Answer:
5!= 5×4×3×2×1
117+3=120
5×4×3×2×1= 120
therefore 117+3=5! is correct
The statement 117+3 = 5! is correct because;
The left hand side and right hand side give the same solution of 120.
We want to find out why 117 + 3 = 5! is correct.
Let us first find the left hand side of the equation;
117 + 3 = 120
Now, for the right hand side, 5! simply means 5 factorial.
Factorial of a number is a term used in maths to denote the product of all
positive integers less than or equal to that number. For example; n!. That is
factorial and it means the product of all positive integers below n.
Let's apply the concept of factorial to 5!.
All positive integers less than or equal to 5 are; 5, 4 , 3, 2, 1
Thus; 5! = 5 × 4 × 3 × 2 × 1 = 120
This 5! = 120 and it is the same as 117 + 3 = 120. Thus the given statement in the question is true.
Read more at; https://brainly.com/question/24115376
This is the other question but also you can use the letters that’s on the right side !!
Answer:
Chrome and camera. 1000 mistakes
Step-by-step explanation:
bvggifui good go you uuuu to yyytyyyyggyhgghhhghhhhhhhhhbbhvvvdf uh oh utgggy
what is the area of a rectangle in sqare inches
Answer:
Step-by-step explanation:
To find the area of a rectangle in square inches simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
A marketing researcher must determine how many telephone numbers she needs to order from a sample provider to complete a survey of ATM users. The goal is to complete 400 interviews with ATM users. From past experience, she estimates that 70 percent of the phone numbers provided will be working phone numbers. The estimated incidence rate (percentage of people contacted who are ATM users) is 45 percent. Finally, she estimates from previous surveys that 37 percent of the people contacted will agree to complete the survey. How many telephone numbers should she order to complete the 400 interviews
Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress
9514 1404 393
Answer:
2 11/12 yards
Step-by-step explanation:
Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.
1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12
Carol will need 2 11/12 yards of the material for the dress.
Answer:
2 11/12 yards
Step-by-step explanation:
If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=
a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3
Answer:
since in second quadrant cos θ is negative.
Cos θ=b/h=2/3
b=2
h=3
p=√(3²-2²)
p=√5
Now
Tan θ=p/b=√5/2
since in second quadrant tanθ is negative
so
Tanθ=-√5/2
b. - (sqrt 5)/2
In second Quadrant cos is negative
cosØ=b/h=2/3So
b=2 and h=3
Perpendicular
p²=h²-b²p²=3²-2²p²=5p=√5tanØ=-p/b =-√5/2
What are the characteristics of a function and how can we identify them?
Answer:
A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.
x is most of the time the input and y the output for an equation:
y = 2x
of course the input and output could be any variable.
Step-by-step explanation:
Have a nice day!
Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?
A. x ≥ 12
B. x ≥ 11
C. x ≤ 10
D. x ≥ 10
Answer:
B x >= 11
Step-by-step explanation:
80 miles total, 14 miles already done => 80-14=66 miles left.
66 miles distributed evenly across 6 days means 66/6=11
The sportswear department had net sales of $550,000 last year, with markdowns of $33,000. This year plan sales are
$575,000. If the buyer is planning the same percent of markdowns this year as last year, what is the plan markdown dollars
for this year?
Answer:
$34,500
Step-by-step explanation:
1% of 550,000 = 5,500
33,000÷ 5,500 = 6%
1% of 575,000 = 5,750
5,750 x 6 = 34,500
What’s the exact volume of the cone?
Answer:
3.......................
Which expression uses the associative property to make it easier to evalute?
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
[tex]A\times (B\times C)=(A\times B)\times C[/tex]
We have,
[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]
Hence, the correct option is (c).
amelia used 6 liters of gasoline to drive 48 kilometers.
how many kilometers did amelia drive per liter?
at that rate, how many liters does it take to drive 1 kilometer?
Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
Answer:
7. 123
8. 38
9. 68
10. 65
11. 113
12. 52
Step-by-step explanation:
Answer:
7) 123°
8) 38°
9) 68°
10) 65°
11) 113°
12) 52°
Help, will mark brainliest, and show work
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).
Thus, we can set up the following proportion:
[tex]\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}[/tex]
write an equivalent expression in word form
3/8 x (1 - 1/3)
Answer:
I think it is 1/4x not sure but try it
ASAP pleaaase ASAP ASAP I’ll give a brainliest
A student had 10 marks in mathematics. But he remembers only 7 of them:
1,1,2,2,3,4,5. The mode of the marks is 3 and the mean is 2.9. What are the
missing marks? Once you manage to find these marks, create a frequency
table for the students' scores and visualize the results with a bar chart.
