In how many ways can the letters in the word "STATISTICS" be arranged if the letter T must be the first
letter & no vowel can be the last letter?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

STATISTICS" is the 10 letters word in which "S" appears 3 times, "T" appears 3 times, "A" appears 1 time, "I" appears 2 times and "C" appears 1 times. To arrange this word letter "T" must be first letter so there is only one way to choose first place. Since vowel can not be the last letter there are 6 choices...


Related Questions

URGENT! I need this quickly please, what is the median? Thank you so much

Answers

Answer:

C. 51

Step-by-step explanation:

I did this already on a test and got the answer right.

Answer:

C

Step-by-step explanation:

let's sort the numbers first :

35, 38, 43, 45, 51, 51, 55, 62, 64

the median is now the middle number of the sorted list :

51

Claim: Fewer than 93​% of adults have a cell phone. In a reputable poll of 1059 ​adults, 88​% said that they have a cell phone. Find the value of the test statistic.

Answers

The answer would be = -16.60
Details in image

I need help with this

Answers

Answer:
it means that -76<-45

-76 is less than -45

A theater has 1,008 seats in 36 equal rows. How many seats are in each row?​

Answers

Answer:

28

Step-by-step explanation:

Rows are equal, so number of seats=N*36=1008

N-number of seats in a row

N=1008/36=28

Which percent is equal to 0.3
A 0.003%
B 0.03%
C 3%
D 30%

pls answer fast

Answers

Answer:

D. 30%

Step-by-step explanation:

Answer:

D) 30%

Step-by-step explanation:

→ a = 0.3

General formula,

→ a × 100 = %

Let's solve the problem,

→ 0.3 × 100

→ 30%

Thus, option (D) is answer.

How does f(t) = 3 x 9 ^t change over the interval from t = 6 to t = 7?

Answers

Answer:

sorry got it wrong on the first try. Increases by 800% is the answer

Step-by-step explanation:

put x = 3 into f(x)=6x and you get f(x) = 18

Put x = 4 into f(x) and you get f(x) = 24

Subtract those two. 24 - 18 = 6

Also, f(x) = 6x it will always be 6 away from the next x you put into the equasion.

Or better said, it will be 6 more from 6x, because you are changing the x to X+1, hence,

6(x+1) = 6x + 6.

+6, it increases.

Question 20. Describe the graph of the following equation.

Answers

Answer:

Step-by-step explanation:

Decreasing left to the right

horizontal line

increasing left to the right

Vertical line

Decreasing left to the right

please help!
find the value of x

Answers

180-94-41 = 45
180-45-111 = 24

The answer is x is 24 degrees

Answer:

24°

Step-by-step explanation:

[tex]180 - (94 + 41) = 45[/tex]

[tex]180 - (111 + 45) = 24[/tex]

Divide 0.4 / 41 Enter your answer as a decimal in the box.

Answers

Answer:

0.4 / 41=0.009760

It starts to repeat the same numbers

Step-by-step explanation:

One gallon of paint will cover 400 square feet. How many gallons of paint are needed to cover a wall that is 8 feet high and 100 feet long?
A) 1/4

B) 1/2

C) 2

D) 4

Answers

Answer:

the correct answer is option c. hope it helps. please mark me as brainliest .

Answer: C) 2

Explanation:

8 x 100 = 800 square feet
800/400 = 2 gallons

find the coordinats of P

Answers

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(8,6)\qquad B(-2,-9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(8,6)=3(-2,-9)[/tex]

[tex](\stackrel{x}{16}~~,~~ \stackrel{y}{12})=(\stackrel{x}{-6}~~,~~ \stackrel{y}{-27})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{16-6}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12-27}}{3+2} \right)} \\\\\\ P=\left( \cfrac{10}{5}~~,~~\cfrac{-15}{5} \right)\implies P=(2~~,~~-3)[/tex]

Help on this too pls

Answers

$330

Step-by-step explanation:

Half of 40 is 20 and luckily they already gave us how much she would earn if she worked 20 hours.

So all we have to do is multiply the amount of money she earned when she worked 20 hours by 2 to see how much she earned when she worked 40 hours.

20 hours:165 dollars or 20:165

20 x 2= 40 and 165x2=330

So if Monique worked 40 hours she would earn $330.

