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Volgvan
3 years ago
11

Keiko brought $51.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as th

e sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Keiko had $3.00 left over after buying these items.
What was the cost of each item?
Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0

Step-by-step explanation:

[(1/6 × 3/4) + (3/4) + 1] n = 51.75 -3

(⅛ + ¾ +1)n = 48.75

15/8 n = 48.75

1.875 n = 48.75

n = 48.75/1.875

n = 26

so, the cost of :

the brush = ⅛×26 = $ 3.25

the sketchbook = ¾×26 = $ 19.5

the pain set = $ 26

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Xander spends most of his time with his 10 closest friends. he has known 4 of his 10 friends since kindergarten. if he is going
Mademuasel [1]

Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10

Total friends = 10

Friends from kindergarten = 4

Probability is the chance that a given event will occur. Probability of an event lies within 0 to 1

P(E) = Favourable outcomes / Total outcomes

Probability of getting 1st friend from kindergarten = 4/10

Probability of getting 2nd friend from kindergarten = 3/9

Probability of getting 3rd friend not from kindergarten = 6/8

Since all these probabilities are independent, We can use Multiplicative identity.  Thus,

Required probability is 4/10 * 3/9 * 6/8

= 1/10

Thus, Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10

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5 0
2 years ago
You bought a two liter container of cooking oil for $2.50. What is the cost per liter?
bearhunter [10]

Answer:

$1.25

Step-by-step explanation:

$2.50 / 2 = $1.25 per liter

4 0
3 years ago
Read 2 more answers
A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
NikAS [45]

Answer:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

\bar X=0.376 represent the sample mean for the chloride concentration

\mu population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

df=n-1=15-1=14

The Confidence is 0.95 or 95%, the significance would be \alpha=0.05 and \alpha/2 =0.025, and the critical value for this case with a t distribution with 14 degrees of freedom is t_{\alpha/2}=2.145

And the confidence interval is:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0
4 years ago
Create a X and Y table using the expression Y= 4X +3
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You want to buy a trampoline. You found one online that has a circumference of 6.28 yards. What is the area?
gizmo_the_mogwai [7]

The area of the trampoline  is mathematically given as

a = 3.14

<h3>What is the area?</h3>

Question Parameters:

You found one online that has a circumference of 6.28 yards

Generally, the equation for the Circumference   is mathematically given as

C = 2*pi*r

Thererfore

6.28 = 2*3.14*r

r = (6.28)/(6.28)

r = 1

In conclusion, where radius is

a= pi*r^2

a = 3.14*1^2

a = 3.14

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