The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years. It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university. Assume that the proportion of students who own a cell phone at this university is the same as nationwide. Let X = the number of students in the sample of 15 who own a cell phone.
1. What is the appropriate distribution forX? **N = Normal, B = Binomial?
A. X is M(15, 0.9).
B, X is B(15, 09).
C. Xis B(15, 13.5).
D. Xis N(13,5, 1.16).
2. On average, how many students will own a cell phone in a simple random sample of 15 students?
a. 9.
b. 13
c. 13.5.
d. 14 17.
3. What is the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students?
a. 0.077.
b. 0.09.
c. 1.16.
d. 1.35.
4. What is the probability that all students in a simple random sample of 15 students own a cell phone?
a. 0.
b. 0.1.
c. 0.206.
d. 0.9.

Answer:

a)Amount of money left on Keith's card in dollars = $90 - $15x

= $(90 - 15)

b) Amount of money left on Mary's card in dollars= $110 - $20x

= $(110 - 20x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$90 - 15x = $110 - 20x

Step-by-step explanation:

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Keith

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Keith's card after purchasing x pizzas =

$90 - $15x

For Mary,

Mary received a gift card of $110 for a different pizza restaurant. The restaurant charges $20 per pizza.

Hence, x number of pizzas cost =$20 × x

= $20x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$110 - $20x

Amount of money left on Keith's card in dollars = __________

Amount of money left on Mary's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$90 - 15x = $110 - 20x

Collect like terms

-15x + 20x = $110 - $90

5x = 20

x = 20/5

x = 4

Hence, anytime Keith and Mary buys 4 pizzas their gift card will have the same amount of money left on them.

Answer:

2208

Step-by-step explanation:

So first we can write this as 4(500+50+2)

Then we distribute it 4*500+4*50+4*2

Multiply to get 2000+200+8

So the answer is 2208

Answer:

We know we have to pay $75 per weel plus $0.25 for each mile we traveled, from that, if we call x the miles we have travelled, the total cost would be:

[tex]C = 75 + 0.25x[/tex]

As each mile we travel costs $0.25. Now that we have that expression, they ask us how many miles did we travel if we had to pay $96.25.

The only thing we have to do is replacing the C (our total cost) per $96.25 and solve the equation we get:

[tex]96.25=75+0.25x[/tex]

[tex]96.25-75=0.25x[/tex]

[tex]21.25=0.25x[/tex]

[tex]\frac{21.25}{0.25} = x[/tex]

[tex]85 = x[/tex]

We hve traveled 85 miles.

Answer:

(-3,-35), and the slope is -8/1

Step-by-step explanation:

If you're trying to find the other endpoint, that's it, and the slope is -8/1

Answer:

[tex] \boxed{ \bold{ \huge \boxed{ \sf{x = 18.5}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3(22 + 2) = 18 + 4(x - 5)}[/tex]

Add the numbers : 22 and 2

⇒[tex] \sf{3 \times 24 = 18 + 4(x - 5)}[/tex]

Multiply the numbers : 3 and 24

⇒[tex] \sf{72 = 18 + 4(x - 5) }[/tex]

Distribute 4 through the parentheses

⇒[tex] \sf{72 = 18 + 4x - 20}[/tex]

Calculate the difference

⇒[tex] \sf{72 = - 2 + 4x}[/tex]

Swap the sides of the equation

⇒[tex] \sf{ - 2 + 4x = 72}[/tex]

Move 2 to right hand side and change it's sign

⇒[tex] \sf{4x = 72 + 2}[/tex]

Add the numbers : 72 and 2

⇒[tex] \sf{4x = 74}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4x}{4} = \frac{74}{4} }[/tex]

Calculate

⇒[tex] \sf{x = 18.5}[/tex]

Hope I helped!

Best regards!!

Answer:

x=18.5

Step-by-step explanation:

3(22+2) =18 + 4(x-5)

3(24) = 18 + 4(x-5)

72=18+4(x-5)

4(x-5)+18=72

4x-20+18=72

4x= 72-18+20

4x=72+2

4x=74

x=74/4

x=18.5

Answer:

125 cm and 75 cm

125:75 = 5:3

Step-by-step explanation:

Let the number be 5x and 3x

we are taking these value because in ratio

a:b = ax:bx

that is if we multiply both part of ratio by a same number ratio remains same.

____________________________________________________

Since we have divided 200 cm in two parts with value 5x and 3x

Thus,

sum of 5x and 3x will be equal to 200 cm

5x+3x = 200cm

8x = 200cm

x = 25 cm

Thus,

first part = 5x = 5*25 = 125 cm

other part = 3x = 3*25 = 75cm

Answer:

Point C which is 1.

Step-by-step explanation:

A = -6

E = 8

M = (A + E)/2

M = (-6 + 8)/2 = 2/2 = 1

The midpoint is 1 which is point C.

Answer:

I'd say that it's a good start, but he is assuming that his rate of growth will remain the same.

Since there are relatively few people 6'10" tall, it's likely that his extrapolation is too high.

