f(x)= x2 + 5x at x = 4

​

Answer:

C and D.

Step-by-step explanation:

C is ( 1 , 1 ) and D is ( -2.5 , -1.5 )

Answer:

Her friend got the better deal.

Step-by-step explanation:

For Jillians equation look at

$22.56/4 = $6.39 per CD

For her friends equation look at

$18.45/3 = $6.15 per CD

Jillian's friend got the better deal because she paid less per CD as shown in the equations above.

Answer:

5 people

Step-by-step explanation:

40/7=5.71

Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone

Answer:

Step-by-step explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes

subtract 6 from both sides

Now we divide by 2 on both sides

x= -3 approximately

Answer:

118

Step-by-step explanation:

118.385

  |

ones place

Answer:

118

Step-by-step explanation:

118.385

5 rounds 8 to 9

9 rounds 3 to 4

4 isnt 5 or above so 4 makes 8 stay the same

Answer:

m = 105 / 5 = 21

Step-by-step explanation:

Answer:

a) 0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

b) 0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

c) 0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the Binomial distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

(a) Find the probability that a 100-foor roll has at most 2 flaws.

A certain type of aluminum screen has, an average, one flaw in a 100-foot roll, which means that [tex]\mu = 1[/tex]. Only one roll means that the Poisson distribution is used.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1}*1^{0}}{(0)!} = 0.3679[/tex]

[tex]P(X = 1) = \frac{e^{-1}*1^{1}}{(1)!} = 0.3679[/tex]

[tex]P(X = 2) = \frac{e^{-1}*1^{2}}{(2)!} = 0.1839[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.3679 + 0.3679 + 0.1839 = 0.9197[/tex]

0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

(b) Suppose that I bought 10 200-foot rolls, find the probability that there are exactly 3 rolls that have no flaws in them.

Two parts.

Probability that a single 200-foot roll has no flaw.

This is [tex]P(X = 0)[/tex], Poisson(single 200-foot roll) when [tex]\mu = \frac{200*1}{100} = 2[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

0.1353 probability that a single 200-foot roll has no flaw.

Probability that on 10 200-foot rolls, 3 have no flaws.

Multiple 200-foot rolls means that we use the binomial distribution.

0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]

10 200-foot rolls means that [tex]n = 10[/tex]

We want [tex]P(X = 3)[/tex]. So

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

[tex]P(X = 3) = C_{10,3}.(0.1353)^{3}.(0.8647)^{7} = 0.1074[/tex]

0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

(c) What is the probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]

2 with flaws in the first 14, which is [tex]P(X = 2)[/tex] when [tex]n = 14[/tex]

The 15th has no flaw, with probability of 0.1353. So

[tex]P = 0.1353*P(X = 2) = 0.1353*(C_{14,2}.(0.1353)^{2}.(0.8647)^{12}) = 0.1353*0.2911 = 0.0394[/tex]

0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it

Answer:

.4

Step-by-step explanation:

You divide 2 by 5.

2 ÷ 5 = .4

Answer:

I believe 2/5 as a decimal is 0.4.

Step-by-step explanation:

Make the denominator 10 and then simplify to 4/10 following the answer 0.4.

Answer:

.375 which is 3/8

Step-by-step explanation: If you meant the mixed fraction 2 1/4 divided by 6 then that is the answer! 2 1/4 =2.25 and divide it by 6 and you get 0.375

Answer:

3/8

Step-by-step explanation:

convert mixed numbers to improper fractions

21/4 = 9/4

convert element to fraction

6=6/1

9/4 divided by 6/1

apply the fraction rule (hope you're familiar)

9/4 * 1/6

cross- cancel common factor 3

3*1 = 3

4*2 = 8

multiply the numbers

3/ 4*2

3/8

Answer: for number 1 its negative 14

Step-by-step explanation:

Answer:

3/4 of an hour

Step-by-step explanation:

the longest is 1 hour. the shortest is 1/4 of an hour. 1 minus 1/4 is 3/4

Answer:

2nd option ,

A is correct, B is incorrect, C is correct

Answer:

532.79yards²

Step-by-step explanation:

