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2 years ago

12

Write each value in standard form.

1 answer:

natali 33 [55]2 years ago

6 0

Answer:

1. 0.507

2. 5.006

3. 9.062

Step-by-step explanation:

If a value has “thousandths” in the question, the decimal place goes 4 places to the left: ex. 0.007.

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A restaurant has an electronic system that randomly selects customers when they pay for their meal to

polet [3.4K]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

For each customer, 10% probability of receiving a coupon, thus $p = 0.1$ .
2 customers are selected, thus $n = 2$

The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:

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

$P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81$

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at brainly.com/question/25326823

7 0

3 years ago

A quadrilateral has angles that measure 87°, 69°, and 104°. What is the measure of the fourth angle? A. 50° B. 80° C. 100° D. 12

AveGali [126]

C. 100 because a quadrilateral must add up to 360. :)

4 0

3 years ago

Read 2 more answers

How do you rewrite 3x-9y=18 as a slop-intercept form?

Norma-Jean [14]

I believe it would be y=-1/3x-2

5 0

3 years ago

A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone

monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the z-table -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

= P(2 < z < 3.67)

= P(z<3.67) - P(z<2)

= 1 - 0.9772

= 0.0228

or 2.28%

3 0

3 years ago

How to solve the first problem need urgently

soldi70 [24.7K]

1000²=313²+x²
cosΘ= $\frac{x}{1000}$

3 0

3 years ago