Question:
A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.
If there is more than one element in the set, separate them with commas.
Answer:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]Greater2 = \{3,4,5,6\}[/tex]
Step-by-step explanation:
Given
A roll of a 6 sided number cube
Solving (a): The sample space
This implies that we list out all number on the number cube.
So:
[tex]S = \{1,2,3,4,5,6\}[/tex]
Solving (b): Outcomes greater than 2
This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.
So:
[tex]Greater2 = \{3,4,5,6\}[/tex]
Help plss
2. This is Josh’s solution for the equation :
Is Josh’s solution correct? Explain.
Answer:
x = 7
Step-by-step explanation:
in Josh solution, the steps are correct till
(x-3)² = 16. After this
√(x-3)² = √16
x-3 = 4
x = 4+3 = 7
No, Josh is incorrect the roots of the quadratic equation are 19 & -13.
What is a quadratic equation ?An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.
Given that,
The quadratic equation,
x² - 6x - 7 = 0
we can calculate the roots of the equation by using the formula:
x = -b + √(b² - 4ac) / 2a
In the given equation,
a = 1
b = -6
c = -7
x = -(-6) + √((-6)² - 4x1x(-7)) / 2
= (6 + 8)/ 2
x = 7, -1
Hence, Josh's solution is not correct.
To know more about quadratic equation check:
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Help!! I am no good in math..
Answer:
80/100 is 0.8
Step-by-step explanation:
sorry if I'm wrong
PLEASE HELPPP ILL GIVE BRAINLYIST IF SOMEONE HELPS!
Answer:
7
Step-by-step explanation:
area of parallelogram = l* h
91 = 13 * h
91/13 = h = 7 cm
Answer:
I believe it is 7
Step-by-step explanation:
area is length times width, so if you do opposite equations, and divide 91 by 13, that will be your answer. 7.
what is the slope of any line parallel to the line 9x+4y=7?
Answer:
-9/4
Step-by-step explanation:
First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.
Solve the proportion.
4
y
=
7
?
y =
Answer:
y=28/5
Step-by-step explanation:
Okay so for this we can use cross- multiplication. Basically, the product of the numerator of the first number and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second.
What I mean is: 4*7=5*y
so,
28=5y
y=28/5
The monthly cost for 46 minutes of calls is 12.75. What is the monthly cost for 52 minutes of calls?
Answer:
$14.41
Step-by-step explanation:
set up a proportion then cross-multiply:
12.75 / 46 = x / 52
46x = 663
x = 14.41
i will give brainliest if you answer this simple question.
if you have 5 candy bars in a bowl and take out 3 how many do you have now?
Answer:
2
Step-by-step explanation:
5-3=2 you subtract to get the answer
Answer:
2 in the bowl and 3 in the hand
Step-by-step explanation:
The final answer could be anywhere between 2 and 5 depending on what you did with the candy once it was taken out of the bowl. But, the most obvious answer would be 2 left and 3 technicallly gone
Commute times in the U.S. are heavily skewed to the right. We select a
Type numbers in the boxes.
random sample of 220 people from the 2000 U.S. Census who reported a non- 10 points
zero commute time.
In this sample the mean commute time is 28.3 minutes with a standard deviation of 19.2 minutes.
Can we conclude from this data that the mean commute time in the U.S. is less than half an hour?
Conduct a hypothesis test at the 5% level of significance.
What is the p-value for this hypothesis test?
Your answer should be rounded to 4 decimal places.
Help me please!!!!
10. The table shows the change in your hair length over a year.
January
February
August
September
December
Month
Change in hair
length (inches)
2
-1
3
4
3
a. What is the total change in your hair length at the end of the year?
b. Is your hair longer in January or December? Explain your reasoning.
c. When is your hair the longest? Explain your reasoning.
Answer:
3
December. total change in December is greater than change in January. 3 is greater than 2
August. the total change in hair growth is 4.
