You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places
Answer:
The answer is "[tex](32.8318736, 29.1681264)[/tex]"
Step-by-step explanation:
When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:
[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]
which numbers in the set (2, 3, 4, 5,) are solutions to the inequality 19- 4x>3
Answer:
2 and 3
Step-by-step explanation:
Given the set (2, 3, 4, 5,) and inequality 19- 4x>3
To obtain which number gives a solution, we test each value in the set ;
19- 4x>3
For x = 2
19- 4(2)>3
19 - 8 > 3
11 > 3 (true)
x = 3
19- 4(3)>3
19 - 12 > 3
7 > 3 (true)
For x = 4
19- 4(4)>3
19 - 16 > 3
3 > 3 (false )
For x = 5
19- 4(5)>3
19 - 20> 3
-1 > 3 (false)
4
)
5 + 15x
42x + 4
A) -2
C) -10
B) 3
D) -8
Answer:
D
Step-by-step explanation:
D
A sample of 340 students in a high school were asked how many times they go to their locker each day. 137 of those surveyed said that they go to their locker at least 3 times each day. Calculate the sample proportion of students who go to their locker at least 3 times each day. Either give the exact fraction or decimal, or round to three decimal places.
Answer:
The sample proportion of students who go to their locker at least 3 times each day is 0.403.
Step-by-step explanation:
Sample proportion of students who go to their locker at least 3 times each day.
The sample proportion of students who go to their locker at least 3 times each day is the number of students who do this divided by the size of the sample.
In this question:
137 go to their locker at least 3 times each day, sample of 340 students. So
137/340 = 0.403
The sample proportion of students who go to their locker at least 3 times each day is 0.403.
four numbers 1-6 you roll a six-sided die whose sides are numbered from 1 through 6. Find the probability of rolling the following. NO LINKS!!!!
Answer:
#1
Since half of the numbers are even, 2, 4, 6
P(even) = 3/6 = 1/2#2
Multiple of 3 are 3 and 6:
P(multiple of 3) = 2/6 = 1/3#3
The numbers ≤ 4 are: 1, 2, 3, 4
P(≤4) = 4/6 = 2/3#4
Prime numbers are 2, 3, 5
P(prime) = 3/6 = 1/2#5
Numbers > 1 are 2, 3, 4, 5, 6
P(>1) = 5/6#6
A four, there is one option
P(4) = 1/6Solve for z
3z-5+2z=25-5z
Answer:
z=3
Step-by-step explanation:
1. collect like terms
5z-5=25-5z
2. Move the variable to the left hand side and change its sign
5z-5+5z=25
3. Collect like terms
10z=25+5
4. Divide both sides of the equation by 10
z=3
The solution to the equation is z = 3.
To solve for z in the equation 3z - 5 + 2z = 25 - 5z, we can simplify and combine like terms on both sides:
3z + 2z + 5z = 25 + 5
Combining the terms on the left side gives:
10z = 30
Next, we isolate the variable z by dividing both sides of the equation by 10:
(10z)/10 = 30/10
This simplifies to:
z = 3
Therefore, the solution to the equation is z = 3.
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The school newspaper surveyed 100 commuter students and asked three questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. And third, they were asked their heights. Identify the type of random variable being measured by each.
Answer:
The number of courses they were currently enrolled in is a discrete random variable.
The time it took them to drive to campus is a continuous random variable.
Their heights is a continuous random variable.
Step-by-step explanation:
Random variables:
Random variables can be classified as continuous or discrete.
Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.
First, students were asked how many courses they were currently enrolled in.
Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.
Second, the commuter students were asked to estimate how long it took them to drive to campus.
Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.
And third, they were asked their heights.
Can also be decimal numbers, so continuous.
Given that the triangles shown below are simiar, what is the value of x?
O A. 7.1
O B. 5
O C. 14
O D. 10
Answer:
C) 14
Step-by-step explanation:
Both triangles are the same as far as angles, DEF is however half of ABC. Therefore x is half of 28
Arlene went to the grocery store to buy cold cuts for making sandwiches for lunch. She wants to buy 2.5 lbs. Of ham that cost 7.92 per pound. How much will she spend in total?
