Step-by-step explanation:
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The probability is 1/3 that the number on the counter is not a multiple of three.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have to determine the probability that the number on the counter is not a multiple of three.
There are nine counters in a bag numbered from one to nine.
If a counter is drawn at random from the bag.
One to nine, there are three numbers are multiple of three that is (3, 6, 9)
Here favorable outcomes = 3
So the probability that the number on the counter is not a multiple of three as
⇒ 3/9
⇒ 1/3
Therefore, the probability is 1/3 that the number on the counter is not a multiple of three.
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The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.
x = (2x + 6) = 108
x = (2x - 6) = 108
2x = (x - 6) = 108
x = (x - 6) = 108
Answer:
4
Step-by-step explanation:
i think thats not my answer
Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT
Answer:
The margin of error is of 20, option B.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction between the bounds, divided by 2.
In this question:
Lower bound: 200
Upper bound: 240
Margin of error:
(240 - 200)/2 = 40/2 = 20
The margin of error is of 20, option B.
mZQRS = [?]
HELP PLEASE !!
Answer:
m∠QRS = 49°
Step-by-step explanation:
Complementary angles are angles that add up to 90°. So m∠ABC + m∠QRS = 90°. When you simplify you get 41° + m∠QRS = 90°. So m∠QRS = 49°.
the number of apples in a basket varies directly as the number of oranges. if a basket had 35 apples with 7 oranges, how many apples are there in a basket with 30 oranges?
Answer:
150
Step-by-step explanation:
35÷7=5 therefore each 5 apples is equal to 1 orange
Answer:
150
Step-by-step explanation:
we're gonna compare ratios. if the initial ratio is 35/7, then we will need to make a similar one for this question. with apples on top, we'll write 'x/30' and cross multiply and solve to get 150
a purchasing agent for kelly bread company wants to estimate the mean daily usage of rye flour. she takes a sample for 50 straight days and finds that the sample mean is 180 pounds with a sample standard deviation of 38.5 pounds. State the 90% confidence interval for the mean
Answer:
The 90% confidence interval for the mean is (170.87 , 189.13)
Step-by-step explanation:
Using the calculator we can easily calculate the 90% confidence interval for the mean, the given values are:
mean=180
sx : 38.5
n : 50
c - Level : 0.90
Then the output will be [170.87 , 189.13]
Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5
The equation of the line is ___
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
[tex]-3y=-4x+5[/tex] and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
[tex]y=\frac{4}{3}x-\frac{5}{3}[/tex] So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
[tex]y-5=-\frac{3}{4}(x-3)[/tex]* and
[tex]y-5=-\frac{3}{4}x+\frac{9}{4}[/tex] and
[tex]y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4}[/tex] so
[tex]y=-\frac{3}{4}x+\frac{29}{4}[/tex]** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
please answer both thanks
Answer:
Question 4 is B and Question 5 is C
Step-by-step explanation:
Question 4 is B because the DIFFERENCE between the two terms is 15 therefore when you subtract the terms it must equal 15 so B could no be an answer. Also since they both equal 24 they both add up to 24
Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for asparagus, B for bacon, P for pepperoni, I for Italian, and V for vinaigrette. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, asparagus. Also, you will add one of following meats: bacon, pepperoni. Lastly, you will decide on one of the following dressings: Italian, vinaigrette.
Answer:
MBI, MBV, ABV, ABI, MPI, MPV, APV, API
Write the word sentence as an inequality.
3.2 less than a number t is at most 7.5
t-3.2 ≤ 7.5
"at most" means less than or equal to
Given the statement “If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?
Answer:
"If the line has a slope that is not 0, then the the line is not horizontal".
Step-by-step explanation:
The contrapositive of "If p then q" is "If not q then not p".
p=a line is horizontal
not p= a line that is not horizontal
q=the line has a slope equal to zero
not q=the line has a slope that is not zero
The equivalent statement in contrapositive form is therefore:
"If the line has a slope that is not 0, then the the line is not horizontal".
Evaluate if k=4, m=-2, n=7, and p=-5.
5∣p∣+n
Answer:
32
Step-by-step explanation:
we substitute the values first
5 * (the absolute value of )-5) + 7
absolute value means neither the positive or negative value, so no signs before that number (the one your taking the absolute value of)
5*5+7
5*5 = 25
25+7 = 32
done!
A tank contains 36,864 L of water. At the end of each subsequent day, half of the water is removed and not replaced. How much water is left in the tank after 11 days
There is approximately L of water left in the tank.
