Answer:
12 bottles of water.
Step-by-step explanation:
Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.
Problem #4:
and one
sum of
A gumball machine contains 15 green gumballs, 6 yellow gumballs, and
11 pink gumballs.
The gumball machine dispenses 1 gumball at a time.
a) What is the probability of getting a pink gumball?
b) What is the probability of getting three pink gumballs in a
row?
c) If the machine was refilled, and you purchased 4
gumballs, what is the theoretical probability of the machine
dispensing 4 green gumballs?
d) If we add 8 orange gumballs to the machine, what is the probability
of getting two orange gumballs and then a yellow gumball.
be closest
at 18.
Answer:
Step-by-step explanation:
Prepare closing entireties for the concert hall bond fund
Any help would be greatly appreciated!
Answer:
the answer for that question is sqrt(49)
A program evaluator wanted to know if a combination of experience and education gave leadership candidates an advantage in meeting job performance standards better than experience alone, or education alone. There were a total of 39 candidates who had both experience and education, and 200 candidates who had either experience or education. Of the candidates who had both experience and education, 21 met the standards, while 18 did not meet the standards. Of the candidates who had only experience or education, 100 met the standards, and 100 did not meet the standards.
Select the correct statistical test to determine if there is a relationship between preparation and meeting the standards, calculate the results, and communicate the results.
a. None of the choices are correct.
b. A Spearman rs is the best choice. The test reveals that there is a strong correlation between preparation and meeting the standards (rs = [237] = 1.00, p <.05). This means there is a relationship between the variables.
c. A chi-square test would be the best choice for examining observed data. The results are significant, (X- [1, N = 239] = 0.19, p<.05). This means that there was a relationship between preparation and meeting the standards, we reject the null hypothesis that the variables are independent.
d. A chi-square test would be the best choice for examining observed data. The results are not significant (X4 [1, N = 239] = 0.19, p > .05). This means that there was not a relationship between preparation and meeting the standards, we retain the null hypothesis that the variables are independent.
Answer:
pol
Step-by-step explanation:
HELP ME PLEASEEE!!!!Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test. How long did Jordan spend studying for each test? Answers:
1 3/4 hours. 3/5 hours. 1/5 hours. or 1 2/3
Answer:
oh god I wanna feel dead oh god i wanna feel dead
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
pls help asap thanks <3
Answer:59
Step-by-step explanation:
beacause you need to added them all together
Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 240
tickets were sold for a total of $1275.00, how many student tickets were sold?
Answer:Set it up as two equations. Start off by stating that x= the number of adult tickets, and y= the number of student tickets.
6x+4.5y=2175
x+y=430
State that y = 430-x, and substitute it into the second equation 6x +4.5(430-x)= 2175.
Solve for x. Then plug in what you get for x into the x+y=430 equation and solve for y. Your number of adult tickets should equal 160, and your number of child tickets should equal 270.
Step-by-step explanation:
Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 48.3 ppm and a standard deviation of 8 ppm. The Environmental Protection Agency takes a random sample of 40 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 48.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate comp
Answer:
0.4364 = 43.64% probability that the disposal of such capacitors will be regulated.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes 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.
Mean of 48.3 ppm and a standard deviation of 8 ppm.
This means that [tex]\mu = 48.3, \sigma = 8[/tex]
Sample of 40:
This means that [tex]n = 40, s = \frac{8}{\sqrt{40}}[/tex]
Find the probability that the disposal of such capacitors will be regulated.
Sample mean above 48.5, which is 1 subtracted by the p-value of Z when X = 48.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{48.5 - 48.3}{\frac{8}{\sqrt{40}}}[/tex]
[tex]Z = 0.16[/tex]
[tex]Z = 0.16[/tex] has a p-value of 0.5636.
1 - 0.5636 = 0.4364
0.4364 = 43.64% probability that the disposal of such capacitors will be regulated.
