Answer:
[tex]sum \: = (x + 1) + (2x + 1) + (x + 7) + (3x + 4) \\ = 7x + 13 \\ median = ( \frac{sum}{2} + 1) \\ 16 = ( \frac{7x + 13}{2} + 1) \\ 7x + 13 = 14 \\ 7x = 1 \\ x = \frac{1}{7} [/tex]
1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green
ball, is this considered a dependent or independent event?
Answer:
Dependent Event
Step-by-step explanation:
Assume that are 10 balls, such that:
[tex]Red = 6[/tex]
[tex]Green = 4[/tex]
If the balls are replaced after taken, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 4/10[/tex]
This is referred to as independent event; because each selection do not affect the next or previous selection
However, if the balls are not replaced, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 5/(10 - 1) = 5/9[/tex]
We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.
This is referred to as independent event; because a selection affects the next selection
Find the sum of−3x^2
Answer:
[tex]x+y=2[/tex]
[tex]y=-x+2[/tex]
[tex]slope (m)=-1[/tex]
[tex]slope ~of ~perpenddicular ~line:-[/tex]
[tex]-1/m_{2}[/tex]
[tex]\frac{-1}{-1} =1[/tex]
------------------------
hope it helps...
have a great day!
which expressions are equivalent to 4-3 over 4-1
Answer:
B
cause when dividing you are subtracting the exponents
so it 4^-3+1 = 4^-2
you shouldnt have negative exponents
so you flip it, which become 1/4^2
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
Find the measure of the exterior angle.
Answer:
33+x+18=2x+3
51+x=2x+3
51-3=2x-x
48=x
Step-by-step explanation:
2x+3
2*48+3
96+3
99
At a restaurant grand opening, a giant sandwich that was 352 centimeters long was divided equally among 22 people. Clyde got one of the pieces, ate half, and saved half for later. Which equation can we use to estimate the length of the piece of sandwich Clyde saved?
Answer:
8 cm
Step-by-step explanation:
You neglected to include any equations
Here is one way to solve:
length of each piece
352/22 = 16
Half a piece
16/2 = 8
Choice C
352/22/2 = l
Answer:
352 ➗ 22 ➗ 2 = l
Step-by-step explanation:
What is the mode of this data set?
12, 12, 13, 14, 17, 16
Answer:
Mode = 12
Step-by-step explanation:
If you need--
Median-13.5
Mean-14
Answer:
12
Step-by-step explanation:
the mode is the number that is the most in fashion
here 12 appears the most
please find the volume of the cone!!
[tex]volume = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Plugging in our values,
[tex]volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\ [/tex]
So the answer is,
[tex]2.095{m}^{3} [/tex]
a book had a sale and it was 20% off. the price now is $7.00. What was the original price?
show work
Answer:
List Price = $ 8.75
Discount Amount = $ 1.75
agles
1. Find the measure of arc ABC
110 °
Answer:
Arc ABC = 250°
Step-by-step explanation:
m<AOB = 110° (given)
Based on the central angle theorem, central angle m<AOB equals the intercepted arc AB
Therefore,
m<AOB = measure of arc AB = 110°
Thus:
Arc ABC = 360° - arc AB (Full circle = 360°)
Arc ABC = 360° - 110°
Arc ABC = 250°
Which values make this inequality true?
Answer:
2
Step-by-step explanation:
2-2=4 which is equal to 4
What's the answer to
"find the value of
√121 + 3√125" "?
Answer:
11+15√5
Step-by-step explanation:
mat.hway
PLZ HELP
In ⊙C, DE ≅ FG, Which statement must be true? Select all that apply.
Answer:
E because is covered all angle
< DCE ≅ < GCF must be true
Hence Option A and E are true statements.
What are angles of circle?A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around. In that case, the sector has 1/6 the area of the whole circle.
According to the given figure:
DE ≅ FG
So < DCE ≅ < GCF must be true
Because DE ≅ FG
< DCE ≅ <GCF is similar to DE ≅ FG
Hence, < DCE ≅ < GCF must be true
Hence Option A and E are true statements.
Learn more about angles of circle here
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solve for X. Assume that lines which appear tangent are tangent
Answer:
C
Step-by-step explanation:
helppp pleaseee:(im failing
Answer:
1.o5 I fell i I'm in heven
Review the graph of function f(x). On a coordinate plane, a curve starts at closed circle (negative 2, 2), curves down to (negative 1, 1), and curves up through (0, 2) to closed circle (3, 6). Using the extreme value theorem, what are the minimum and maximum values of f(x)? minimum value = 1; maximum value = 6 minimum value = 2; maximum value = 6 minimum value = –1; maximum value = 3 minimum value = –2; maximum value = 3
Answer:
A. minimum value = 1; maximum value = 6
Step-by-step explanation:
Correct on Edge 2021
Find the range of the data set: 400, 340, 870, 400
Answer:
530 870-340=530
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
Range means when you do the highest number takeaway from the smallest number.
