Answer:
1) a30=96
2) 30(-20+96)/2
3) 1140
Step-by-step explanation:
I just did on Edg 2020
The solution is, the 30th term of the sequence a_30 = 96.
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
the given sequence is,
-20,-16, -12,-8,-4, ...
so, here, we have,
a = -20
d = 4
so, the 30th term of the sequence is,
a_30 = a + (30-1) d
= -20 + 29*4
= 96
Hence, The solution is, the 30th term of the sequence a_30 = 96.
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The list below shows the number of push-ups students could complete in 1 minute. 14, 19, 20, 12, 14 Find the mean and median number of push-ups completed. Please write the answer in this format: mean= ___ median= ____
Answer:
Mean= 15.8, Median= 14.
Step-by-step explanation:
To find the mean, we need to find the average. We will simply need to add up all of the values and divide by how many there are.
Therefore:
[tex]\frac{14 + 19 + 20 + 12 + 14}{5}[/tex]= 15.8 = Mean.
To find the median, you can arrange the numbers in increasing order and find the middle value. You can do this like so:
12, 14, 14, 19, 20
The number in the middle of 14.
What is important to keep in mind when selecting a sample?
a. The sample should be chosen based on specific criteria, such as the youngest students in the class.
b. The sample should be chosen at random so that it is fair.
c. The sample should consist of every person in the population being studied.
d. The sample size should always be exactly one person or piece of data.
Answer: b. The sample should be chosen at random so that it is fair.
Step-by-step explanation:
One of the most important things when selecting a sample is that the sample must be totally random if the sample is not random (for example, selecting only the youngest people in a group or things like that) there is a high probability that the sample will be biassed towards something, so the study may not be really accurate for all the population.
The correct option is b. The sample should be chosen at random so that it is fair.
The triangle shown below has an area of 24 units^2 squared. Find the missing side.
Answer:
x = 6
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
24 = 1/2 (8)x
24 = 4x
Divide each side by 4
24/4 = 4x/4
6 =x
What is x - 9.9 = 2.1 what is x
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x - 9.9 = 2.1
+ 9.9 to both sides
x = 12
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Answer:
X = 12
Step-by-step explanation:
X - 9.9 = 2.1
Add 9.9 to both sides
X - 9.9 + 9.9 = 2.1 + 9.9
Simplify
X = 12
Dreg earns $6.80 per hour. On Saturday he worked from 9:00 A.M.
to 3:30 P.M. How much did he earn?
Answer:
$44.20
Step-by-step explanation:
First, calculate how many hours he worked. From 9:00am-3:30pm he worked 6.5 hours. We're going to multiply the hourly rate, $6.80 by how many hours he worked. Since he also worked an extra half hour and not a full hour we're going to divide $6.80 by 2. Then add both of the calculations up to get the asnwer.
6.8(6)=40.8
6.80/2=3.4
40.8+3.4=44.2
He earned $44.20.
what is 5x^2 + 8x -4
Answer:
if your factoring the answer should be (5x-2) (x+2)
Answer:
(5x−2)(x+2)
Step-by-step explanation:
If a dress costs $27.00 when it is on sale for 10% off, what is its original cost?
Write an expression with two terms. One term should have a coefficient with a variable and the other term should be a constant. Name the coefficient, the variable,and the constant in the expression. Then write a word phase for your expression.
Answer:
See Explanation
Step-by-step explanation:
Let us briefly explain the terms
Variable: This is the letter in the expressionCoefficient: This is the number beside the letter aboveConstant: This is a number without any variable attached.Let us take our expression with two terms to be: 3x+5
Coefficient =3
Variable =x
Constant =5
The word phrase of the expression is:
5 added to the product of 3 and a number.
Ali made $126 for 9 hours of work. At the same rate, how many hours would he have to work to make $168 ?
Answer:
12 hours
Step-by-step explanation:
First to solve this problem, let's look at what we are dealing with here. It says that Ali made $126 for 9 hours of work.
Let's set that up into a fraction so it's easier to look at.
money/time = 126/9
Now that we have that set up let's look at our other piece of information.
It asks for how many hours would Ali have to work in order to make $168 so let's figure that out.
In order to find out the number of hours, let's first find our unit rate which can be simply found by dividing our given money/time.
126/9 = 14.
This means that for every 1 hour, there will be 14 dollars earned.
Now that we know that, let's look for how many hours it take to earn $168.
In order to do that simply see how many times 14 goes into 168 (division) and that way you can see how many hours it will take to earn $168.
168/14 = 12 hours.
A marble is selected at random from a jar containing 4 red marbles, 5 yellow
marbles,and 3 green marbles. What is the probability that the marble is red?
Answer:
The answer is 1/3
Step-by-step explanation: 4/12 simplified is 1/3 since you can divide both top and bottom by 4
The probability that the marble chosen at random from the bag is red is 1/3.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the marble is red = total number of red marbles / total number of marbles
4 / 12 = 1/3
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What will the height of the liquid be in the new cylinder?