Step-by-step explanation:
total change in hair length = 2 - 1 + 3 - 4 + 3 = 3
My hair is longer in January .
total change in hair length in February = 2 -1 = 1
total change in hair length in August = 1 + 3 = 4
total change in hair length in September = 4 - 4 = 0
total change in hair length in December = 0 + 3 = 3
My hair is the longest in August because that is the month that has the highest change in hair length
What is the median temperature
Answer:
88
Step-by-step explanation:
88 is the middle number all other numbers are either greater or smaller
they all revolve around the two numbers 88 and 88 when they are added together and divided by two it equals 88
Which equation has the same solution as
1/2 (4x-1/3) +2/3x=3 (x-1/6)
Answer:
You would have to add the options.
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!!!!!!
Answer:
11,401 I think!!! if not please say
PLEASE ANSWER ASAP!!!!!BRAINLIEST!!!!!!
( -2) + (+8) =
( -9) + ( -7) =
( -4) + ( -9) =
(-7) + (+7) =
Answer:
6
-16
-5
0
Step-by-step explanation:
Step-by-step explanation:
(-2) + (+8) = 6
(-9) + (-7) = -16
(-4) + (-9) = -5
(-7) + (+7) = 0
A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0414% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
Answer: (0.00027144, 0.00036176)
Step-by-step explanation:
The sample proportion of cell phone users who develop cancer of the brain or nervous system = [tex]\dfrac{133}{420027}=0.0003166[/tex]
Sample size : 420027
Confidence interval for p: [tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion , n= sample size , z* = crirical z value.
For 90% confidence interval , z*= 1.645
Required confidence interval:
[tex]0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)[/tex]
A 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144, 0.00036176)
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
11 yd
13 yd
4 yd
6 yd
Answer:
34 yd²
Step-by-step explanation:
Area of the shaded region = area of the outer rectangle - area of the inner rectangle
Area of outer rectangle = L*W = 13*6 = 78 yd²
Area of inner rectangle = L*W = 11*4 = 44 yd²
Area of the shaded region = 78 - 44 = 34 yd²
f(x) = x^2 is stretched vertically by a factor of 4 and shifted 1 unit down.
equation = ???
Answer:
f(x) = 4x² - 1
Step-by-step explanation:
The given function is; f(x) = x²
Now, when stretched vertically by a factor of 4, we have;
f(x) = 4x²
It's now shifted 1 unit down.. Thus, the final function will be;
f(x) = 4x² - 1
Sam loaned $8,000 to his brother to make a down payment on a new home. Three
years later, he paid her back the $8,000 along with an interest of $900. If the
interest that was collected was simple interest, what was the annual interest rate?
Round answer to two decimal places.
I need help this one someone please I will Mark someone brainliest and if you post any links I will report you.
Answer:
$1,200 interest.
Step-by-step explanation:
To use the simple interest formula, I = Prt, we substitute in the values for variables that are given, ... Do you know that banks pay you to let them keep your money? ... Find the rate if a principal of $9,000 earned $1,755 interest in 3 years. ... Five years later, she paid him back the $8,000, plus $1,200 interest.
What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain and use the properties of the types of quadrilaterals as proofs.
Answer:
The quadrilateral ABCD is a square.
Step-by-step explanation:
According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that [tex]x = 7[/tex], [tex]AB = 4\cdot x - 2[/tex], [tex]BC = 2\cdot x + 12[/tex], [tex]DC = 3\cdot x +5[/tex], [tex]AD = 6\cdot x -16[/tex], [tex]AC = 4\cdot x + 12[/tex] and [tex]DB = 8\cdot x -10[/tex], the lengths of each line segment are respectively:
Sides
[tex]AB = 4\cdot (7) -2[/tex]
[tex]AB = 26[/tex]
[tex]BC = 2\cdot (7) +12[/tex]
[tex]BC = 26[/tex]
[tex]DC = 3\cdot (7) +5[/tex]
[tex]DC = 26[/tex]
[tex]AD = 6\cdot (7) -16[/tex]
[tex]AD = 26[/tex]
Diagonals
[tex]AC = 4\cdot (7) +12[/tex]
[tex]AC = 40[/tex]
[tex]DB = 8\cdot (7) - 10[/tex]
[tex]DB = 40[/tex]
This information indicates that this quadrilateral is a square because of these characteristics:
1) All sides have the same length.
