A bag is dropped from a hovering helicopter. the bag has fallen for 5.1 seconds. how far has the bag fallen?

What is the effect of two parallel lines are rotated 90 clockwise

PSYCHO15rus [73]

sorrry dont know my bad

8 0

3 years ago

Dirk opened up a savings account with $600. At a yearly interest rate of 5 percent that is compounded monthly, how much interest

gladu [14]

Answer:

Hence final answer is $15.17

Step-by-step explanation:

Given that Dirk opened up a savings account with $600.

So P=$600

"At a yearly interest rate of 5 percent"

Means r=5% = 0.05

"compounded monthly" means n=12

i= monthly rate of interest = r/n=0.05/12

"how much interest will Dirk earn in six months." means find Interest when time is 6 months

Plug these values into compound interest formula:

$A=P\left(1+i\right)^t$

$A=600\left(1+\frac{0.05}{12}\right)^6$

$A=600\left(1+0.00417\right)^6$

$A=600\left(1.00417\right)^6$

$A=600\left(1.02528228828\right)$

A=615.169372966

which is approx

A=615.17

Now interest earned will be difference of A and P

Interest =A-P=615.17-600=$15.17

Hence final answer is $15.17

6 0

3 years ago

Y−2x=4

Anestetic [448]

Answer:

The answer is x=-5 and y= -8

Step-by-step explanation:

7 0

3 years ago

A very large batch of parts (assume a normal distrbution0 from a manufacturer has a mean weight = 43g and a standard deviation =

AVprozaik [17]

Answer:

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Percentage of parts with weights exceeding 45g?

1 subtracted by the pvalue of Z when X = 45. So

We have $\mu = 43, \sigma = 4$

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

$Z = \frac{45 - 43}{4}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

1 - 0.6915 = 0.3075

If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?

This is P(X = 8) when n = 16, p = 0.3075. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{16,8}.(0.3075)^{8}.(0.6915)^{8} = 0.0544$

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

4 0

3 years ago

CORRECT ANSWER = BRAINLIEST

Radda [10]

Answer:

36

Step-by-step explanation:

The length of 1 1/2 units is equivalent to 3/2 = 6/4 = 6×(1/4) = 6 cubes.

The width of 1/2 units is equivalent to 2/4 = 2×(1/4) = 2 cubes.

The height of 3/4 units is equivalent to 3×(1/4) = 3 cubes.

Then, in terms of cubes, the dimensions are 6 × 2 × 3. The volume is the product of these dimensions, so is ...

... 6 × 2 × 3 = 36 . . . . cubes

3 0

4 years ago