Answer:
650,000,000 student ID numbers are possible if the letters cannot be repeated.
Step-by-step explanation:
The order in which the digits or letters are placed is important, which means that the permutations formula is used 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:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 letters from a set of 26(permutations, as letters cannot be repeated).
6 digits, each with 10 possible outcomes.
How many student ID numbers are possible if the letters cannot be repeated?
[tex]T = 10^6 \times \frac{26!}{24!} = 650000000[/tex]
650,000,000 student ID numbers are possible if the letters cannot be repeated.
The perpendicular sides of a triangular rug measure 3 feet and 4 feet. Calculate the perimeter of the rug. a. 39 ft c. 21 ft b. 7 ft d. 12 ft Please select the best answer from the choices provided A B C D
Answer:
D
Step-by-step explanation:
In the comments tell me if you want me to explain.
Answer:
D
Step-by-step explanation:
edge2021
17,13,16,18,38,14,21,24
Answer:
if the question is asking about the next numbers the it should be: 27,30,33,36
Step-by-step explanation:
the pattern is +3 so you keep on adding
Help me please??ndjfbd
Answer:
A
Step-by-step explanation:
Becuase the proability of drawing a red marble is 10/20 or 50% and drawing a green marble is 4/20 or 20% and drawing a red marble is 6/20 or 30%
pls help me with all of them ill give 81 points
Answer:
1. No
2. Yes
3. [tex]\sqrt{80}[/tex]
4. x=8
Step-by-step explanation:
1.
6^2+8^2
=36+64=100
9^2=81
100≠81
No
2.
5^2+12^2
=25+144
=169
13^2=169
169=169
Yes
3.
x^2=4^2+8^2
x^2=16+64
x^2=80
x=[tex]\sqrt{80}[/tex]
4.
x^2+6^2=10^2
x^2+36=100
x^2=64
x=[tex]\sqrt{64}[/tex]=8
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
v = 196.25
Step-by-step explanation:
v = 3.14*r^2*h
v = 3.14*5^2*2.5
v = 196.25
Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the edges of the small cube. What is the volume of the larger cube?
Answer:
1534
Step-by-step explanation:
34 35 baby you might need a seatbelet
Can someone please give me the answer I will mark u brilliant
Answer: The first solid's volume is 15/16 or 0.9375. The second solid's volume is 7/4, 1 3/4, or 1.75.
Step-by-step explanation:
First Solid
V= l*w*h
V= 5/8*3/4*2
V= 15/16
15/16 as a decimal is 0.9375
Second Solid
V= l*w*h
V= 6*7/12*1/2
V= 7/4
7/4 as a mixed fraction is 1 3/4. 7/4 as a decimal is 1.75.
Mark won 79 lollipops playing hoops at his school game night. Later, he gave three to each of his friends. He only has four remaining. How many friends does he have?
Answer:
25 friends
Step-by-step explanation:
79 - 4 = 75.
75 ÷ 3 = 25
25 friends
A chi-square test of independence was conducted to investigate whether there is an association between the location where a person lives in a city (north, south, east, or west) and who the person planned to vote for in the upcoming mayoral election (the incumbent or the challenger). A random sample of 100 potential voters was selected, and the hypothesis test had a chi-square test statistic of χ2=9.84 with a p-value of 0.02. Which of the following statements is the correct interpretation of the p-value in context?
(A) There is a 2 percent chance that where a person lives and who that person plans to vote for are independent.
(B) There is a 2 percent chance that where a person lives and who that person plans to vote for are dependent.
(C) There is a 2 percent chance of making a Type II error.
(D) Assuming that the location of where a person lives and who that person plans to vote for are dependent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
(E) Assuming that the location of where a person lives and who that person plans to vote for are independent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
Answer:
E) Assuming that the location of where a person lives and who that person plans to vote for are independent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
Step-by-step explanation:
Chegg
the sum of the first night term of an AP is n^2-3n. write down the 10th term
Answer:
T10 = 16Step-by-step explanation:
Using the expression for calculating the sum of an AP as:
Tn = Sn - Sn-1
When n = 10
T10 = S10 - S9
Given that;
Sn = n²-3n
S10 = 10²-3(10)
S10 = 100 - 30
S10 = 70
S9 = 9² - 3(9)
S9 = 81 - 27
S9 = 54
Substitute the given values
T10 = S10 - S9
T10 = 70 - 54
T10 = 16
Hence the 10th term of the sequence is 16
Which is a measure of the efficiency of an investment?
A.efficiency cocfficient
B.return on investment
C.return rato
Answer:
B. return on investment
Step-by-step explanation:
Return on Investment (ROI) is a performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.
The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these. None, Positive, or Negative thanks so much.
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The higher the amount you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.
What was the original price of the sweater, in dollars
The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation: Sorry if this doesn't help....
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answer:
1560 cm²
Step-by-step explanation:
4*5*22 = 440 cm²
25*8*10 = 2000 cm²
find the difference between the two numbers to find the volume of the solid part of the box
Brₐinliest plz close to leveling up
simplify the variable expression: g-16/4
Answer:
im not sure if this is what ur looking for but id k hopefully yes
Step-by-step explanation:
-16/4=-4
g-4
The solution after simplifying the variable expression by evaluating its numerical part is (g - 4).
Given that,
The expression is,
[tex]g - \dfrac{16}{4}[/tex]
Used the concept of expression by combining the like terms.
Now, simplify each term as,
[tex]g - \dfrac{16}{4}[/tex]
Here, [tex]\dfrac{16}{4} = 4[/tex]
So, we get;
[tex]= g - 4[/tex]
Therefore, the solution is (g - 4).
