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lutik1710 [3]
3 years ago
7

You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for

which the LD 100 is 14 days. The sample mean is = 13.8 days. Suppose that the lifetimes for this level of exposure follow a Normal distribution, with unknown mean μ and standard deviation σ = 0.75 day. What is the 95% confidence interval for μ based on these data?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

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A jeweler who buys a ring from a jewelry maker for $125 marked with the price by 135% for sale in the store what is the selling
siniylev [52]
Marked up by 135% means
new price=original price+(original price times markup) =125+(125 times 1.35)=293.75
tax
293.75 times 0.075=22.03125

293.75-22.03125=271.718 so aprox $271.72


selling price would be $271.72
6 0
4 years ago
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The tent shown below has fabric covering all four sides and the floor. What is the minimum amount of fabric needed to construct
fenix001 [56]

Answer:

I believe the answer is 152 ft

Step-by-step explanation:

On the side, you would find the area of the square (8x5=40). Then, you would find the area of the triangular front (6x4=24 divded by 2 so it's 12). There are two sides of each, so 24+80=104. Then, you dfind the aarea of the bottom square (6x8=48) and add them all together to make 152

6 0
3 years ago
Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sale
agasfer [191]

<u>Answer:</u>

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

<u>Explanation:</u>

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

7 0
3 years ago
16/8 would be classified as a/an?<br> A:whole number <br> B:integer <br> C:Rational Number
gregori [183]

Answer:

Whole Number

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 16/8, the numerator is 16.

Denominator. This is the number below the fraction line. For 16/8, the denominator is 8.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 16/8 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

16/8 = 2

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (2) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

16 - (8 x 2) = 0

Step 3: Our mixed fraction

We've now simplified 16/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 (0/8)

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer.

8 0
3 years ago
If the measures of the angles of a quadrilateral are in the ratio of 3 : 4 : 5 : 8, find the measure (in degrees) of each angle.
BabaBlast [244]

Answer:

sorry just came here for the points

Step-by-step explanation:

6 0
3 years ago
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