Answer: Both in favor and against: 3/6 OR 1/2 OR 50%.
Step-by-step explanation: Both in favor and against: 3/6 OR 1/2 OR 50%.
The probability of rolling one die and getting any digit is [tex]\frac{1}{6}[/tex]. That is because the desired outcome is only 1 digit out of the 6 total digits on each of the six sides.
That means the probability of rolling either a 1, a 2, or a 4 if you are looking for any of those numbers specifically, is [tex]\frac{1}{6}[/tex]. But! You are looking to roll a 1, a 2, or a 4, without any preference among those three. Therefore, you are going to add the desired outcomes.
[tex]\frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}[/tex] = 0.5 = 50%
Above, are added the probability of rolling a 1 PLUS the probability of rolling a 2 PLUS the probability of rolling a 4, yielding a 50% probability.
Think about it. There are six total digits on a die. You are okay with rolling three of those. Three is half of six. Therefore, the probability of rolling the number you'd like is one-half, fifty-percent.
Likewise, since the probability of all complement events happening is 1 (or 100%), The odds against rolling either 1, 2, or 4 is also fifty-percent. 100% (which is rolling any number on a die) MINUS 50% (which is rolling a 1, a 2, or a 4 with no preference) EQUALS TO 50% (which is rolling a 3, a 5, or a 6).
solve x^2+5x-2=0 Enter your answers,as exact values, in the boxes.
Answer:
√33
x = -5/2 ± ---------
2
Step-by-step explanation:
Through completing the square, we get:
x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or
(x + 5/2)^2 - 25/4 - 2 = 0.
This simplifies to
(x + 5/2)^2 = 33/4
Taking the square root of both sides yields:
x + 5/2 = ±√(33/4), which can be solved explicityl for x:
√33
x = -5/2 ± ---------
2
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height Use the Pythagorean theorem to calculate the length of the diagonal of the trunk.
Answer:
The length of the diagonal of the trunk is 56.356011 inches
Step-by-step explanation:
According to the given data we have the following:
height of the trunk= 26 inches
length of the trunk= 50 inches
According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:
length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)
Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)
length of the diagonal of the trunk=√3176
length of the diagonal of the trunk=56.356011
The length of the diagonal of the trunk is 56.356011 inches
HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?
Answer:
1/2 (or) 0.50 (or) 50%
Step-by-step explanation:
10 out of 20 wedges are worth more than 10.
10/20 = 1/2 (or) 0.50 (or) 50%
Answer:
0.75
Step-by-step explanation:
The pair of points is on the graph of an inverse variation. Find the missing value.
(5, 4) and (x, 7)
Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
convert it into the equation 5=k/4
so 5x4 is 20
k=20
then x=20/y
and y is 7
so the answer is 20/7
*provide details with your answer if its NECESSARY. * What is the perimeter of this triangle?
Answer:
27.9 unitsOption B is the correct answer.
Step-by-step explanation:
Finding the distance between the points A and B
A ( 3 , - 1 ) → ( x1 , y1 )
B ( 9 , - 5 )→ ( x2 , y2 )
Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 - ( - 1)}^{2} } [/tex]
[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 + 1))}^{2} } [/tex]
[tex] = \sqrt{ {6}^{2} +( - 4) ^{2} } [/tex]
[tex] = \sqrt{36 + 16} [/tex]
[tex] = \sqrt{52} [/tex]
[tex] = 2 \sqrt{13} [/tex]
Finding the distance between the points B and C
B ( 9 , - 5 ) → ( x1 , y1 )
C ( 16 , - 2 )→ ( x2 , y2 )
Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 9)}^{2} + { (- 2 - ( - 5))}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 9)}^{2} + { ( - 2 + 5)}^{2} } [/tex]
[tex] = \sqrt{ {7}^{2} + {(3)}^{2} } [/tex]
[tex] = \sqrt{49 + 9} [/tex]
[tex] = \sqrt{58} [/tex] units
Finding the distance between the points A and C
A ( 3 , - 1 )→ ( x1 , y1 )
C ( 16 , - 2 )→ ( x2 , y2 )
Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 3)}^{2} + {( - 2 - ( - 1))}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 3)}^{2} + ( - 2 + 1) ^{2} } [/tex]
[tex] = \sqrt{ {13}^{2} + ( { - 1)}^{2} } [/tex]
[tex] = \sqrt{169 + 1} [/tex]
[tex] = \sqrt{170} [/tex] units
Now, let's find the perimeter:
Perimeter = AB + BC + AC
plug the values
[tex] = 2 \sqrt{13} + \sqrt{58} + \sqrt{170} [/tex]
Calculate
[tex] = 27.9[/tex] units
Hope this helps..
