Answer: P(p<0.35) = 0.05
Step-by-step explanation:
Khan told me
The approximate probability that less than 355 of the same used the alarm clock will be equal to 0.0485.
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given information given in the question,
P = 0.38
Q = 1 - P = 1 - 0.38 = 0.62
n = 700 and sample proportion, p = 0.35
Use the formula given below,
z = (p - P)/√(PQ/n)
z = (0.35 - 0.38)/√(0.38 × 0.62)/700
z = -0.03/0.018
z = -1.666
Now,
For P(X < 35%) = P(Z < -1.66)
= P(-∞ < Z < 0) - P(-1.66 < Z < 0)
= 0.5 - 0.4515 = 0.0485
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Your question seems incomplete, the complete question may be:
An article claimed that only 38% of hotel visitors used the alarm clock provided. A hotel manager wanted to see whether that proportion applied to the hotel where she worked, so she took a random sample of 700 and checked whether they used their room alarm clock. Of the sampled visitors, only 35% used the alarm clock.
What is the approximate probability that less than
35% of the sample used the alarm clock (rounded to the nearest hundreth)?
The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex] [tex]\frac{y_1+y_2}{2} =Ymp[/tex]
[tex]\frac{6+x_2}{2} = 1[/tex] [tex]\frac{-2+y_2}{2} =2[/tex]
multiply each by 2 to simplify
[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex] [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify
6+[tex]x_{2}[/tex] = 2 -2+[tex]y_{2}[/tex] = 4 =
-6 -6 +2 +2
[tex]x_{2}[/tex] = -4 [tex]y_{2}[/tex] = 6
To check use the Midpoint formula
[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]
A coin is flipped 5 times. What is the total possible outcomes or sample space for this event?
Answer:
Step-by-step explanation:
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. hope this helped\
Marcia and her family went to a concert.They bought 3 adult tickets and 4 children’s tickets. What was the total cost for the family?2.A small aircraft has 14 rows with 2 seats in each row on one side and 14 rows with 3 seats in each row on the other side. How many seats does the aircraft have in all?3.Writing to ExplainWrite a problem about going on a water ride at an amusement park that has a hidden question. A small boat seats 4 people, and a large boat seats 6 people. Solve your problem.Concert AdmissionAdults$8Students$5Children$3P 10•7
What is the hidden question
Answer:
2= 28+42=70
Step-by-step explanation:
What is the diameter in inches of a circle that has an area of 81
Answer:
d = 10
Step-by-step explanation:
A = πr²
81 /π = r²
r² ≈ 25
r = 5
d = 5(2) or 10
Help and i will give brainiest if you answer them all if random will report
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Answer:
thank you very much
Step-by-step explanation:
thank you
Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?
Answer:
6 cards
Step-by-step explanation:
8 × 6 = 48
You can't have 1/4 of a baseball card. So the answer is 6 cards.
Can I get the answer please ?
300 – 7[4(3 +5)] + 33
Answer:
105
Step-by-step explanation:
your answer is 105.
Find the value of the expression below for x=10
x ^2 - 2 (x + 5)
Answer:
20
Step-by-step explanation:
your welcome!!
HELP BRIANLIEST TO BEST ANSWER
The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number of pencils in stock is 650.
The number of days is the independent variable.
True or false
Answer:
If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.
Step-by-step explanation:
Answer:
false they are measuring the amount the sold
PLS ANSWER I WILL GIVE BRAINLIEST
Answer:
3+2x
Step-by-step explanation:
Since you've started with 3 you add the 2 each time up the output.
Who was the first prince of Russia to be crowned as a czar
Given that the function g is defined by the rule g(x)=3-2x,determine the following
g(a)=
Answer:
The value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
Step-by-step explanation:
Given
As the function is given by
[tex]g(x)=3-2x[/tex]
To determine
g(a) = ?
Given the function
[tex]g(x)=3-2x[/tex]
substitute x = a in the function
[tex]g(a) = 3 - 2(a)[/tex]
[tex]g(a) = 3 - 2a[/tex]
Therefore, the value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
Solve 3^x=42. Round to the nearest hundredth
Answer: x=3.40
Step-by-step explanation: apply exponent rule xln(3)= ln(42)
solve xln(3)=ln(42): x=ln(42)/ln(3) (fraction form)
(decimal) 3.40217... round it to the nearest hundreth= 3.40
I do not know if this is correct.
The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The length of the longer leg of a 30-60-90 triangle is 18.
