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3241004551 [841]
2 years ago
12

Jim rolls a fair dice 36 times. How many times would Jim expect to roll a three?​

Mathematics
2 answers:
Tresset [83]2 years ago
5 0

Answer:

I think it's 6 but I'm not sure

Step-by-step explanation:

36:6=6

levacccp [35]2 years ago
3 0

Answer:

6

Step-by-step explanation:

36/6=6

if it is a fair dice it will be even

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The equatorial radius of the planet Jupiter is measured 40 times by a process that is practically free of bias. These measuremen
Nina [5.8K]

Answer:

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

Step-by-step explanation:

Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.93}{2} = 0.035

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.035 = 0.965, so z = 1.81

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.81*\frac{28}{\sqrt{40}} = 8

The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.

The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

8 0
3 years ago
a firefighter dives at 7.5 m/sec from window to net. If window is 34 m above net, what speed does firefighter hit net. ACCELRATI
lianna [129]

Answer:

Step-by-step explanation:

This is more physics than math, but since "The book of nature is written in the language of mathematics"...

Anyway, the one-dimesional motion equation you want to use here resembles the quadratic we use to model parabolic motion. It is

v^2=v_0^2+2aΔx

where v is the final velocity of the firefighter, v₀ is the initial velocity of the firefighter, a is -9.8 m/s/s (negative because the motion is in the downward direction), and Δx is -34 m. This is also negative because where the firefighter lands is below the point at which he started. This is important, because if you leave the 34 as positive, you end up with a negative radicand...and that's not gonna work. Filling in the formula:

v^2=(7.5)^2+2(-9.8)(-34)

Paying close attention to significant digits here is important (at least it is when I teach physics in school!). Since there are 2 significant digits in 7.5, we need 2 in the product. 7.5 squared is 56.25 which will round to 56. Then on the right side of the plus sign, we need 2 significant digits as well since the number 2 is part of the equation. We don't count it as significant if it is part of the equation. 2(-9.8)(-34) = 666.4 but that will round to 670. NOW, since the rules for significant digits are different in multiplication and addition, you have to round each first, then take the square root of the sum, rounding at the end. In this case we will round to the place that holds the least significance between the 2 numbers. In our case that is the tens place, since the tens place is less significant than is the 1's place. The number 7 is in the tens place. (Following that rule is super tricky, and also quite maddening!)

What we have here is

v^2=56+670 and

v=\sqrt{56+670}

That leaves us with

v = 26.94438j

But don't forget we round that to the tens place which comes out in the end, finally, to

v = 30 m/s

 

5 0
3 years ago
Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost?
NemiM [27]

Answer:

3/4 of a foot will cost $2.25.

Step-by-step explanation:

This question is solved by rule of three, due to proportions.

One foot of lace costs 3 dollars. How much is 3/4 of a foot going to cost?

1 foot - 3 dollars

3/4 foot - x dollars

x = 3 \times \frac{3}{4} = \frac{9}{4} = 2.25

So

3/4 of a foot will cost $2.25.

7 0
2 years ago
Some help please? 20 points !!
drek231 [11]

Answer:

72m^3

Step-by-step explanation:

l x w x h

l = 2

w = 9

h = 4

2 x 9 x 4 = 72

4 0
3 years ago
Read 2 more answers
Kate is making pizza she put 8 ounces of cheese on each pizza if she has 4 20ounce packages of cheese how many pieces can she ma
dexar [7]

Answer:

60 pizzas


Step-by-step explanation:


4 0
3 years ago
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