Including Jose, there are eight people in his family. If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

Answers

Answer 1

Answer:

840 ways

Step-by-step explanation:

From the above question, we are told that order matters, hence, to solve the above question, we use the Permutation formula.

P(n, r) = nPr = n!/(n -r)!

From the above question,

Since Jose is included in the 8 people and he takes the first seat

n = 8 - 1 = 7 people

r = 5 - 1 = 4 seats

This is because, once Jose takes the first seat, there are 4 seats left with 7 people waiting to be seated

Hence,

7P4 = 7!/(7 - 4)!

7P4 = 7!/3!

7P4 = 5040/6

7P4 = 840 ways

Answer 2

Answer:

840

Step-by-step explanation:

edg 2021


Related Questions

A. 6
B. ⟌50
C. ⟌34
D. 4

Which one?

Answers

Answer:

C

Step-by-step explanation:

3^2 + 5^2 = x^2

9 + 25 = x^2

x^2 = 34

x = sqrt(34)

so the answer is C

Find the value of x.

Answers

Answer:

The value of x is 120°

Step-by-step explanation:

We should draw a line parallel to the given parallel lines and passes through the vertex of the measure x and divides it into two angles of measures x1 and x2, look at the attached figure

In the given figure

∵ The dashed line is parallel to the given line up

∴ The angle of the measure 70° and the angle x1 are alternate angles

∵ The alternate angles are equal in measures

x1 = 70°

∵ The dashed line is parallel to the given line down

∴ The angle of the measure 50° and the angle x2 are alternate angles

∵ The alternate angles are equal in measures

x2 = 50°

x = x1 + x2

∴ x = 70 + 50

∴ x = 120°

The value of x is 120°

Answer:

x= 120

Step-by-step explanation:

Alternated angles  are 50 and 70

Angles of a triangle sum 180

y+x (linear pair)

Identify the slope: 7x + 3y = -21

Answers

Answer:

7/3

Step-by-step explanation:

7/3

Find the value of x. help please!

Answers

The answer is A.


Because 7(5)+13 is 48. They are vertical angels so they have to be equal/ congruent.

Find two numbers whose product is -2, and whose sum is -1.​

Answers

Answer:

[tex]x=-2 \ \ \ and \ \ \ y=1[/tex]

Step-by-step explanation:

Suppose numbers are x and y

Product of x and y is -2

[tex]xy=-2[/tex]

And sum of x and y is -1

[tex]x+y=-1[/tex]

[tex]x=-2 \ \ \ and \ \ \ y=1[/tex]

introduces a study where researchers studying the relationship between honesty, age, and self-control conducted an experiment on 1G0 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group. (a) Identify the population of interest and the sample in this study. (b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Answers

Answer:

The solution to this question can be defined as follows:

Step-by-step explanation:

In choice a:

Both children between 5 and 15 years old and 160 years old are also the populations of interest, and Kids from 5 to 15 years of age.

In choice b:

These findings could be compared like we do not know whether the groups were randomly selected, and the allocation is still not random; there could be no casual conclusion because the statement is valid even With sample research, and after randomization, filtering, and testing of 160 specimens (instruction vs no-instruction) Its analysis can be common to the community and replicated. There could be explanatory relations generated by experimental research. This analysis is observational and can therefore be used Causal relationships are established.gggg

HELP PLZZZzZZZZZZZ ASAP !!

Answers

Answer:

1 8/25

Step-by-step explanation:

1 32/100 = 1 8/25

(What number makes the equation true? Enter the answer )4=20 divided by

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

We can divide 20 by 4 to find the other number that 20 is divisible by. 20 divided by 4 is 5. So, 20 divided by 5 is 4.

HELP PLEASE
what is the length of BC

Answers

Answer: b

Step-by-step explanation:

In which branch of statistics would a researcher acquire twenty-five 2000 Toyota Celicas, drive them until they had a major mechanical failure, record the final mileage, and then write a report for Car and Driver?

Answers

Answer:

The answer is "descriptive statistics".

Step-by-step explanation:

Descriptive statistics are short descriptive factors that add up a production set, that can be either a reflection of a whole or a sample population. It is broken down into cumulative frequency measurements and variance measurements. The study uses descriptive statistics to explain the profile of the respondents. People give simple summaries about the sample as well as the actions.

Select the correct answer.
The time, t, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation.
t=√2d/a
Which equation expresses d in terms of t and a?