Answer:
$19.80
Step-by-step explanation:
If 1 pound of ham costs 7.92, multiply that by 2.5 (the amount she wants to buy) and get the total cost 19.8
Write a number that is greater than 100 and less than 1000.
Divide that number by 10 or 100.
The quotient should be a number that is less than 100 but greater than 1.
Answer:
150
Step-by-step explanation:
150 is greater than 100 and less than 1000.
150 can divide by 10.
The quotient of 150 is less than 100 but greater than 1.
What is the total cost of a bag chips that cost $0.99 with 7% sales tax?
Find the value of x.
9514 1404 393
Answer:
103
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°, so the measure of x° is ...
x° = 360° -127° -90° -40° = 103°
x = 103
Answer:
The measure of x is 103 °.
Step-by-step explanation:
Concept :- As we know that sum angles of quadrilateral is 360 ° so, to find the measure of x.
Firstly add all the angles that we have given and subtract from 360 ° and we get the vue of x.
Solution :-We know that The sum angles of quadrilateral is 360 ° , Hence, value of x =
x + 127 ° + 90 ° + 40 ° = 360 °
x + 257 ° = 360 °
Subtract 257 ° from 360 °
x = 360 ° - 257 °
x = 103 °
Therefore, The measure of x is 103 °.
The factory has 6 cutting machines. Each cutting machine cuts 105 parts every 3 minutes. How many parts can all 6 cutting machines cut in 1 minute
Answer:28
Step-by-step explanation:
select the correct answer. The capacity of a circular bowl varies directly with the cube of its diameter. How does the capacity of the bowl change when the diameter is doubled? a. the capacity is multiplied by 8. b. the capacity is multiplied by 2. c. the capacity is multiplied by 1/8. d. the capacity is multiplied by 1/2.
Answer:
A
Step-by-step explanation:
got it right on the test
In a directly proportional relationship, increasing one variable will increase another. The correct option is A.
What is the directly proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
Given that the capacity of a circular bowl varies directly with the cube of its diameter. Therefore, the relationship can be written as,
Volume of the bowl ∝ (Diameter of the bowl)³
V₁ ∝ (D)³
Now, if the diameter of the bowl is increased and made double. Then the volume of the bowl will be,
Volume ∝ (2 × Diameter)³
V₂ ∝ (2D)³
V₂ ∝ 8(D)³
V₂ ∝ 8 V₁
Thus, when the diameter is doubled then the capacity of the bowl changes to 8 times the initial.
Hence, the capacity is multiplied by 8.
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The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 70% of the lead to decay? (Round your answer to two decimal places.)
Answer:
5.73 hours
Step-by-step explanation:
70% decay means 30% remains
.3 = (1/2)^(t/3.3)
take the log of both sides
log.3 = t/3.3 * log1/2
Divide both sides by log 1/2
log.3 / log1/2 = t/3.3
use calculator
1.736965594166206 = t/3.3
multiply both sides by 3.3
5.73198646074848 = t
rounded
t = 5.73 hours
What IS the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17
Step-by-step explanation:
The school that Willie goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 12 senior citizen tickets and 5 child tickets for a total of $102. The
school took in $156 on the second day by selling 14 senior citizen tickets and 12 child tickets.
Find the price of a senior citizen ticket.
Answer:
11
Step-by-step explanation:
all you need to do is divide 156 dollars by 14 citizen
Can anyone help? Please and thank you!
Answer:
[tex]csc(\theta)=\frac{6}{5}\\\\sin(\theta)=\frac{6\sqrt{11}}{11}\\\\cot(\theta)=\frac{6\sqrt{11}}{11}[/tex]
Step-by-step explanation:
This problem asks that one to finds the value of some basic trigonometric functions. Remember, the trigonometric ratios in a right triangle are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
One also has the reciprocal functions for trigonometric ratios these are as follows,
[tex]csc(\theta)=\frac{hypotenuse}{opposite}\\\\sec(\theta)=\frac{adjcanet}{opposite}\\\\cot(\theta)=\frac{adjacent}{opposite}[/tex]
This problem gives on the information that the side adjacent to the angle ([tex]\theta[/tex]) has a measure of (5) units. The hypotenuse, side opposite the right angle measures (6) units.
