f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10

Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =​

Answer:

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume the probability that a given registered voter will vote in the presidential election is 61%.

This means that [tex]p = 0.61[/tex]

152 registed voters:

This means that [tex]n = 152[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = 152*0.61 = 92.72[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01[/tex]

Probability that no less than 95 out of 152 registered voters will vote in the presidential election.

This is, using continuity correction, [tex]P(X \geq 95 - 0.5) = P(X \geq 94.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 94.5. So

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

[tex]Z = \frac{94.5 - 92.72}{6.01}[/tex]

[tex]Z = 0.3[/tex]

[tex]Z = 0.3[/tex] has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Answer:

see explanation

Step-by-step explanation:

f(x + 2) is a horizontal translation of f(x) 2 units to the left

f(x - 2) is a horizontal translation of f(x) 2 units to the right

Given

f(x) = x³ , then

f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left

f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right

Answer:

it is actually a very simple question first you add 4+9=13 then you multiply 5 times 13 which gets you the answer of 65

Answer:

10

Step-by-step explanation:

10 / 2 = 5

(2x4) = 8

(5 + 8) - 3

13 - 3

10

Answer:

10

Step-by-step explanation:

5+8-3=10

9514 1404 393

Answer:

  $364,130.83

Step-by-step explanation:

You put in $160 monthly for 32 years, so your contribution is ...

  $160×12×32 = $61,440

The difference between the account balance and your contribution is ...

  $425,570.83 -$61,440 = $364,130.83

There is $364,130.83 more in the account than what you put in.

Answer:

B

Step-by-step explanation:

So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!

Answer:

37.68 Inches cubed (A)

Step-by-step explanation:

The formula for a cylinder is:

πr^2(h)

First, let's find the radius, which is:

4/2 = 2

Now, we can plug in the values:

3.14(2)^2(3)

Do exponents first:

3.14(4)(3)

Multiply left to right:

12.56(3)

Again:

37.68 Inches

So, the answer is:

37.68 Inches cubed (Or A)

Hope this helps!

Answer:

the answer is 16

Step-by-step explanation:

8/2=4

4*4=16

Answer:

x = 15

y = 13

Step-by-step explanation:

6x - 4 = 5x + 11

x = 15

4y + 3 + 3y + 86 = 180

7y = 91

y = 13

Answer:

what school you do

Step-by-step explanation:

what grade

4m - - - - >4x10=40m^2

6m - - - - >6x10=60m^2

First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.

Check the value of f(x) at these endpoints:

f (0) = 0

f (1) = 0

Take the derivative of f(x) :

[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]

[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]

For x ≠ 0, we can eliminate the √x term in the denominator:

[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]

f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :

√x (3 - 4x) = 0

√x = 0   or   3 - 4x = 0

The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.

Answer:

Step-by-step explanation:

Given,

Radius of the cylinder = 3cm

Height of the cylinder = 3cm

Therefore,

Lateral surface area of the cylinder

[tex] = 2\pi rh[/tex]

[tex] = 2\pi \times 3 \times 3 {cm}^{2} [/tex]

[tex] = 2\pi \times 9 {cm}^{2} [/tex]

[tex] = 18\pi {cm}^{2} [/tex]

Hence,

The required value in the green box will be 18 (Ans)

Answer:

18 pi

Step-by-step explanation:

hop this helps

Answer:

30

Step-by-step explanation:

the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30

Answer:

Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.

Answer:

3. -1/4

Step-by-step explanation:

Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4

Answer:

well as a percent its 23.92

Step-by-step explanation:

I'm not 100% sure, but imma have a go.

Answer:

a = 261; b = 253

Step-by-step explanation:

label candy bar A as a

label candy bar B as b

Make 2 equations.

2b + a = 767          (1)

b + 2a = 775          (2)

Solve for a in (1)

2b + a = 767          (-2b)

a = -2b + 767

Substitute for into (2)

b + 2( -2b + 767 ) = 775     (flip)

2( -2b + 767 ) + b = 775     (solve)

   −4b + 1534 + b = 775     (add b)

          -3b + 1534 = 775     (subtract 1534 from both sides)

                     −3b = −759   (divide both sides by 3)

                         b = 253

Substitute b into (1)

      a = -2b + 767              (substitute)

      a = -2 (253) + 767      (solve)

      a = -506 + 767           (add)        

      a =  261

Gravitational force = (gravity x mass1x mass2)/distance^2

6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2

D = sqrt(6.0x10^-10/6.67x10^-11 x81)

D = 3.0 m

The answer is B.3.0 m

Answer:

B

Step-by-step explanation:

3.0 m

Answer:

Left yes

right no

Step-by-step explanation:

that goes for top and bottom

Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

Answer:

120 feet is the answer

Answer:

Step-by-step explanation:

we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]  (where r is the radius, NOT the diameter, easy to confuse)

the radius of the inner circle is 2.5. which  is half of the diameter of 5

inner circle = [tex]\pi[/tex]*(2.5)^2

inner circle =  19.6349...

outer circle = [tex]\pi[/tex]*(10^2)

outer circle = 314.1592...

the ratio is    19.6349... /  314.1592...  = 0.0625

0.0625 = 6.25%

= 6% ( rounded to nearest whole number )

Answer:

Histogram is the correct answer

MARK AS BRAINLIEST PLEASE.

The type of graph used is Bar graph.

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

As, per the given data,

the best way to represent the data is Bar graph.

The data is a primary data and for such type of data Bar graph is used,

Learn more about Bar graph here:

https://brainly.com/question/8644324

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