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3 years ago

Multiple Choice 1. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the t

riangle is 90 cm? (1 point) A. 22.5 cm, 30 cm, and 37.5 cm B. 19.3 cm, 25.7 cm, and 32.1 cm C. 7.5 cm, 11.5 cm, and 32.1 cm D. 10.5 cm, 11.5 cm, and 12.5 cm 2. Is the following always, sometimes, or never true? 6 + 8x – 9 = 11x + 14 – 3x A. always true B. sometimes true C. never true 3. Solve the inequality. Graph the solution set. 5r + 4 ≤ 5

Mathematics

1 answer:

marishachu [46]3 years ago

4 0

$3x + 4x + 5x = 12x
=\ \textgreater \ 12x = 90
x = 90/12 = 15/2
3x = 3*(15/2) = 45/2 = 22.5 cm
4x = 4*(15/2) = 30 cm
5x = 5*(15/2) = 75/2 = 37.5 cm$

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Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The nu

malfutka [58]

Answer:

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 15, p = \frac{1}{20}$

a) The standard deviation is 0.8441

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.05*0.95} = 0.8441$

This is correct

b) The number of trials is equal to 15

n is the number of trials and $n = 15$ . So this option is correct.

c) The probability that x equals 1 is 0.3658

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

$E(X) = np = 15*0.05 = 0.75$

This option is correct.

f) None of the above

d is false

3 0

3 years ago

Really need help Pls

Studentka2010 [4]

Answer:

20.57 cm

Step-by-step explanation:

Circumference of half circle = diameter + half of circumference

$= 8 +\dfrac{2\pi r}{2}\\\\\\= 8 + \pi r\\\\= 8 + 3.142 * 4\\\\= 8 + 12.568\\\\= 20.568\\\\= 20.57 \ cm$

6 0

3 years ago

36 rows of 27 trees were planted in the orchard. how many total trees were planted in the orchard

kherson [118]

Answer:

972 trees

Step-by-step explanation:

36 times 27

8 0

3 years ago

Read 2 more answers

How do you simplify -14/63

leonid [27]

14 = 7*2
63 = 7*9

14 7 * 2 2 2
---- = ------- 7/7 =1, so = 1 * ------ = ----
63 7 * 9 9 9

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3 years ago

Potatoes are on sale at both grocery mart in Baldwin Hills market. At grocery mart a 5 lb. bag of potatoes cost $2.85 and at Bal

Stella [2.4K]

The grocery mart offers the best deal on potato’s and price per pound is $0.03 less than Baldwin Hills market.

Explanation

At grocery mart, a 5 pounds bag of potatoes cost $2.85

So, the unit price of potatoes per pound at grocery mart $=\frac{\$ 2.85}{5}=\$ 0.57$

Now at Baldwin Hills market, 7 pounds bag of potatoes cost $4.20

So, the unit price of potatoes per pound at Baldwin Hills market $=\frac{\$ 4.20}{7}=\$ 0.60$

As $\$0.57$ , that means the unit price of the potatoes per pound at grocery mart is less than the Baldwin Hills market.

So, the grocery mart offers the best deal on potato’s.

The price of the potatoes per pound at grocery mart is $(\$0.60-\$0.57)=\$0.03$ less than the price at Baldwin Hills market.

3 0

4 years ago