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2 years ago

Write an expression that means "the sum of six and the product of three and d"

Mathematics

1 answer:

kolezko [41]2 years ago

3 0

Answer:

6+3d

Step-by-step explanation:

Sum would be adding 6 and a number, and product is 3 and d. So, it would be 6+3d.

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A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the prob

UkoKoshka [18]

Answer:

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

$P(X=r)=^nC_r p^rq^{n-r}$

Where, p is the probability of success $p=\frac{2}{7}$

q is the probability of failure q=1-p, $q=1-\frac{2}{7}=\frac{5}{7}$

n is total number of trials n=8

r=3

Substitute the values,

$P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}$

$P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}$

$P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}$

$P(X=3)=0.2428$

Therefore, the probability that 8 mice are required is 0.2428.

5 0

2 years ago

There are two students Mark and John.

V125BC [204]

Answer:

Step-by-step explanation:

6 0

2 years ago

Sofia is comparing celluer plans. Company A charges a flat fee of 59.99 a month and .43 additional minutes. Company B charges 69

Vsevolod [243]

Answer: it will take 125 additional minutes for both costs to be equal.

Step-by-step explanation:

Let a represent the number of additional minutes that it will it take for the two to be the same.

Company A charges a flat fee of 59.99 a month and .43 additional minutes. This means that the total cost of a additional units would be

0.43x + 59.99

Company B charges 69.99 a month and .35 for additional minutes. This means that the total cost of a additional units would be

0.35x + 69.99

For the cost of the two plans to be the same, it means that

0.43x + 59.99 = 0.35x + 69.99

0.43x - 0.35x = 69.99 - 59.99

0.08x = 10

x = 125

5 0

2 years ago

Two largest numbers of the fibonacci sequence are F(51)= 20,365,011,074 and F(52)= 32,951,280,099. If these two numbers are adde

Lady bird [3.3K]

Answer:

F (53) =

53,316,291,173

To learn more about the Fibonacci Sequence:

https://www.1728.org/fibonacci.htm

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

*100 points* A circle has a diameter with endpoints (-7, -1) and (-5, -9).

earnstyle [38]

Diameter

√(-7+5)²+(-1+9)²
√2²+8²
√4+64
√68
2√17

Radius

2√17/2
√17units

Now

Centre

(h,k)

(-7-5/2,-1-9/2)
(-12/2,-10/2)
(-6,-5)

Equation

(x-h)²+(y-k)²=r²
(x+6)²+(y+5)²=(√17)²
(x+6)²+(y+5)²=17

Option A

8 0

1 year ago

Read 2 more answers