Answer in fraction form is 1/3
Answer in decimal form is 0.3333
Pick one answer only.
==========================================================
Explanation:
The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6
S = sample space
S = {1,2,3,4,5,6}
There are 6 items here. Let B = 6.
We want to roll a number greater than 4, so the event space we're after is
E = {5,6}
which consists of 2 items. Let A = 2.
The probability we want is A/B = 2/6 = 1/3 = 0.3333
So if you go with the fraction option, then you'll type in 1/3
If you go with the decimal option, then you'll type in 0.3333
2.6.58
The lot in the figure shown, except for the house, shed, and driveway, is lawn. One bag of lawn fertilizer
costs $15.00 and covers 3,000 square feet.
Please help :)
Answer:
50 bags ;
£750
Step-by-step explanation:
The dimension of the rectangular lawn is 500ft by 300 ft
The area of the lawn an e obtained thus :
Area of rectangle = Length * width
Area of rectangle = 500 ft * 300 ft
Area of rectangle = 150000 feets
1 bag of fertilizer covers 3000 feets
The minimum bags of fertilizer required :
Area of rectangle / Area covered by 1 bag of fertilizer
Minimum bags of fertilizer required :
(150,000 / 3000) = 50 bags
50 bags of fertilizer
Cost per bag = 15
Total cost = 15 * 50 = £750
In 2005, there were 14,100 students at college A, with a projected enrollment increase of 1000 students per year. In the same year, there were 34,350 students at college B, with a projected enrollment decline of 1250 students per year. According to these projections, when will the colleges have the same enrollment? What will be the enrollment in each college at that time?
Let A be college A and let B be College B
A= 14,100
Rule: 1 Year = +1,000 students
B= 34,350
Rule: -1250 per year
1st Answer: 2017
Notice: I didn't show the formula because I'm not %100 sure I'm kind of off so if this is incorrect I'm deeply sorry. I truly am. On the bright side, I think its correct.
In the diagram, WZ=StartRoot 26 EndRoot.
On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).
What is the perimeter of parallelogram WXYZ?
units
units
units
units
Answer:
[tex]P = 8 + 2\sqrt{26}[/tex]
Step-by-step explanation:
Given
[tex]W = (-2, 4)[/tex]
[tex]X = (2, 4)[/tex]
[tex]Y = (1, -1)[/tex]
[tex]Z = (-3,-1)[/tex]
Required
The perimeter
First, calculate the distance between each point using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2[/tex]
So, we have:
[tex]WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4[/tex]
[tex]XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}[/tex]
[tex]YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4[/tex]
[tex]ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}[/tex]
So, the perimeter (P) is:
[tex]P = 4 + \sqrt{26} + 4 + \sqrt{26}[/tex]
[tex]P = 8 + 2\sqrt{26}[/tex]
The perimeter of parallelogram WXYZ is 8 + 2√26 units
Perimeter of parallelogramIn order to determine the required perimeter of the parallelogram, we will use the distance formula as shown:
D= √(x2-x1)²+(y2-y1)²
Given the coordinate of the parallelogram shown as:
W(-2, 4)
X (2, 4)
Y(1, -1)
Z(-3, -1).
Since it is a parallelogram, the opposite sides are equal that is:
WX = YZ and XY = WZ
WX = YZ = √(x2-x1)²+(y2-y1)²
WX = YZ = √(2+2)²+(4-4)²
WX = YZ =√(4)²
WX = YZ = 4 units
Similarly
XY = WZ = √(2-1)²+(4+1)²
XY = WZ = √(1)²+(5)²
XY = WZ = √26
Perimeter = 2(4)+ 2(√26)
Perimeter = 8 + 2√26
Hence the perimeter of parallelogram WXYZ is 8 + 2√26 units
Learn more on perimeter of parallelogram here: https://brainly.com/question/11185474
Can someone help me out?