(Round to the nearest whole number as needed.)
Answer:
18 L
Step-by-step explanation:
a = 36,864 * (1/2)^(11)
a = 18
36 L of water will be left after 11 days
What is an Geometric Progression(AP)?
GP is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number .
Constituting an GP according to the question
36,864 , 18432 , 9216 , ...........
In order to find nth term of an GP, formula used will be :
a(n) = a (r^(n-1))
considering above GP ,
a(n) = ? water left after 11 days
a = 36864
r= 18432 /36864 = 1/2
n = 11
a(n) = 36864 ((1/2)^(11-1))
a(n) = 36
Hence 36 L of water will be left after 11 days
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Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
(f - g)(x) and express the result in standard form.
Answer:
[tex](f-g)(x)=x^2-4x-21[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(x^2-3x-28)-(x-7)[/tex]
Distribute:
[tex]=x^2-3x-28-x+7[/tex]
Rearrange:
[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]
Hence:
[tex](f-g)(x)=x^2-4x-21[/tex]
The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 Assuming that the measurements represent a random sample from a normal population, find a 95% prediction interval for the drying time for the next trial of the paint.
Answer:
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Step-by-step explanation:
First we have to find the sample mean and the sample standard deviation.
We have 15 measurements. Using a calculator, the mean is [tex]\overline{x} = 3.79[/tex] and the standard deviation is of [tex]s = 0.97[/tex].
Now, we have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1448
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1448\frac{0.97}{\sqrt{15}} = 0.54[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3.79 - 0.54 = 3.25 hours
The upper end of the interval is the sample mean added to M. So it is 3.79 + 0.54 = 4.33 hours
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
Given tan theta =9, use trigonometric identities to find the exact value of each of the following:_______
a) sec sqr Theta
b) Cot theta
c) cot (pie/2-Theta)
d) csc sqr theta
Answer:
[tex](a)\ \sec^2(\theta) = 82[/tex]
[tex](b)\ \cot(\theta) = \frac{1}{9}[/tex]
[tex](c)\ \cot(\frac{\pi}{2} - \theta) = 9[/tex]
[tex](d)\ \csc^2(\theta) = \frac{82}{81}[/tex]
Step-by-step explanation:
Given
[tex]\tan(\theta) = 9[/tex]
Required
Solve (a) to (d)
Using tan formula, we have:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
This gives:
[tex]\frac{Opposite}{Adjacent} = 9[/tex]
Rewrite as:
[tex]\frac{Opposite}{Adjacent} = \frac{9}{1}[/tex]
Using a unit ratio;
[tex]Opposite = 9; Adjacent = 1[/tex]
Using Pythagoras theorem, we have:
[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]
[tex]Hypotenuse^2 = 9^2 + 1^2[/tex]
[tex]Hypotenuse^2 = 81 + 1[/tex]
[tex]Hypotenuse^2 = 82[/tex]
Take square roots of both sides
[tex]Hypotenuse =\sqrt{82}[/tex]
So, we have:
[tex]Opposite = 9; Adjacent = 1[/tex]
[tex]Hypotenuse =\sqrt{82}[/tex]
Solving (a):
[tex]\sec^2(\theta)[/tex]
This is calculated as:
[tex]\sec^2(\theta) = (\sec(\theta))^2[/tex]
[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]
Where:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(\theta) = \frac{1}{\sqrt{82}}[/tex]
So:
[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]
[tex]\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2[/tex]
[tex]\sec^2(\theta) = (\sqrt{82})^2[/tex]
[tex]\sec^2(\theta) = 82[/tex]
Solving (b):
[tex]\cot(\theta)[/tex]
This is calculated as:
[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]
Where:
[tex]\tan(\theta) = 9[/tex] ---- given
So:
[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]
[tex]\cot(\theta) = \frac{1}{9}[/tex]
Solving (c):
[tex]\cot(\frac{\pi}{2} - \theta)[/tex]
In trigonometry:
[tex]\cot(\frac{\pi}{2} - \theta) = \tan(\theta)[/tex]
Hence:
[tex]\cot(\frac{\pi}{2} - \theta) = 9[/tex]
Solving (d):
[tex]\csc^2(\theta)[/tex]
This is calculated as:
[tex]\csc^2(\theta) = (\csc(\theta))^2[/tex]
[tex]\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2[/tex]
Where:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(\theta) = \frac{9}{\sqrt{82}}[/tex]
So:
[tex]\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2[/tex]
[tex]\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2[/tex]
[tex]\csc^2(\theta) = \frac{82}{81}[/tex]
Solve 4(m-3)=24
Gggg
solution//
= 4(m-3) = 24
= 4m-12 = 24
= 4-12+12 = 24+12
= 4m = 36
= 4m = 36
4 4
= m = 9
Step-by-step explanation:
Thank you
[tex]\sf\purple{The\:value\:of\:m\:is\:9.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 \: (m - 3) = 24 \\ ⇝4 \: m - 12 = 24 \\ ⇝4 \: m = 24 + 12 \\ ⇝4 \: m = 36 \\ ⇝m = \frac{36}{4} \\ ⇝m = 9[/tex]
To verify:-
[tex]4(m - 3) = 24 \\ ⇝4(9 - 3) = 24 \\ ⇝4 \times 6 = 24 \\ ⇝24 = 24 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
Step-by-step explanation:
a)
The mean for ground floor is 20.67
The mean for balcony is 15.8
b)
the difference between the means is ground floor - balcony
20.67 - 15.8 = 4.87
You can talk about it yourself for part c
football team consists of 20 each freshman and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that.
