Data for the question :
102.05 99.85 112.3 97.15 111.23 105.37 105.64 106.5 102.97 107.82 106.36 111.24 107.28 114.14 106.28 106.96 98.25 111.55 107.75 101.02 101.12 97.7 97.66 100.54 115.77 112.91 111.04 112.15 102.87 101.14 107.13 108.56 109.56 103.57 108.68 104.59 116.74 116.22 100.22 103.97 111.2 109.34 115.78 101.59 107.93 104.23 96.25 103.84 102.47 102.96 99.26 101.42 108.58 107.69 99.88 102.71 111.25 99.4 117.04 106.35 110.44 102.34 107.25 107.63 105.2 109.14 115.54 101.51 108.49 112.32 109.27 97.54 102.46 105.94 109.42 111.05 102.63 106.99 102.03 108.84 118.8 108.64 95.35 105.47 104.45 102.15 111.4 108.27 104.82 108.4 109.05 116.11 103.7 121.2 99.62 102.81 109.56 103.35 113.02 103.79
Answer:
Range = 25.35
Variance = 29.46
Standard deviation = 5.43
The variation in price of Prozac is high
Step-by-step explanation:
The range of the data :
Maximum - Minimum.
121.2 - 95.35 = 25.35
The variance, s :
s² = Σ(X - m²) / n - 1
Mean, m = Σx / n
X = individual data point
m = mean of data
n = sample size
Using a calculator of save time and ensure accuracy :
s² = 29.45522
The standard deviation, s
s = sqrt(variance)
s = sqrt(s²)
s = sqrt(29.45522)
s = 5.42726.
The range, variance and standard deviation, all measure the degree of variation in a dataset. The values of these statistical measure obtain for the price of 1 product across different pharmaceutical stores, suggests thatvthe variation in price is high;
With a range of about 25.35 and standard deviation of 5.43
Please I need help it’s an emergency
Answer:
i think its b
Step-by-step explanation:
i might be wrong but i think its
[tex]4 \sqrt{3 } [/tex]
Justin cuts 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?
Answer:
1.67 inches
Step-by-step explanation:
HOPE IT HELPS YOUU
What is an equation of the line that passes through the point
(−1,−3) and is parallel to the line 4x-y=2?
Answer: y = 4x + 11
Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.
4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :
y = 4x - 2
In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.
y = 4x - a (generic)
ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.
We find this by putting our point value into the equation:
3 = 4(-2) + a ; 3 = -8 + a ; a = 11
Thus, our “parallel line equation” through the point (-2,3) is:
y = 4x + 11
Please please help help
Answer:
17 players
Step-by-step explanation:
6 people scored 2
8 people scored 3
3 people scored 4
help math !!! .............
Answer:
7cm.Hope this will help you.
Explanation is given in the above photo.
Attempt if smart please help
How many ways are there to form a 4-digit odd number using the digits
3, 4, 5 and 8 without repeating the digits in each number?
Answer:
12
Step-by-step explanation:
There are 2 ways to choose the last digit (3 or 5), because the number has to be odd.
We're left with 3 digits that we need to arange anyhow. First digit we can choose any of the 3, then any of the 2 left. At the end, there's only one digit to choose.
Answer is 2 * 3 * 2 = 12
a machine produces 440 bolts in 48 minutes. At the same rate, how many bolts would be produced in 30 minutes
Answer:
it is your answer..... if it is helpful plzz like and comment
If I have six eggs I crack two I cooked two and I eat two how many eggs do I have left
Answer:
4
Step-by-step explanation:
you cracked, cooked, and ate the same two eggs
A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to package it. It takes the manufacturer 25 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 3000 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?
Answer:
[tex]\$1320[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number of units of A
[tex]y[/tex] be the number of units of B
For assembling we have
[tex]20x+25y\leq 3000[/tex]
For packaging we have
[tex]10x+5y\leq 1200[/tex]
Let profits earned be [tex]Z[/tex] so
[tex]Z=10x+8y[/tex]
We have the maximize the function.
Plotting the equations we can see that the intersection points are [tex](0,120),(100,40),(120,0)[/tex]
In the question it is mentioned we have to sell both the products so [tex]x[/tex] or [tex]y[/tex] cannot be [tex]0[/tex].
So, the point of maximiztion for the function would be [tex](100,40)[/tex]
The maximum profit would be
[tex]Z=10\times 100+8\times 40\\\Rightarrow Z=1320[/tex]
Jorge has $150 in his savings account. He earns $33 a week mowing lawns. If Jorge saves all of his earnings, after how many weeks will he have$437 saved?
Answer:
9 weeks
Step-by-step explanation:
used a calculator really easy
please help me please help me please help
Answer:
a) September; b)October
Step-by-step explanation:
Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.
g In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month
Answer:
Option E, two-proportion z test should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month
Step-by-step explanation:
The complete question is
In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past
month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that
they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient
evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same
as the proportion of shoppers in a large downtown shopping area who had been to a movie in the past month?
A one-proportion z interval B two-proportion z interval
B two-proportion z interval
C two-sample t test D one-proportion z test
D one-proportion z test
E two-proportion z test
Solution
Two proportion z test is used to compare two proportions. In this test the null hypothesis is that the two proportions are equal and the alternate hypothesis is that the proportions are not the same. The random sample of populations serve as two proportions.
