Answer:
48 years
Step-by-step explanation:
Let the ratio of their ages be
4:2:1
Sum up the numbers
4+2+1
= 7
Their total ages is 84
7/84
= 1/12
Therefore Jim age can be calculated as follows
= 12×4
= 48
Hence Jim is 48 years
A study conducted by a commuter train transportation authority involved surveying a random sample of 200 passengers. The results show that a customer had to wait on the average 9.3 minutes with a standard deviation of 6.2 minutes to buy his or her ticket. Find the upper confidence limit (UCL) for a 95% confidence interval for population mean , the true mean waiting time. Round your answer to two decimal places.
Answer:
The UCL of the 95% confidence interval for population mean is 10.16 minutes
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{6.2}{\sqrt{200}} = 0.86[/tex]
The upper end of the interval is the sample mean added to M. So it is 9.3 + 0.86 = 10.16 minutes.
The UCL of the 95% confidence interval for population mean is 10.16 minutes
plz help i didnt take this
Answer:
A.
Step-by-step explanation:
SOH CAH TOA
sin40°= Opposite ÷ Adjacent
sin 40°= 6/x
what is the equivlalent expression of 10 plus 10 plus 10
Answer:
10 + 10 + 10 = 10 x 3
= 30
If 4 television weigh 160 pounds , how much do 5 of those television weigh? Show your work
Answer:
200 pounds
Step-by-step explanation:
4 televisions weigh 160 pounds
1 television weigh 40 punds
5 televisions weigh 200 pounds
Answer:
Logically 200 lbs
Step-by-step explanation:
160/4 = 40
1TV = 40 lbs
40 * 5 = 200
200lbs...
which value for X makes the following sentence true?
13X - 7X=13
A) 12
B) 108
c) 3
D) 1
Answer:
I think that the answer is 3
Answer:
None of the listed answers are correct
x = 13/6
Step-by-step explanation:
13x - 7x = 13
( Note: This is not a sentence. It's an equation)
Combine like terms
6x = 13
Divide both sides by6
x = 13/6
Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}
Answer:
the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)} is
{(-2,1),(3,2),(-3,3),(2,4)}.
I WILL MARK BRAINLIEST
DO NOT GUESS OR ATTACH FILE OR I WILL REPORT
Mara spins this spinner and rolls one six-sided die. What is the probability of spinning a 3 and rolling a 3 on the die?
(Photo above) Pls help
Answer:
D. The probability is 7%.
A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?
Answer:
B (5; 13)
Step-by-step explanation:
Midpoint (x) = (-1 + bx)/2 = 2
Bx - 1 = 4
Bx = 5
Midpoint (y) = (-3 + By)/2 = 5
By - 3 = 10
By = 13
B (5; 13)
In circle F with mZEFG = 30 and EF =
30 and EF = 11 units, find the length of arc EG.
Round to the nearest hundredth.
F
G
E
Answer:
5.76 units
Step-by-step explanation:
Length of arc EG = central angle/360 × 2πr
Where,
central angle = 30°
radius (r) = 11 units
Plug in the values into the formula
Length of arc EG = 30/360 × 2 × π × 11
Length or arc EG ≈ 5.76 units (to nearest hundredth)
Two trucks started toward each other at the same time from towns 500 lm scart One truck traveled at a rate of 65 km per hour wrile the other traveled at 50 km per hour. After how many hours did they meet?
If represents the number of hours, which of the following equations could be used to solve the problem?
65x=60x
65x -60x=500
65x+60x=500
Answer:
65x + 60x = 500
add 65x and 60x
this will equal 125x
divide 500 by 125
this will give you x = 4
which gives you the answer that the trucks will meet in 4 hours
please mark as brainliest
hope this helps : )
Step-by-step explanation:
What is the area of the figure?
A. 52 cm2
B. 52 cm
O C. 130 cm
O D. 130 cm2
Answer:
B is the answer
Answer:
130 cm^2
Step-by-step explanation:
split the figure into two rectangles, one can be 4x5 rectangle and the other can be the 11x10 rectangle. now multiply.
