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Answer:

43/120 ≈ 0.3583

Step-by-step explanation:

Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...

 21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities

The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...

43/120 ≈ 0.3583

_____

The given numbers add up as follows:

 Gym only: 42

Pool only: 18

Track only: 14

Gym and Pool only: 12

Gym and Track only: 15

Pool and Track only: 7

Gym and Pool and Track: 9

No facilities: 3

Answer:

50 days

Step-by-step explanation:

5/3 = 50/30

pls brainliest

26-4s=9s

⇔26=9s+4s

⇔26=13s

⇔s=2

Answer:

s = 2

Step-by-step explanation:

26 - 4s = 9s

add 4s to 4s and 9s

that equals 13

26/13 = 13s/13

s = 2

Answer:

I would say B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a trapezoid is the average of the parallel bases times the height or distance between the two bases

A=h(b1+b2)/2

Here we have h=8cm, b1=6cm, and b2=11cm so

A=8(6+11)/2

A=8(17)/2

A=4(17)

A=68 cm^2

Answer:

x= 49.1

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

3

Step-by-step explanation:

If you count the units its three units away from each other.

Answer:

x=-2

Step-by-step explanation:

[tex]\sqrt{x+3}+4=5[/tex]

subtract 4 from each side

[tex]\sqrt{x+3} +4-4=5-4[/tex]

square both sides

[tex]\sqrt{x+3}^2=1^2[/tex]

so we have

[tex]x+3=1[/tex]

subtract 3 from each side

[tex]x+3-3=1-3[/tex]

so our answer is [tex]x=-2[/tex]

Answer:

what is this a maths problem

The fair share measure would mean that the score of 72 would be the score all 27 students got on the test if they all had the same score.

A fair share measure of the center of the test scores is 72 be the score all 27 students got on the test.

We have given that

a class of 27 students had a mean of 72 on a test,

An equitable or reasonable portion or share of something

The fair share measure would mean that a score of

72 be the score all 27 students got on the test.

If they all had the same score.

Therefore 72 was the score all 27 students got on the test.

To learn more about the fair share visit:

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Answer:

Step-by-step explanation:

1. 2

2. 3

3. 6

4. 2

5. 4

Answer:

A=(-5,-4)

B=(-5,-1)

C=(-2,-1)

Step-by-step explanation:

Answer:

A is , 18.1058 B is  , 24.91575

Step-by-step explanation:

A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

Answer:

[tex]Rate = 0.935042^\circ /cm[/tex]

Step-by-step explanation:

Given

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]T(x,y) =x\sin2y[/tex]

[tex]r = 1m[/tex]

[tex]v = 2m/s[/tex]

Express the given point P as a unit tangent vector:

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]

Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]

Where

[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]

So: the gradient becomes:

[tex]\triangle T = \nabla T * u[/tex]

[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]

By vector multiplication, we have:

[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]

[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]

[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]

[tex]\triangle T = 0.935042[/tex]

Hence, the rate is:

[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]

Answer:

The standard deviation of the number of females in the sample is 3.21.

Step-by-step explanation:

For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.

Standard deviation of the hypergeometric distribution:

We have that:

N is the population size.

n is the sample size.

s is the number of successes in the sample.

The standard deviation is given by:

[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]

A small liberal arts college in the Northeast has 350freshmen.

This means that [tex]N = 350[/tex]

One hundred five of the freshmen are female.

This means that [tex]s = 105[/tex]

Suppose sixty freshmen are randomly selected

This means that [tex]n = 60[/tex]

Find the standard deviation of the number of females in the sample.

[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]

The standard deviation of the number of females in the sample is 3.21.

