There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is
[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]
or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:
[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]
and
[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]
which means the sum we want is 14,950 - 1,196 = 13,754.
What is the probability of selecting a red jack from a deck of cards?
Answer:
There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.
Step-by-step explanation:
the area of a circle in terms of pi is 4pi m2. find the value of the diameter
Answer:
4 m
Step-by-step explanation:
The area of a circle is given in terms of diameter by ...
A = (π/4)d²
Then the diameter in terms of area is ...
d = √(4A/π)
For the given area, the diameter is ...
d = √(4·4π/π) = 4 . . . meters
The diameter of the circle is 4 meters.
what is 4% of 32? is it a percent, base, or amount
Answer:
1.28 - amount
Step-by-step explanation:
You would multiply 32 times 0.04 and get 1.28 which I assume would be an amount.
The amount of 4% of 32 is 1.28.
We have to determine what is 4% of 32.
What is the percentage?
This free percentage calculator computes a number of values involving percentages, including the percentage difference between two given values.
Suppose it is an x percent.
Therefore x multiply 32 times 0.04 and get 1.28 an amount.
To learn more about the percentage of visits:
https://brainly.com/question/24304697
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suppose you have $20 in your bank account. you start saving $5 each week. your friend has $5 in his account and is saving $10 each week. assume neither of you make any withdrawals.
Answer:
Question is missing
Step-by-step explanation:
Question missing
can someone heelp me
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Guide}\downarrow\\\large\text{10's = X}\\\large\text{20's = XX}\\\large\text{30's = XXX}\\\large\text{40's = XL}\\\large\text{50's = L}\\\large\text{60's = LX }\\\large\text{70's = LXX}\\\large\text{80's = LXXX}\\\large\text{90's = IX}\\\large\text{100's = C}\\\large\text{200's = }CC \\\large\text{300's = CCC}\\\large\text{400's = CD}\\\large\text{500's = D}\\\large\text{600's = DC}\\\large\text{700's = DCC}\\\large\text{800's = DCCC}\\\large\text{900's = CM}\\\large\text{1,000's = M}[/tex]
[tex]\large\textsf{NOW THAT WE HAVE THAT GUIDE/INFORMATION OUT OF}\\\large\textsf{THE WAY, WE CAN ANSWER YOUR GIVEN QUESTION.}[/tex]
[tex]\huge\text{1,052 = \boxed{\rm{\bold{M}LII}}}\huge\checkmark\\\\\\\\\huge\text{450 = \boxed{\rm{\bold{CD}L}}}\huge\checkmark\\\\\\\huge\text{952 = \boxed{\rm{\bold{CM}LII}}}\huge\checkmark\\\\\\\huge\text{942 = \boxed{\rm{\bold{\bold{CM}}XLII}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=23(0.292)^x
what is the % increase
Answer:
Decay
since 0.292 is less than 1
% rate of decrease
1 - 0.292 = 0.708
70.8%
Which table represents y as a function of x?
X
1
2
0
0
1
2
3
3
X
-1
-1
o
2
1
0
2
3
X
V
1
10
2
3
0
1
2
3
x
V
-1
-1
0
-1
Answer:
reduce
Step-by-step explanation:
become it is un solvef
Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11
Answer:
g(f(-3)) = -11
Step-by-step explanation:
First, we evaluate f(-3) and then plug that value into g(x) for x:
f(x) = 5x + 11
f(-3) = 5(-3) + 11 = -15 + 11 = -4
Therefore:
g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11
Answer: -11
Step-by-step explanation:
Find the value of g(f(-3)) given the two equations:
f(x) = 5x + 11
g(x) = x² + 4x - 11
Plug -3 into equation f(x).
f(-3) = 5(-3) + 11
Solve for f(x).
-4 = f(-3)
Plug -4 into the equation of g(x).
g(-4) = (-4)² + 4(-4) - 11
Solve for g(x).
g(-4) = (16) + (-16) - 11
g(-4) = -11
The value of g(f(-3)) is -11.
If AB = AC; then B = C if
1. A is a square matrix
2. A is a null matrix
3. A is an identity matrix
4. A can be any matrix
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2, what is the exact measure of θ? Give your answer in radians.
Answer:
Please double check the question
y = 2√2 is not on the unit circle
The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,
How to get the angle?A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]
[tex]1^2=\dfrac{2}{4}+y^2[/tex]
[tex]1-\dfrac{1}{2}=y^2[/tex]
[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
brainly.com/question/17972372
pls help with this
15 points
with calculations also so i understand
Answer:
4200
Step-by-step explanation:
[tex]men = x \\ 360 - 130 = 260 \\ 260 = 2800 \\ 130 = x \\ 2800 \times 130 \div 260 = 1400 \\ total = 1400 + 2800 \\ = 4200[/tex]
9514 1404 393
Answer:
10080
Step-by-step explanation:
The angle occupied by Women voters is ...
360° -130° = 230°
Then the angle difference between the two sections is ...
Women voters - Men voters = 230° -130° = 100°
The number of voters is proportional to the angle they occupy on the pie chart. That means ...
(difference in voters) / (total voters) = (difference angle) / (total angle)
2800 / (total voters) = 100° / 360°
Cross multiplying gives ...
360° × 2800 = 100° × (total voters)
Dividing by 100° gives ...
total voters = (360/100)×2800 = 10080
The total number of voters in the election is 10080.