4x5 = 20
11x10=110
20+110 = 130 cm^2
Angle Relationship
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The sine of the complimentary angle of 34°
a. -0.52
b. 0.83
c. 0.97
d. -0.66
Please select the best answer from the choices provided
Answer:
B. 0.83
Step-by-step explanation:
I calculated it logically
Given: cosθ= 4/5
Find: sin2θ
Answer:
cos theta=4/5
b/h=4/5
b=4 and h=5
p=?
H^2=P^2+B^2
5^2=P^2+4^2
25-16=P^2
9=P^2
[tex]\sqrt{9}[/tex]=P
3=P
Now,
sin2theta
=p/h2
=3/5*2
=9/5
Step-by-step explanation:
Answer:
About 36.87 degrees; sinθ=3/5
Step-by-step explanation:
Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.
Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.
By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:
c^2-b^2=a^2
Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).
5^2-4^2=a^2
25-16=a^2
9=a^2
a=3
The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.
sinθ=3/5
Move over the sine to then opposite side, inverse it:
θ=sin-1 3/5
Use a calculator.
θ = about 36.87 degrees.
Help solve the problem pls
Answer:
x = 2
Step-by-step explanation:
Inverse variation between x and y can be represented as:
xy = k
Where k is the constant of proportionality.
If x = 1 when y = 11, the constant of proportionality, k, would be:
1*11 = k
k = 11
To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k
Thus:
x*5.5 = 11
Divide both sides by 5.5
x = 11/5.5
x = 2
HELP PLZZZZZ OMGGGGGGG
I need help with this question
Answer:
Step-by-step explanation:
i believe x=28?
2.93 km
Before the eruption of a volcano, the volcano was 2.93 kilometers
high. After the eruption, the volcano was 2.53 kilometers high
Use the bar diagram to find the difference in height of the volcano
before and after the eruption, in meters,
2.59 km
Click the icon to see the metric units of length
meters,
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal)
Answer:
0.4
Step-by-step explanation:
Given ABC AB=6,AC=9, find BC
Answer:
BC is 12
Step-by-step explanation:
Which means that you just add by 3 which is the rule
Use rational exponents to represent 65,535
NEED HELP!!!! ILL MARK BRAINLESS FIRST PERSON!!!!
Answer:
THE ANSWER SHOULD BE B
HAVE A GOOD DAY
Step-by-step explanation:
Answer:
sort several bags and calculate percentage
*Brainliest!* What are the AREA and Perimeter of this collection of tiles?
Answer:
15 I think
Step-by-step explanation:
Three divided by one-fourth
Answer:
3 divided by 3/4 is 4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
3÷1/4
3×4
12
I hope this helps.
I need help please urgent
Answer:
its ok don't worry
Step-by-step explanation:
its a mental answer
which measurement is closest to the area of the shaded region in square inches
A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test
Answer:
Independent of the unknown population standard deviation σ
Step-by-step explanation:
It is one tailed test so the data is right skewed.
The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.
Here the number of degrees of freedom in = n-1= 35- 1= 34
This is the only parameter of the t distribution.
The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.
Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)
Answer:
these are negative numbers
Step-by-step explanation:
Cylindrical oatmeal container has a diameter of 7 inches and a height of 10 inches find the surface area of the label which covers the curve surface of the can
Answer:
SA=πr^2h
=22/7×35/10×35×10×10
11×35
=385
can someone answer this please
Answer:
Lauren saves $4,200 and Harold saves $1,050 after 6 months.
Step-by-step explanation:
700 × 6
175 × 6
10.
V=720 cm
L=?
P=15 cm
T=8 cm
A. 6 cm
B. 8 cm
C.10 cm
D. 12 cm
Answer:
6 cm
Step-by-step explanation:
Given the information :
V=720 cm
L=?
P=15 cm
T=8 cm
The volume = L * P * T
V = L * P * T
720 = L * 15 * 8
720 = L * 120
L = 720 / 120
L = 6 cm
Find the value of the missing angle please help!
Answer:
4th Option, 45.1
Step-by-step explanation:
Cos(Ф) = [tex]\frac{12}{17}[/tex]
Ф = Cos⁻¹ ([tex]\frac{12}{17}[/tex])
Ф = 45.1
Hope this helps!