Please Help uwu
Let f(x) = 4 - x^2 and g(x) = 2 - x. Find(f - g)(x)
Answer:
-x^2 +x +2
Step-by-step explanation:
f(x) = 4 - x^2 and g(x) = 2 - x
(f - g)(x) = 4 -x^2 - (2-x)
= 4 -x^2 - 2+x
= -x^2 +x +2
Find the missing measure for a right circular cone given the following information.
Find h if r = 5 and V = 100 pi.
4
12
30
Answer:
[tex]Volume = \frac{1}{3} \pi r^2 h \\\\r= 5\\Volume = 100\pi\\\\Find \ h.\\\\h = 3\frac{V}{\pi r^2} = 3 \times \frac{100 \pi}{\pi \times 5^2} = 3\times \frac{100}{25} = 3 \times 4 = 12[/tex]
a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?
what's the answer for this question
Answers:
A) 125 cm^3C) 20*1000 + 6*100 + 7======================================
Explanations:
The cube has all sides the same length (even if the diagram may not look like it). The volume is V = length*width*height = 5*5*5 = 125 cubic cm. The answer is choice A.The number is 20,607. The "20 thousand" portion can be written into 20*1000. Effectively, we have 20 copies of "1000" being added, so we can shorthand that into multiplication. The same idea applies to 6*100 which represents 600. Overall we can say 20,607 = 20*1000+6*100+7. The answer is choice C.Juan drank 3 quarts of water. Alfred drank 8 quarts. How many cups of water did they drink altogether?(no links will get brainliest)
Answer: 44 Us Cups
Step-by-step explanation:
The probability that Bob and Chris go to the movies is 0.35. The probability that Chris goes to the movies is 0.5. What is the probability that Bob goes to the movies given that Chris goes
Answer:
[tex]P(B/C)=0.7[/tex]
Step-by-step explanation:
From the question we are told that:
The probability that Bob and Chris go to the movies [tex]P(BnC)= 0.35.[/tex]
The probability that Chris goes to the movies [tex]P(C)= 0.5[/tex]
Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by
[tex]P(B/C)=\frac{ P(BnC)}{P(C)}[/tex]
Therefore
[tex]P(B/C)=\frac{0.35)}{0.5}[/tex]
[tex]P(B/C)=0.7[/tex]
3926 use each digit once, make the largest 4-digit number
Answer:
9632 is the largest number
PLEASE HELPPP i would really appreciate it :)
Answer:
Y = - 12.55X1 + 276.52
Step-by-step explanation:
Given the data:
Age of child :(X) : 4, 6, 10, 13, 14, 17
Time (seconds) (Y) : 230, 205, 132, 119, 108, 62
Using technology, the linear regression equation obtained using the data Given is :
Y = - 12.55X1 + 276.52
Where :
Slope = - 12.55
Intercept = 276.52
This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.
Based on a random sample of 1140 adults, the mean amount of sleep per night is 7.96 hours. Assuming the population standard deviation for the amount of sleep per night is 1.6 hours, construct 95% confidence interval for the mean amount of sleep per night.
a. (7.67, 8.05)
b. (7.87, 8.05)
c. (8.09, 9.12)
d. (7.87, 8.23)
Answer:
at 95% confidence interval, the mean amount of sleep per night is ( 7.87, 8.05 ).
Option b) (7.87, 8.05) is the correct answer.
Step-by-step explanation:
Given the data in the question;
sample size n = 1140
sample mean x" = 7.96
standard deviation σ = 1.6
At 95% confidence interval,
significance level ∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
Z-Critical [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.025[/tex] = 1.96
Top get the Margin of error E;
E = [tex]Z_{\alpha /2[/tex] × ( σ /√n )
we substitute
E = 1.96 × ( 1.6 /√1140 )
E = 0.09
So, At 95% confidence interval of the population mean is;
⇒ x" ± E
⇒ x" - E or x" + E
we substitute
⇒ 7.96 - 0.09, 7.96 + 0.09
⇒ 7.87, 8.05
Therefore, at 95% confidence interval, the mean amount of sleep per night is ( 7.87, 8.05 ).