Just do 165 + 165 because if she got 165 on 20 you would just do the same thing times two so the answer is 330

Write an expression that is equivalent to 1/4x + 1 + 3/4 - 2/3 - 1/2x

Answers

Answer:

~Y/n here~ I beleive this is your answer!

1/12 (13 - 3x)

(Hope this helps!)

Select the correct answer.
What argument does Thomas Jefferson make in this excerpt from the Declaration of Independence?
Creator with

Answers

B. The American colonies have a right to seek freedom from Great Britain due to the continued oppression of their basic rights

Gravitational force between two objects decreases when the distance between them increases.
O True
O False

Answers

Answer:

True

Gravitational force is inversely proportional to the square of the distance

i need brainliest for level up please : )

True
Because more separation would result in weaker gravitational forces

the expression x^4-9

a. (x^2-3) (x^2-3)

b. (x^+3) (x^+3)

c. (x^2+3) (x^2-3)

d. (x^+1) (x^2-9)

Answers

Answer: C

Step-by-step explanation:

By the difference of squares, [tex]x^{4}-9=(x^{2}+3)(x^{2}-3)[/tex]

Need help with this please

Answers

Answer: for 10. the answer is 29y and 49y and for 11 the answer is 119 x 146y

Step-by-step explanation: Tutor verified) If you take 1-3x 57y92 you get 29y and if you get 5-4y 178x1 -119 wich is 146y

(((3x)^(-1)-(4y)^(-1)))/((9x)^(-2)-(16y)^(-2))..

Answers

Simplified: xy/3y+4x

factored: 1/(3/x)+(4/y)

What are the potential solutions to the equation below? 2In(x+3)=0 x=-3 and x=-4 x=-2 and x=-4 a=2and x=-3 a=2 and x=4

Answers

Answer:

x = -2 and x = -4

The solution to the given equation is [tex]x=-2[/tex] .

What are equations?

Equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

We have,

[tex]2ln(x+3)=0[/tex]

Now,

Divide the above equation by [tex]2[/tex],

We get,

[tex]ln(x+3)=0[/tex]

Using the properties of logarithms,

We get,

[tex](x+3)=1[/tex]          [tex](Because\ ln(0)=1)[/tex]

[tex]x=-3+1[/tex]

[tex]x=-2[/tex]

So, the solution to [tex]2ln(x+3)=0[/tex] is [tex]x=-2[/tex] , using properties of logarithms.

Hence, we can say that the solution to the given equation is [tex]x=-2[/tex] .

To know more about equation click here

https://brainly.com/question/2263981

#SPJ3

Over the weekend, Cedrick drove 45 1/4 miles. He used 2 1/2 gallons of gasoline. What is the unit rate for miles per gallon?

Answers

1 [tex] \frac{5}{8}\\ [/tex]

Step-by-step explanation:

To find unit rates, divide the number in the numerator of the rate by the number in the denominator of the rate. A car traveled 344 miles on 16 gallons of gasoline. To find the miles per gallon (unit rate), divide the numerator of the rate by the denominator of the rate. 344/16 = 21.5 miles / gallon is the rate.

==> [tex] 45\frac{1}{4} \div 2 \frac{1}{2} [/tex]

==>[tex] \frac{181}{4} \div \frac{5}{3} \\ [/tex]

==>[tex] \frac{181}{4} \times \frac{2}{5} [/tex]

==>[tex] \frac{362}{20} [/tex]

==> 18.1

==> 1 [tex] \frac{5}{8}\\ [/tex]

Marie noticed that she was eating 2100 calories per day she began a diet and limited herself to 1300 calories per day. What is the percent of decrease? Round to the nearest percent. ​

Answers

Answer:

decrease of 38% (to nearest percent)

Step-by-step explanation:

Percent change = [ (difference between final and initial value) ÷ initial value] x 100

⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)

What is 67% of $242.07?

Round your answer to the nearest cent.
PLS I NEED IT RIGHT NOW ITS MY HOMEWORK AND ITS DUE AT 11

Answers

The answer is $162.1869 which is $162.19
Please give brainliest!

Answer:

67% as a fraction is 67/100

using the keyword 'of' they mean to multiply

67/100 x 242.07 = 162.1869, rounding to the nearest cent would be $162.19

Is 7x=5x-25+30 no solution,one solution, or all real numbers?

