Select the correct answer.

If

lesantik [10]

Answer:

x = (64 + 5) ÷ 3

Step-by-step explanation:

3x - 5 = 64

Add 5 to both sides: 3x = 64 + 5 = 69

Divide both sides by 3: x = 69 ÷ 3 = 23

So the answer is x = (64 + 5) ÷ 3

Note: If we didn't add the parentheses then using the order of operation x = 64 + 5 ÷ 3 would be x = 64 + $\frac{5}{3}$ = 65 $\frac{2}{3}$

8 0

2 years ago

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individ

Tema [17]

Answer:

a) P=0.558

b) P=0.021

Step-by-step explanation:

We can model this random variable as a Poisson distribution with parameter λ=1/500*2000=4.

The approximate distribution of the number who carry this gene in a sample of 2000 individuals is:

$P(x=k)=\frac{\lambda^ke^{-\lambda}}{k!} =\frac{4^ke^{-4}}{k!}$

a) We can calculate that the approximate probability that between 4 and 9 (inclusive) as:

$P(4\leq x\leq 9)=\sum_{k=4}^9P(k)\\\\\\ P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\P(9)=4^{9} \cdot e^{-4}/9!=262144*0.0183/362880=0.013\\\\\\$

$P(4\leq x\leq 9)=\sum_{k=4}^9P(k)=0.195+0.156+0.104+0.060+0.030+0.013=0.558$

b) The approximate probability that at least 9 carry the gene is:

$P(x\geq9)=1-P(x\leq 8)\\\\\\$

$P(0)=4^{0} \cdot e^{-4}/0!=1*0.0183/1=0.018\\\\P(1)=4^{1} \cdot e^{-4}/1!=4*0.0183/1=0.073\\\\P(2)=4^{2} \cdot e^{-4}/2!=16*0.0183/2=0.147\\\\P(3)=4^{3} \cdot e^{-4}/3!=64*0.0183/6=0.195\\\\P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\$

$P(x\geq9)=1-P(x\leq 8)\\\\P(x\geq9)=1-(0.018+0.073+0.147+0.195+0.195+0.156+0.104+0.060+0.030)\\\\P(x\geq9)=1-0.979=0.021$

8 0

3 years ago

How many seconds are in 45 minutes?

fgiga [73]

45 minutes equal to 2700 seconds.

8 0

3 years ago

Read 2 more answers

Please help me!

RUDIKE [14]

Answer:

B. 1/9

Step-by-step explanation:

The positive square root of "x^2 - 4x + 4" is "x - 2". That value is already given to you, 1/3. Just square 1/3 to get 1/9.

7 0

3 years ago

Read 2 more answers

You make blueberry mufﬁns and banana bread for a bake sale. One batch of blueberry mufﬁns requires m cups of ﬂour, and one batch

natali 33 [55]

The expression that represents the total amount of ﬂour (in cups) you need is Am+Bn. The correct option is D.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that one batch of blueberry mufﬁns requires m cups of ﬂour and You make A batch of blueberry mufﬁns. Therefore, the total flour required for making A batch of blueberry muffins is,

Number of flour = A × m = Am

Also, Given that one batch of banana bread requires n cups of ﬂour and You make B batch of banana bread. Therefore, the total flour required for making B batch of banana bread is,

Number of flour = B × n = Bn

Now, the expression that represents the total amount of ﬂour (in cups) you need in total is,

The total amount of flour = Am + Bn

Hence, the expression that represents the total amount of ﬂour (in cups) you need is Am+Bn.

Learn more about Expression here:

brainly.com/question/13947055

#SPJ1

6 0

1 year ago