Do the functions have the same concavity? f(x)=-x^2+40x+120f(x)=−x 2 +40x+120

Answer:

No

Step-by-step explanation:

To form a proporion, both would need to be a multiple of the same thing, whcih they aren't

Answer:

80%

Step-by-step explanation:

Answer:

you would get 1.2

Answer:

Step-by-step explanation:

exact form 6/5

decimal form 1.2

mixed number form 1 1/5

Answer:

a) 0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

b) 0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Step-by-step explanation:

For each women, there are only two possible outcomes. Either they visit their doctors for a physical examination at least once in two years, or they do not. The probability of a woman visiting their doctor at least once in this period is independent of any other women. This means that we use the binomial probability distribution to solve this question.

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.

70% of adult women visit their doctors for a physical examination at least once in two years.

This means that [tex]p = 0.7[/tex]

20 adult women

This means that [tex]n = 20[/tex]

(a) Fewer than 14 of them have had a physical examination in the past two years.

This is:

[tex]P(X < 14) = 1 - P(X \geq 14)[/tex]

In which

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

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

[tex]P(X = 14) = C_{20,14}.(0.7)^{14}.(0.3)^{6} = 0.1916[/tex]

[tex]P(X = 15) = C_{20,15}.(0.7)^{15}.(0.3)^{5} = 0.1789[/tex]

[tex]P(X = 16) = C_{20,16}.(0.7)^{16}.(0.3)^{4} = 0.1304[/tex]

[tex]P(X = 17) = C_{20,14}.(0.7)^{17}.(0.3)^{3} = 0.0716[/tex]

[tex]P(X = 18) = C_{20,18}.(0.7)^{18}.(0.3)^{2} = 0.0278[/tex]

[tex]P(X = 19) = C_{20,19}.(0.7)^{19}.(0.3)^{1} = 0.0068[/tex]

[tex]P(X = 20) = C_{20,20}.(0.7)^{20}.(0.3)^{0} = 0.0008[/tex]

So

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.6079[/tex]

[tex]P(X < 14) = 1 - P(X \geq 14) = 1 - 0.6079 = 0.3921[/tex]

0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

(b) At least 17 of them have had a physical examination in the past two years

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

From the values found in item (a).

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.107[/tex]

0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Answer:

150 inches

Step-by-step explanation:

C=2πr

2·π·24 ≈ 150.79645

Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

A circumference gives the length around a circular object, it is the perimeter used for the circular objects.

Given that a circular tablecloth has a radius of 24 inches, we need to find the length around it,

So, the length around a circular object is its circumference,

We know that circumference of the circular object = π × diameter,

Diameter = 2 × radius = 48 inches.

So, the length around the circular cloth = π × 48

= 3.14 × 48
= 150.72

Hence Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

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Answer:

7

Step-by-step explanation:

2x-5 + 2x-7 = 12

this is because the length of the line is given to be 12

so the sum of the two equations should be 12

2x+2x -5-7 = 12

4x - 12 = 12

4x = 12+12

4x = 24

x = 6

there TU = 2x-5 =2(6) -5 =12-5=7

TU = 7

Answer:

756

Step-by-step explanation:

Answer:

756

Step-by-step explanation:

(7.2×105)(0.4×10−3)

Multiply 7.2 and 105 to get 756.

756(0.4×10−3)

Multiply 0.4 and 10 to get 4.

756(4−3)

Subtract 3 from 4 to get 1.

756×1

Multiply 756 and 1 to get 756.

756

Answer:

28,980

Step-by-step explanation:

Easy claps my boiiiiiiiii

Hail Hydra

Answer:

-12 and -1

Step-by-step explanation:

(-12)+ (-1)= -13

and -12x-1=12. as - x -=+ (minus x minus=plus)

Answer:-1 and -12

Step-by-step explanation:

-12*-1= 12

-12+(-1)=-13

Answer:

b•h/2

12.8•9/2=57.6

area of the triangle is 57.6

12.8•18.5=236.8

area or rectangle is 236.8

the total area is 57.6+236.8=294.4

I hope this right

Answer:

what is this ?!?!?!?!

Step-by-step explanation:

btw can u be more specific so i can properly help u

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

Answer:

Equal sides and Equal angles

Step-by-step explanation:

Answer:

sience -2 is to the left of 2

_

. 3

Answer:

5 + g

Step-by-step explanation:

The sum of 5 and g,

5 + g

Answer:

B is the correct answer

Step-by-step explanation: When you add 18+54+24=96 divide 96 by 3 and its 32!

Answer:

depth

Step-by-step explanation:

far is a describing distance

deep is describing depth

Answer:

x=23

Step-by-step explanation:

solved the variable

Answer:

x = 23

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 3x + 3 + 85 = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

Answer:

the answer is 3.

Step-by-step explanation:

A = L* W

when you are given the area and the width you need to divide the area by the width to find the length.

So 60/20=3

Given:

45 people will accomplish the given task in 15 days.

To find:

Days taken by 15 people to complete the same task.

Solution:

Since, 45 people of a company can finish a work in 15 days

Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]

                                                                                        = [tex]675[/tex] days

15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]

                                                                                                    = [tex]45[/tex]

Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.

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Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Answer:

6

Step-by-step explanation:

I found that the greatest common factor for those numbers is 6

Answer:

the 3rd one

Step-by-step explanation:

Answer:

it's the 7 one

Step-by-step explanation:

math has patterns if you follow the patterns you can see the symbol and the 7 look alike. stuff like this works for me a lot but I don't know f it'll work this time. If it doesn't I'm sorry I tried.

Surface area is 1256.64

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that [tex]\frac{sin(a)}{A} =\frac{sin(b)}{B}[/tex]. That means that [tex]\frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}[/tex]. Multiplying 8 to both sides gives us [tex]\frac{8sin(60)}{4\sqrt{6} }=sin(b)[/tex]. By using inverse of sin, we get [tex]b = sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } )[/tex]. Plugging that into a calculator gives us b=45 degrees.

Through the use of the data given, the histogram can be classified as the histogram is not symmetrical.

The histogram is not symmetrical if it is or has skewed distribution.

This is said to be when a distribution is said to not have any mirror-imaging. and as such, through the use of the data given, the histogram can be classified as the histogram is not symmetrical.

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Answer:

Option 2, v plus 5 greater or equal than 9

Step-by-step explanation:

For inequality represented by option 2 i.e v plus 5 greater or equal than 9

v+5 >= 9

If we put v =4 in above inequality, we get

4+5>= 9

9>= 9

Hence, option 2 is correct

Answer:

Option 2

Step-by-step explanation: