A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids selected. What is the size of the same space
Answer:
[tex]S= 4[/tex]
Step-by-step explanation:
Given
[tex]Total = 20[/tex]
[tex]Selection = 5[/tex]
Required
Determine the size of sample space
Represent this with S
S is calculated by dividing the total number of kids by the number of selection.
[tex]S = \frac{Total}{Selection}[/tex]
[tex]S = \frac{20}{5}[/tex]
[tex]S= 4[/tex]
Hence, the sample space has a size of 4
How do I write 55555 in expanded form
Answer:
FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE
Step-by-step explanation:
in the term 4p, the variable p is raised to the power of 0 or 1 ?
Answer:
1
Step-by-step explanation:
anything raised to the power of 0 would equal 1 and p doesn't equal 1 here.
Answer:
4 or 0
Step-by-step explanation:
well if the variable p became 0 the term 4p would look more like this 4(0) or 4 * 0 making the answer be 0
If the variable was changed into 1 the term 4p would become 4(1) or 4 * 1 as of such the answer would be 4.
now if you are raising p to a 0 so the term is more like this: 4p to the power of 0 then your answer would be 1. Because p would change to 0.
Now if you had 4p to the raised power of 1 then your answer would be 4 because p was changed to a 4.
I hope this answers your question.
What is the exact value of cos(c + d), given sinc =24/25 for c in Quadrant II and cos d =-3/4 for d in Quadrant III?
-47/100
-1 3/100
21-24squareroot7/100
21
=24squareroot7/100
Of the numbers 7, 8, 9, and 10, which is a solution to the inequality n – 5 < 3? Hurry Plz
Answer:
Answer of this question is 10
How many electrons are in the nucleus of an atom with an atomic number of 7?
An outlet store had monthly sales of $73,000 and spent 8% of it on health insurance.
How much was spent on health insurance?
1. We assume, that the number 73000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 73000 is 100%, so we can write it down as 73000=100%.
4. We know, that x is 8% of the output value, so we can write it down as x=8%.
5. Now we have two simple equations:
1) 73000=100%
2) x=8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
73000/x=100%/8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 8% of 73000
73000/x=100/8
(73000/x)*x=(100/8)*x - we multiply both sides of the equation by x
73000=12.5*x - we divide both sides of the equation by (12.5) to get x
73000/12.5=x
5840=x
x=5840
now we have:
8% of 73000=5840
How much was spent on health insurance is $5,840
Using this formula
Amount spent=Monthly Sales× Health insurance percentage
Where:
Monthly Sales =$73,000
Health insurance percentage=8%
Let plug in the formula
Amount spent=$73,000×8%
Amount spent=$5,840
Inconclusion How much was spent on health insurance is $5,840
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A line has a y-intercept at (0,4) and an x-intercept at (6,0). What is the slope of the line
Answer:
-2/3
Step-by-step explanation:
Rise: 4
Run: -6
Slope = Rise over run
Slope = 4 / -6
4 / -6 = -2/3
Find the equation of the line
passing through the points (3,1) and (7,-7)
Answer:
y = -2x+7
Step-by-step explanation:
equation of line formula:
[tex]y = mx + c[/tex]
m = slope, c = y-intercept
1) find the slope using the given coordinates
slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
i) (3,1)
x1=3
y1=1
ii) (7,-7)
x2=7
y2=-7
substitute the values into the formula
[tex]m = \frac{ - 7 - 1}{7 - 3} [/tex]
[tex]m = \frac{ - 8}{4} [/tex]
[tex]m = - 2[/tex]
so now half of the equation is complete as we have the the value of m. substitute the value of m into the slope formula.
[tex]y = - 2x + c[/tex]
2) find the value of c
to find the value of c, we must substitute either coordinate into the half equation. so, i choose the coordinate (3,1). if you substitute the coordinate (7,-7) , you will get the same value of c.
(3,1)
x = 3
y = 1
[tex]y = - 2x + c[/tex]
[tex]1 = - 2(3) + c[/tex]
[tex]1 = - 6 + c[/tex]
[tex]1 + 6 = c[/tex]
[tex]c = 7[/tex]
substitute the value of c into the half equation and that is your straight line equation
[tex]y = - 2x + 7[/tex]
Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple optimal solutions no solution, since it is infeasible no best solution, since it is unbounded None of the above
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In this question, some of the data is missing, that's why this question can be defined as follows:
It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.
When there is Just one perfect solution(optimal solution) then the equation is:
[tex]Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0[/tex]
When there are Several perfect solutions then the equation is:
[tex]Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0[/tex]
When there is also no solution, since it is unlikely then the equation is:
[tex]Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0[/tex]
When there is no best solution since it is unbounded then the equation is:
[tex]Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\[/tex]
An album download costs $18. What is the total cost of the album if they must pay a 6.25% sales tax?
What type of triangle has angle measures of 74°, 90°, and 16°?
What is the constant of proportionality that relates y, the total cost in
dollars, to x, the number of tickets purchased>
Shelton mixed cups of purple cabbage and cups of lettuce to make a big salad. Each day he eats of a cup of salad. Which expression shows how many servings of salad Shelton has?
Answer:
1/4 times 3/8= 3/4
Step-by-step explanation: or 0.09375 please mark me brainlest if its wrong so sorry
Answer:
(1 1/4 + 2 3/8) divided by 3/4
Step-by-step explanation:
This was the correct answer after I went back and checked for the correct answers after I turned in the assignment. Hope this helps!
The IQ scores of the middle 50% of a population can be written as
I
100
15
where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
x 270 and x s 130
Ox570 and x 2 130
Oxs 90 and x 2 110
x 290 and x s 110
Complete question :
The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3
Answer: 90 ≤ x ≤ 110
Oxs 90 and x 2 110
Step-by-step explanation:
Given the inequality:
The middle 50% of the population :
(x - 100) / 15 ≤ 2/3
The upper bound :
(x - 100) / 15 ≤ 2/3
multiply both sides by 15
(x - 100) / 15 * 15 ≤ 2/3 * 15
(x - 100) ≤ 2/3 * 15
x - 100 ≤ 10
x ≤ 10 + 100
x ≤ 110
The lower bound :
- (x - 100) / 15 ≤ 2/3
(-x + 100) / 15 ≤ 2/3
multiply both sides by 15
(-x + 100) / 15 * 15 ≤ 2/3 * 15
(-x + 100) ≤ 2/3 * 15
-x + 100 ≤ 10
-x ≤ 10 - 100
-x ≤ - 90
x ≤ 90
90 ≤ x ≤ 110
Dhaulagiri is the 7th highest mountain in the world. Ms. Fink is walking through
the Hidden Valley, preparing for an ascent of the mountain. She looks up to the
mountain and measures the angle of elevation to be 47.3° and she knows she is
at an altitude of 4900m. She hikes 1000m closer to the mountain with no
elevation change and notes the angle of elevation to be 58.5°. How high above
sea level is Dhaulagiri?
Answer:
4833 m
Step-by-step explanation:
Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m
We use Pythagoras Theorem to get this done
We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top
Using the sine angle rule, we have
Sine 47.3 = 4900 / h
h = 4900 / sin 47.3
h = 4900 / 0.7349
h = 6668 m
This means that she was 6668 m away from the top of the mountain
She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000
Using the same sine angle rule, we have
Sine 58.5 = o / 5668
o = 5668 * sine 58.5
o = 5668 * 0.8526
o = 4833 m
She is 4833 m above the sea level
Identify the pairs of alternate exterior angles in the given figure.
Question 14 options:
A)
∠3 and ∠6; ∠4 and ∠5
B)
∠2 and ∠7; ∠1 and ∠8
C)
∠3 and ∠5; ∠4 and ∠6
D)
∠1 and ∠7; ∠2 and ∠8
Answer: Choice D
Angle 1 and angle 7Angle 2 and angle 8=========================================================
Explanation:
The angles 3,4,5,6 are all considered interior angles because they are inside or between the parallel lines.
The remaining angles 1,2,7,8 are exterior angles as they outside the parallel lines. You can think of angles 3,4,5,6 being in the river or a road, while the other angles are on the sidewalk or the shoreline.
