Answer:
Lucy did 37 Push-up
Given:
Lucy 12 More than Jeremy
Jeremy 25
Step-by-step explanation:
If Lucy did 12 more than Jeremy that given you that It "Addition"
so 12+ 25 = 37
Therefore, Lucy did 37 Push-up.
e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.
From the combined standard deviation, with the mean, and standard
deviation of the data sets, the required variance can be found.
[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]Reasons:
The given data information are;
Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0
Standard deviation of the the first set, σ₁ = 4.0
Sample size of second observation, n₂ = 20
Mean of second sample, [tex]\overline x_2[/tex] = 10
Standard deviation of the combined set, σ₁₂ = 3.0
Sample size of combined set of observation, n₂ = 35
Solution:
The number of elements in the second sample, n₁ = 35 - 20 = 15
The standard deviation of the combined set is given by the formula;
[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]
Where;
[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]
Therefore;
[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]
d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]
[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]
d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]
[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]
Therefore;
[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]
Solving gives;
[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]
[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]
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https://brainly.com/question/16869429
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
A toy store marks down all of its items by 15%. If a package of pokemon cards costs $4.99, what is the new price with the markdown? Round to the nearest cent
Answer:
$4.24
Step-by-step explanation:
100%-15%=85%
85/100x4.99=4.2415
4.2415 rounded off to nearest cent =4.24
Hope this helps! Thanks.
HELP!!!!! Someone answer ASAP PLEASE!!!!
Answer:
thay are independent
Step-by-step explanation:
I only know that they are independent but Don't really know how to explain and do step by step.
Answer:
a, =to 13 and B, is to 45 and C,13 D, 14 of tells
solve pls brainliest
Answer: A= 304 feet B=1460
Step-by-step explanation:
−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible
Answer:
Hello, the simplified expression would be:
7x + 6
Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.
How many inches does the hairdresser cut?
Answer:
hairdresser cuts 8 inches
Step-by-step explanation:
32 ÷4 =8
What is the median of this data set 15, 33,51,51,75
Answer:
51
Step-by-step explanation:
1. The median of a data set is the middle number within the data points.
2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.
Evaluate the following. Enter the answer as a simplified fraction.
sin(-11pi/6)cos(4pi/3)
Answer: -25/100 or -1/4
Sorry if its wrong, Happy To Help
Step-by-step explanation:
Solve the equation for X x - 5 = 12
Answer:
X= 17
Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)
Answer: x=17
Add 5 on both sides
x-5+5=12+5
x=17
Step-by-step explanation: Hope this helps!
If you are having a tough time with math you can use:
khanacademy,
mathnation,
and many other free sources
The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?
Answer:
∠A = 90°
Step-by-step explanation:
∠A = 3∠B
∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B
∠A + ∠B + ∠C = 180, because there are 180° inside a triangle
Write angle A, B and C in terms of angle B:
3 ∠B + ∠B + 2 ∠B = 180
Simplify:
6 ∠B = 180
∠B = 180 ÷ 6 = 30°
Work out angle A:
∠A = 3∠B = 3 × 30°
∠A = 90°
The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)
Answer:
Step-by-step explanation:
74’F
Answer:
The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
Step-by-step explanation:
To Find:
The range of possible temperatures in the house
Solution:
Given:
Thermostat is set to 70 °
Also actual temperature may by a much of 4°
If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F
If the temperature is 4°F higher, actual temperature = 70°+4° = 74°
Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
If you continue operating the tractor at its current level, how man
fertilize in the next hour?
A. 5.96 acres
B. 11.92 acres
C. 12.92 acres
D. 19.87 acres
Answer:
D. 19.87 acres
Step-by-step explanation:
do not put heart if wrong and put heart if correct
Hi please help me i need it, thanks
Answer:
perimeter: 20.1
area: 22.1
Step-by-step explanation:
Answer:
The formula to find the are of a parallelogram is = base x height
so the base is 3 1/4 x the height is 6. so now it will be
3 1/4 x 6
you now multiply it to get the area.