A. d=2at^2
B. d=√2t/a
C. d=at^2/2
D. √a/2t

Answers

Answer:

(A)

Step-by-step explanation:

Option A. d=2at^2

720

Plato.

t=√2d/a

12=√2d/10

12²=(√2d/10)²

144=2d/10

2d=(144)(10)

d=1440/2

=720

Can an object accelerate if it's moving with constant speed?

Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.

Learn more about the constant speed at

https://brainly.com/question/2681210

#SPJ2

If we multiply a positive and a negative number, is the result positive or
negative?

Answers

Answer:

Negative

Step-by-step explanation:

It's negative because my math teacher said so a few years ago. Sorry for the not so great explanation... I didn't pay attention that day.

what happens to the kinetic energy of the particles in a substance when it is heated

Answers

Answer:

Step-by-step explanation:

The kinetic theory of matter can be used to explain how solids, liquids and gases are interchangeable as a result of increase or decrease in heat energy. When an object is heated the motion of the particles increases as the particles become more energetic

Find the slope: (1, -2) (7, -3)

Answers

Answer:

slope or m= -1/6

Step-by-step explanation:

Simplify:
3 [26 + (4 – 2) - (6 - 2)2]

Answers

Answer:

the answer is 60

Step-by-step explanation:

hoped I helped:)

Remember your PEMDAS! Do your parenthesis first (4-2) and (6-2), then multiply (6-2) by 2, finish off your big parenthesis with addition and subtraction, and finally, multiply by three.
It should go something like this:
3[26 + (2) - (4)2]
3[26 + (2) - 8]
3[28 - 8]
3[20]
60

3=e/2 what is e then?

Answers

Answer:

e=6

3=6/2

Step-by-step explanation:

              May I have brainiest I'm trying to level up!

                      </3 PureBeauty

The graph of g(x) = (x + 2)2 is a translation of the
graph of f(x)
V
by
units.
[It’s left by 2 units l! No ads :)]

Answers

Answer is 763 units thanks

Approximate: log5 ^4/7

Answers

Answer:

log5 (4/7)= log5 (4)- log5 (7)=-0.347708839

Step-by-step explanation:

for the first question which would be Approximate: log5 4/7 the answer would be B. –0.3477

and for the second question which would be Approximate: log1/2 5 the answer would be C.–2.3219

 

Answer: Option B ( -0.3477 )

Step-by-step explanation:   Using Properties of Logs

logb(x/y) = logbx - logby.

Furthermore

log5 (4/7)= log5 (4)- log5 (7)

Solve log 5 (4) and log 5 (7)  with the base change of the logarithm

log 5 4 = log 4 / log 5

Use the calculator (DESMOS):  log 5 4 =0.8613531161

log 5 7 = log 7 / log 5

log 5 7 =1.2090619551

Therefore, The answer is, log5 (4/7)= log5 (4)- log5 (7)=-0.347708839

For the second part of the question just to not make this too long the answer to the second part is: C ( -2.3219 )

HELP PLEEEAAASSSE ILL GIVE BRAINLYEST

Answers

Answer:

2

Step-by-step explanation:

Answer:

2x + 19.

Step-by-step explanation:

The reasoning behind this is that one must find the disparity between the first and second expressions - 9x+14 and 7x-5.  To do this, one subtracts 7x-5 from 9x+14.  Set this up as though it were a normal subtraction problem - 9x+14 over 7x-5 with the little subtraction symbol to the left.  When subtracting the negative five from fourteen, one adds the five to the fourteen due to the fact that the five was already negative and as such the negatives cancel out.  The 7x is simply subtracted from the 9x, resulting in 2x.  This leads to 2x + 19.

Help on both questions plz

Answers

Answer:

1. 109.5 .   2.  3.75

Step-by-step explanation:

1. 30% of 365 = 109.5

365-109.5 = $255.5

2. 15% of 25 = 3.75

Terry pays £480 per month in rent.
His landlord decides to increase the rent by 7.5%.
How much rent does he pay now?