Answer:
Terms:
-5x4-x-1Like Terms:
-5x and -x4 and -1Coefficients:
The coefficient of -5x is -5.The coefficient of -x is -1.Constants:
4-1You simplify the expression by combining like terms:
-5x + 4 - x - 1 = -6x + 5
(7b - 4) + (-2b + a + 1) = 7b - 4 - 2b + a + 1 = 5b + a - 3
Using the following image, solve for x
Answer:
x= -3
Step-by-step explanation:
2x+14= 8
2x= -6
x = -3
Answer:
-3
Step-by-step explanation:
According to the question,
[tex]\longrightarrow[/tex] CE = CD + DE
[tex]\longrightarrow[/tex] 8 = (x + 10) + (x + 4)
[tex]\longrightarrow[/tex] 8 = x + 10 + x + 4
[tex]\longrightarrow[/tex] 8 = 2x + 14
[tex]\longrightarrow[/tex] 8 ― 14 = 2x
[tex]\longrightarrow[/tex] ―6 = 2x
[tex]\longrightarrow[/tex] ―6 ÷ 2 = x
[tex]\longrightarrow[/tex] –3 = x
Therefore, the value of x is ― 3.
a cat measures 76 cm from its nose to its tail the length of a lion is 3 times as long as a car how long is a lion? Give your answer in meters
Answer:
ok so if the lion is 3 times bigger we have to multiply the length of the cat by
3
3*76=228
so the lion is 228 cm long
now we divide by 100 for meters
228 divided by 100=2.28 meters
Hope This Helps!!!
Answer:
2.28 Meters
Step-by-step explanation:
If the lion is 3 times as long as the cat and the cat is 76cm long you just multiply 76*3=228 convert that to meters and it gives you 2.28 meters in length for the lion
tan sin^-1(-1/2)+tan^-1(3/4)
exact value!
Answer:
m
Step-by-step explanation:
vfmjj vdzaazb knkuvggb
5a2 + b(a2 + 5) + b2
[tex]\rightarrow\sf {5a}^{2} + {b(a}^{2} + 5) + {b}^{2} [/tex]
Solution:[tex]\rightarrow\sf {5a}^{2} + {b(a }^{2} + 5) + {b}^{2} \\ = \sf {5a}^{2} + {ba}^{2} + b \times 5 + {b}^{2} \\ = \large\boxed{\sf{\red{ {5a}^{2} + {ba}^{2} + 5b + {b}^{2} }}}[/tex]
Answer:[tex]\rightarrow\large\boxed{\sf{\red{ {5a}^{2} + {ba}^{2} + 5b + {b}^{2} }}}[/tex]
[tex]\color{red}{==========================}[/tex]
✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
I need help with this
Answer:
Here,
Angle TUV + Angle NUV=TUV
By substituting the provided or given value ls in the question we obtain,
1+38x+66 Degree= 105x
1+66 Degree= 67x
67 Degree= 67x
1 Degree = x
x = 1 Degree
Therefore
Angle TUN=1+38x=39
Angle NUV=66 Degree
Therefore
1+38x+66 Degree= 105x
=39 Degree+66 Degree= 105 Degree
Therefore
Angle TUV=105 Degree
If one card is drawn from a deck, find the probability of getting these results.
Enter your answers as fractions or as decimals rounded to 3 decimal places.
Answer:
Face card= 12/52
(52 cards in a deck and 12 are face cards)
Red face card= 6/12
(12 face cards in a deck cards in a deck and 6 are red face cards)
Black face card= 6/52
(6 are black)
Black card= 26/52
(52 cards in a deck and 26 are black)
Red card= 26/52
(26 are red)
What is the mode of the data?
Weight of Dogs In the Pet Store
Stem Leaves
0 3, 8
1 0, 1, 4, 7,
2 2, 4, 5
3 5 0 | 3 = 3 pounds
4 0
A. 17
B. 3
C. no mode
D. 40
Answer:
No mode
Step-by-step explanation:
Mode = number that appears the most
No number appears more than 1 time
Hence there is no mode
Answer:Should be no mode tell me if i'I'm wrong
Step-by-step explanation:
Using each of the digits 2 through 5 only
once, write 2 two-digit whole numbers
whose product is as large as possible.