Then the length of the short leg will be
tan 30° = x / 18
x = 10.4
Then the length of the hypotenuse will be
sin 30° = 10.4 / h
h = 20.8
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Factor to write an equivalent expression: 5a - 10
A certain type of golfball is tested by a robot that hits the ball with a consistent impact force. The distances this type of ball travels in this test are normally distributed with a mean of 195195195 meters and a standard deviation of 555 meters. Suppose that quality control experts regularly collect random samples of 252525 distance measurements and calculate the sample mean distance in each sample. Assume that the measurements in each sample are independent. What will be the shape of the sampling distribution of the sample mean distance
Answer:
Approximately normal
Step-by-step explanation:
Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.
The shape of the sampling distribution of the sample mean distance is approximately normal
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5
meters.
Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample
When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.
Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.
Hence, the shape of the sampling distribution of the sample mean distance is approximately normal
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I need help with this math problem
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
I NEED HELP ASAP Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town.
Which statements are true?
Select each correct answer.
To estimate the percentage well, she would need to collect data for all 35,000 families.
Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.
If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.
Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.
Answer:
c and d
Step-by-step explanation:
Math PLEASE HELP IM SO CONFUSED IM ATTACHING THE SLIDES!!!!
Answer:
x = 19, TS = 22Step-by-step explanation:
Use ratios to solve for x. Corresponding sides have same ratio.Q1
(x + 5)/30 = (36 - 20)/20(x + 5)/30 = 16/20 = 4/55(x + 5) = 4(30)5x + 25 = 1205x = 95x = 19Q2
(5x - 2)/(3x + 1) = 39/26(5x - 2)/(3x + 1) = 3/22(5x - 2) = 3(3x + 1)10x - 4 = 9x + 310x - 9x = 3 + 4x = 7TS = 3x + 1 = 3(7) + 1 = 22
PLEASE HELP GIVING BRAINLIEST
f(n) = n2 + 4n
g(n) = - 2n - 2
Find f(n) + g(n)
Answer:
(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)
(g x h)(n) = -3n^3-4n^2 -8n + 8
(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7
Step-by-step explanation:
Answer:
1. n = 0
n = f -4
2. n = - 2/g+2
3. fn+gn
Step-by-step explanation:
Find the area of the octagon.
The area is _
609.0÷14
what is the anawer
Answer:
43.50 or 43.5
Step-by-step explanation:
what is the area of the triangle?
Answer:
32
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
Don't drink and drive: A highway safety council reported that there were 3972 fatalities among drivers in auto accidents in a particular year. Following is a frequency distribution of their ages. Approximate the mean age. Round your answer to one decimal place. Age Number of Fatalities 11-20 340 21-30 1527 31-40 866 41-50 693 51-60 423 61-70 123 Send data to Excel The mean is approximately .
Answer:
[tex]\bar x = 34.7[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}[/tex]
Required
Calculate the mean
The given data is a grouped data. So, we need to calculate the class mid -point first.
This is done by calculating the average of the class intervals.
So, we have:
[tex]\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}[/tex]
For 11 - 20, the midpoint is: [tex]x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5[/tex]
For 21 - 30, the midpoint is: [tex]x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5[/tex]
.....
For 61 - 70, the midpoint is: [tex]x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5[/tex]
The mean is then calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}[/tex]
[tex]\bar x = \frac{138016}{3972}[/tex]
[tex]\bar x = 34.7472306143[/tex]
[tex]\bar x = 34.7[/tex] --- approximated
The mean is approximately 34.7
The ratio of the three angles of a triangle is
9:13:3. What is the measure of the MIDDLE angle?
Answer:
64.8°
Step-by-step explanation:
in the given ratio 9:13:3 the required middle angle is presented as 9;
1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as
9x+13x+3x=180, ⇒ x=36/5;
2) if x=36/5, then the required measure of the middle angle can be calculated:
m(∠MIDDLE)=9*36/5=64.8°.
Can someone please help
Step-by-step explanation:
step 1. 6x - 30 = 2(x + 33)
step 2. 6x - 30 = 2x + 66
step 3. 4x = 96
step 4. x = 24.
step 5. mNMO = x + 33 = 24 + 33 = 57°.
Juanita borrowed $600 to purchase a new computer. She
was charged 7% interest for two years. She used the
simple interest formula to find the interest.
|=600(7)(2)
What error did Juanita make and how will her error affect
the interest she calculates? Explain.
Answer:
Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)
Answer:
Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.
Step-by-step explanation:
This is a sample response, be sure to change the wording up a bit.