Find the probability if three dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)
Using the binomial distribution, it is found that there is a 0.3472 = 34.72% probability that it comes up five exactly once.
For each dice that is rolled, there are only two possible outcomes, either it comes up 5, or it does not. The probability of a dice coming up 5 is independent of any other dice, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are three throws, hence [tex]n = 3[/tex].A five is one of the six sides, hence [tex]p = \frac{1}{6} = 0.1667[/tex]The probability that it comes up five exactly once is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.1667)^{1}.(0.8333)^{2} = 0.3472[/tex]
0.3472 = 34.72% probability that it comes up five exactly once.
A similar problem is given at https://brainly.com/question/24863377
I need help on the "the slopes are" part on these 2 plz help
Answer:
Negative reciprocals
so 13+139+123+129 so WHAT does this =
Answer:
404
Step-by-step explanation:
you just add numbers you know first
What integer is equivalent to 25 3/2?
Answer:
[tex]25\frac{3}{2} =26.5[/tex]
Step-by-step explanation:
This mixed number can be separated into 25 and [tex]\frac{3}{2}[/tex]. Convert the fraction to a decimal by plugging it into a calculator, then add 25.
If you meant what whole number is equivalent, that does not exist.
2+5(8-5)
Is it 17 or 21 cause me in my sister having a full blown argument right now
Answer:
The answer is seventeen (17)
What is 1/3÷1/2 math answers?
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
please help me w my khan academy
Answer:
in armed forces is .15%
military dependant is 3%
and civilian is 96%
Step-by-step explanation:
hope this helps! ❄︎
Nate worked for 12 hours last week. He took out $33 to put in his savings account and still had $99 to spend. Write an equation to find how much money Nate made per hour.
Answer:
Do 99 / 12 = 8.25 Then to check if it works, do the opposite operation and multiply 8.25 x 4 = 33 so it works. The unit rate is $8.25 per hour.
99 / 12 = p or 99 / 12 = 8.25
Step-by-step explanation:
BRAINLIEST?
Answer:
33+99=132 132/12=11
Step-by-step explanation:
Subtraction as Adding the Opposite
3x + 5.5 < 20.5
please help
Answer:
x < 5
Step-by-step explanation:
[Given] 3x + 5.5 < 20.5
[Subtract 5.5 from both sides] 3x < 15
[Divide both sides by 3] x < 5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
1cm +4cm+2cm+1.5cm+2.5cm
find its perimeter
Answer:
11 cm
Step-by-step explanation:
add whole numbers
1 + 4 + 2 = 7
add decimal numbers
1.5 + 2.5 = 4
add the answers
7 + 4 = 11
have a splendid day <3
Answer:
11cm
Step-by-step explanation:
To find perimeter, you simply just add each of the side lengths.
To make this easier to read, lest group some of the terms
1cm + 4cm = 5cm
2cm + 1.5cm = 3.5cm
5cm + 3.5cm = 8.5cm
8.5cm + 2.5cm = 11cm
The five terms are bolded to make sure that we added each term in the sum.
What is 6 3/4 percent of 800
Answer:
answer is 746.
have a nice day and do good in math
A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?
Answer::2,075,673,600 batting orders may occur.
Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.
What are the solutions of x2 - 2x + 10 = 0 ?
Answer:
Step-by-step explanation:
=
−
±
2
−
4
√
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
−
2
+
1
0
=
0
x
2
−
2
x
+
10
=
0
x2−2x+10=0
=
1
a
=
1
a=1
=
−
2
b
=
−
2
b=−2
=
1
0
c
=
10
c=10
=
−
(
−
2
)
±
(
−
2
)
2
−
4
⋅
1
⋅
1
0
√
2
⋅
1
x
Answer:
C. x=1+3i, x=1-3iStep-by-step explanation:
[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]
An estimate for - 72
-8.1
-8.5
-9.1
-9.5
[tex]solution[/tex]
[tex] \sqrt{72} [/tex]
Factor the expression
[tex] \sqrt{6 }^{2} \times 2[/tex]
Use the properties of radicals
[tex] \sqrt{6 {}^{2} } \sqrt{2} [/tex]
simplify the root
[tex]answer[/tex]
[tex]6 \sqrt{2} [/tex]
Answer:
the answer is -8.5
you should use m.a.t.h.w.a.y it is very helpful with math and brainly would not let me say the name the correct way so I had to put periods but anyways have a good day or night
︎
Need help with this assignments
Given values:-
P= 0.97
V= 2.85
R= 0.082
T= 295
n= ?
we have given formula,
PV=n RT
so,
n = PV/RT
[tex]n = \frac{0.97 \times 2.85}{0.082 \times 295} \\ = \frac{2.7645}{24.19} \\ = 0.1142 \\ = 0.11[/tex]
0.11 is your answer.
f(x)=ax^2 +bx +c solve: heigh 275 width 290
Answer:
800 i think
Step-by-step explanation:
Expand the function.
f(x) = (2x + 3)4
Answer:
y = 8x + 12
Step-by-step explanation:
y = (2x + 3)4
Distribute the 4 to the 2x and 3
y = 8x + 12
^ Expanded form
Please help with give branniest!!
(11/44)^ 3 = 11^3/14^3 = 1331/2744 = 0.48505
Round the answer as needed.