Answer:
52, 43
Step-by-step explanation:
the first instinct might be to make the first number as big as possible : 54
that leaves for the second number 2 and 3, and the largest combination here is 32 (larger than 23).
54×32 = 1728
but, the area of a rectangle (and that is what we are calculating here) is the larger, the closer the lengths of its side are.
so, a bigger difference between length and width creates a smaller area, than a smaller difference between length and width for similar lengths.
so, what if we sacrifice just a little bit of the length, and make it 53 ? that opens up 4 for the second number, giving us 42 as width. they are much closer to each other with still very similar length.
53×42 = 2226
you see ? much bigger.
let's experiment further and pick 52 as length.
that gives us 43 as width.
52×43 = 2236
and again a little bit closer and with bigger result.
you see, in the previous case we "added" comparably to this last case a 42 (53×42 instead of 52×42), and in the last case we added a 52 (52×43 instead of 52×42) creating the difference of 10.
but of course, this only works, if we don't decrease the length too much.
Answer:
Using each of the digits 2 through 5 only once, write 2 two-digit whole numbers whose product is as large as possible.
PLEASE HELPPPP WILL GIVE BRAINLIESTTTT
Factor the following expressions completely. Show and check all work on your own paper.
9x2-18x+9
Hi there!
[tex]\large\boxed{9(x - 1)^{2}}[/tex]
9x² - 18x + 9
We can begin by factoring out a 9 from each term:
9(x² - 2x + 1)
Now, find two terms that add up to -2 and equal 1 when multiplied. We get:
9(x - 1)(x - 1)
Or:
9(x - 1)²
What transformation to the linear parent function, f(x) = x, gives the function
g(x) = x + 7?
O
A. Shift 7 units down.
B. Vertically stretch by a factor of 7.
C. Shift 7 units right.
D. Shift 7 units left.
Helping my home girls for the future
State the final conclusion in simple nontechnical terms.
Original claim: The proportion of male golfers is less than 0.6.
Initial conclusion: Fail to reject the null hypothesis.
Which of the following is the correct conclusion?
A. There is suffficient evidence to support the claim that the proportion of male golfers is less than 0.6.
B. There is not sufficient evidence to support the claim that the proportion of male golfers is less than 0.6.
Answer:
B. There is not sufficient evidence to support the claim that the proportion of male golfers is less than 0.6.
Step-by-step explanation:
The proportion of male golfers is less than 0.6.
At the null hypothesis, we test if the proportion is of at least 0.6, that is:
[tex]H_0: p \geq 0.6[/tex]
At the alternative hypothesis, we test if the proportion is of less than 0.6, that is:
[tex]H_1: p < 0.6[/tex]
Fail to reject the null hypothesis.
This means that there is not sufficient evidence to conclude that the proportion is less than 0.6, and thus the correct answer is given by option B.
when 5 is added to 2 times a number , the results is 45. find the number
Answer:i think its 20
Step-by-step explanation: 20 x 2 is 40 plus 5 is 45
Answer:
✓ x - the number 5 + 2x = 45 2x = 45 - 5 2x = 40 x = 20 5 + 2(20) = 45 5 + 40 = 45 45 = 45 Hope this helps. :-) the answer is 20
Step-by-step explanation: Algebra.com
Using the table above. Which statement below is true?
9514 1404 393
Answer:
(d) 45% play basketball; 55% play soccer
Step-by-step explanation:
You just need a little number sense here. The total number who play sports is the number in the lower right of the table: 120.
The fraction who are males playing basketball is 42/120. Comparing that to 45/100, we see it cannot be 45%. (a) is false.
The fraction who are males is 72/120, more than half, so cannot be 40%. (b) is false.
Looking at males who play basketball, we have already determined the fraction 42/120 is well below 65%. (c) is false.
The fraction who play basketball is 54/120 = 45%. (d) is true.
