All categories

2 years ago

Including Jose, there are eight people in his family.

Mathematics

2 answers:

SIZIF [17.4K]2 years ago

7 0

Answer:

840

Step-by-step explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

$P_{(7,4)} = \frac{7!}{(7-4)!} = 840$

So the correct answer is:

840

Tems11 [23]2 years ago

6 0

Answer:

The answer is B on Edge 2020

Step-by-step explanation:

I did the Exam

You might be interested in

The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len

suter [353]

Answer:

$5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ----> the length of one leg of the triangle

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse

a and b are the legs

we have

$c=10\sqrt{5}\ units$

$a=b=x\ units$

substitute

$(10\sqrt{5})^2=x^2+x^2$

$500=2x^2\\x^2=250\\x=\sqrt{250}\ units$

Simplify

$x=5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

4 0

2 years ago

Read 2 more answers

Jason states that -5.0 is not an integer because it is a decimal. Is he correct? Why or why not?

gulaghasi [49]

Answer:

The answer is No, he's incorrect

Step-by-step explanation:

Because -5.0 is still -5 so therefore it makes -5.0 an integer

5 0

1 year ago

If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2

erica [24]

Hello,

y=5+3*cos (2(x-π/3))

The function is periodic with periode=2π.

-1<=cos (2(x-π/3))<=1
==>-1*3<=3*cos (2(x-π/3))<=3*1
==>5-3<=5+3cos(2(x-π/3))<=5+3
==>2<= y<=8

8 0

2 years ago

Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan

vovangra [49]

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

Monthly payments for a 9-year 5.8% loan for $19,450 are $231.59, so the total repaid is ...

108 payments × $231.59 per payment = $25,011.72

Together with the service charge, the cost of the loan is ...

$25,011.72 + 925.00 - 19,450 = $6,486.72

Monthly payments for a 10-year 5.5% loan for $19,450 are $211.08, so the total repaid is ...

120 payments × $211.08 per payment = $25,329.60

Together with the service charge, the cost of the loan is ...

$25,329.60 +690.85 -19,450 = $6,570.45

Difference of charges

The cost of Loan Q exceeds that of Loan P by ...

$6,570.45 -6486.72 = $83.73 . . . . . matches choice A

_____

The payment values here were computed using a financial calculator. They can be found using the TVM Solver of a graphing calculator (TI-84), or by any spreadsheet. A number of web sites will also calculate loan payment values, or you can use the formula in your text to compute them yourself.

3 0

2 years ago

The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong?

Alecsey [184]

Answer:

Step-by-step explanation:

Whole numbers are the basic counting numbers: $0,\ 1,\ 2,\ 3,\ 4, \....$

Integers are whole numbers and negative numbers: $...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...$

Rational numbers are all fractions $\frac{m}{n},$ where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number $\pi$ is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number $\pi$ is irrational number $-2\pi$

Correct option - option D

7 0

1 year ago

Read 2 more answers