Answer:
2
Step-by-step explanation:
To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.
Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.
130 + 2 = 132, meaning the answer is 2.
You're welcome!
The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2
Formula for mean is;
Mean = Sum of numbers/sample size
We are given;
Mean = 13
Sample size = 10
Thus, sum of numbers = 13 × 10 = 130
Now, we want to add an eleventh number so that the mean will be 12.
Thus, n = 11
12 = (130 + x)/11
Cross multiply to get;
12 * 11 = 130 + x
x = 132 - 130
x = 2
Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2
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Jacqueline is buying a pair of pants for $30. They are on sale for 15% off, and she has a coupon for 10% off the sale price. How much does she pay for her pants?
Answer:
$22.50
Step-by-step explanation:
Brainliest for correct answer
Answer:
I think 1
Step-by-step explanation:
If I'm wrong I'm sorry I haven't done this since middle school
Help!
This is the problem
1+10k+1-7k
Answer:
3002
Step-by-step explanation:
Very simple, just add them up.
which sequence of transformations map triangle RST to triangle LMN? D0.5
Answer:
yeah my boy i think your right
Step-by-step explanation:
Hi pls help ASAP no links or you will be reported and terminated. Pls and Thx.
Answer:
Area = [tex]x^{2} +2x+2[/tex]
Perimeter = [tex]4x+1[/tex]
Step-by-step explanation:
So the shape is made up of one [tex]x^{2}[/tex], two xs and two 1s
add that together you get [tex]x^{2} +2x+2[/tex]
Starting at the top left you have a side length of 1. Then it goes down 1 before an x. Then you have up 1 and over 1, which is 2. Going down the right side you have a 1 and an x. Then the bottom is 1, x, and 1. You go up another x and then 1 to meet back where you started.
In total that is [tex]4x+1[/tex]
please please help me find the volume and surface area i’ll give brainliest
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
Given the following information about two triangles, triangle CAT and triangle DOG:
Which postulate can be used to prove triangle CAT and triangle DOG are congruent?
SSS Postulate
SAS Postulate
SSA Postulate
ASA Postulate
AAS Postulate
Choose all that apply
Answer:
1st and 3rd im pretty sure
Step-by-step explanation:
Answer:
1 and 3
Step-by-step explanation:
Find the Mean Absolute Deviation: (MAD)
10, 9, 3, 8, 10.
Answer: Hey there !! The answer is 2.
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
The absolute mean deviation is 2.
What is mean absolute deviation?The mean absolute deviation of a dataset is the average distance between each data point and the mean.
We have,
10, 9, 3, 8, 10
We first find the mean of 10, 9, 3, 8, 10
Mean = (10 + 9 + 3 + 8 + 10) / 5
Mean = 40 /5 = 8
Data sets
10 | 10 - 8 | 2
9 | 9 - 8 | 1
3 | 3 - 8 | 5
8 | 8 - 8 | 0
10 | 10 - 8 | 2
Mean absolute deviation
= (2 + 1 + 5 + 0 + 2) / 5
= 10 / 5
= 2
Thus the absolute mean deviation is 2.
Learn more about absolute mean deviation here:
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Sam can type 20 words in 35 secorcs. How many words can he type in 90 seconds?
Answer:
51 words
Step-by-step explanation:
20words=35 seconds
? =90 seconds
Cross multiplication to get
(90×20)/35
1800/35
51.42
Meaning he can type 51 words in 90 seconds
Answer:
he can type about 51 words in 90 seconds because
use proportion
7x = 360
x = 51 3/7
x is about 51
Step-by-step explanation:
Della needs fabric that is 12.4 yards long. If the store sells fabric in meters, how much fabric will she need?
The annual profits for a company are given in the following table, where x represents
the number of years since 2013, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, find the projected profit
(in thousands of dollars) for 2023, rounded to the nearest thousand dollars.
Years since 2013 (x)
Profits (y)
(in thousands of dollars)
0
57
76
2
63
3
107
what is the measure of
.
Find the area of a circle with radius, r = 41cm. Give your answer rounded to 3 SF.
i dont know how to work this out :(
Answer:
5283.143 cm^2
Step-by-step explanation:
Area =πr^2
22/7*41*41
=5283.143cm^2
Find the value of x in the diagram
Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21
Tom has 2 1/2 times as many cards as Harry. Together they have 98 cards. How many cards do they each have?
