Eight adults are surveyed and asked how many credit cards they possess. Their responses are 4, 0, 3, 1, 5, 2, 2, and 3. Complete the table below.
x
x Overbar
x minus x Overbar
(x minus x Overbar) squared
4
2.5

0
2.5

3
2.5

1
2.5

5
2.5

2
2.5

2
2.5

3
2.5


Using the formula for standard deviation
Sigma = StartRoot StartFraction Sigma-summation (x minus x Overbar) squared Over n EndFraction EndRoot
find the standard deviation for the data in the table.
a. StartRoot 0 EndRoot
b. 0
c. 2.25 almost-equals 1.5
d. 2.25

Answer:

D

Step-by-step explanation:

Use triangle inequalities:

7+10>x

x+10>7

x+7>10

Solve these and the conclusion is that it needs to be greater than 3 but less than 17.

Answer:

D) greater than 3 but less than 17

Step-by-step explanation:

The third side must be greater than the difference and smaller than the sum of the two other sides.

10-7=3

10+7=17

so the third side must be greater than 3 and less than 17

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

Answer:

The equation is not correct because the statement indicates that they charged $150 to clean one house which means that the equation showed that the earnings were the result of multiplying the price to clean one house for the number of houses cleaned, which is:

e=150h

As the statement indicates that they plan to raise their fees and they will charge $175 to clean each house, this means that the price changes from 150 to 175 and you have to replace this in the formula and because of this the new equation would be:

e=175h

The equation the owners wrote is not right because it shows that the earnings are equal to a fixed charge of $150 plus a price of $25 for the number of houses and the statement says that the price is $175 for each house so the number of houses cleaned should be multiplied for that price.

Answer:

Step-by-step explanation:

2x + a = bx - 5

3). a ≠ - 5 and b ≠ 2

4). a ≠ - 5 and b = 2

(5) a = - 5 and b = 2

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]

Answer:

x = 52°

Step-by-step explanation:

I have attached an image to depict the given angles.

From the attached image, we can see that the unknown angle is x°.

Thus, since that corner is 90°, then;

x + 38 = 90

Subtract 38 from both sides to get;

x = 90 - 38

x = 52°

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

Answer:

Step-by-step explanation:

Answer:

If you still need help search up Mathaway it gives u the answer to all your problems and it gives a step by step explination

Step-by-step explanation:

Subtract

3

x

2

from both sides of the equation.

7

x

−

3

x

2

=

−

1

Add

1

to both sides of the equation.

7

x

−

3

x

2

+

1

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

−

3

,

b

=

7

, and

c

=

1

into the quadratic formula and solve for

x

.

−

7

±

√

7

2

−

4

⋅

(

−

3

⋅

1

)

2

⋅

−

3

Simplify.

Tap for more steps...

x

=

7

±

√

61

6

The final answer is the combination of both solutions.

x

=

7

+

√

61

6

,

7

−

√

61

6

The result can be shown in multiple forms.

Exact Form:

x

=

7

+

√

61

6

,

7

−

√

61

6

Decimal Form:

x

=

2.46837494

…

,

−

0.13504161

…

The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

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Answer: There is only one solution

6a - 3a - 6 = -2 + 3

3a - 6 = 1

3a = 7

Step-by-step explanation:

Given equation

y = x + 6

Comparing the given equation with y = mx + c so

slope (m) = 1

y-intercept (c) = 6

Hope it will help :)❤

Answer:

A = 254.34

Step-by-step explanation:

Area of a circle formula:

A = πr²

r = d/2 = 9

A = 3.14(9²)

A = 3.14(81)

A = 254.34

Answer:

254.34

Step-by-step explanation:

Good luck!

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

Answer:

B) x=-3

Step-by-step explanation:

-3(4x-2)=42

4x-2=42/-3

4x-2=-14

4x=-14+2

4x=-12

x=-12/4

x=-3

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

-13 + 43 > x -43 + 43

30 > x

Answer:

it is B

Step-by-step explanation:

he is putting in by the 3/5

Answer:

C.

Step-by-step explanation:

Why its C...

You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.

Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.

Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.

Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?

So it would be C

Hope this helps :)

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:

x= -7, x=8

Step-by-step explanation:

factoring method..

f (x) = - x² + 12x - 20

= - x² + 10x + 2x - 20

= - x( x - 10 ) + 2( x - 10 )

= ( x - 10 ) ( -x + 2 )

=> x = 10, x = 2

Answer:

there are 5 halves in 2 1/2

Answer:

5

Step-by-step explanation:

1/2 +1/2 = 1

Answer: the answer should be 5

if you draw a right triangle 12 would be the line that goes up (A) and 13 would be the slanted line (C) so that leaves the bottom line to be C.

hope this helps!

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\12^{2} +B^{2} =13^{2} \\144+B^{2} =169\\-144 -144\\\sqrt{B^{2} } =\sqrt{25} \\ B=5[/tex]

Answer:

A=(-5,-4)

B=(-5,-1)

C=(-2,-1)

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Area: πx r^2

πx2^2

3.14x4

=12.56

so the answear is yes

Answer:

60/500 or 3/25

Step-by-step explanation:

Answer:

100°

Step-by-step explanation:

Supplementary means the sum of the angles is 180°

so we add 4+5 = 9

180/9 = 20

20 now we multiply according to the ratio

20x4:20x5

80:100

the measure of the largest is 100°

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.

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Answer:

Step-by-step explanation:

Formula:

Solve for t:

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%)