1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nasty-shy [4]
3 years ago
14

The article "Should You Report That Fender-Bender?"† reported that 7 in 10 auto accidents involve a single vehicle. Suppose 11 a

ccidents are randomly selected. (Round your answers to five decimal places.)
What is the probability that exactly nine involve multiple vehicles?
Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

0.19975

Step-by-step explanation:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Given:

n = 11

r = 9

p = 0.7

q = 0.3

Plugging in values:

P = ₁₁C₉ (0.7⁹) (0.3¹¹⁻⁹)

P = 0.19975

You might be interested in
A lady has 1 gallon of milk. The recipe calls for 1 quart. She dicided to triple the recipe. How many cups does she have left?
9966 [12]
1 quart= 4 cups
1 gallon= 1 quart

1 recipe= 1 quart
Tripled recipe= 3 * 1 quart= 3 quarts

Tripled recipe= 3 quarts * 4 cups per quart= 12 cups used in triple recipe

1 gallon= 16 cups

16 cups - 12 cups used= 4 cups left

Hope this helps! :)
4 0
3 years ago
If R is the midpoint of QS , find QS (QR = 5x-3 and RS =21-x)
Finger [1]

Answer:

QS is 34

Step-by-step explanation:

We find x first. We set each side equal to each other to do so.

5x-3=21-x

6x=24

x=4

Next we find QS value. We add each side.

5x-3+21-x

4x+18

Then we plug in x to find numeric value.

4(4)+18

34

3 0
3 years ago
Read 2 more answers
SOMEONE PLS PLS TELL ME THR RIGHT ANSWER AND HOW TODO IT PLLLLLSS Mary has a toy which is in the shape of a right prism with tri
Firlakuza [10]

Answer: surface area = 142.2 feet²

Step-by-step explanation:

The right prism has 2 triangular faces whose base is 4 feet and the height is 3.5 feet. The formula for determining the area of each is expressed as

Area = 1/2 × base × height

Area of both faces = 2 × 1/2 × 4 × 3.5 = 14 ft²

Considering the rectangular sides, Area of the base is 4 × 10 = 40 ft²

Area of the end is 3.5 × 10 = 35 ft²

To determine the width of the rectangular top, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Width = hypotenuse

Opposite side = 3.5

Adjacent side = 4

Width² = 3.5² + 4² = 28.25

Width = √28.25 = 5.32 feet

Area of rectangular top = 5.32 × 10 = 53.2 feet

Therefore, the approximate surface area of this right prism is

14 + 40 + 35 + 53.2 = 142.2 feet²

4 0
3 years ago
A newspaper poll asked respondents if they trusted "eco friendly" labels on cleaning products. Out of 1000 adults surveyed, 498
Paul [167]

Answer:

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of respondents that trust these labels is not significanlty less than 0.5 or 50%.  

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=498 represent the adults that trust these labels

\hat p=\frac{498}{1000}=0.498 estimated proportion of respondents that trust these labels

p_o=0.5 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of respondents that trust these labels is at least 50%:  

Null hypothesis:p\geq 0.5  

Alternative hypothesis:p < 0.5  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.498 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=-0.126  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level is not provided but we can assume it as \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(Z  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of respondents that trust these labels is not significanlty less than 0.5 or 50%.  

7 0
4 years ago
Find the equation of the line which passes through (4, -1) and (2,-1).
-BARSIC- [3]
I think it’s D maybe
8 0
3 years ago
Other questions:
  • Write 3.3 as a rational number
    9·1 answer
  • What is |2x-16|=10 ?
    9·2 answers
  • A 120 pound person would weigh about 20 pounds on earths moon. A 150 pound person would weight about 30 pounds on Jupiter’s moon
    6·1 answer
  • Which of these conditions is most likely to exist in a recession or a depression?
    13·2 answers
  • Is the following relation a function?<br> Yes<br> No
    7·1 answer
  • Will mark brianliest please help
    5·1 answer
  • WILL GIVE BRAINLIEST!! Solve It &amp; Show Work
    10·1 answer
  • Which two ratios form a proportion a) 1:2 and 4:2 b) 1:2 and 2:4 c) 2:1 and 2:4 d) 2:1 and 6:3
    11·1 answer
  • NO LINKS!!!!
    5·1 answer
  • Brian has ridden 38 miles of a bike course. The course is 40 miles long. What percentage of the course has Brian ridden so far?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!