(2-1)=(-9/2)*(-4/3)=6

the slope-intercept form of the given equation is y = x/3 + 8.

The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. The coordinate plane describes the slope of the line.

The slope-intercept form of a line is Y = m*X +C.

Given an equation 3x-9y = -72, which we will try to make in the slope-intercept form by using simplification.

3x-9y = -72

9y = 3x + 72

y = 1/3 * x + 8

Therefore y = x/3 + 8 is the slope-intercept form of the given equation.  where its slope is 1/3.

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Answer:

D

Step-by-step explanation:

let the width = w

w = w

L = 4 + w

Area = 4*w + 25 = L * w

4w + 25 = L * w                  Substitute for the length

4w + 25 = (w*(w + 4))

4w + 25 = w^2 + 4w          Subtract 4w from each side

w^2 = 25                            Take the square root.

w = +/- 5

- 5 has no meaning.

w = 5

Answer:

240 ft²

Step-by-step explanation:

Surface area of a rectangular prism is,

2(lw+wh+hl)

= 2(7×6+6×6+6×7)

= 240 ft²

Answer:

assuming youre asking for line of symmetry, it's a line that cuts a shape exactly in half.  

for example, a square has 4 lines of symmetry

Answer:

The 95 % confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment is (0.461, 0.543), considering [tex]n = 1000[/tex]

Step-by-step explanation:

Incomplete question, so i will suppose this is a sample of 1000.

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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Of the n respondents, 502 replied that America is doing about the right amount.

Supposing [tex]n = 1000[/tex], so [tex]\pi = \frac{502}{1000} = 0.502[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.502 - 2.575\sqrt{\frac{0.502*0.498}{1000}} = 0.461[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.502 + 2.575\sqrt{\frac{0.502*0.498}{1000}} = 0.543[/tex]

The 95 % confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment is (0.461, 0.543), considering [tex]n = 1000[/tex]

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

12

,

67.45

)

Equation Form:

x

=

12

,

y

=

67.45