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3 years ago

Lola pulls two marbles fro. A bag that contains four red marbles four blue marbles and 12 yellow marbles without replacing them

what is the probability that she pulled out a red marble first and a yellow marble second ?express your answer in decimal form rounded to the nearest hundreth

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

$|\Omega|=20\cdot19=380\\|A|=4\cdot12=48\\\\P(A)=\dfrac{48}{380}\approx0.13$

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Simplify the ratio 35:50

RoseWind [281]

35:50 simplified is 7:10 because 5 goes into 35 7 times and 5 goes into 50 10 times.

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3 years ago

Leons older brother is 4 and 3/4 feet tall. Leon is 1/3 foot shorter than his brother .how tall is leon

Mandarinka [93]

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

$4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft$

we know that

$x=\frac{19}{4}\ ft$ -----> equation A

$y=x-\frac{1}{3}$ -----> equation B

substitute equation A in equation B

$y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ ft$

Convert to mixed number

$\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft$

therefore

<u>the answer is</u>

$4\frac{5}{12}\ ft$

6 0

2 years ago

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Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.

Pie

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

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2 years ago

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(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A

lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

$H_0:p=0.45$

$H_a:p\neq0.45$

Since the alternative hypothesis $H_a$ is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: $\hat{p}=\dfrac{28}{76}=0.3684$

a) The z-statistic would be :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43$

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence, the P-value of the test= 0.1528

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3 years ago

-2 1/4 - ( - 3/4) =<br>

Grace [21]

Answer: -1.5

Step-by-step explanation:

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2 years ago

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