Answer:
30
Step-by-step explanation:
21*10=210
210/7=30
x=30
Answer:
30..
Explanation
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2000). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 18 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.
Answer:
The sample mean is of 1925 calories.
The margin of error is of 75 calories.
The sample standard deviation is of 109.7992 calories.
Step-by-step explanation:
Sample mean:
The sample mean is the mean value of the two bounds of the confidence interval. So
[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]
The sample mean is of 1925 calories.
The margin of error
Difference between the bounds and the sample mean. So
2000 - 1925 = 1925 - 1850 = 75 calories.
The margin of error is of 75 calories.
Sample standard deviation:
Here, I am going to expand on the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Since [tex]M = 75, T = 2.898, n = 18[/tex]
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]
[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]
[tex]s = 109.7992[/tex]
The sample standard deviation is of 109.7992 calories.
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.
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]
. 16 is 20% of what number? Show your work and/or explain your reasoning.
Answer:
0.8
Step-by-step explanation:
.16/.2 = 0.8
check
0.8 x .2 = 0.16
can you help me on a papper
Answer:what do you need help with
Step-by-step explanation:
Please please help help
Answer:
17 players
Step-by-step explanation:
6 people scored 2
8 people scored 3
3 people scored 4
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1300 and her stock in Company B was worth $4820. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased 25%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
24.4%
Step-by-step explanation:
There are blue, red and yellow counters in a bag in the ratio 3:2:1. There are 6 more blue counters than red counters. How many counters are there in total?
Answer:
12
Step-by-step explanation:
im pretty sure its 12 if not im sorry
pls answer i have a ton of homework
Answer:
ewqvrdvfgbt2nbvcx
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
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
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.
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
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
I will mark someone brainliest!
Answer:
2nd option is the correct answer
Step-by-step explanation:
Oscillating powerful magnets within wire coils.
Answer:
Step-by-step explanation:
I think it's got to be coal because the power plants always have like smoke and d is the only one that burns something
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
LAST QUESTION I NEED! Should be easy (I don’t think the answer is 4 might be wrong if given an explanation)
Answer:
2
Step-by-step explanation:
because 2 square is 4 then that was needed for the other squares but this one is doubled
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 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
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.
A roll of quarters has a value of
$10. The expression
10 represents the amount of money in a number of rolls of quarters. What does the variable
represent?
Answer:
110
Step-by-step explanation:
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
can somebody help me?
Answer:
15x + 7
Step-by-step explanation:
i set this up
8x + 16 + 7x -9
the next step is to combine like terms
8x + 7x = 15x
16 - 9 = 7
15x = 7
15x + 7
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.
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
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
Help plz....................
Answer:
x = 136°
y = 44°
Step-by-step explanation:
x + 44° = 180° (Adjacent angles of a parallelogram)
x = 180° - 44°
x = 136°
y = 44° (Opposite angles of a parallelogram)
At an Auto Repair shop, 4 of the 16 cars received oil changes. What percent of the cars received oil changes?
Answer:
its 25 percent
Step-by-step explanation:
want an explanation cuz im happy to give you 1
Tina's bakery, sells cinnamon, banana, apple and blueberry muffins. Each day the bakery bakes 63 apple muffins, the apple muffins represent 42℅ of all the muffins baked each day, how many muffins are baked each day.
Ok. So if 42 % is apple, then 63 = 42%.
You can divide it by 42 to get 1%
63 / 42 = 1.5
Than times by 100 to get 100%
100% = 150.
150 Muffins per day
Can someone help me do this I forgot how to do it.
Answer: 112
that is the answer
Lainey brought a set of 22 markers for $6. What is the cost of 1 marker? Round answers to the nearest hundredths where necessary.