2) The ratio of any diagonal to any side is [tex]\sqrt{2}[/tex].
Area of Composed figures
PLEASEEE RN
Answer:
33 ft²
Step-by-step explanation:
The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle
✔️Area of trapezoid = ½(a + b)h
Where,
a = 6 ft
b = 3 ft
h = 11 - 9 = 2 ft
Area of trapezoid = ½(6 + 3)*2 = 9 ft²
✔️Area of rectangle = L*W = 7 *3 = 21 ft²
✔️Area of triangle = ½bh
b = 2 ft
h = 3 ft
Area = ½*2*3 = 3 ft²
✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²
How many unique triangles can be drawn side lengths of 2 inches and 4 inches. With an angle of 40degrees between given sides
Answer:
hope it help mark me as a brill
Step-by-step explanation:
Hello it would be 3 squares
The answer is 1
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!
angle c=180-44-62=74 degrees
angle d=angle c=74 degrees
angle f=180-74-50=56 degrees
hope it helps:))
Answer:
C) 74°
D) 74°
F) 56°
Step-by-step explanation:
I assume you’re supposed to find the other three angle measurements.
C) 180-44-62=74
D) 74
F) 180-74-50=56
find the missing side of each triangle
• Hypotenuse (H) = 15 in
• Base (B) = 12 in
To calculate :• Perpendicular (P) [x]
Calculation :By using pythagoras property,
[tex] \longmapsto \sf { H^2 =B^2 + P^2 } [/tex]
[tex] \longmapsto \sf { (15)^2 =(12)^2 +(x)^2 } [/tex]
[tex] \longmapsto \sf { x^2 = (15)^2 - (12)^2 } [/tex]
[tex] \longmapsto \sf { x^2 = 225 - 144 } [/tex]
[tex] \longmapsto \sf { x^2 = 81 } [/tex]
[tex] \longmapsto \sf { x = \sqrt{81} } [/tex]
[tex] \longmapsto \sf \red { x = 9 \: in} [/tex]
So, the value of x (perpendicular) is 9 in.
pleaseee!! ur help means a lot
Answer:
just use scan your question with camera. the problem is in brainly already. :)
Yo can y'all help a brother out trying to pass.
First image is the answer choices for all the questions
Second Image is the questions.
Answer:
P' (-1,-4) N'(-5,0) U'(-2,1)
Step-by-step explanation:
Help me please!!!! I really need this answer quickly
Answer:
X = 22
Step-by-step explanation:
This is a right triangle which means the angles add up to 90° total. So if 1 side is 15 and another side is 53 then 15 + 53 = 68 and 90 - 68 = 22 so X = 22 which is the missing side.
3^-3 simplify the expression
Answer:
.037037037
Step-by-step explanation:
Answer:
1/1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 3 is 3.
3 ÷ 33 ÷ 3.
Reduced fraction: 11. Therefore, 3/3 simplified to lowest terms is 1/1.
Farrah works in a jewelry store and receives 12% commission when she makes a sale. How much commission will she receive for selling a $7,475 ring?
Answer:
$897
Step-by-step explanation:
12/100x7475/1=897
the sum of two numbers is 65 and the difference is 41
Answer:
12 and 53
Step-by-step explanation:
let 'x' = one number
let 'y' = other number
System of Equations:
x + y = 65
x - y = 41
Substitution Method:
x = 41 + y
41 + y + y = 65
2y = 24
y = 12
x + 12 = 65
x = 53
Draw regular polygons with the given number of sides. Then find the measure of one interior and exterior angle in each polygon. (For the drawing of regular polygons use bond paper or pad paper)
Measure of Interior /s Measure of Exterior /s
1. 4 sides __________________ _________________
2. 5 sides __________________ _________________
3. 8 sides __________________ _________________
4. 10 sides __________________ _________________
5. 12 sides __________________ _________________
pa help po ako
Answer:
1) 90 90
2) 108 72
3) 135 45
4) 144 36
5) 150 30
67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.