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Rainbow [258]
3 years ago
7

Seven pupils take a test marked out of 10. The mean mark is 8, the median mark is 8, the modal mark is 7, the range of the marks

is 3. What are the marks in the test??? Please help.
Mathematics
2 answers:
timama [110]3 years ago
3 0
I believe that your answer is 2 pretty sure
Fynjy0 [20]3 years ago
3 0

Answer:

36

Step-by-step explanation:

10+8=18

18+8=26

7+3=10

26+10=36

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In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A
vredina [299]

Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

Step-by-step explanation:

The population of bearings have a proportion p=0.90 of satisfactory thickness.

The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.

As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).

The mean of this distribution will be:

\mu_s=np=500*0.90=450

The standard deviation will be:

\sigma_s=\sqrt{np(1-p)}=\sqrt{500*0.90*0.10}=\sqrt{45}=6.7

We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:

z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932

Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.

The mean of this sampling distribution is:

\mu=np=300*0.932=279.6

The standard deviation will be:

\sigma=\sqrt{np(1-p)}=\sqrt{300*0.932*0.068}=\sqrt{19}=4.36

c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

P(270\leq x\leq280)=P(269.5

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

P(X=280)=P(279.5

8 0
3 years ago
Can someone help me with these 2
frosja888 [35]

Answer:

Step-by-step Yes it is, assuming we decide to use the Pythagorean Theorem to find the hypotenuse (10) it'll be possible considering the formula is c²=√a²+b²

(c being the longest side of the triangle)

a= 6 and b= 8

c² =√6² + 8²

c² = √100 square root of 100 equals 10

c= 10p explanation:

4 0
3 years ago
Ryan’s tax for 2014 was $2,590. He paid a total of $4,508 in withholding taxes. Will Ryan owe money or get a refund and how much
luda_lava [24]

Answer:

$ 7,098

Step-by-step explanation:

$2,590

+

$4,508

=

$7,098

4 0
3 years ago
If you draw one card from a standard deck, what is the theoretical probability of drawing a face card? *
Yuri [45]

Answer:

1234567891011121314151617181920

3 0
3 years ago
Pllllllllllllzzzzzzzzzzzzz help me!!
Kryger [21]

Answer:

here you go!!

Step-by-step explanation:

4 0
2 years ago
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