Answer:
The missing marks are 3, 3, and 5.
Step-by-step explanation:
Since the mode is 3, that means it's the number that occurs most often. The numbers 1 and 2 occur twice so there must be at least 3 3's on the list. But since the mean is 2.9, the third mark cannot be a 3 because it will make the mean only 2.7 so the 3rd mark can be either a 4 or a 5. Using 5 will make the mean 2.9. I take it that you know how to make a bar graph for this problem.
ion: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the =α0.01 level of significance and the critical value method with t
Answer:
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Step-by-step explanation:
Test if the mean tuition and fees for private institutions in California is greater than $35,000.
This means that at the null hypothesis we test if the fee is of $35,000 or less, that is:
[tex]H_0: \mu \leq 35000[/tex]
And at the alternate hypothesis, we test if it is more than this value, that is:
[tex]H_a: \mu > 35000[/tex]
The test statistic is:
As we have the standard deviation of the sample, the t-distribution is used.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
35000 is tested at the null hypothesis:
This means that [tex]\mu = 35000[/tex]
The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900.
This means that [tex]n = 13, X = 38000, s = 7900[/tex]
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{38000 - 35000}{\frac{7900}{\sqrt{13}}}[/tex]
[tex]t = 1.37[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 38000, which is the pvalue of t = 1.37, with 13 - 1 = 12 degrees of freedom, using a one-tailed test.
With the help of a calculator, this pvalue is of 0.0979.
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now
Answer:
119 cm
Step-by-step explanation:
20 - 3 = 17
(140/20)(17) = 119 cm
A candy company wants to create a wrap around label for a candy bar which will go around the candy bar. The candy bar is in the shape of a triangular prism where the triangle is an isosceles triangle. The company packages 24 candy bars in each case. How many square centimeters of paper will be needed to create labels for a case of candy bars?
Answer:
b
Step-by-step explanation:
what is the answer ?
640
240
300
and 320
Step-by-step explanation:
10±10±30±30=80
8round = 80×8=640
don't forget me to followAnybody know the answer to this problem be correct
Answer:
28 out of 40
2(20 - x)/40 for x questions wrong
Step-by-step explanation:
total points: 40
total Qs: 20
20-6 = 14
14/20 = 28/40
28
PLEASE HELP:(
In the book Cinder, What happened just after Prince Kai hired Cinder to fix his android?
The baker, Chang Sacha, showed symptoms of the plague and was taken away.
Adri sent her a comm telling her the apartment building was on fire.
A hover malfunctioned and crashed into Cinder's booth, destroying it.
She saw Pearl and her friends tormenting a young cyborg boy in the market.
Answer:
Adri sent her a comm telling her the apartment building was on fire.
Step-by-step explanation:
good luck
I don't really understand how to do this if you could help please help asap, thank you
Answer:
C
Step-by-step explanation:
Just use elimination strategy
1. The prism below measures 6 inches x 3 inches x 10 inches. A diagonal
line, d, is drawn inside the prism. Find the length of the diagonal, d. *
HELP!!!!
Answer:
C. 12.04 inches
Step-by-step explanation:
Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:
d² = x² + y² + z²
x = 10 in.
y = 6 in.
z = 3 in.
d² = 10² + 6² + 3²
d² = 100 + 36 + 9
d² = 145
d = √145
d = 12.0415946
d = 12.04 inches (nearest hundredth)
?! if you make $20,800 a year, what is your weekly salary? there are 52 weeks in a year
Answer:
you would make 400 each week
Step-by-step explanation:
4) Express 1697 in Roman figures:
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
1697 ➳ MDCXCVII
Answer:
MDCXCVII
Step-by-step explanation:
x root +29= root 4096
If 3x + 11 = 4x - 5, what is x?
Answer:
16v
Step-by-step explanation:
3x + 11 = 4x - 5
11+5 = 4x -3x
x = 16
I hope im right!!
Use the table to work out the values of a, b, c, and d.
20
= 22 + 3
2
_3
2
2
a
1
b
0
-2
1
2
2
с
3
d
a =
b =
с
= d
Step-by-step explanation:
what is the theoretical probability of not landing on red
Pleasee helppppp
Answer:
Step-by-step explanation:
there are a total of 6 distinct choices. 4 of the six , are NOT red.
so 4/6 or 2/3
P(not red) = 2/3
I need help with this
Answer:
is b
Step-by-step explanation:
porque si miras el (5) tienes que sacar la tercera parte pero la respuesta que es la mitad es 2