If clocks read 300pm on the -5 time zone, what time do the clocks read in the -2 time zone

There are 5 exams in a semester. You have scored 77, 90, 85, and 100 on the previous four exams. What must you make on the fifth

siniylev [52]

Answer:

<h2>The correct answer for this question is 78.</h2>

Step-by-step explanation:

The average or mean of any variable or mathematical phenomenon is calculated as the division of the sum of all the numbers or items within the particular variable by the total number of items or numbers within the variable.
In this case, the marks of the 4 exams in the semester are 77,90,85 and 100 respectively.There are total 5 exams in the semester.
Let's suppose that the marks for the 5th exam is x.
Therefore, based on the mathematical formula to compute average or mean,to get an overall average of 86 including all the 5 exams, one has to get:-

$\frac{77+90+85+100+x}{5}=86$

$77+90+85+100+x=430$

$x=430-77-90-85-100$

$x=78$

Hence, based on the above calculations,one has has to get 78 on the 5th exam to obtain an overall average of exactly 86.

5 0

3 years ago

What is the volume of the prism?

ozzi

Answer:

Step-by-step explanation:

When you find the volume of prisms, you're essentially taking the area of the base and multiply it by the length, in varied orientations.

In this case, I'd start by finding the area of the parallelogram facing us.

The formula for a parallelogram's area is the same as a rectangle's:

A = b x h

In this case, h = 3 cm and b = 8 cm.

A = 24 cm²

Now, you multiple the area by the length of the parallelogram, which is 8 cm.

V = 24 cm² x 8 cm

= 192 cm³

I hope this helps!

3 0

3 years ago

janet is comparing prices of bottled water. one bottle of water costs $1.92 and contains 12 ounces. another bottle of water cost

AnnyKZ [126]

Bottle 1 = $1.92 & 12 ounces

Bottle 2 = $2.40 & 16 ounces

Bottle 1

If 12 ounces costs $1.92, to determine the price of 1 ounce we divide $1.92 by 12.

$1.92 ÷ 12 = $0.16 per ounce for bottle 1.

Bottle 2

If 16 ounces costs $2.40, to determine the price of 1 ounce we divide $2.40 by 16.

$2.40 ÷ 16 = $0.15 per ounce for bottle 2.

Therefore we can determine that Bottle 2 is cheaper per ounce than Bottle 1.

7 0

3 years ago

City block is 1/10 of a mile long. Juma ran 8 blocks to the park, ran 3 1/3 mile loop in the park, then ran 8 blocks home again.

Gre4nikov [31]

Ran 19 2/13 of a mile
.............................

4 0

3 years ago

There is a 70 percent chance that an airline passenger will check bags. In the next 16 passengers that check in for their flight

GenaCL600 [577]

Answer:

a) $P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.00332$

b) $P(X$

And we can find the individual probabilities like this:

$P(X=10)=(16C10)(0.7)^{10} (1-0.7)^{16-10}=0.1649$

$P(X=11)=(16C11)(0.7)^{11} (1-0.7)^{16-11}=0.2099$

$P(X=12)=(16C12)(0.7)^{12} (1-0.7)^{16-12}=0.2040$

$P(X=13)=(16C13)(0.7)^{13} (1-0.7)^{16-13}=0.1465$

$P(X=14)=(16C14)(0.7)^{14} (1-0.7)^{16-14}=0.0732$

$P(X=15)=(16C15)(0.7)^{15} (1-0.7)^{16-15}=0.0228$

$P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.0033$

And replacing we got:

$P(X$

c) $P(x \geq 10) = P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)$

And replacing we got 0.825

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=17, p=0.7)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Part a

And we want to find this probability:

$P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.00332$

Part b fewer than 10 will check bags

We want this probability:

$P(X$

We can use the complement rule and we have:

$P(X$

And we can find the individual probabilities like this:

$P(X=10)=(16C10)(0.7)^{10} (1-0.7)^{16-10}=0.1649$

$P(X=11)=(16C11)(0.7)^{11} (1-0.7)^{16-11}=0.2099$

$P(X=12)=(16C12)(0.7)^{12} (1-0.7)^{16-12}=0.2040$

$P(X=13)=(16C13)(0.7)^{13} (1-0.7)^{16-13}=0.1465$

$P(X=14)=(16C14)(0.7)^{14} (1-0.7)^{16-14}=0.0732$

$P(X=15)=(16C15)(0.7)^{15} (1-0.7)^{16-15}=0.0228$

$P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.0033$

And replacing we got:

$P(X$

Part c at least 10 bags

We can find this probability like this:

$P(x \geq 10) = P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)$

And replacing we got 0.825

4 0

3 years ago