Answer:

nine z plus nine z.

lol tell me.if.its wrong

Answer:

We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms

Step-by-step explanation:

Given the data :

8.25 7.35 9.05 8.00 8.25 8.75 9.00 7.60 8.45 8.55

Using calculator :

Mean, x = 8.325

Standard deviation, s = 0.560

Null hypothesis :

H0: μ = 8

H1 : μ > 8

The test statistic,

(x - μ) / (s/sqrt(n))

(8.325 - 8) / (0.56 / sqrt(10))

0.325 / 0.177

= 1.835

The Pvalue ; using the Tstatistic calculator ;

α = 0.05 ; df = 10 - 1 = 9

Pvalue = 0.04985

Reject H0 ; if Pvalue is < α

Hence, since 0.04985 < 0.05 ; we reject H0

. We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms

Answer:

so 7*4 is 28 and 7*1/3 is 2 an 1/3 so it would be 30 and 1/3

Step-by-step explanation:

Answer:

y = - ( x + 2 )² + 14

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = a(x - h)² + k (where (h, k) are coordinates of the vertex.

h = - [tex]\frac{b}{2a}[/tex]

~~~~~~~~~~~~

f(x) = - x² - 4x + 10

a = - 1, b = - 4, c = 10

h = - [tex]\frac{-4}{2(-1)}[/tex] = - 2

k = - ( - 2)² - 4( - 2) + 10 = 14

(h, k) = ( - 2, 14 )

y = - ( x + 2 )² + 14

Answer:

A. 1⅛ + m = 2⅔

[tex] m = 1\frac{13}{24} [/tex]

Step-by-step explanation:

Cups of milk at breakfast = 1⅛

Cups of milk after breakfast = m

Total cups of milk by the end of the day = 2⅔

Thus:

Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast

Therefore:

1⅛ + m = 2⅔ (equation)

Solve for m

Subtract 1⅛ from each side

m = 2⅔ - 1⅛

Convert to improper fraction

m = 8/3 - 9/8

m = (64 - 27)/24 = 37/24

[tex] m = 1\frac{13}{24} [/tex]

Step-by-step explanation:

Any answer that involes,

Step 1: Complete the Square

[tex] {x}^{2} - 10x = 39[/tex]

[tex]( \frac{ - 10}{2} ) {}^{2} = 25[/tex]

[tex] {x}^{2} - 10x + 25 = 64[/tex]

Step 2: Turn the left side into a binomial

[tex](x - 5) {}^{2} = 64[/tex]

Step 3: Solve for x.

[tex]x - 5 = + - 8[/tex]

[tex]x - 5 = 8[/tex]

[tex]x = 13[/tex]

OR

[tex]x - 5 = - 8[/tex]

[tex]x = - 3[/tex]

X=-3 or X=13

Answer:

x= 27

Step-by-step explanation:

1. 12 (i think)

i don't know about question 2

Answer: -8 > -6

Step-by-step explanation:

Answer:

P(not landing on blue section)=2/3

Step-by-step explanation:

Not landing on blue section = landing on one of the other sections

the remaining sections are 2 each one has a P=1/3

2 × 1/3 = 2/3

Answer:

66%

Step-by-step explanation:

2 divided by 3= 0.666666666 which is then converted to percent (66%)

Answer:

Step-by-step explanation:

Formula:

Solve for t:

Answer:

B. Parallelogram

Step-by-step explanation:

The opposite sides of the quadrilateral are equal and so the quadrilateral is a rectangle, the correct option is A.

A quadrilateral is a polygon with four sides.

The coordinates of a quadrilateral are:

A(7,0), B(3, 1), C(4,7), and D(8, 6)

The distance between the coordinates has to be determined to identify the type of quadrilateral

The distance formula is

[tex]\rm D = \sqrt { ( x- x_1)^2 + (y-y_1)^2}[/tex]

[tex]\rm AB = \sqrt { (3-7)^2 + (1-0)^2}\\AB = \sqrt { 17}[/tex]

[tex]\rm BC = \sqrt { ( 1)^2 + (6)^2}\\BC = \sqrt {37}[/tex]

Similarly,

[tex]\rm CD= \sqrt { 17}\\\\AD = \sqrt{37}[/tex]

The opposite sides of the quadrilateral are equal and so it is a rectangle.

To know more about Quadrilateral

https://brainly.com/question/13805601

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Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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 the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

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

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that [tex]n = 5[/tex]

a. All five qualify for the favorable rate

This is P(X = 5). So

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

[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]

So

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

[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]

[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]

0.5283 = 52.83% probability that at least four qualify for the favorable rates