Alternating angles are ones that are on either side of the transversal cut.
Combining the two ideas leads to alternate exterior angles being outside the parallel lines and on either side of the transversal. This applies to the following pairs:
angle 1 and angle 7angle 2 and angle 8This is why choice D is the answer.
Which expression is equivalent to
128x5y8
?
Answer:
Step-by-step explanation:
Next time please include the answer choices.
128x^5*y^8 is equivalent to (2^7)*x^5*y^8
COLOR THEME
O Q ZOOM
5. Mrs. All collected notebook paper from her students at the beginning of the
school year. The model is shaded to show the fraction of notebook paper
that Mrs. Ali used in each of the following three months.
First month
Second month
Third month
What fraction of the notebook paper Mrs. All collected was used during
these three months?
Answer:
6
Step-by-step explanation:
2) If one variable increases in value and the other variable decreases in value, the variables have a(n) ________ relationship.
direct
inverse
undefined
Answer:
inverse
Step-by-step explanation:
If one variable increases in value and the other variable decreases in value, the variables have a(n) inverse relationship. Option B is correct.
Given that,
A statement " If one variable increases in value and the other variable decreases in value, the variables have a(n) ________ relationship." is given blank space to fill in the state from the option given.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Here, when two variable are proportional to each other,
Case 1
The value of one variable increases as the value of another variable variable are directly proportional to each other
Case 2
The value of one variable decreases as the value of another variable increase implies variables are inversely proportional to each other.
Thus, If one variable increases in value and the other variable decreases in value, the variables have a(n) inverse relationship. Option B is correct.
Learn more about proportionality here:
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which rule describe the following pattern 8,4,10,6,12,8,14
does anyone understand this
For this problem, 0.25 in = 50 m. So
11 in = (11 in) • (50/0.25 m/in) = 2200 m
Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.
What is true about the angles in the diagram show below?
Please Help!
Answer:
1) 30
2) 60
Step-by-step explanation:
1. 90 + 2x + x = 180
solve for x
x = 30
plug in 30 for x
hope this helps. I am in algebra two so you can trust my answer. Happy holidays stay safe
Help pls :))))))))))))))
Answer:left is 7 right is 6
Step-by-step explanation:
left is 7 right is 6
Answer:
the right side is 6 and the left side is 7
Step-by-step explanation:
These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.
A consultant charges $20 for each hour she works on a consultation, plus a
flat $40 consulting fee. How many hours of work are included in a $200 bill
for a consultation?
PLZ HURRY IT'S URGENT!!!
Which combinations satisfy the situation in the graph?
(It's multiple choice you can select more than one answer)
options:
4 pounds of apples and 4 pounds of oranges
7 pounds of apples and 8 pounds of oranges
3 pounds of apples and 2 pounds of oranges
6 pounds of apples and 5 pounds of oranges
Answer:
Option 1 and 3
Step-by-step explanation:
jdnfkfnkdksnd
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!!!
Which number line shows the solutions to n > -2?
Joey plans to joh 6 miles to the store. He can jog at a constant rate of 1/2 of a mile every 1/4 of an hour. Jow many hours will it take him to get to the store?
Answer:
It should take Joey 3 hours to jog to the store.
Step-by-step explanation:
1,000,000,000,000 multiplyed by 0.60
answer this and ill make you brainliest
Answer:
600000000000
Step-by-step explanation:
Step-by-step explanation:
600,000,000,000
hope it helps!
in right triangle RST altitude TV is drawn to hypotenuse RS If RV = 12 and RT = 18, what is the length of SV
Answer:
12
Step-by-step explanation:
Given that:
RV = 12 and RT = 18
Kindly refer to attachment for triangle diagram:
Using the altitude on hypotenus theorem :
Length of RS = 12 + a
RT² = RV * RS
18² = 12 * (12 + a)
324 = 12(12 + a)
324 = 144 + 12a
324 - 144 = 12a
180 = 12a
Divide both sides by 12
180/12 = a
15 = a
Hence, SV = 12