Answer:
The point estimate for the difference between the means of the two populations is x1`-x2`= 81-85=-4 where x1` is the mean of the of the first population and x2` is the mean of the second population.
Step-by-step explanation:
The data given is
Today Five Years Ago
X` 81 85
σ 14.5 8.5
n 81 36
The point estimate for the difference between the means of the two populations is x1`-x2`= 81-85=-4 where x1` is the mean of the of the first population and x2` is the mean of the second population.
The test statistics that will be used is
Z= x1-x2/ √σ₁²/ n₁ + σ₂²/n₂
Z= 81- 85/ √14.5² /81 + 8.5² /36
z= -4/√210.25/81+ 72.25/36
z= -4/2.1454
z= -1.8644
Evaluate the expression for b = 7
6b + 8 – 5b
Answer:
For b = 7, the expression equals 15.
Step-by-step explanation:
6b + 8 - 5b
Substitute the variable b = 7.
6(7) + 8 - 5(7)
Multiply.
42 + 8 - 35
Add.
50 - 35
Subtract.
15.
Answer:
15
Step-by-step explanation:
6 × 7 = 42
5 × 7 = 35
42 + 8 - 35 = 15
What is the median of the following data values?
108, 102, 43, 100, 22
O A. 80
O B. 95
O C. 100
O D. 75
Answer:
100
Step-by-step explanation:
You're correct :) good job
Write the equation of the line that passes through the points (7, -3) and (7, 0).
Answer:
x = 7
Step-by-step explanation:
Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation
x = c
where c is the value of the x- coordinates the line passes through, then
x = 7 ← equation of line
Answer:
I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.
3x+0
Step-by-step explanation:
Using the formula mx+b we can get our answer.
We know that the two points pass through (7, 0)
mx+b is (slope)x+(y-intercept)
The slope of the two lines is 3 so we can replace m for 3:
3x+b
the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.
Yousef buys 40 tokens at the carnival. He gives his sister tokens for 5 kiddie rides. He wants to use the remaining token for thrill rides for himselt.
thrill rides use 5 tokens each and kiddie rides use 3 tokens each, what is the largest number of thrill rides Yousef can go on?
Answer:
5 rides
Step-by-step explanation: Multiply the number of kiddie rides his sister will go on (5) by the amount of tickets it costs each (3). subract that from 40 (the initial amount of tickets). then divide that by 5 (amount of tickets for 1 thrill ride)
Which expression is equivalent to
Answer:
x^6
Step-by-step explanation:
A box holds 12 markers. Nan takes out 6. Then she puts 2 back. Are there enough markers in the box for Fen to take out 10?
Answer:
Nope
Step-by-step explanation:
No because you can (12 + 6) +2 and get 8. so yea
ASAP help me plz!!! It’s 2 questions btw
Answer:
60
Step-by-step explanation:
I hope you understand what I wrote
Please help me with this answer
9514 1404 393
Answer:
x = 12∠H = 94°Step-by-step explanation:
The marked angles are supplementary, so ...
(5x +26)° +(8x -2)° = 180°
13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24
x = 12 . . . . . . . . . . . divide by 13
∠H = (8x -2)° = (8·12 -2)°
∠H = 94°
Give me an example of an event that has a 2/5 chance of occuring.
Answer:
You have 2 red marbles and 3 green marbles in a bag. What is the probability that a red marble is pulled out of the bag?
The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)
Answer:
a) 0.1859 = 18.59% probability that 5 will survive.
b) 0.1181 = 11.81% probability that 8 will survive.
c) 0.0016 = 0.16% probability that 12 will survive.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that the patient recovers from a rare deadly disease is 40%
This means that [tex]p = 0.4[/tex]
15 individuals
This means that [tex]n = 15[/tex]
a. 5 will survive
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]
0.1859 = 18.59% probability that 5 will survive.
b. 8 will survive
This is P(X = 8). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]
0.1181 = 11.81% probability that 8 will survive.
c.12 will survive
This is P(X = 12). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]
0.0016 = 0.16% probability that 12 will survive.
For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed
Answer:
Option B:
[tex]H_0: \mu = 22.1[/tex]
[tex]H_a: \mu \neq 22.1[/tex]
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
[tex]H_0: \mu = 22.1[/tex]
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
[tex]H_a: \mu \neq 22.1[/tex]
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
Daniel loves pizza, so he decided to enter a pizza eating contest. Each contestant was given a 25inch pizza and the winner was determined by who ate the most! Daniel ate the entire pizza and won! How much pizza did he eat? (Hint 25 is the diameter?