So the area I am getting for this is 16 1/2 cm2.
It might be wrong but there you go.
Make as brainiest
Which of these provides the best evidence that an environmental change has occurred?
Answer:
after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.
Step-by-step explanation:
Find the two numbers whose sum is54 and whose difference is 4
Answer: I can not see the picture
Step-by-step explanation:
can you show it?
Looking at the two, 7[tex]a^{4} b^{2} c^{2} and14abc^{6}[/tex]
what is the GCF of these
Answer:
[tex]7abc^{2}[/tex]
Step-by-step explanation:
103.468 round this to the nearest liter
Answer:
103
Step-by-step explanation:
So the .4 in the tenths place is less than 5 it is rounded down/stays the same so its 103
Hope this helps!!
Have a nice day! :D
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
The first choice
Step-by-step explanation:
h=-3
hope it helps
[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]
Answer:Option d. 3
xy? - 2x+y when x = 2 and y=-3
What is the answer
Answer:
Step-by-step explanation:
-2x+y
-2x2+-3
-4+-3
7
2. Kirk is reading a science fiction novel. After his first 20 minutes of reading, he sees that he's read 32 pages of
the book. If the book is 375 pages long, which of the following is closest to the total time it will take him to
finish the book?
The total time that should be taken by him to finish the book is 3.9 hours.
Given that,
There are 20 minutes of reading for 32 pages of the book.Now there are 375 pages.Based on the above information, the time taken should be
[tex]= 375 \times 20 \div 32[/tex]
= 234.375 minutes
Now in hours it should be
[tex]= 234.375 \div 60[/tex]
= 3.9 hours
Therefore we can conclude that the total time that should be taken by him to finish the book is 3.9 hours.
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If a square has a perimeter of 36cm how long is each side of the square
Answer:
9 cm
Step-by-step explanation:
→ Remember how many sides a square has
4
→ Divide it by the perimeter
36 ÷ 4 = 9
Step-by-step explanation:
you know what a square is ?
it is a closed shape with 4 sides.
all 4 sides are equally long.
all 4 inner angle are 90 degrees.
you know what a perimeter is ?
it is the circumference, the whole way one time around the shape, around the outline of a given structure.
if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.
don't wait. don't be afraid or ashamed.
because this here is an extremely simple problem to solve, once you understand the words used.
so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.
36 = 4×side
side = 36/4 = 9cm
so, each side of the square is 9cm long.
What is the equation of this line? A) y=-2x B)y=-1/2x C)y=2x D)y=1/2x
Answer:
y = -1/2 x
Step-by-step explanation:
Option B is the correct answer.
I'm not sure how I can find my answer, any help?
Answer:
The next number would be 3
Step-by-step explanation:
As you can see its a repeating pattern of "1739"
Answer:
3
Step-by-step explanation:
1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...
The larger trapezoid is dilated form the
smaller trapezoid
Answer:
are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.
a) The simplest form of 20
100
is _____________.
b) The mixed fraction of 80
9
is _____________.
c) When we convert 13 5
7
to an improper fraction, we get __________.
d) In a basket of 27 mangoes, 6 are rotten. This statement can be written as a fraction
as (give the answer in the simplest form) ___________.
what equation is perpendicular to the equation 4y=x-36
Answer:
y=6 and x=9
Step-by-step explanation:
Ur dad left you IMAO go look for your dad
Help me guys here
NonSense Answer=Report
Sorry I ain’t know why it look like that buh can someone help asap
Answer:
[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]
HELP LAST ATTEMPT ??!!
Answer:
x=26
Step-by-step explanation:
x+11+2x+1+90=180 [Angles in a straight line]
3x=180-102
x=78/3
x=26
or,
x+11+2x+1=90 [Complementary angles]
3x=90-12
x=78/3
x=26