Surface area of a pyramid = A + 1/Ph

A is the base area

P is the perimeter of the base

h is the height of the pyramid

Given the following

Height of triangular base = 17.3yards

Base of the triangle = 20yards

Height of prism = 12yards

Base Area = 1/2 × 20×17.3

Base Area = 10×17.3

Base Area = 173yd²

For the Perimeter P

Get the slant height using Pythagoras theorem

s² = (20/2)²+17.3²

s² = 10²+17.3²

s² = 100+299.29

s² = 399.29

s = √399.29

s = 19.98

Perimeter = 19.98+19.98+20

Perimeter = 59.96yards

Substitute

Surface Area = 173+1/2((59.96)(12)

Surface Area = 173+6(59.96)

Surface Area = 173+359.79

Surface Area = 532.79yards²

Answer:

probably 66, because if m<CDA = 66 then so does m<BCD because they're both the same lengths

Answer:

Step-by-step explanation:

Answer:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Step-by-step explanation:

Given

[tex]3\sqrt{6x^2[/tex]

Required

Express as a radical

Split

[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]

[tex]\sqrt{x^2} = x[/tex]

So:

[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]

This gives:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Answer:

It's C. g(x) = (1.6)x − 9 + 5

Step-by-step explanation: hope it helps ^w^

Answer:

the second is correct

Step-by-step explanation:

choose as brainliest

Answer:

81

Step-by-step explanation:

all sides are equal if square 9 x 9 = 81

Answer:

81m^2

Step-by-step explanation:

Area = length × height

Answer:

Perimeter = 12.246 units

Area = 11.314 units²

Step-by-step explanation:

A=2√2r²=11.314

P=2(8)(√2-√2)=12.246

Answer:

x1 = √(509) /100 + 3/10

x2  = -√(509) /100 + 3/10

Step-by-step explanation:

We do completing the square as follows:

1. Put all terms with variable on one side and the constants on the other side.

5x^2 - 3x = 25

2. Factor out the coefficient of the x^2 term.

5(x^2 - 3x/5) = 25

3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other  side we add 9/20.

5(x^2 - 3x/5 + 9/100) = 25 + 9/20

4. We simplify as follows:

5(x^2 - 3x/5 + 9/100) = 25 + 9/20

5(x - 3/10)^2 = 509/20

(x - 3/10)^2 = 509/100

x1 = √(509) /100 + 3/10

x2  = -√(509) /100 + 3/10

Answer: b. 8

Step-by-step explanation: I don’t have work

The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.

Since

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.

Also we know that

Area of the sector = [tex]65 / 360 *[/tex] Area of circle

[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]

r = 8

Hence, The radius of the circle in inches should be considered as the 8.

Learn more about circle here: https://brainly.com/question/15593101

Answer:

a 15

b 42

c 12

trust me

Answer:

[tex]105km[/tex]

Step-by-step explanation:

It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.

[tex]2.5 : 15 = 17.5 : x[/tex]

Cross products,

[tex]262.5 = 2.5x[/tex]

Inverse operations,

[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]

Answer:

1. 40

2. -25

Step-by-step explanation:

I'm sure this is the answer

Answer:

No clue, but i would recommend using desmos,  mathpapa, quizlet,

Step-by-step explanation:

Step-by-step explanation:

Distance = positive value

a + a = 2a

Answer:

I think its 0

Step-by-step explanation:

becuase if you add the same number but on is negative and the other is positve it is always a 0.

Example:

10 + (-10) = 0

Answer:

y = 1/2x - 4

Step-by-step explanation:

The x-intercept is when y = 0, so it would be:

-x  + 2 * 0 = 4

-x = 4

x = -4

That means the x-intercept is (0, -4)

The parallel line would have the same slope as this one, so:

[tex]-x+2y = 4\\2y = x + 4\\y = 1/2x + 2[/tex]

The parallel line has a slope of 1/2

So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)

Put it in point slope form:

y - (-4) = 1/2(x - 0)

y + 4 = 1/2x

y = 1/2x - 4

Answer:

because,

we know Formula for finding Area of Trapizm.

That is,

1/2 × Sum of length of parallel sides × Height.

Here, we have 2 congruent Trapizm.

so,

Lengths of parallel sides = 16 and 20.

16 + 20 = 36.

Height = 7 cm.

Using Formula.

1/2 × 36 × 7

18 × 7

126 cm²

Here, we have two Trapizm...

so that..

126 × 2 = 252cm².

Answer:

252cm².

Step-by-step explanation:

I took the test