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2 years ago

. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are

Mathematics

1 answer:

nalin [4]2 years ago

6 0

Answer: B

Explanation:

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

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A clothing store pays $89.47 for a dress. The store’s percent of markup is 50% and the tax is 7.6%. Find the selling price for t

Goryan [66]

Hi,
SP=Selling Price
CP of dress= $ 89.47
percent of mark up = 50%
SP without tax= 100+ mark up % /100 * CP
SP without tax= 100+50/100 * 89.47
SP without tax= 150/100 * 89.47
SP without tax= 1.5 * 89.47
SP without tax= $ 134.205
tot. SP(SP with tax)= 100 + tax %/100 * SP
SP=100 + 7.6/100 * 134.205
SP= 107.6/100 * 134.205
SP= 1.076 * 134.205
SP= $144.40458
Hope this helps you.

3 0

3 years ago

A very large data set (N > 10,000) has a mean value of 2.06 units and a standard deviation of 55.85 units. Determine the rang

butalik [34]

Answer:

So in range "-35.6108 to 39.73"; 50% data set can be found

ux = 37.6704 unites

Step-by-step explanation:

Step One: State the given parameters

From the question we are given that

mean Ц =2.06 unites

Standard deviation б is = 55.85 unites

Probability density → Normal

Let assume that it is symmetrically distributed about the mean

Step Two: Determine the range of the values

Our goal is to determine the range of values in which 50% of the data set should be found . Assuming that the range is from $x_{1}$ to $x_{2}$ and between these these we found 50% data set Hence from 0 up to $x_{1}$ we found 25% and up to $x_{2}$ we found 75% of the data set therefore z value corresponding to $x_{1}$ is - 0.6745 and the the z value corresponding to $x_{2}$ is +0.6745 (Refer to the z-table for normal distribution) as shown o the diagram on the first uploaded image

The formula for z is

z = $\frac{x-mean}{standard deviation}$

for $x_{1}$ ,z = - 0.6745 ,substituting into the formula

$-0.6745 = \frac{x_{1}-2.06}{55.85}$

=> -37.67 = $x_{1}$ -2.06

=> $x_{1}$ = -35.6108 unites

for $x_{2}$ , z = 0.6745 , substituting into the formula

$0.6745 = \frac{x_{2}-2.06}{55.85}$

=> 37.67 = $x_{2}$ -2.06

=> $x_{2}$ = 39.73 units

So in range "-35.6108 to 39.73"; 50% data set can be found

ux = (39.73 - (-35.73) )/2

= 37.6704 unites

4 0

2 years ago

Please help meeeeeeee only answered this if you know geometry

Dima020 [189]

Answer:

Step-by-step explanation:

AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.

8 0

2 years ago

A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. Th

Blababa [14]

Let no of blueberries be x
2 x bluberries = total raspberries
So raspberries = 2x
Cherries= 4 x raspberries so
Cherries = 8 x
Grapes = 3x cherries so
Grapes = 24x

Total fruit is equal to
X+2x+24x+8x=280
35x=280
Therefore X= 280/35=8

No of cherries in the salad
=8x
=8(8)
=64 cherries in total

Hope this helped and sorry I used shortcuts
Hope u understand

5 0

3 years ago

Which one is the graph of f(x) = [x]?

atroni [7]

Answer:

Step-by-step explanation:

because its linear

5 0

2 years ago