870-340=530.
hope this helps,have a great day!!
~Pinky~
helppppppppppppp pla
Answer:
20 X 6 would be the answer.
19.05 divided by N = 12.7
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
if the probability of rain tomorrow is 0.15 what is the probability that it will not rain
Answer:
85% or 99.85%
Step-by-step explanation:
If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.
If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.
2. Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?
Answer:
sefsefff
Step-by-step explanation:
Writing a linear equations
Answer:
y = 1/2 x - 2
Step-by-step explanation:
The standard linear equationof a line is expressed as y = mx+b
Using the coordinate points (0, -2) and (2, -1)
Slope m = -1-(-2)/2-0
m = -1+2/2
m = 1/2
Since the line cuts the y axis sat y = -2, hence the intercept b = -2
Get the required equation;
Recall that y = mx+b
y = 1/2 x + (-2)
y = 1/2 x - 2
This give the required linear equation
What is the inequality 3 - 2x > 5 is equivalent to?
Answer:
-2x > 2
x < -1
Step-by-step explanation:
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape of the cross
section formed?
In parallelogram MNPT, IZM= (6x + 10)° and
mZN= (5x + 10.5)° . How many degrees is ZT?
Answer:
83 degrees
Step-by-step explanation:
We can use the consecutive angle theorem to find the the value of x.
We can do that by doing 5x+10.5+6x+10 = 180
After simplifying, we get 11x+20.5=180
Subtract 20.5 on both sides and you get 11x=159.5.
Divide by 11 on both sides and you get x=14.5
Now we can use opposite angle theorem and set angle N and angle T equal.
That means we could write 5x+10.5 = m<T
We can substitute 14.5 for x and we get 72.5+10.5 = m<T
Simplify and you get 83 = m<T
----------------------------------------------
Hope this helps!
A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
$2655 + $324d
Step-by-step explanation:
total cost of a booth = fixed cost + (variable cost x number of days)
Fixed costs are costs that do not vary with output
Variable costs are costs that vary with production
cost of 18 food booths = 18(50 + 6d) = 900 + 108d
cost of 27 game booths = 27(65 + 8d) = 1755 + 216d
Add the total cost of the food and game booths together 900 + 1755 = 2655
108d + 216d = 324d
achel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that onennumber cube lands on a 1 and the other lands on an even?
Answer:
immma send you the link friend me on here
Step-by-step explanation:
Write an explicit formula for the following sequence. Find the fifteenth term.
10, 11, 12, 13, 14, ...
Answer:
Tn=n+9
Step-by-step explanation:
Tn=n+9
T15=15+9
T15=24
fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years
Answer:
A = $20,940
Step-by-step explanation:
Interest = Principal x Rate x Time
I = prt
I = 15000(.018)(22)
I = 5940
Interest = $5,940
Total Amount = Principal + Interest
A = P + I
A = 15000 + 5940
A = 20940
The mean age of 5 women in an office is 23 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
23
Step-by-step explanation:
Women total age = 5 x 23 = 115
Men total age = 3 x 24 = 72
The mean age of all the people
= (115+72)÷(8)
= 23.375
= 23 (nearest year)
The mean age (nearest year) of all the people in the office is 23
How to determine the mean age?The given parameters are:
5 women = 23 years
3 men = 24 years
Mean is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]
Evaluate the quotient
[tex]\bar x = 23[/tex]
Hence, the mean age (nearest year) of all the people in the office is 23
Read more about mean at:
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For each set of angles or sides lengths, determine whether they could form a unique triangle, more than one triangle, or no triangle.
5 cm, 10 cm, 12 cm
8 ft, 12 ft, 20 ft
40°, 50°, 80°
28°, 51°, 101°
Answer: They can form one triangle.
Step-by-step explanation: Since all triangle must have 180 degrees, there’s only one set of degrees that sum up to 180.
28+51+101=180
I’m sorry, but the feet/centimeters part you have to solve on your own. Remember, this is a learning community! No stress :) I can guarantee you won’t get it wrong though.
There’s many different triangles, and I’m sure from these feet/centimeters you can make at least one of the listed: Scalene (none of the sides are equal), isosceles (only 2 sides are equal) or equilateral triangle (all sides are equal). There’s also right triangles (which are triangles with one right angle also known as 90 degrees) that are either isosceles or scalene or both! Try your best and remember, no stress :)