One can use the Pythagorean theorem to solve for the unknown side. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to the right angle of a right triangle. (c) is the side opposite the right angle; the hypotenuse. Substiute the given values in and solve for the unknown,
[tex](5)^2+(b)^2=(6)^2\\25+b^2=36\\b^2=11\\b=\sqrt{11}[/tex]
The problem asks one to find certain ratios. To do this, simplify substitute the sides into their respective positions in the ratio.
[tex]csc(\theta)=\frac{hypotenuse}{opposte}=\frac{6}{5}[/tex]
[tex]sin(\theta)=\frac{hypotenuse}{opposite}=\frac{6}{\sqrt{11}}=\frac{6\sqrt{11}}{11}[/tex]
[tex]cot(\theta)=\frac{adjacent}{opposite}=\frac{5}{\sqrt{11}}=\frac{5\sqrt{11}}{11}[/tex]
Suppose a binomial trial has a probability of success of 0.9, and 750 trials are
performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
A. 13.69
B. 13.42
C. 8.22
D. 12.55
fine ,it is a A ok,I am sorry for using rude words on you
Find C.
Round to the nearest tenth.
20 ft)
22 ft
B
18 ft
А
Pythagorean theorem
Answer:
b=20 yards
Step-by-step explanation:
15^2+x^2=25^2
225+x^2=625
x^2=400
x=20
Answer:
x=20
Step-by-step explanation:
Which ones are correct?
Answer:
Th answer is D
Step-by-step explanation:
i will mark brainliest please help me on this question!
B. The data set is skewed to the left.
Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6, -1). O A. y = 5x – 29 O B. y = 1x+ 1 5 O C. y = 5x + 29 OD. y = -5x - 11
Answer:
[tex]{\text{C. }y=5x+29[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept.
The slopes of parallel lines are always equal. Therefore, the slope of the equation we want to find will also be [tex]5[/tex]. The equation of the line must be true for any point it passes through. Thus, we can plug in the point [tex](-6,-1)[/tex] to solve:
[tex]y=mx+b,\\-1=5(-6)+b,\\-1=-30+b,\\b=29[/tex]
Thus, the equation of the line is [tex]\boxed{\text{C. }y=5x+29}[/tex]
Help PLSSSSS I will give you Brainlyist
I suck at math it should be easy
Answer:
11
Step-by-step explanation:
44 / 11 = 4
33 / 11 = 3
7 strips
Answer:
11
Step-by-step explanation:
bro don't call urself that....
According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,600 per year on reading and entertainment
Answer:
z = x-u/s
z = 2600 - 2020/456
z = 1.27
= .897
1-.898 = .102
z > 1.27 = 10.2%
The percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
What is the z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
Given that according to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456.
The percentage will be calculated as,
z = x-u/s
z = 2600 - (2020/456)
z = 1.27
The value of z=1.27 in the table is 0.897. The percentage will be calculated as,
P = 1-.898 = .102
z > 1.27 = 10.2%
Therefore, the percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
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please help and thank you
Answer:
D) 3
Step-by-step explanation:
It is halfway the length of Y and W. 6-3= 3
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
Hamburger Heaven is having a lunch special where customers buy one -pound cheeseburger and get one free. If they set aside pounds of meat, how many -pound cheeseburgers can they make?
Answer:
hey um how many pounds of meat do we know that yet?
Answer:
49 hamburgers
what is the ordered pair for the equation -7x+3y=2
Answer:
Step-by-step explanation:
ered
Christine(C) and two of her friends. Bianca B) and Travis(7), won first place for a marketing case competition. They received an amount of $3,600, however,
they decided to share the prize in the ratio of the amount of time each of them spent on the marketing case. If Christine spent 4 hours, Bianca spent 6 hours.
and Travis spent 8 hours, what would be each person's share of the prize?
f2.00
jon
aC:600.B:1400,T:1300
b. C:600.B:1200.T: 1600
c
C:800.B:1200.T:1600
Answer: C:800.B:1200.T:1600
Step-by-step explanation: If the ratio is proportional to the time spent on the marketing competition, then we can add the hours up: 4+6+8=18. Total amount divded by total hours -> 3600/18=200. So each hour worked is 200 dollars. Christine worked 4 hours, 4*200=800, Bianca worked 6 hours, 6*200=1,200, and Travis worked 8 hours, 8*200=1,600.