Answer:
Tom has 70 cards, and Harry has 28 cards.
Step-by-step explanation:
Let h = number of cards Harry has.
Then the number of cards Tom has is 2 1/2 * h = 2.5h.
Together they have 2.5h + h = 3.5h number of cards.
Together they have 98 cards.
3.5h = 98
h = 98/3.5
h = 28
Harry has 28 cards.
Tom has 2.5h = 2.5 * 28 = 70
Answer: Tom has 70 cards, and Harry has 28 cards.
Please please please help I will mark you brainiest
Answer: b then!
Step-by-step explanation:
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 49 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased
Answer:
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound
This means that [tex]\mu = 1, \sigma = 0.2[/tex]
Sample of 49:
This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]
What is the probability that the amount dispensed per box will have to be increased?
This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]
[tex]Z = -2.19[/tex]
[tex]Z = -2.19[/tex] has a pvalue of 0.0143
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
maths
[tex] \sqrt[3]{1 + x} + \sqrt[3]{1 - x} = \sqrt[3]{2} [/tex]
Answer:
X=0,1
Step-by-step explanation:
Remove the radical by raising each side to the index of the radical
Someone please helppppp
Answer:
the correct answer is b) 4
What is the equation of the following line? Be sure to scroll down first to see all answer options. (2,10) (0,0)
Answer: y=5x
Step-by-step explanation: Slope= 10/2=5 Plugged it in equation y=mx+b and solved for b to get b=0
What is the median of 8,9,10,1,6,4,7,6
Answer:
The median is 6.5
Step-by-step explanation:
To find the median, first organize the numbers from least to greatest:
1, 4, 6, 6, 7, 8, 9, 10
The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.
To solve for this, we have to find the average of the numbers.
Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).
(6 + 7)/2
13/2
6.5
The hypotenuse of a 30°-60°-90° triangle is 6.
A. Find the lengths of the two legs of the triangle.
B. Find the perimeter.
Answer:
H=6 sin 30=3cm
Step-by-step explanation:
3²+x²=6²
X²=36-9
√x²= 27
X=5.1962
Per=6+5.1962+3= 15.1962cm
Help plssss!!!!!! I really need help
The answer for the following question is option A.
Find the mean, median, mode, and the range. The picture is for number 12 to 15
1. 6, 9, 2, 4, 3, 6, 5
2. 453, 345, 543, 345, 534
3. 8, 2, 9, 4, 6, 8, 5
4. 1, 15, 9, 12, 18, 9, 5, 14, 7
5. 3, 9, 4, 3, 9, 4, 2, 3, 8
6. 157, 124, 157, 124, 157, 139
Use the picture above to answer the exercise 12 to 15
12. What is the mode?
13. What is the median?
14. What is the mean?
15. If the price of swimming lessons went up to six dollars would it change the
a. Mode?
B. Median?
C mean?
D. Range?
Answer:
1)
mean - 5
median - 5
mode - 6
range - 7
2)
mean - 444
median - 453
mode - 345
range - 198
3)
mean - 6
median - 6
mode - 8
range - 7
4)
mean - 10
median - 9
mode - 9
range - 17
5)
mean - 5
median - 4
mode - 3
range - 7
6)
mean - 143
median - 148
mode - 157
range - 33
12) 9
13) 10
14) 10, 5
15)
If the price of swimming lessons went up to mean and mode would change.
mean - 9.66666667 (9.6 repeating)
median - 10
mode - 10
range - 13
besides 9 and 1 what is one factor of 9
Answer:
3
Step-by-step explanation:
3 times 3 is equal to nine
Have a good day!
Answer:
3
Step-by-step explanation:
This is the answer.:)
The factors of 9 are : 1, 3, 9.
what is 1/4 compared to 25%
Answer:
i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25
Step-by-step explanation:
if it doesn't i'm sorry for waisting ur time-
What is 97,000 in scientific notation?
Is this table proportional?
Answer: y=3x
Step-by-step explanation:
2x3=6
3x3=9
5x5=15
6x3=18
PLEASE ANSWER ASAP! NO SCAM LINKS! OR REPORTED.
Answer:
im pretty sure its A
Step-by-step explanation:
Solve for a.
2
9
х
36
Answer:
a=29×36
Step-by-step explanation:
just do 29×36 to get your answer