Best regards!!
Explain how to create a Stem-and-Leaf plot using the 6 rules. And write down what the 6 rules are.
Answer:
The 6 rules/steps are below
Step-by-step explanation:
1. determine the smallest and largest number
2. Using the largest and smallest number, make sure that your graph can fit both of those numbers
3. identify the stems/tens place
4. fill in the leaves/ones place
5. Sort them from lowest to highest
6. Check
The number of bagels sold daily for two bakeries is shown in the table: Bakery A Bakery B 15 15 52 16 51 34 33 35 57 12 12 9 45 36 46 17 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric
Answer:
Which numbers go to each bakery
Answer:
D. Median for both bakeries because the data is not symmetric.
Step-by-step explanation:
Please help!!! Question is below
Answer:
A. Obtuse
Step-by-step explanation:
Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.
Also it is not B an acute because not all the angles are acute.
Hence, the answer is A. Obtuse
Answer:
[tex]\boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
An obtuse triangle is a triangle with one obtuse angle and two acute angles.
An obtuse angle is an angle greater than 90 degrees.
An acute angle is an angle less than 90 degrees.
Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.
Angles B and A are acute angles, they are less than a right angle or 90 degrees.
Graph the linear function whose equation is
y - 2 = - * (x + 1) by following these steps:
Answer:
The slope is -2/3
Step-by-step explanation:
With this its easier to get all of the x's on one side.
distribute the -2/3 to the x and 1. Also add a 2 on each side.
Thats leaves you with y=-2/3x+4/3
You than want to make a chart of x's and y's so you know what this graph looks like
x|y
-3|(10/3)
-2|(8/3)
-1|2
0|(4/3)
1|(2/3)
2|0
3|(-2/3)
To find the slope, it's (y2-y1)/(x2-x1)
So in this case, (0-2)/(2+1)
The slope is (-2/3)
Answer:
Slope = -2/3
Point = (-1,2)
Plot the given point = (-1,2)
Use the slope to plot one more point = (2,0)
Step-by-step explanation:
To most closely estimate the difference below, would you round the numbers to the nearest ten thousand, the nearest thousand, or the nearest hundred? Explain. 62,980 - 49,625 =?
Answer:
To most closely estimate the difference, I would round 62,980 to the nearest thousand, so it will be 63,000. That is because when rounding, 63,000 is large enough so that adding will be easy, and 62,980 is relatively close to 63,000.
I would round 49,625 to the nearest thousand, since it would make the subtraction easier and 49,625 is only 375 units away from 50,000.
63,000 - 50,000 = about 13,000.
Hope this helps!
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> time of the first process in minutes
y -----> time of the second process in minutes
we know that
The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes
so
The inequality that represent this situation is
The solution of the inequality is the shaded area below the solid line
The equation of the solid line is
The y-intercept of the solid line is the point (0,3)
The x-intercept of the solid line is the point (0.75,0)
The slope of the solid line is negative m=-4
using a graphing tool
The solution is the shaded area
The graph in the attached figure
Remember that the time cannot be a negative number
Answer: The answer is the last graph so D
Step-by-step explanation: Pogchamp
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
Only 8 servings can be made with the available spice.
