All categories

3 years ago

A recipe for sparkling water juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice

Mathematics

1 answer:

Alexxx [7]3 years ago

7 0

Answer:

You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

You might be interested in

77+ 2(3x – 5) = 8 – 3(2x + 1) 78 2 + 3(2 -7) – 0 - 13 I 1).

nika2105 [10]

Answer:

-31/6

Step-by-step explanation:

77+2(3x-5)=8-3(2x+1)

77+6x-10=8-6x-3

77-10+6x=8-3-6x

67+6x=5-6x

67+6x-(-6x)=5

67+6x+6x=5

67+12x=5

12x=5-67

12x=-62

x=-62/12

simplify

x=-31/6

3 0

3 years ago

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

3 years ago

(06.04 HC) The graph shows Wilson's science scores versus the number of hours spent doing science homework. A graph titled Wilso

alexandr1967 [171]

Answer:

The answer 55

Step-by-step explanation:

Because it goes up by five for they gave us the amount of point they get for 5 hours and the amount of point he had for 5 hours was 50 so we just needed to add 5 more and 50+5= 55

I don't know if I made myself clear but good luck! :)

5 0

3 years ago

15. PLEASE HELP ME

Nana76 [90]

Surface Area=7238in^2

We know

$\boxed{\sf Surface\:area=4\pi r^2}$

$\\ \sf\longmapsto 4\pi r^2=7238$

$\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238$

$\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}$

$\\ \sf\longmapsto r^2=\dfrac{5066}{88}$

$\\ \sf\longmapsto r^2=575.75$

$\\ \sf\longmapsto r^2\approx576$

$\\ \sf\longmapsto r\approx\sqrt{576}$

$\\ \sf\longmapsto r\approx24in$

<h3>Option b is coreect</h3>

4 0

3 years ago

Read 2 more answers

Express sin(3theta) in terms of sin (theta)

BigorU [14]

3∅ can be rewritten as (2∅+∅)
sin(3∅) = sin(2∅ + ∅)
Opening brackets on the right hand side;
= sin2∅ cos ∅ + cos2∅sin∅
This simplifies to;
= 2sin∅cos^2∅ + sin∅ (1- 2sin^2∅)
= sin∅ (2cos^2∅ + 1 - 2sin^2∅)
= sin∅ (2(1 - sin^2∅) +1-2sin^2∅)
= 3sin∅ - 4sin^3∅

7 0

3 years ago

Read 2 more answers