Answer:
4 cm
Step-by-step explanation:
[tex]36\pi=\pi \cdot 3^2 \cdot h\\h=4[/tex] centimeters
Hope this helps!
Solve the systems below:
1. x + 7y = 0
2x - 8y = 22
2. x-y=3
7x - y=-3
3.-9 + 5y = -4x
-11x = -20+9y
4. y = 4x - 9
y=x-3
Tell which method you used to solve each system and why you chose
that method
Answer:
Check my explanation
Step-by-step explanation:
1. x=-7y
2(-7y)-8y=22
-14y-8y=22
-22y=22
y=-1;x=7, I used subtitution because that process was easier.
2. x=3+y
7(3+y)-y=-3
21+7y-y=-3
21+6y=-3
6y=-24
y=-4; x=-1, I used subtitution because that process was easier.
3. x=1 and y=1, I used elimination because that process was easier.
4. x-3=4x-9
-3x=-6
x=3; y=0, I used subsitution because that process was easier.
This is a clear image of my question the question is
Below is a tree diagram for an event with three possible outcomes. A, B and c. This event occurs twice.
What is the probability of outcome B occurring at least once?
Answer:
1/2
Step-by-step explanation:
Total of B is: 4/2
Total of everything is: 8/4 + 4/2 = 8/4 + 8/4 = 16/4
Decimal number of B is: 2
Decimal number of everything is: 4
Answer: 2/4 or 1/2
An almond butter jar label says that it has 30% more almond butter for the same price. Brett knows that the jar is usually 10 ounces, and he wants to find out how much more almond butter is in the larger jar.
Answer:3
Step-by-step explanation: .03 X 10
Bridget, Jim and Krutika share some sweets in the ratio 5:2:4. Bridget gets 40 sweets. How many did Krutika get?
Answer:
Krutika gets 32 sweets
Step-by-step explanation:
Let the number of sweets be x
Bridget= 5x sweets
Jim= 2x sweets
Krutika= 4x sweets
5x= 40; x= 40/5; x=8
Krutika gets 4x= 4×8
Krutika gets 32 sweets
A student club has 15 members. How many ways can a committee of 6 members be chosen?
A. 504
B. 720
C. 5,005
D. 3,603,600
Answer:
C. 5005Step-by-step explanation:
This is a combination of 6 out of 15
6C15 = 15!/6!9! = 10*11*12*13*14*15/2*3*4*5*6 = 5005Correct choice is C
Answer:
C right?
Step-by-step explanation:
the product of the first ten prime numbers must be divisible by...
E. 16
F. 18
G. 20
H. 22
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Answer:
ueueueeuhrrhjdhffjjdjffj
Solve the equation.
5x + 8 - 3x = -10
x = -9
x = -1
оооо
X = 1
O x= 9
Answer:
x = -9
Step-by-step explanation:
5x + 8 - 3x = -10
Combine like terms
2x +8 = -10
Subtract 8 from each side
2x+8-8 = -10-8
2x = -18
Divide each side by 2
2x/2 = -18/2
x = -9
A circular table top has a radius of 60cm. A force of 650N is applied to the whole table top. Calculate the pressure in N/m to 4sf
Answer:
i hope its understood....
2 + 7c – 4c2 – 3c + 4
Answer:-4c^2+4c+6
Step-by-step explanation:
Hope that’s what ur looking for:)
Answer:
2 + 7c – 4c2 – 3c + 4
4c∧2 + 4c + 6
Step-by-step explanation:
Training field is formed by joining a rectangle and 2 semicircles rectangle is 93 m long and 61 m wide what is the length of a training track running around the field use pi and don't round answer
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The length of a training track running around the field is [tex]Z = 377.54 \ m[/tex]
Step-by-step explanation:
From the question we are told that
The length of the field is [tex]L= 93 \ m[/tex]
The width of the field is [tex]W = 61 \ m[/tex]
The length of the two semicircle is mathematically evaluated as
[tex]A = 2 * \pi * \frac{W}{2}[/tex]
substituting values
[tex]A = 2 *3.142 * \frac{61}{2}[/tex]
[tex]A = 191.54 \ m[/tex]
Now the length of a training track running around the field is
[tex]Z = A + 2 L[/tex]
substituting values
[tex]Z = 191.54 + 2 (93)[/tex]
[tex]Z = 377.54 \ m[/tex]
12a − 3(7 + 5a)
help pls
Answer:
-3a-21
Step-by-step explanation:
Answer:
27a-21
Step-by-step explanation:
12a-3(7+5a)
distribute the 3
3x7=21
3x5a=15a
12a-21+15a
12a+15a=27a
27a-21
Nar donated to 4 charities last year. She gave £175 to each of these charities. This year Rana wants to donate the same total amount between 6 charities. Each charity will receive an equal amount How much will each charity receive this year?