Thank you!

Answers

One solution let's find that

[tex]\\ \rm\hookrightarrow 7x=5x-25+30[/tex]

[tex]\\ \rm\hookrightarrow 7x=5x+5[/tex]

[tex]\\ \rm\hookrightarrow 2x=5[/tex]

[tex]\\ \rm\hookrightarrow x=5/2[/tex]

Answer:

one solution

Step-by-step explanation:

[tex]7x=5x-25+30[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-25+30=5[/tex]

[tex]7x=5x+5[/tex]

[tex]\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}[/tex]

[tex]7x-5x=5x+5-5x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2x=5[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2}=\frac{5}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2.5[/tex]

~lenvy~

what is the answer please

Answers

Answer:

504 [tex]in^{2}[/tex]

Step-by-step explanation:

area of the square -> 14*14 = 196

area of one of the triangles -> 1/2(11*14) = 77

area of all four triangles -> 77 * 4 = 308

surface area = area of square + area of four triangles

= 196 + 308

= 504

Given that ABCD is a rhombus. Prove ∠1≅∠2.

Answers

Answer:

1) ABCD is a rhombus

2) All sides of a rhombus are equal.

4) SSS

5) CPCTC

Diane is participating in a 6-day cross-country biking challenge. She biked for 54 , 50 , 47 , 55 , and 60 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 53 miles per day?

Answers

The formula for mean/average is m = sum of the terms/number of the terms. Basically, you add all the numbers provided and divide it by how many of them.

So our terms are 48, 54, 51, 69, 64. We are missing the last term, which the problem needs us to find, in order to meet the requirement of the average 58 miles per days, which is m.

Let's call the last term x.

m = sum of the terms/number of the terms

58 = (48 + 54 + 51 + 69 + 64 + x)/6

We need to work backward the formula to find x.

Because (48 + 54 + 51 + 69 + 64 + x) divided by 6 gives us the m, which is 58, we will multiply 58 by 6 to give us the sum of (48 + 54 + 51 + 69 + 64 + x)

58 * 6 = 348

So 348 is the sum of 48 + 54 + 51 + 69 + 64 + x. Let make it into an equation:

48 + 54 + 51 + 69 + 64 + x = 348. Now, simplify it by adding all the values except x.

286 + x = 348. Now what is left is to take 348 minus 286, which gives us 62.

Let's check by plugging 62 as x into the mean formula.

(48 + 54 + 51 + 69 + 64 + 62)/6 = m = 58

Hope this helps!

What is probability ​P(56

Answers

Answer:

10

Step-by-step explanation:

pretty sure

PLEASE HELP ME ANSWER THIS QUESTION I WILL MARK YOU BRAINLIEST

Answers

Function 1 :

We can identify the y-intercept very easily. Since, The equation is given in slope-intercept form:

[tex]y = mx + b[/tex]

Where,

m is slopeb is y-intercept

Compare to the given equation:

m = -1/4b = -5

Function 2 :

Observe the point where function meets the y-axis

The point of meeting is (0,-5)Thus, The y-intercept is -5

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] - 5 = - 5[/tex]

Therefore, Both functions have the same y-intercepts...~

er
5 ~ Challenge: Iris is considering adding a vegetable
garden in her yard. She has a square space with an
area of 25x2 + 40x + 16. Find an expression to
represent the side lengths of the possible vegetable
garden. Sketch her vegetable garden.
e new
ual
ermine
-ssion
How?

Answers

Answer:

(5x+4)x(5x+4)

Step-by-step explanation:

Factor using quadratic formula (or AC method if you prefer)

formula: [-b ±[tex]\sqrt{b^{2} -4ac}[/tex]]/2a

Plug in

[-40 ± [tex]\sqrt{1600-1600}[/tex]]/2(25)

-40/50

x=-4/5

But since we need to find the factored form we put everything on one side.

5x+4=0

Since there is no ±, that means that there is perfect square. Both sides would be 5x+4

if 50 percent of number is 26 what is 75 percent of

Answers

Answer:

If 50%= 26 25%=13 (half)

50%+25%=75%

so 26+13= 39.

75%=39

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