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Molodets [167]
2 years ago
15

The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n rep

resent the number of people at the get together, c the number of cups of water, S the number of scoops of lemonade powder. Select all the mathematical statements that represent the quantities and constraints in the situation. 1) 5
Mathematics
1 answer:
tia_tia [17]2 years ago
4 0

Answer:

B. 5 ≤ n≤ 8

f. 10 ≤ S ≤ 16

C. c=2n

d. S = c

Step-by-step explanation:

Jada is making lemonade for a get together with her friends. She expects a total of 5 to 8 people to be there (including herself).?

She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get together, c the number of cups of water, S the number of scoops of lemonade powder. Select all the mathematical statements that repsent the quantities and constraints in the situation.

A. 5<n<8

B. 5≤ n≤8

C. c=2n

d. S = c

e. 10<c<16

f. 10≤S≤16

Let

n = number of people at the get together,

c = number of cups of water,

S = number of scoops of lemonade powder.

She expects a total of 5 to 8 people to be there (including herself).

B. 5 ≤ n ≤ 8

She plans to prepare 2 cups of lemonade for each person.

With minimum of 5 people and maximum of 8 people

2 × 5 = 10

2 × 8 = 16

f. 10≤S≤16

The number of cups of water is twice the number of people at the party

C. c=2n

Number of scoops of lemonade powder is equivalent to number of cups of water

d. S = c

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Answer:

x=\pm \sqrt{21}/7

Step-by-step explanation:

We can add 9 to both sides of the equation to get 21x^2=9.

We can divide both sides of the equation by 21 to get x^2=9/21.

We take the square root of both sides of the equation to get x=\pm \sqrt{9/21}.

However, that isn't in the form we need.

We know that \sqrt{9/21}=\sqrt{9}/\sqrt{21}=3/\sqrt{21}=3\sqrt{21}/(\sqrt{21}*\sqrt{21})=3\sqrt{21}/21=\sqrt{21}/7

so the answer is really x=\pm \sqrt{21}/7 and we're done!

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In 2005, there are 705 cable users in the small town of Whoville. The number of users
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Step-by-step explanation:

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3 years ago
g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standar
Lana71 [14]

Answer:

a) 90th percentile

b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92

c)  0.2394

d)  46.44 inches

Step-by-step explanation:

mean value( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

Amy height = 1.34 std above mean value

Sophia height = 94th percentile of height distribution

A ) what percentile is Amy's height

To Calculate the percentile of Amy's height

P( X ≤  50.916   ) = P( (X-µ)/σ )  ≤  (50.916-47.7) /2.4)  

=P(Z ≤  1.340  ) = 0.9099  = 90th percentile

B) How Amy's height compare to Sophia's

The proportion given based on Sophia's height = 0.94

z -value at the proportion ( 0.94 ) = 1.55 ( from excel )

note z-value can be calculated using  =  ( x - µ ) / σ                      

therefore: X (Sophia's height )  = zσ + µ=   (1.55 * 2.4)  +  47.7  

 X = 51.43 ( Sophia's height ) , Amy's height = 50.92

C) percentage expected to be taller than 49.4 inches

P ( X ≥ 49.40  ) = P( (X-µ)/σ)  ≥ (49.4-47.7) / 2.4)              

= P(Z ≥ 0.708 )

= P( Z <  -0.708   )

= 0.2394

D) Below what height are the shortest 30% of 7-year old girls

( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

given proportion = 30% = 0.3

The z value at 0.3 = -0.52 ( from excel )

to calculate for X ( height ) we have to apply the formula used to determine z value

z= (x-µ) /σ

hence : X = (Z * σ)  +<em> u = </em>(-0.52 * 2.4 ) + 47.7

            X = 46.44

below 46.44 inches lies about 30% of 7 year old girls height

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PLS HELP 3x+4 = 2 (x - 1)
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Answer:

x= -6

Step-by-step explanation:

3x+4= 2 (x - 1)

3x+4= 2x -2

Subtract 4 from both sides of the equation

Simplify

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7 0
3 years ago
Read 2 more answers
Suppose that a​ researcher, using data on 150 randomly selected​ bicycles, estimates the OLS​ regression: ModifyingAbove Price w
aliya0001 [1]

Answer:

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Step-by-step explanation:

Hello!

You have the information of two variables

Y: price of a bycicle (dollars)

X: Weight of a bycicle (kilograms)

The estimated regression equation is

^Y= 672.65 - 1.56X

      (191.4)       (0.28)

Assuming that 191.4 is the estimated standard deviation of the intercept and 0.28 corresponds to the estimated standard deviation of the slope. The statistic you can use to estimate the intercept is a student's t.

99% CI for the intercept (b₀):

b₀ ± tₙ₋₂;1-α * Sb₀

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672.65 ± (2.609*191.4)

[173.2874; 1172.0126]dollars

I hope it helps!

6 0
3 years ago
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