1/2x+3/2(x+1) -1/4=5?

A shipment has 22 products, of which 3 are defective. Three people in turn pick up, each person picks up a product at random (no

Alla [95]

Answer:

Probability of no one picking up a defective product = 571 / 1540

Step-by-step explanation:

Total number of items = 22

non-defective items = 22-3 = 19

Probability of all three picking up non-defective products

= 19/22 * 18/21 * 17/20

= 969/1540

Probability of at least one picking up a defective product

= 1 - 969/1540

= 571/1540

(=0.371, approx.)

6 0

3 years ago

Use compatible numbers to estimate the quotient. 635÷9

gayaneshka [121]

Here, 635/9
Nearest divisible of 9 is 630 so,
It would be: 70 * 9 + 5

In short, Your Quotient would be 70

Hope this helps!

6 0

3 years ago

Misha deposited $3,725 into a savings account 22 years ago. The account has an interest rate of 2.2% and the balance is currentl

Annette [7]

The compounding equation is $A=P(1+ \frac{r}{n}) ^{nt}$ . So

$6012.37 = 3725(1+ \frac{0.022}{n}) ^{22n}$     Divide by 3725

$1.6141= (1+ \frac{0.022}{n}) ^{22n}$

Daily    = $(1+ \frac{0.022}{365}) ^{22*365}$
              = $(1.000060274) ^{8030}$
              = 1.6225
Monthly = $(1+ \frac{0.022}{12}) ^{22*12}$
              = $(1.0018333) ^{264}$
              = 1.6218
Quarter = $(1+ \frac{0.022}{4}) ^{22*4}$
              = $(1.0055) ^{88}$
              = 1.6204
Yearly = $(1+ \frac{0.022}{1}) ^{22*1}$
              = $(1.022) ^{22}$
              = 1.6141

The answer is yearly.

5 0

3 years ago

Write an equation for the proportional relationship shown in the table

Papessa [141]

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

74 = k

8 0

2 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$