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3 years ago

3. Three Bean Salad Puzzle #2

Mathematics

2 answers:

kirza4 [7]3 years ago

8 0

Answer: 1 lima bean, 2 red beans, 3 black-eyed peas

Step-by-step explanation:

If 1/6 of the beans are lima beans, then there are 6 * 1/6 lima beans in the salad. 6 * 1/6 = 6/6 = 1.

If 1/3 of the beans are red beans, then there are 6 * 1/3 red beans in the salad. 6 * 1/3 = 6/3 = 2.

If 1/2 of the beans are black-eyed peas, then there are 6 * 1/2 black-eyed peas in the salad. 6 * 1/2 = 6/2 = 3.

Slav-nsk [51]3 years ago

4 0

Answer:

Lima Beans: 6 x $\frac{1}{6}$ = 1

Red Beans: $\frac{1}{3}$ x 6 = 2

Black Eyed-Peas: $\frac{1}{2}$ x 6 = 3

Hope this helps!

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1. What ratio defines tan(M)<br> 2. what ratio defines tan(N)

Tatiana [17]

Answer:28:53 is M

N is 28:45

Step-by-step explanation:

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3 years ago

A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio

Reptile [31]

Answer:

The probability is $P(|p-\^{p}| > 0.03) = 0.0040$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.07$

The mean of the sampling distribution is $\mu_p = 0.07$

The sample size is n = 600

Generally the standard deviation is mathematically represented as

$\sigma_p = \sqrt{\frac{p (1 -p)}{n} }$

=> $\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }$

=> $\sigma_p = 0.010416$

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

$P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )$

Now add p to both side of the inequality

=> $P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )$

Now converting the probabilities to their respective standardized score

=> $P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )$

=> $P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)]$

From the z-table

$P(Z \le 2.88) = 0.9980$

and

$P(Z \le -2.88) = 0.0020$

$P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020]$

=> $P(|p-\^{p}| > 0.03) = 0.0040$

7 0

3 years ago

What is the area of a rectangle with width 2/5 inches and length 3/5 inches? Give brainl<br><br>est

Mama L [17]

The area of a rectangle is length x width.

2/5 x 3/5 = 6/25

The area of the rectangle is 6/25.

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3 years ago

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Parallelogram H G J L is shown. Diagonals are drawn from point H to point J and from point G to point L and intersect and point

Ghella [55]

Answer:

50 units.

Step-by-step explanation:

It is given that HGJL is a parallelogram and diagonals intersect each other at point K.

$HK=c-7,JK=3c-33,GK=c+12$

We now that diagonals of parallelogram bisect each other. So,

$HK=JK$

$c-7=3c-33$

$33-7=3c-c$

$26=2c$

Divide both sides by 2.

$13=c$

Now,

$GK=c+12=13+12=25$

Diagonals of parallelogram bisect each other. So,

$GL=2(GK)=2(25)=50$

Therefore, the measure of GL is 50 units.

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3 years ago

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Show that x=2 is a solution of the equation X^3-x-6

My name is Ann [436]

Answer:

x = 2 is the solution of x^3 - x - 6

Step-by-step explanation:

(x^3) - x - 6 = 0

If x = 2,

--> (2^3) - 2 - 6

= 8 - 2 - 6 = 8 - 8 = 0.

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4 years ago