Rice to spice ratio = 15 : 1
Number of grams per serving = 75 grams
Grams of spice available = 40 grams
Grams of rice, r required for available spice :
15 grams of rice = 1 gram of spice
r grams of rice = 40 grams of spice
Cross multiply :
r = (40 × 15)
r = 600 grams
The grams of rice which can go with the available spice :
Number of servings = grams of rice / grams per serving
Number of serving = 600 grams / 75 grams
Number of grams per serving = 8
Hence, The number of servings which can be made with the available spice is 8 servings
Learn more : https://brainly.com/question/18796573
pls help !
simplify
Answer:
B
Step-by-step explanation:
Sqaure roots can be rewritten as fractions.
The numerator will be rewritten as 6^(1/4)
The denominator will he written as 6^(1/5)
Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)
The denominator stays the same so you are left with 1/20 which is still the power over 6
6^1/20
Answer:
[tex]6^{\frac{1}{20} }[/tex]
Step-by-step explanation:
[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]
1/4 - 1/5 = 1/20
23 points! Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.
Answer:
6 combinations
Step-by-step explanation:
3 coats => Pink, Red, White
2 Scarves => Black, Grey
Gloves => Only 1
So the combination are drawn in the tree diagram below.
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------------
Since she has 3 coats, 2 scarfs, and 1 glove:
She has 6 ways to choose a coat, a scarf, and a glove(s).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My 6 combinations:
1.) Red coat, black scarf, white glove(s).
2.) White coat, grey scarf, white glove(s).
3.) Pink coat, black scarf, white glove(s).
4.) Red coat, grey scarf, white glove(s).
5.) White coat, black scarf, white glove(s).
6.) Pink coat, grey scarf, white glove(s).
Write each of the following expressions without using absolute value: PLEASE HELP I WILL MAKE BRAINLIEST TO WHOEVER GETS BOTH OF THEM RIGHT
Answer:
7
Step-by-step explanation:
2 3 4 5 6 7 8 9 10 TIME REMAINING 58:34 The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2 y minus 4 = x y + 4 x = 1 Mark this and return Save and Exit
Answer:
The answer is y minus x = negative 4
or c for short
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
i got it right on the test
can you draw a quadrilateral with no parallel lines and at least one right angle?
Answer:
Yes
Step-by-step explanation:
We can draw a quadrilateral with no parallel lines and at least one right angle
Answer:
Yes
Step-by-step explanation:
It's possible to draw a quadrilateral with no parallel lines and with 1 right angle
I really hope this helps I know how you feel (:-D)
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
(a) y=8x-46
(b) 8x-y=46
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.
Step-by-step explanation:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Answer:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Step-by-step explanation:
this was correct
pre-algebra !!!. A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second student chosen at random from the remaining students is also male. 9/16 3/4 1/2 6/11 None of the above
Answer:
D
Step-by-step explanation:
The first student is from a class of 12.
The first student = 9/12 for the fist male.
The second male is 8 out of 11.
The probability of both being males is
9/12 * 8/11 = 3/4 * 8/11 = 6/11
Does anyone know this need help!
Answer:
Lead
Step-by-step explanation:
According to the chart, we can see that lead has the highest number here, so lead has the highest freezing / melting point in this chart.
If we were looking for the element with the lowest freezing / melting point, then we would look for the lowest number, which would belong to Helium, at -272.
If sin ZA = { and cos ZA = }, what is tan ZA?
Answer:
A: 3/4
Step-by-step explanation:
sine is the length of the opposite side / length the hypotenuse side
cosine is the length of the adjacent side / length the hypotenuse side
using what's given:
the opposite side has a length of 3the adjacent side has a length of 4the hypotenuse side has a length of 5Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.
Answer:
A
Step-by-step explanation:
Algebra 1 help please
Solve 19a + 11b = 12a + 15 for a.