Option b) (7.87, 8.05) is the correct answer.
If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
[tex]S = d^2\pi[/tex]
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Surface area decreases at a rate of 9 cm2/min
This means that [tex]\frac{dS}{dt} = -9[/tex]
At which the diameter decreases when the diameter is 10 cm?
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]
[tex]\frac{dd}{dt} = -0.143[/tex]
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
a rectangle has a base of 10 and height of 12 what is its area
Answer:
120 units squared
Step-by-step explanation:
Which of the following shapes are polygons with more than 444 sides?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Hexagon
(Choice B)
B
Pentagon
(Choice C)
C
Triangle
(Choice D)
D
Rectangle
Answer:
It's the hexagon and pentagon.
What is the area of the figure? Round to the nearest tenth.
3.5 cm
4 cm
A. 14.0 cm
B. 28.0 cm
C. 42.0 cm2
D. 56.0 cm
Answer:
14.0 cm its a
Step-by-step explanation:
If x=-4 what is the value of the following expression?
2x^2 +3x -2
18
12
-22
-46
Answer:
2x^2 +3x -2
18
12
-22
-46
Step-by-step explanation:
Which expressions are equivalent to -3(t - 7 + 5t + 8)?
Answer: It's B, C, F Hope it helps!
Step-by-step explanation: -3(t-7+5t+8) collect like terms -3(6t+1)
which would give you -18t-3
It C to because 1. expand by distributing terms -(18t+9)+6
2. Remove parentheses -18t-9+6
3. Collect like terms -18t+(-9+6) simplify and it would give you -18t+3 it also F because I collect like terms (-3t-15t)+(21-24) and you simplify and that would give you -18t-3 as well can you make me brainliest bye!
Someone, please help I will crown brainliest
Answer:
6
Step-by-step explanation:
Y=-x+7
Y=-1+7
Y=6
Match each tool with how we used it in class
Answer:
1 - b
2 - a
3 - c
Step-by-step explanation:
Find the sum of the first five terms of the geometric series 50 + 25 + 12.5 +
The sequence is geometric with first term
a
1
=
100
and common ratio
r
=
0.5
Explanation:
a
1
=
100
,
a
2
=
50
,
a
3
=
25
,
a
4
=
25
2
,
a
5
=
25
4
...
50
100
=
0.5
,
25
50
=
0.5
,
25
2
25
=
0.5
,
25
4
25
2
=
0.5
∴
a
2
a
1
=
a
3
a
2
=
a
4
a
3
=
a
5
a
4
=
0.5
The ratio of successive term and preceeding term is constant
(
r
=
0.5
)
. Therefore the sequence is geometric whose first
term is
a
1
=
100
and common ratio is
r
=
0.5
[Ans]
Someoneeeee help I don’t get it
Answer:
the answer is -2,9 lollololl
10 points! If correct you get brainliest.
Which one's apply?
Answer:
The answer is C and E
Step-by-step explanation:
Which expression represents the length of the hypotenuse, c, of the triangle below?
Pleaseeeeee I neeed helpppp
Answer:
C) [tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Step-by-step explanation:
The Pythagorean Theorem states that for a right triangle, the relationship between its three sides is [tex]a^{2} +b^{2} =c^{2}[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths and [tex]c[/tex] is the length of the hypotenuse. This means that the length of the hypotenuse is [tex]c=\sqrt{a^{2} +b^{2} }[/tex] by taking the square root of both sides to solve for [tex]c[/tex], making option C correct.
at a movie theater, the adult ticket price is $8 and the child ticket price is $6. For a certain movie, 200 tickets were sold and $1440 was collected. the equations a+c=200 and 8a+6c=1440 represent the situation. how many adult tickets were sold.