Answers

Answer: £516

Step-by-step explanation:

7.5 increase = 100 + 7.5 = 107.5

107.5/100 = 1.075 (multiplier)

480 x 1.075 = 516

How many 5/16's are in 1 1/17? help pls

Answers

Answer:

2 and 1

Step-by-step explanation:

5 could only go in 16 2 Times and 11 could only go in 17 1 time

simplify -3/5-(-1/10)

Answers

Answer:

-1/2

Step-by-step explanation:

Change the signs

-3/5 + 1/10

-6+1/10

-5/10

Reduce

-1/2

Answer:

-1/2

Step-by-step explanation:

Change the signs

-3/5 + 1/10

-6+1/10

-5/10

Reduce

-1/2

Elena paints the back of a aquarium it has a height of 1 3/4 feet the painted area is 5 5/6 what is the length

Answers

Answer:

3 1/3 feets

Step-by-step explanation:

Given that:

Height of aquarium = 1 3/4 feets

Area of aquarium = 5 5/6 ft²

The length of aquarium = x

Aquarium is shaped in the form of a rectangle :

Area of a rectangle = Length * width

5 5/6 = x * 1 3/4

35/6 = 7x/4

Cross multiply :

7x * 6 = 35 * 4

42x = 140

x = 140 / 42

x = 3 14/42

x = 3 1/3 feets

Hence, Length of the back of aquarium is 3 1/3 feets

Evaluate the expression.​

Answers

Answer:

150

Step-by-step explanation:

z=5

x=9

y=3

plug the numbers into a calculator

(9-3)=6

5^2=25

25*6=150

Step-by-step explanation: To handle these evaluation problems, you must be able to deal with positives and negatives, and you must know your order of operations. In addition, it's a good idea to get into the habit of using parenthses when substituting numbers in for variables.

Notice that we have a set of parenthses in our problem and remember that we use parenthses when substituting our numbers into the problem.

To avoid the confusion of having too many sets of parenthses,

let's change the parenthses in the original problem to brackets.

Now let's substitute using parenthses.

So we have (5)² · [(9) - (3)].

Since the parenthses were in the original problem were replaced

by brackets and parenthses come first in your order of operations,

in our problem the brackets are going to come first.

So first simplify 9 - 3 which is 6.

So we have (5)² [(6)].

Exponents come next so we square the 5 to get 25

and that gives us (25) [(6)] which is 150.

4 2/5+k=−3 2/11

Need help

Answers

Answer:

2/11

Step-by-step explanation:

Here we have two mixed numbers. Be very careful when handeling negative mixed numbers. Don't coonfuse "-3 2/11" with "-3 + 2/11"

4 2/5 + k = -3 2/11

I add a minus into the mixed fraction on the right. Of course you don't have to write an entire new line when you do calculations on paper.

4 2/5 + k = -3 -2/11

k = - 3 - 4 - 2/5 - 2/11

k= - 7 -2/5 -2/11

Make common denominators. Both 11 and 5 is prime numbers (numbers that are only divisible by one and itself). Therefore the common denominator is 5*11=55.

k= - (7*55)/55 - (2*11)/(5/11) - (2*5)/(11*5)

k = - 385/55 - 22/55 -10/55

k = - (385 +22+10)/55

k = - 417/55

Since 417 isn't divisible by neither 11 nor 5, this fraction is in it's simplest form.

btw correct me if i am wrong

Answer:

[tex] k = - 1 \frac{12}{55} [/tex]

Step-by-step explanation:

[tex]4 \frac{2}{5} + k = 3 \frac{2}{11} \\ \frac{22}{5} + k = \frac{35}{11} \\ k = \frac{35}{11} - \frac{22}{5} \\ k = \frac{175 - 242}{55} \\ k = \frac{ - 67}{55} \\ k = - 1 \frac{12}{55} [/tex]

Can I have the brainliest please ??

A printer can print 12 pages in 9 seconds. what is the closest estimate of the number of pages it can print in one minute?

a.100
b.45
c.120
d.72​

Answers

Answer:

D.72

Step-by-step explanation:

A store is having a 20% off sale on all merchandise 1. If Mai buys one item and saves $13 what was the original price

Answers

Answer: $65

Step-by-step explanation:

The store is having a 20% off sale.

Mai buys an item and saves $13.

This means that $13 is 20% of the price of the item that Mai bought.

Assume the original price is x. Expression is:

x * 20% = 13

x = 13/20%

x = $65

Please help me ASAP

Answers

Answer:

12

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4*4*4=64

i’ll give brainliest

Find the y-intercept of the line on the graph.
Enter the correct answer

Answers

Given:

The graph of a line.

To find:

The y-intercept of the line.

Solution:

y-intercept of a line is the point at which the line intersect the y-axis.

We have, graph of the line.

From the given graph it is clear that the line intersect the y-axis at (0,4).

So, y-intercept is at point (0,4).

y-intercept = 4

Therefore, the y-intercept is 4.

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