Select one:
a. 77 – 11b)
b. (15 + 11b 1/7
c. 7 ( 15 – 11b )
d. (15 – 11b)
Answer:
a = (15-11b)/7
Step-by-step explanation:
19a + 11b = 12a + 15
Subtract 12a from each side
19a-12a + 11b = 12a-12a + 15
7a +11b = 15
Subtract 11b from each side
7a+11b-11b = 15 -11b
7a = 15-11b
Divide by 7
7a/7 = (15-11b)/7
a = (15-11b)/7
Answer:
A = (15-11b)/7
Step-by-step explanation:
Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)
Answer:
y -1 = -3(x+1)
Step-by-step explanation:
First find the slope
(-1,1) and (1,-5)
m = (y2-y1)/(x2-x1)
= (-5-1)/(1--1)
=-6/ (1+1)
= -6/2
= -3
We are using point slope form
y-y1 = m(x-x1) where m is the slope
y - 1 = -3( x - -1)
y -1 = -3(x+1)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y= mx + c
where m is the slope
Slope of the line using points
(-1,1) and (1,-5) is
[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]
Therefore the equation of the line using point (-1,1) is
y - 1 = - 3( x + 1)Hope this helps you
If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33
Answer:
54
Step-by-step explanation:
20 ÷ a + 7 • b
Let a = 4 and b = 7
20 ÷ 4 + 7 • 7
Multiply and divide first
5 + 49
Then add
54
Answer:
54
Step-by-step explanation:
a=4 b=7
20/4=5
7✖️7=49
5+49=54
Hope this helps you!
The monthly salary of a salesman of a departmental store is Rs 12,500 and an additional payment of 0.5 % on the total monthly sale is provided as commission.
i) Calculate his total income in a month if he makes a total sale of Rs 7,20,000 in that month.
ii) What should be his total sale in the next month so that he can receive a total income of Rs 20,000 in the month?
Answer:
i. [tex]Total\ Income = Rs\ 16,100[/tex]
ii. [tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
Step-by-step explanation:
Given
[tex]Salary = Rs\ 12,500[/tex]
Commission = 0.5% of Monthly Sales
Calculating his total income is total sales is Rs 720,000
[tex]Total\ Income = Salary + Commission[/tex]
Substitute (0.5% of Monthly Sales) for Commission
[tex]Total\ Income = Salary + (0.5\%\ of\ Monthly\ Sales)[/tex]
Substitute Rs 720,000 for Monthly Sales and Rs 12,500 for Salary
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ of\ Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ * Rs\ 720,000[/tex]
Convert % to decimal
[tex]Total\ Income = Rs\ 12,500 + 0.005\ * Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + Rs\ 3,600[/tex]
[tex]Total\ Income = Rs\ 16,100[/tex]
Calculating his total sales if total income = Rs 20,000
Recall that;
[tex]Total\ Income = Salary + Commission[/tex]
Substitute Rs 20,000 for Total Income; Rs 12,500 for Salary and (0.5% of Monthly Sales) for Commission
[tex]Rs\ 20,000 = Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
Subtract Rs 12,500 from both sides
[tex]Rs\ 20,000 - Rs\ 12,500 = Rs\ 12,500 - Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ *\ Monthly\ Sales[/tex]
Divide both sides by 0.5%
[tex]\frac{Rs\ 7,500}{0.5\%} = \frac{0.5\%\ *\ Monthly\ Sales}{0.5\%}[/tex]
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
Convert % to decimal
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
[tex]\frac{Rs\ 7,500}{0.005} = Monthly\ Sales[/tex]
[tex]Rs\ 1,500,000 = Monthly\ Sales[/tex]
[tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
Plz help me 3y+x=7 4x-2y=0
Answer: 3
Step-by-step explanation:
find the value of a in this picture below
Answer:
[tex]\boxed{a=40}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
[tex]a[/tex] is equivalent to all the other [tex]a[/tex].
Put up an equation and solve for [tex]a[/tex].
[tex]60+a+a+a=180[/tex]
[tex]3a+60=180[/tex]
[tex]3a=120[/tex]
[tex]a=40[/tex]
Answer:
Step-by-step explanation:
in the given figure;
a+60deg.+a+a=180 deg.
=> 3a+60=180
=> 3a=180-60
=> 3a=120
=> a=120/3
=40 deg.
One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?
Answer:
28°F
Step-by-step explanation:
We can find the change in temperature by subtracting 44 from 72:
72 - 44 = 28
So, the change in temperature was 28°F
Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
Answer:
132 tiles
Step-by-step explanation:
We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.