Hence, option E is the best choice of answer
A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter
3x = 20
What are the angle measures
Answer:
equation: 3x - 20 = 0
Step-by-step explanation:
3x = 20
add its opposite to both sides.
3x - 20 = 20 - 20
= 3x - 20 = 0
Ive been staring at this for a long time now, pls help
Answer:
9
Step-by-step explanation:
I replaced the missing variable with x and solved the equation from there.
Answer:
10.75
Step-by-step explanation:
i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5
PHEWW
Harry is a builder.
He has to buy stones to cover part of a garden.
The part of the garden is triangular as shown in the
diagram
Harry knows that
5 bags of stones will cover an area of 4 m2
• a bag of stones costs £7.99
Work out the total cost of the bags of stones
Harry needs to buy
(5)
Write your answer in the box below.
£
£| I
SI
TH
Answer:
£39.95
Step-by-step explanation:
multiply it by £7.99×5
If Elijah works between 240 and 249 hours during the summer, how much money will he earn? Write and solve two equations: one for the most amount and one for the least amount of money he could have earned.
Which is an equation of the line that passes through the points (-1,9) and (4, 24)?
y = 3x + 12
D
B
y= kx + 12
y= 1x – 4
С
D
y = 3.2 – 4
Answer:
y = 3x + 12
Step-by-step explanation:
Slope (m) = 24-9/4-(-1)
= 25/5
= 3
Using point (-1 , 9)
y - y1 = m (x - x1)
y - 9 = 3 (x - -1)
y - 9 = 3 (x + 1)
y - 9 = 3x + 3
y = 3x + 3 + 9
y = 3x + 12
Select all the expressions that are equivalent to 10x + 4 - (6x - 1)
Answer:
4x + 5
Step-by-step explanation:
10x + 4 - 6x + 1
= 4x + 5
Plz help me I need help I can not
Figure this out
Answer:
Step-by-step explanation:
Area of two parallelograms = 3⅐ = 22/7
Area of one parallelogram = 11/7
Height = 1 2/7 = 9/7
base of one parallelogram = (11/7)/(9/7) = 11/9 yards
Answer:
b = 11/9 = 1 2/9
Step-by-step explanation:
A=bh
1.2(3 1/7)=b(1 2/7)
(1/2(22/7))/9/7=b
(11/7)/9/7=b
11/7x7/9=b
11/9=b
b= 1 2/9
Please I need help it’s an emergency
Answer:
h = 79 m
Step-by-step explanation:
The length of the string, H = 125 m
The kite forms 39° angle.
We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.
[tex]\sin\theta=\dfrac{P}{H}[/tex]
Where
P is perpendicular and H is Hypotenuse
So,
[tex]\sin\theta=\dfrac{h}{H}\\\\h=H\times \sin\theta\\\\h=125\times \sin(39)\\\\h=78.66\ m[/tex]
or
h = 79 m
So, the kite is flying at a height of 79 m.
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it
Answer:
0.36 = 36% probability that the land has oil and the test predicts it
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
45% chance that the land has oil.
This means that [tex]P(A) = 0.45[/tex]
He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.
This means that [tex]P(B|A) = 0.8[/tex]
What is the probability that the land has oil and the test predicts it?
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36[/tex]
0.36 = 36% probability that the land has oil and the test predicts it
Answer:
The probability that the land has oil and the test predicts it is 36%
Step-by-step explanation:
So option C. 0.36 is correct for plato users
The volume of a rubber ball is 5,461 cm3. What is the radius of the ball?
Answer:
~10.92 cm
Step-by-step explanation:
V = 4/3πr^3
5,461 = 4/3πr^3
4095.75 = πr^3
1303.72 = r^3 ≈ 10.92
Has a margin of error based on my rounding to the hundreths.
can you help me on a papper
Answer:what do you need help with
Step-by-step explanation:
Can someone help me do this I forgot how to do it.
Answer: 112
that is the answer
PLZ HELP!!! WILL MAKE BRAINLIEST!!!!
Answer:
205in. squared
Step-by-step explanation:
Two of the faces of the rectangular prism have a surface area of 37.5 and the other 4 have a surface area of 32.5. Adding them all together they have a surface area of 205.
Answer:
formula is S = 2(lw + lh + wh)
then you just plug in the numbers
2(7.5 x 5 + 7.5 x 6.5 + 5 x 6.5)
and solve
=237.5 in
PLEASE HELP
Mrs Joseph had 4/5 kg of butter. She used 1/8 kg if he butter to bake a cake. What was the greatest number of such caked she could bake?
Answer:
6
Step-by-step explanation:
4/5=80%
1/8=12.5%
80÷12.5=6.4
Answer this correctly I’ll give brainalist + 10 points
Answer:
x = 43
Step-by-step explanation:
Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)
x + x + 4 = 90
2x + 4 = 90 | Combine x's
2x = 86 | Subtract 4 from both sides
x = 43 | Divide both sides by 2
Question Progress
Homework Progress
7/21 Marks
a) Work out (8 * 109) * (2 10)
Give your answer in standard form.
b) Work out (6 * 102) = (3 x 10-6)
Give your answer in standard form.
Which is larger ? A : 13 + 1.05g B : 12 + 1.50g