a. All 4 are seniors.
b. There is 1 each: freshman, sophomore, junior, and senior.
c. There are 2 sophomores and 2 freshmen.
d. At least 1 of the students is a senior.
Answer:c
Step-by-step explanation:
c
What is the answer? The question is on the picture
9514 1404 393
Answer:
D. 32 square units
Step-by-step explanation:
At 40% scale, the length is ...
(20 units)×40% = 8 units
and the width is ...
(10 units)×40% = 4 units
The area is the product of length and width, so is ...
A = (8 units)(4 units) = 32 square units
BEDMASS or PADMASS solve this pls
Answer:
Step-by-step explanation:
376389546535150-540111-107525Get brainiest if right!!
3 hours after starting a trip, a driver increased his speed by 10
mph and arrived at his destination 11 hours after starting his
journey. If the distance traveled was 894 miles, find the original
speed of the driver.
what is the slope of the line that contains the points (-1,2) and (3,3)
Answer:
B
Step-by-step explanation:
Hi there!
We are given the points (-1,2) and (3,3) and we need to find the slope.
The formula for slope calculated from two points is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points
since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion
[tex]x_{1}[/tex]=-1
[tex]y_{1}[/tex]=2
[tex]x_{2}[/tex]=3
[tex]y_{2}[/tex]=3
now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.
m=[tex]\frac{3-2}{3--1}[/tex]
simplify
m=[tex]\frac{3-2}{3+1}[/tex]
m=[tex]\frac{1}{4}[/tex]
so B is your answer
Hope this helps! :)
5. There are 32 more pupils in the Robotics Club than in the Art club. The number of pupils
in the Robotics Club is 18 less than 3 times the number of pupils in the Art club. How
many pupils are there in the Robotics club?
Does anyone know the answer?
Answer:
lx-3l
Step-by-step explanation:
negative in the abs means moving to the right
=========================================================
Explanation:
We start with the parent function y = |x|
Shifting it 3 units to the right will make the equation y = |x-3| and that's the equation of the green curve shown.
The x-3 is because each input is 3 units smaller than it used to be. Imagine the xy axis moved 3 units to the left while the V shaped graph stayed fixed in place. It would give the illusion the V shape moved while the xy axis stay fixed.
The graph doesn't shift up or down, so k = 0
The value of 'a' stays the same at a = 1.
Need help with this please!
A total of 416 tickets were sold for a school play they were either tickets for adults tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold
Answer:
let the number of adult tickets = x
Then the number of student tickets = 3x
Total tickets x+3x = 416
4x = 416
x = 416/4
x = 104
Therefore the number of adult tickets sold is 104
Step-by-step explanation:
Which of the following is true about the US federal government’s ability to borrow money
What's the Error? Explain the error. Find the correct solution.
42-(-6)=-7
Answer: 42 -(-6)= 48
Step-by-step explanation:
a negative - a negative will always equal a positive
:)
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval
Answer:
Average rate of change = 5
Step-by-step explanation:
Average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Using this rule for the average rate of change of the function (defined by the table) over the interval 4 ≤ x ≤ 5,
Average rate of change = [tex]\frac{f(5)-f(4)}{5-4}[/tex]
From the table,
f(5) = 10
f(4) = 5
Therefore, average rate of change of the function = [tex]\frac{10-5}{5-4}[/tex]
= 5
Answer:
=5
Step-by-step explanation: