Answer:
21 cm
Step-by-step explanation:
The computation of the radius is shown below:
As we know that
The volume of the cone = [tex]\frac{1}{3} \pi r^2h[/tex]
where
Volume of the cone is 16.632 cm^3
height = 36 cm
So, the radius of the cone is
[tex]16.632 cm^3 = \frac{1}{3} \times \frac{22}{7} \times r^2 \times 36\\\\16.632 cm^3 = \frac{22}{7} \times 12 \times r^2\\\\16.632 cm^3 = \frac{264}{7} \times r^2\\\\r = \sqrt{441} \\\\r = 21 cm[/tex]
A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value is T = 1.895.
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
Step-by-step explanation:
We have the standard deviation for the sample, so we use 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 = 8 - 1 = 6
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.895, which is the critical value.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159
The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
The manager of a customer support center takes an SRS of 40 reported issues and finds that 22% of the sampled issues required more than one call to resolve. The manager may take an SRS like this each month. Suppose that it is really an average of 25% of the approximately 1000 issues reported per month that require more than one call.
Let represent the proportion of a sample of 40 reported issues that require more than one call to resolve. What are the mean and standard deviation of the sampling distribution of p?
Answer:
The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.
Step-by-step explanation:
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
25% of the approximately 1000 issues reported per month that require more than one call.
This means that [tex]p = 0.25[/tex]
What are the mean and standard deviation of the sampling distribution of p?
Sample of 40 means that [tex]n = 40[/tex].
By the Central Limit Theorem,
The mean is [tex]\mu = p = 0.25[/tex]
The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.25*0.75}{40}} = 0.0685[/tex]
The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.
A cell phone is 84 mm long and 46 mm wide. What is the ratio of the widty to the length?
Answer:
23/42
Step-by-step explanation:
width/length
46/84
=23/42
23:42
=.5476
The ratio of the width to the length of the cell phone will be 42: 23.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
A cell phone is 84 mm long and 46 mm wide.
Then the ratio of the width to the length will be calculated by the division of the number 84 by 46. Then we have
⇒ 84 / 46
⇒ 42 / 23
The ratio of the width to the length of the cell phone will be 42: 23.
More about the ratio and the proportion link is given below.
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emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily bikes 15 miles, how much will her mother donate?
Answer:
$25.60
Step-by-step explanation:
To find how much money will be donated, we find how many 0.25's there are in 16 and multiply that by $0.40.
16/0.25=64
64*0.4=25.6
$25.60
Answer:
thanks
Step-by-step explanation:
what is the elasped time between 1:35 and 6:00
Answer:
4 hours 25 minutes
Step-by-step explanation:
subtract 1.35 from 6.00 and recall that 60 minutes make one hour. = 6.00 - 1.35. = 4.25
does anyone know how to do this?
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
Find the area. Simplify your answer.
x-5
6
Answer:
6x-30
Step-by-step explanation:
Just multiple like this (6)(x-5)
I need help on this pleasee
Answer:
-8/65 is the answer ......................
Please help meeeeee!
Answer:
THIS IS FOR YOUR SAFTEY, PLEASE READ! ⚠️ There is a Mickey Mouse profile that will dm you on any social platform do NOT open the message or even look at it, the message will be “do you wanna play a game” once again DO NOT open it, the game includes tasks. Some of the tasks are carving a whale into your arm, do stuff to you family and the last task is to take your live (life) ALSO STOP BRING UP MOMO AND WATCH OUT FOR KENYONN AND SMOG AND A FEW OTHERS ON BRAINLY THEY DELETING EVERYTHING ⚠️COPY AND PASTE TO SPREAD
Stay safe! This is a scary situation! Avoid at all costs! It's on the news! SPAM THIS INSTEAD OF DOGE AND BOB! ALSO AT THE END IF YOU WOULD LIKE TO JOIN THE Threat Protection and Gossip Group just say 123 at the end of your response! SPREAD THIS EVERYWHERE! THIS IS NOT A JOKE OR PRANK STAY SAFE AT ALL COSTS DO NOT OPEN IT! 123
Step-by-step explanation:
what is 12x34(234)+123x234
Answer:
it's 124,254
Step-by-step explanation:
34 x 234 = 7,956
12 x 7956 = 95,472
123 x 234 = 28,782
95,472 + 28,782 = 124,254
hope that helps...
Family
The tree diagram shows the sample space for the
possible genders of three children in a family, in order
of age.
How many outcomes are in the sample space?
G
B
G
B
G
B
GB
GB
GB
GB
Done
Intro
Answer:
8
Step-by-step explanation:
I took assignment. Please mark brainliest
what is the answer to 8221 - 2974
The answer: 8221 - 2974 = 5274
Consider the graph of (x+3)2 + (y-2)2 > 1. Which point could confirm the graph is shaded correctly?
O (-4,2)
O (-3,5)
O (-3, 1)
O (-2,2)
Answer:
c) (-3, 1)
Step-by-step explanation:
It's the only point that is not on the border of the graph.
The point could confirm the graph is shaded correctly is (-3, 1)
The correct option is (C).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
[tex]\frac{\left(x\ +3\ \right)^{2}}{1}\ +\ \frac{\left(y-2\right)^{2}}{9} > 1[/tex]
As, per the graph attached below we can see that the small part is not shaded other than that part whole part is shaded.
Hence, the point could confirm the graph is shaded correctly is (-3, 1).
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Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs of 4. What is the least number of packs of each she could buy? 8103 4 packs of pencils and 1 pack of pens 1 pack of pencils and 4 packs of pens the 1 pack of pencils and 1 pack of pens 4 packs of pencils and 4 packs of pens SUBMIT
Answer:
pencils=16
pen= 4ijsjh
Bugz
hheh7twh556
US 3ju7hutwbh67s
Nigeria is a bad country my name
is Hanna and I am from the USA
I am from Arizona
juhusjyrs hfah its
I NEED HELP LIKE ASAP PLS WILL GIVE 25 POINTS IF CORRECT PLS NEED ANSWER NOW(ONLY IF CORRECT THO)
Determine the probability of landing on blue. Write your answer as a fraction, decimal, and percent. Show your work! Be ready to discuss your answer. *
Answer: 3/12 3 blues and 12 colors in total i dont know how to explain sorry
Answer:
Hills, mountains and rivers are example of ------------------ features
area of 10 and 7 in square inches
Answer:
70 sq. in
Step-by-step explanation:
7*10=70
sorry if im wrong
16/4 divided by 32/1
First of all, observer that 16/4=4
Secondly, 32/1=32 because everything divided by 1 is itself.
Now the question is 4/32
We divide 4 from both top and bottom.
getting 1/8
Please help! Thank you!
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: y = x + 15}}[/tex]
Step-by-step explanation:
to understand thisyou need to know:linear equationlinear equation word problemsPEMDAStips and formulas:linear equation:y=mx+blet's solve:all we need to care about the middle condition which is
the new test score is 15 points more than the original scoregiven that
original score is x
New score is y
if you pay attention to the given condition
we can find it same as linear equation
therefore
according to the question
the equation is
y=x+15Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain
Answer:
[tex]Sum = -81[/tex]
Step-by-step explanation:
See the comment for complete question.
Given
[tex]c = 36[/tex] ----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
[tex]x^2 + ax + 36 = 0[/tex]
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]
Using the above roots, the equation can be represented as:
[tex](x + \alpha)(x + \beta) = 0[/tex]
Open brackets
[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]
To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:
[tex]a = \alpha + \beta[/tex]
[tex]\alpha \beta = 36[/tex]
Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]
The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:
[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
So, the possible values of a are:
[tex]a = \alpha + \beta[/tex]
When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]a = -1 - 36 = -37[/tex]
When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]a = -2 - 18 = -20[/tex]
When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]a = -3 - 12 = -15[/tex]
When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
[tex]a = -4 - 9 = -13[/tex]
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
[tex]Sum = -37 -20 -15 - 9[/tex]
[tex]Sum = -81[/tex]
7. A restaurant owner wants to see if there is a relationship between the amount of
sugar in some food items on her menu and how popular the items are.