Answer:
£116.67
Step-by-step explanation:
Given;
Nar donated to 4 charities last year. She gave £175 to each of these charities.
The total amount Nar donated is;
Nar = 4 × £175 = £700
For Rana to donate the same amount equally among 6 charity, to determine the amount each charity would receive this year, we need to divide the total amount by the number of charities;
A = £700/6
A = £116.67
Card 1 has a current balance of $8,312.69 with an APR of 24.16%, and the credit limit on the card is $10,000.
Card 2 has a current balance of $1,180.34 with an APR of 21.15%, and the credit limit on the card is $7,500.
In your own words, tell which credit card you should focus on paying off first and why?
Be sure to include the credit card AND the reason for paying that card off first.
Answer:
The focus should be on paying off Card 1 first
Step-by-step explanation:
The credit limit for card 1 is $10,000,invariably the cardholder only $ 1,687.31
($10,000-$8,312.69) to reach its limit,hence available balance to draw from and also the annual percentage rate is higher for card card 1.
For every balance in card 1, the cardholder pays 24.16% APR annually compared to 21.15% applicable to card,as a result,card is cheaper.
Besides,the cardholder still has an available credit of $ 6,319.66
($7,500-$1,180.34) on card 2 which comes at a lower APR
*WILL GIVE BRAINLIEST*
annabelle collected data on the favorite superhero of the students in her class. the table shows the relative frequencies of rows for the data collected:
*picture attached above*
based on the data, which superhero is most likely to be the favorite?
a.) superman
b.) spiderman
c.) batman
d.) wonder woman
Answer:
B - Spider-Man
Step-by-step explanation:
Grace has $81 in her bank account and deposits $68 per month into her account. Jasmine has $53 and deposits $75 per month into her account. Enter the number of months it will take for both Grace and Jasmine to have the same amount of money in their accounts.
Answer:
4 months
Step-by-step explanation:
Let the number of months that they deposit into their accounts be m.
Grace has $81 in her bank account and deposits $68 per month into her account. This means that after m months, she will have:
81 + 68m
Jasmine has $53 and deposits $75 per month into her account. This means that after m months, she will have:
53 + 75m
To find the number of months it will take for them to have the same amount, we equate the amount that they each have:
81 + 68m = 53 + 75m
Collect like terms and simplify:
81 - 53 = 75m - 68m
28 = 7m
=> m = 28 / 7 = 4
It will take 4 months for them to have the same amount.
Brainliest question please help please help me now plz
Answer:
Option A) Inside the circle
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The radius is equal to the distance from the center to any point on the circle
the formula to calculate the distance between two points is equal to
[tex]d\sqrt{(y2-y1)^2+(x2-x1)^2 }[/tex]
we have
A(-5,-8),M(-1,-3)
substitute the values
[tex]r=\sqrt{(-3+8)^{2}+(-1+5)^{2}}[/tex]
[tex]r=\sqrt{(5)^{2}+(4)^{2}}[/tex]
[tex]r=\sqrt{41}\ units[/tex]
step 2
Find the distance from the center to point V
we know that
If the distance from the center to point V is equal to the radius, then the point V lie on the circle
If the distance from the center to point V is less than the radius, then the point V lie inside the circle
If the distance from the center to point V is greater than the radius, then the point V lie outside the circle
we have
A(-5,-8),V(-11,-6)
substitute in the formula
[tex]d=\sqrt{(-6+8)^{2}+(-11+5)^{2}}[/tex]
[tex]d=\sqrt{(2)^{2}+(-6)^{2}}[/tex]
[tex]d=\sqrt{40}\ units[/tex]
so
[tex]\sqrt{40}\ units< \sqrt{41}\ units[/tex]
The distance from the center to point V is less than the radius
therefore
The point V lie inside the circle
Hope that helped :)
help me with this !!
Multiply the probability of getting a correct answer (0.25) with the number of questions (68) to get 0.25*68 = 17
The student should expect to get about 17 questions correct.
Helen gathered 37 mushrooms in three hours. How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour?
Helen gathered
mushrooms in the first hour,
mushrooms in the second hour and
mushrooms in the third hour.
Answer:
On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.
Step-by-step explanation:
Helen gathred a total of 37 mushroons in three hours. On the first hour she gathered "x" mushroons, on the second hour she gathered "x + 7" mushroons and on the third hour she gathered "x + 6". Therefore the sum of mushrrons she gathered on each hour should be equal to the total she gathered as shown below:
37 = x + (x+ 7) + (x + 6)
37 = 3*x + 13
3*x + 13 = 37
3*x = 37 - 13
3*x = 24
x = 24 / 3
x = 8
On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.
Answer:
Helen gathered
8 mushrooms in the first hour,
15 mushrooms in the second hour and
14 mushrooms in the third hour.
Step-by-step explanation: