5 consecutive integers of 265

What is the probability of obtaining five heads in a row when slipping a fair coin?

kipiarov [429]

We want the coin to land on heads on 5 out of 5 flips.

Each time, the coin has a 1/2 chance of landing on heads.

Since we want it to land on heads 5 times in a row, we multiply 1/2 five times to get the probability.

(1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1 / (2*2*2*2*2)

= 1 / 32

There is a 1/32 chance of landing heads five times in a row.

Have an awesome day! :)

4 0

4 years ago

Highschool level trigonometry!!! Need help knowing step by step how to find answer!

Goshia [24]

Answer:

$\theta \approx 82.34^\circ$

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

$\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

The adjacent side is 2 and the hypotenuse is 15. By substitution:

$\displaystyle \cos(\theta)=\frac{2}{15}$

Now, we will take the inverse cosine of both sides. So:

$\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)$

Use a calculator. Hence:

$\theta \approx 82.34^\circ$

The angle between the ground and the ladder is about 82.34°.

5 0

3 years ago

Tina has $60 to spend on craft supplies. The tax rate is 8.25%. What is the maximum amount she can spend on craft supplies befor

kolbaska11 [484]

Answer:

$55.43

Step-by-step explanation:

The maximum amount she can spend on craft supplies before taxes is such that when the tax rate is applied on (or multiplied with) the amount, the result is $60. As such, if the amount is x then x is such that

x + 8.25% * x = 60

x + 0,0825x = 60

1.0825x = 60

x = 55.427

This is the maximum amount that may be spent on craft supplies to ensure that the budget is not exceeded.

8 0

3 years ago

Read 2 more answers

Final numeric grades in a certain course are normally distributed with a mean of 72.3 and a standard deviation of 6.4. The profe

Dimas [21]

Answer:

The minumum numeric grade you have to earn to obtain an A is 81.29.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 72.3, \sigma = 6.4$

The professor curves the grades so that the top 8% of students will receive an A. What is the minumum numeric grade you have to earn to obtain an A?

The minimum numeric value is the value of X when Z has a pvalue of 1-0.08 = 0.92. So it is X when Z = 1.405.

So

$Z = \frac{X - \mu}{\sigma}$

$1.405 = \frac{X - 72.3}{6.4}$

$X - 72.3 = 1.405*6.4$

$X = 81.29$

The minumum numeric grade you have to earn to obtain an A is 81.29.

6 0

3 years ago

Two number cubes are rolled. Each number cube has sides numbered 1 through 6.

cricket20 [7]

There are a total of 6*6=36 outcomes (sums), of which 18 are odd, 18 are even, so the probability of getting an odd sum is 18/36
of the 36 outcomes, there are four fives and three tens, so the probability of getting a multiple of 5 is 7/36
but the four fives are also odd numbers, so we need to subtract 4/36
the result is: 18/36 +7/26 -4/36=21/36=7/12 =0.58333333

to see the total outcomes, Google image "two number cubes sum" or go to this website:
https://www.eduplace.com/math/mw/background/5/06b/te_5_06b_probability_devel.html

3 0

4 years ago