Answer:
490.87 inches²
Step-by-step explanation:
Hi there!
What we're trying to find: the area of the circular-shaped pizza
What we know: the diameter of the pizza (25 inches)
Area of a circle = [tex]\pi r^2[/tex] where r is the radius of a circle
To find the radius, divide the diameter by 2:
25 inches ÷ 2 = 12.5 inches
Plug 12.5 inches into the area equation
[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=\pi (12.5)^2\\A=156.25\pi \\A=156.25\pi \\A=490.87[/tex]
The area of the circle (pizza) is approximately 490.87 inches².
Therefore, Daniel ate 490.87 inches² worth of pizza.
I hope this helps!
When Nathaniel left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Nathaniel's battery, as a percentage, can be
modeled by the equation B = 52 - 6.5t, where t is the number of hours since
Nathaniel left his house. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
Slope -6,5
Step-by-step explanation:
Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.
If four is subtracted from twice a number, the result is fourteen what is the equation
Answer:
2x - 4 = x - 10
Step-by-step explanation:
If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?
Answer:
f(g(x) = -3v
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
(D) a hexagon......................
In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?
Answer:
don't know
Step-by-step explanation:
dont know...........
Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to 350,000 centigrams. Select all that apply.
35 kilograms
3,500 decigrams
350 dekagrams
3,500 grams
PLEASE ANSWER PLEASE
Given:
The package weighed 350,000 centigrams.
To find:
The conversions that are equivalent to 350,000 centigrams
Solution:
We know that,
1 centigrams (cg) = 0.000001 kilograms (kg)
1 cg = 0.1 decigrams (dg)
1 cg = 0.001 dekagrams (dag)
1 cg = 0.01 grams (g)
Using these conversions, we get
350,000 centigrams = 3.5 kilograms
350,000 centigrams = 35,000 decigrams
350,000 centigrams = 350 dekagrams
350,000 centigrams = 3,500 grams
Therefore the correct options are C and D.
there are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 14 meters?
Answer:
551
Step-by-step explanation:
Answer:
551.18 inches
Step-by-step explanation:
convert 14 m to cm, so multiply 14 by 100, to get 1400, then convert to inches, so divide by 2.54, which gives you 551.18 inches
Can someone help me find the answer to this riddle please?
Answer: Riddle
Step-by-step explanation: The letters that aren't in the second word, but are in the first make riddle. Like I got the r because it wasn't in bead but it was in bread, etc
Answer:
The answer is "Riddle"
Step-by-step explanation:
First letter: R
Second letter: I
Third letter: D
Fourth Letter: D
Fifth Letter: L
Sixth Letter: E
Can someone please tell me what 597 ➗ 5 is
Answer:
119.4
Step-by-step explanation:
Big Brain Dude <:
Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4
Solve for x. What does X =?
Answer:
x=50
Step-by-step explanation:
Susan has 3 pairs of shorts, 5 shirts, and 2 pairs of shoes to take to camp. If she wears a pair of shorts, a shirt and pair of shoes each day, how many different outfit combinations does Susan have to choose from?
Answer:
30
Step-by-step explanation:
Which of the following is equivalent to ^5sqrt13^3
Answer:
The last one 13^3/5
Step-by-step explanation:
13^3/5
please help, the answer below is a option but i need a answer for the question
Answer:
12 units^2
Step-by-step explanation:
The area of the figure is ______ sq units
Ronald runs 6,000 meters in 2 hours. He is thinking of running an 18 kilometers race. How much time will he take in the race if he maintains the same speed?
Answer:
6 hours
Step-by-step explanation:
speed = distance/ time
6000meters to km = 6000/1000= 6km
speed for the first race = 6/2
speed = 3km/hr
for the second race
speed = distance/time
3 = 18/time
cross multiply
3* t = 18
divide both sides by 3
t = 18/3
t = 6 hours
Answer:
Ronald will take 6 hours to complete the 18 km race if he maintains this speed.
Step-by-step explanation:
6000m in 2h = 6km in 2h
multiply by 3:
18km in 6h
Have a nice day!
Ten students each attempted 10 free throws. The list shows how many free throws each student made. What is the mean of free throws made? *
Answer:
why isn't anybody answering. I guess ill have too.
Step-by-step explanation:
Ok.
A different pack has 72 cards.
5/9 are yellow
Work out the number of yellow cards.