Maybe if he could study the growth rates and heights at various ages of people who did achieve 6'10" height, he would have a sounder basis for his theory.

Answer:

Let x the number Mr John thinks

He double it so 2×x=2x ( double = multiplying by 2 )

The result is 58

So 2x=58

We solve the equation

2x=58

So x =58/2

x=19

So it's 19 the number Mr John thinks

Answer:

the first one im pretty sure

Step-by-step explanation:

Answer:

The First one is correct im pretty sure.

Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

[tex]8y=5y+24[/tex] collect like-terms

[tex]8y-5y=24[/tex] subtract

[tex]3y=24[/tex] now divide

[tex]y = \frac{24}{3}\\[/tex]

[tex]y=8[/tex]

plug in the value of [tex]y[/tex] to check if the answer is correct:

[tex]8y=5y+24\\8(8)=5(8)+24\\64=40+24\\64=64[/tex]

ergo, [tex]y = 8[/tex]

Answer:

68+97i

Step-by-step explanation:

work shown and pictured

Answer:

68+97i

Step-by-step explanation:

(39 + 34i) + (76 + 89i) - (47 +26i).

Distribute the minus sign

(39 + 34i) + (76 + 89i) + (-47 -26i)

Combine like terms

(39+76-47)+(34i+89i-26i)

68+97i

Answer:

a) P.V  of is OP₁ = [ 1.5i + 0j + 2.6k ],   P.V  of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

b) Vector connecting P₁ to P₂ is [ 0i + 1.5j + 0.48k ]  

c) cylindrical coordinates are (1.5, π/2, 0.48)

Step-by-step explanation:

Given that;

r = 3

P₁ ( 3, 0°, 30° ),   P₂ ( 3, 45°, 45° )

a)

P.V of P₁

x = rcos∅sin∅ = 3(cos0°) ( sin30°) = (3 × 1 × 0.5) = 1.5

y = rsin∅sin∅  = 3(sin0°) (sin30°)   = (3 × 0 × 0.5) = 0

z = rcos∅        = 3(cos30°)             = ( 3 × 0.866)  = 2.6

∴ P.V  of is OP₁ = [ 1.5i + 0j + 2.6k ]

P.V of P₂

x = rcos∅sin∅ = 3(cos45°) ( sin45°) = (3 × 0.7071 × 0.7071) = 1.5

y = rsin∅sin∅  = 3(sin45°) (sin45°)   = (3 × 0.7071 × 0.7071) = 1.5

z = rcos∅        = 3(cos45°)                 = ( 3 × 0.7071)            = 2.12

∴ P.V  of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

b)

Vector connecting P₁ to P₂ is given by

OP₂ - OP₁ = [ 1.5i + 1.5j + 2.12k ] - [ 1.5i + 0j + 2.6k ]

= [ 0i + 1.5j + 0.48k ]  

c)

P₁P₂ → = [ 0i + 1.5j + 0.48k ]  = [ 1.5j + 0.48k ]  

so in a cylindrical coordinate, it should be

r = √(o² + 1.5²) = 1.5

∅ = tan⁻¹[y/π] = π/2

z = 0.48

cylindrical coordinates are (1.5, π/2, 0.48)

Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

[tex]\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}[/tex] =  [tex]\frac{11880}{116,280}[/tex] = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

Answer:

10.2% probability

Step-by-step explanation:

12 peaches

8 bananas

Chance of getting a peach the first time is 12/20 the second time is 11/19, third 10/18, and fourth 9/17

11880/116280 = .1022 = 10.2% probability

Answer:

15°

Step-by-step explanation:

The sum of three interior angles in a triangle is 180.

180-90-75=15°

Answer:

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

Y= 357 tiles

X= 68 tiles

Step-by-step explanation:

red and blue ceramic tiles are laid according to a pattern.

The pattern= every 21 red tiles used, 4 blue tiles are used

Total number of tiles used = 425 tiles

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

21x= 4y

X= 4y/21

X+y= 425

4y/21 + y = 425

25y= 425(21)

Y=( 425*21)/25

Y= 357 tiles

X= 4y/21

X= (4*357)/21

X= 1428/21

X= 68 tiles

Using proportions, it is found that there are 68 blue tiles.

The rule of three is:

4 blue - 25 total

x blue - 425 total

Applying cross multiplication:

[tex]25x = 4(425)[/tex]

[tex]x = \frac{4(425)}{25}[/tex]

[tex]x = 68[/tex]

There are 68 blue tiles.

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Answer:

32

Step-by-step explanation:

Linear pair means they form a line, or add to 180°.

2x − 5 + 4x − 7 = 180

6x − 12 = 180

6x = 192

x = 32

Volume of the solid generated by revolving the plane region about the y-axis is [tex]\frac{6561 \pi}{7}[/tex] .