She creates a scatter plot to show the relationship between amount of sugar in menu
items and the number of orders for those items. The correlation coefficient for the
line of best fit is 0.58.
a. Are the two variables correlated? Explain your reasoning.
b. Does either of the variables cause the other to change? Explain your reasoning.
Answer:
a) Yes, the two variables correlated
b) Yes, variation of sugar changes the number of orders for item containing sugar
Step-by-step explanation:
a) Yes the two variables are moderately co-related as the value of co-relation lies between 0.5 and 0.7
b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.
(4 1/4x + 8) + (-1 1/2x - 12)
Answer:
(19x-290)/(4(x+2)(x-6)
Step-by-step explanation:
Apply Fraction Rule:
(41)/(4x+8)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/2(x-6)
LCM:
(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)
Expand:
= (19x-200)/4(x+2)(x-6)
. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?
What does 253.7 / 6 equal ?
Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)
The oxygen fuel tank for NASA’s new SLS (Space Launch System) holds about 740,000 L of liquid oxygen. Liquid oxygen has a density of 1141 g/L. The oxygen will react with liquid hydrogen to produce the rocket’s thrust.
Calculate the mass of hydrogen needed to completely react all the oxygen:
2H2+O2→2H2O
Liquid hydrogen has a density of 71 g/L. What is the minimum volume of liquid hydrogen needed to completely react all the liquid oxygen?
Calculate the volume (in liters) of the combined fuel tanks:
Answer:
how did this get in the math section._.
A distribution is given as X ~ U(0, 12). Find P(x > 6). (Enter an exact number as an integer, fraction, or decimal.)
Answer:
Step-by-step explanation:
The value of P(x>6) is 1/5.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that A distribution is given as X ~ U(0, 12).
We need to find the value of P(x > 6)
The probability density function of the uniform distribution is defined as:
f(x)=1/b-a, a<x<b
a=0 and b=12
f(x)=1/12 , 0<x<12
The required probability is P(x>6)
Now P(x>6)= [tex]\int\limits^2_6 {f(x)} \, dx[/tex]
P(x>6)=(12/12-6/12)
=1-1/2
=1/2=0.5
Hence, the value of P(x>6) is 1/5.
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A jellyfish travels 3/5 mile in 1/6 hour and a walrus travels 5/6 mile in 3/10 hour.
Answer:
The jellyfish travels faster than the walrus
Step-by-step explanation:
Given data
A jellyfish travels 3/5 mile in 1/6 hour
Distance= 3/5 mile
time= 1/6 hour
speed= distance/time
speed= 3/5/1/6
speed= 3/5*6/1
speed= 18 mile per hour
a walrus travels 5/6 mile in 3/10 hour.
Distance= 5/6 mile
time= 3/10 hour.
speed= distance/time
speed= 5/6/3/10
speed= 5/6*10/3
speed= 50/18 mile per hour
Answer:
the first answer is 3 3/5
the second answer is 2 7/9
the third answer is “greater than” and then “jellyfish”
Ur welcome
A laundry basket has 24 t-shirts in it. Four are navy,
12 are red, and the remaining are white. What is the probability of selecting a green shirt
What is the probability of selecting a green shirt
Answer:
The probability is of selecting a green shirt is 8
Step-by-step explanation:
24 - 4 = 20
20 - 12 = 8
The probability of not selecting a white shirt is 2/3.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white
We have to find the probability of not selecting a white shirt
Total number of shirt's= 24
navy = 4
red = 12
white = 24 - ( 4+12)= 8 white shirts
number of shirts that are not white = 16
Therefore the probability of not selecting a white shirt = 16/24
= 2/3
Hence, the probability of not selecting a white shirt is 2/3.
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A laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white what is the probability of not selecting a white shirt
A. A car travels 20 m/s and reached its destination in a record time of 10 secs. Calculate the distance
travelled by the car.