To learn more about the equation visit:
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Question
What was the equation of the graph below before it was shifted to the right 1
unit?
simplify
[tex] {a}^{2} - {b}^{2} [/tex]
Answer:
a² - b²
= (a+b) (a-b)
Hope it helps!
**WILL GIVE BRAINIEST Whats the value of x
Answer:
109.899098772yd
Step-by-step explanation:
90-16=74
cos(74)=x/640
Help ASAP please ‼️
What is the value of x?
(5х)
o 14
15
оооо
110
110°
70°
Answer:
14
Step-by-step explanation:
The internal angle sum of a 4 sided polygon is 360 so set it equal to 360. 5x+110+110+70=360
5x+290=360
5x=70
x= 14
help me...................
Answer:
A. 4
Step-by-step explanation:
The answer to this question is option A. which is 4. This is because for every value of 5 or above, we round up to the next digit. For option B and C, those values are either 5 or above. This means that choosing those values would give a new value of 74.16, not 74.15 as the answer is showing.
3. Figure ABCD Shown below is
made up of a semlore and a
rectangle. O is the contre of the
line DC
(Use
- )
10 cm
Calculate the area of
anglo AOB
Answer:
In a rectangle ABCD of 3 mx 4 m, starting from A and D, along the sides AB and DC after every 30 cm, a square shape of 10 cm is taken out as shown below. What will be the perimeter (in cm)
Step-by-step explanation:
12 CM And 300 CM is the answer
A ferry began its journey at 08 00 and travelled 208 km towards its destination.
The average speed of the ferry was 32 km/h. What time did the ferry reach its
destination?
please help
answer:
14 30
Step-by-step explanation:
208/32=6.5
6.5 hours is 6 hours 30 min
08 00 + 6h 30min =14 30/2.30
The ferry reached its destination at approximately 14:30 or 2:30 PM.
To determine the time the ferry reached its destination, we need to divide the distance traveled by the average speed of the ferry.
Distance traveled = 208 km
Average speed = 32 km/h
Time = Distance / Speed
Time = 208 km / 32 km/h
Calculating this, we find:
Time = 6.5 hours
Since the ferry started its journey at 08:00, we can add 6.5 hours to that time to determine the arrival time.
08:00 + 6.5 hours = 14:30
Therefore, the ferry reached its destination at approximately 14:30 or 2:30 PM.
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Suppose that you're paid $63.24 for 7 hours of work. What is your hourly pay rate?
Answer:
$9.03
Step-by-step explanation:
Using x for pay rate
63.24=7x Divide both sides by 7
x=9.03
What is the answer to this question
Answer:
Excuse me, I believe you forgot to put your questio! To get the desired answer, I highly recommend to oost another question!
Have a great day!
Yours Truely, TheAnimeCatUwU
Step-by-step explanation:
A cylindrical soup can has a radius of 1.1 in. and is 5.4 in. tall. Find the volume of the can and round to the nearest tenths if necessary
Answer:
[tex]V=20.52\ in^3[/tex]
Step-by-step explanation:
Given that,
The radius and the height of the cylindrical soup can are 1.1 inch and 5.4 inch.
We need to find the volume of the can.
The formula for the volume of the can is given by :
[tex]V=\pi r^2 h\\\\V=\pi \times (1.1)^2 \times 5.4\\\\V=20.52\ in^3[/tex]
So, the volume of the can is equal to [tex]20.52\ in^3[/tex].
Help with math please, just 7 and 9. Please explain thanks.
Answer: #7 x=16 #9 x=27
Step-by-step explanation:
#7
This is an isosceles triangle, so the angles formed at the base of the congruent sides are equal.
5x-7=8x-55
48=3x
16=x
#9
This is an equilateral triangle (if 2 angles are 60, the third has to be 60 as well) so the sides are equal
7x+19=11x-89
108=4x
27=x
Given the function h(t) = 2t second power + 9, evaluate h(5).
Step-by-step explanation:
hope this help you! have a great day
Alex is saving money at a constant rate. Suppose she initially has $170 saved, and after 5 months, she has $420 saved.
Which of these expresses the rate at which Alex is saving?
Answer:
50 dollars per month
Step-by-step explanation:
Money saved over time period x / Time period x = $250/5 months=$50/1 month
Area = ???????????????
Answer:
x^2+10x+21
Step-by-step explanation:
Blue box: x*x=x^2
Green box: x*3=3x
Purple box: 7*x=7x
Orange box: 7*3=21
x^2+(3x+7x)+21
Combine like term
A: x^2+10x+21
Battery life for a hand-held computer is normally distrituted and has a population standard deviation of 7 hours. Suppose you need to estimate a confidence interval estimate at the 95% level of confidence for the mean life of these batteries. Determine the sample size required to have a margin of error of 0.585 hours. Round up to the nearest whole number.
Answer:
A sample size of 551 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 7 hours.
This means that [tex]\sigma = 7[/tex]
Determine the sample size required to have a margin of error of 0.585 hours.
This is n for which M = 0.585. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.585 = 1.96\frac{7}{\sqrt{n}}[/tex]
[tex]0.585\sqrt{n} = 1.96*7[/tex]
[tex]\sqrt{n} = \frac{1.96*7}{0.585}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*7}{0.585})^2[/tex]
[tex]n = 550.04[/tex]
Rounding up(as for a sample of 550 the margir of error will be a bit above the desired target):
A sample size of 551 is required.