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Eduardwww [97]
3 years ago
15

Two urns contain white balls and yellow balls. The first urn contains 5 white balls and 8 yellow balls and the second urn contai

ns 9 white balls and 2 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
Mathematics
1 answer:
vovangra [49]3 years ago
7 0
1st urn : 5 white, 8 yellow....total of 13 balls
P(white) = 5/13

2nd urn : 9 white, 2 yellow...total of 11 balls
P(white) = 9/11

P(both events happening) = 5/13 * 9/11 = 45/143 <=
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Find the equation of the line that contains the given point and has the given slope-
mylen [45]

Answer:

y-5 = -3x

or

y = -3x+5

Step-by-step explanation:

We can use the point slope form of the equation

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y-5 = -3(x-0)

y-5 = -3x

We can change it to slope intercept form y= mx+b by adding 5 to each side

y-5+5 = -3x+5

y = -3x+5

3 0
2 years ago
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PLEASE HELP I WILL MARK YOU AS BRAINLEST
denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

Q_3=\frac{20+21}{2}=20.5

Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

4 0
3 years ago
Read 2 more answers
The value V of a Porsche 718 Cayman that is t years old can be modeled by V(t) = 420,000(0.965)t (a) What would be worth the car
nordsb [41]

Answer:

<u>A. V (2) = $ 391,114.50</u>

<u>B. t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days  </u>

Step-by-step explanation:

Given formula:

V(t) = 420,000 * (0.965)^t

A. What would be worth the car′s worth in 2 years?

V(t) = 420,000 * (0.965)^t

We replace t by 2, as follows:

V(2) = 420,000 * (0.965)²

V(2) = 420,000 * 0.931225

<u>V (2) = $ 391,114.50</u>

B. In how many years will the car be worth $325,000?

V(t) = 420,000 * (0.965)^t

We replace V(t) by 325,000, as follows:

325,000 = 420,000 * (0.965)^t

325,000/420,000 = (0.965)^t

0.77381 =  (0.965)^t

t = log 0.965(0.7738)  

t = log 0.7738/log 0.965  

<u>t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days  </u>

0.2 years = 0.2 * 12 = 2.4 months

0.4 months = 0.4 * 30 = 12 days

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2 years ago
The ratio of blue shirts to
Ugo [173]

Answer:

35 blue shirts

Step-by-step explanation:

7 x 3 = 21

7 x 5 = 35

4 0
3 years ago
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What is the value of x in inches ?
Marysya12 [62]

Answer:

it really depends on what the question is.

Step-by-step explanation:

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3 years ago
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