Given, that y = x3/2, y = 27, x = 0

So, the volume of the solid generated by revolving the region about y axis will be,

[tex]V=\int_0^92\pi(x)(27-y)dx[/tex]

[tex]V=\int_0^92\pi x(27-x^{\frac{3}{2}})dx[/tex]

[tex]V=\left [ 27{\pi}x^2-\frac{4{\pi}x^\frac{7}{2}}{7} \right ]_0^9[/tex]

[tex]V=\left [ \frac{{\pi}\left(189x^2-4x^\frac{7}{2}\right)}{7} \right ]_0^9[/tex]

[tex]V=\frac{6561 \pi}{7}[/tex]

The image of the region bounded by plane is attached below.

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The volume of the solid generated by revolving the plane region about the y-axis is approximately 6863.01 cubic units.

To use the shell method to find the volume of the solid generated by revolving the plane region about the y-axis, we need to express the limits of integration and the height of the infinitesimally thin cylindrical shells.

Given the equations:

y = x^(3/2)

y = 27

x = 0

To determine the limits of integration, we need to find the intersection points between the two curves: y = x^(3/2) and y = 27.

Setting the equations equal to each other:

x^(3/2) = 27

Taking the square root of both sides:

x = 27^(2/3)

x = 9

Therefore, the limits of integration are x = 0 and x = 9.

Now, let's consider an infinitesimally thin cylindrical shell with height "h" and radius "r" at some x value between 0 and 9.

The height of the shell, "h", is the difference between the y-values of the two curves:

h = 27 - x^(3/2)

The radius of the shell, "r", is the x-value.

The volume of the shell can be expressed as:

dV = 2πrh dx

To find the total volume, we integrate this expression from x = 0 to x = 9:

V = ∫[0, 9] 2π(27 - x^(3/2))x dx

Now, let's evaluate this integral:

V = 2π ∫[0, 9] (27x - x^(5/2)) dx

Integrating term by term:

V = 2π [(27/2)x^2 - (2/7)x^(7/2)] evaluated from 0 to 9

Plugging in the limits of integration:

V = 2π [(27/2)(9)^2 - (2/7)(9)^(7/2)] - 2π [(27/2)(0)^2 - (2/7)(0)^(7/2)]

Simplifying and evaluating the expression:

V = 2π [(27/2)(81) - (2/7)(3√(9))] - 0

V = 2π [1093.357] ≈ 6863.01 cubic units

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Answer:

The answer is D. 3

Step-by-step explanation:

A number refers to the expression of a quantity or a magnitude. In mathematics, a number represents a fixed quantity of something or generally of a number system.

The numbers have a fixed order that determines their value.

The numbers are in order of:

Unit = 8

Ten = 3

Hundred = 5

Unit of thousand = 7

Ten thousand = 2

Hundred thousand = 4

Million unit = 1

10 million = 4

And a hundred million represented by = 3.

Answer:

Step-by-step explanation:

5x - 9 < 21

5x < 30

x < 6

Answer:

Quantity of medicine provide to patient = 36 mcg

Step-by-step explanation:

Given:

Quantity recommend = 0.6 mcg / kg

Weight of patient = 60 kg

Find:

Quantity of medicine provide to patient

Computation:

Quantity of medicine provide to patient = Weight of patient × Quantity recommend

Quantity of medicine provide to patient = 60 × 0.6

Quantity of medicine provide to patient = 36 mcg

Answer:

hey thanks for ur points too

Step-by-step explanation:

Answer:

22/3

Step-by-step explanation:

[tex]4\times\:7-\frac{62}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:7=28\\=28-\frac{62}{3}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:28=\frac{28\times\:3}{3}\\=\frac{28\times\:3}{3}-\frac{62}{3}\\\\=\frac{28\times\:3-62}{3}\\\\28\times\:3-62=22\\\\=\frac{22}{3}[/tex]

Answer:

b/4 +b + b-8 =73

2b + b/4 = 81

9b/4 = 81

9b =81 * 4

b = 9* 4

b = 36

The sides of the triangles are 9 inch, 28 inch and 36 inch respectively

Step-by-step explanation:

Answer:

4 cups of flour

Step-by-step explanation:

We just need to double 2. The phrase "double" means to multiply by 2 so the answer is 2 * 2 = 4 cups of flour.

Answer:

Equation:

LM = (1/2)KM

2x+4 = (1/2)(5x-6)

Hoped I helped

put a brainiest for me pls

The length of KL will be equivalent to 16.

Given is to that  KL = 4x - 8 and KM = 6x − 4

Since [M] is the midpoint, so we can write -

KL = (1/2)KM

(4x - 8) = (1/2)(6x - 4)

4x - 8 = 3x - 2

4x - 3x = 8 - 2

x = 6

So -

KL = (1/2)(6 x 6 - 4)

KL = (1/2) x 32

KL = 16

Therefore, the length of KL will be equivalent to 16.

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Answer:

-7/10 >= 2k - 4

Step-by-step explanation:

For this problem, we can simply follow the wording to write the inequality.

-7/10 is at least twice a number k minus 4

-7/10 >= 2k - 4

We use >= since is says at least, meaning it could be equal or greater than

We multiply k by 2 since it states the number is twice k

And we subtract 4 from the 2k since the number is "minus 4" from the twice k.

Thus, we have our inequality, -7/10 >= 2k - 4.

Cheers.

Answer: p^2 = 25 ^2 = 625