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
solong [7]
3 years ago
7

Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 skat

eboards and a standard deviation of 55 skateboards.
(a) On what percent of the days last year did the factory produce 20,555 skateboards or fewer?
(b) On what percent of the days last year did the factory produce 20,610 skateboards or more?
(c) On what percent of the days last year did the factory produce 20,445 skateboards or fewer?
Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

This can be solved by using the empirical rule for a normal distribution.

Step-by-step explanation:

A. The number of skateboards given is one standard deviation above the mean. Approximately 68% of the data points lie within the range plus and minus one standard deviation of the mean. Therefore the required percentage is:

68 + 16 = 84%.

B. The given number of skateboards is two standard deviations above the mean. Approximately 95% of the data points lie within the range plus and minus two standard deviations of the mean. Therefore the required percentage is:

5/2 = 2.5%

C.The given number of skateboards is one standard deviations below the mean. Therefore the required percentage is:

16%.

You might be interested in
CAN SOMEONE HELP ME WITH NUMBER 7??<br> I WILL GIVE BRAINLIEST!
nirvana33 [79]

Answer:

tanx-(\sqrt(11))/(5)cosx>0

Step-by-step explanation:

Because to do this kind of trig you first have to know how to do basic trg

4 0
3 years ago
An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the
inna [77]

Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = \hat{p}=\dfrac{127}{1000}=0.127

Now, the z-test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

So, z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}

z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812

Hence, the value of the z-test statistic = 0.6812 .

7 0
3 years ago
Rachna purchases a plant that is 6 inches tall. Every week the plant grows an additional 0.6 inches. Rachna draws a graph of the
aleksklad [387]

Answer:

0.6

Step-by-step explanation:

Slope is the change in y divided by change in x.

x is weeks

y is height

We know plant grows 0.6 inches every week. This means per 1 week [change in x], the plant grows 0.6 inches [change in y]

Slope = 0.6/1 = 0.6

0.6 is the slope of the function

5 0
3 years ago
Solve this equation, x-5=11<br> (Please include step by step)
Andru [333]
X-5=11
+5 both sides
x=16
hope this helped
4 0
3 years ago
I need help with this
rodikova [14]
You need to expand (4x-7)(x+3), multiplying each term in the first bracket by each term in the second bracket, in order to get 4x^2+5x-21. Hope that helps!
5 0
3 years ago
Read 2 more answers
Other questions:
  • Two six-sided dice are rolled and the their SUM is recorded. The number of possible outcomes for this event
    6·1 answer
  • What is the approximate area of the shaded sector in the circle shown below? 
    9·2 answers
  • en una granja hay 300 gallinas que se comen un camion de grano en 20 dias . si se compran 10 gallinas mas en cuanto tiempo se co
    6·1 answer
  • What’s the answer thank you for your help
    5·1 answer
  • Can someone help please. I’ll give brainleist.
    15·1 answer
  • Please help solve this I have been raking my brain for hours​
    6·1 answer
  • PLEASE HELP IM DYING RN.<br>WHAT IS X? 6(x+2)=2(x-3)​
    13·2 answers
  • Jessica borrows $1500 at 7% simple interest per week. If she ends up owing $2235, how may weeks did it take her to pay back the
    9·2 answers
  • Gina has a spinner with five equal parts numbered one thru five. If Gina spins the spinner one time, what is the probability tha
    6·2 answers
  • -23-10x ≤ 47 (Solving two step inequalities)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!