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
• 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
8 cm and 9 cm
Answer:
8cm and 9cm
Step-by-step explanation:
because for the triangle to work you need the other two other sides when added together needs to be greater then 13
If the two lines below are perpendicular and the slope of the red line is -7,
what is the slope of the green line?
10
10
A. 7
ОО
B. -7
C. 1
Answer:
C. ⅐
Step-by-step explanation:
Recall: the slope of a line that is perpendicular to another is the negative reciprocal of the slope of the other line that it is perpendicular to.
Thus:
Slope of red line = -7
The green line that is perpendicular to the red line will have a slope that is the negative reciprocal of -7.
Negative reciprocal of -7 = ⅐
The slope of the green line is therefore ⅐
NEED ANSWER QUICK WITH STEP BY STEP!!!
In this diagram, ABAC – AEDF. If the
area of ABAC = 6 in?, what is the
area of AEDF?
Answer:
2.7 in²
Step-by-step explanation:
similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.
so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.
in other words
EF = BC × 2/3
2 = 3 × 2/3
correct
how do we calculate the area of a triangle ?
Area = baseline × height / 2
from BAC we know
Area = 6
baseline = 3
height = ?
6 = 3 × height / 2
12 = 3 × height
height = 4
aha !
now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3
so, for EDF we know
Area = ?
baseline = 2
height = 4 × 2/3 = 8/3
therefore, the area is
Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7
the shirt answer would be :
we know from the 2 baselines that the scaling factor for each distance is 2/3.
for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.
2/3 × 2/3 = 4/9
=>
Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7
Please help it’s kinda confusing only got 20 minutes left !!
Plss help Get brainiest if right!
The first side of a triangle is 2/3
as long as the second side. The
length of the third side of the triangle is 1/2 of the sum of the
first and second sides. Find the length of the sides of the triangle
if the perimeter is 50.
Answer:
In Picture
Step-by-step explanation:
Brainliest please~
Help me pls
I put the picture in the attach file below
(Sorry i'm in secondary school but i have a problem with my settings)
Step-by-step explanation:
0 is the ans my guy
dngjdjvkdkckgkdkgkskfkfkv
solve the equation 11n - 17 = 49
Answer:
The correct answer is =6.
Step-by-step explanation:
Solution,
Given;
11−17=49
or,11n-17=49
or,11−17+17=49+17
or,11=66
or,n=66/11
#n=6
HOPE IT HELPED♥︎
If 6 playes cost 54$ how much do 30 plates cost
Answer:
270 plates
Step-by-step explanation:
First, you need to find how much one plate costs.
6x = 54
---- ----
6 6
x = 9
Now, multiply 30 plates with x, which is 9.
30(9) = 270
The answer is 270.
Answer:
270
Step-by-step explanation:
54($)÷6= 9 then 9×30=270
1 point
What is the slope of a line perpendicular to 3x + 4y = -2?
Answer:
4/3
Step-by-step explanation:
In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line.
Let's write [tex]3x+4y=-2[/tex] in slope-intercept form by isolating [tex]y[/tex]:
[tex]3x+4y=-2,\\4y=-3x-2,\\y=-\frac{3}{4}x-\frac{1}{2}[/tex]
Therefore, the slope of this line is [tex]\frac{-3}{4}[/tex]. To find the slope of a line perpendicular to it, multiply the reciprocal of the slope by -1 (take the negative reciprocal).
Therefore, the slope of a line perpendicular to [tex]3x+4y=-2[/tex] is:
[tex]m_{perp}=-(-\frac{4}{3})=\boxed{\frac{4}{3}}[/tex]
Answer:
4/3
Given equation :-
3x + 4y = -2 4y = -3x - 2 y = (-3x - 2)/4 y = -3/4 x - 1/2Slope :-
m = -3/4Slope of perpendicular line :-
m' = -(1/m )m' = -( 1 ÷ -3/4 ) m' = -1 * -4/3 m = 4/3Will give brainliest answer
1... > equivalent 2...>equivalent 3...>not equivalent mark if u want
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 9. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 41st percentile of the scores. (b) Find the 74th percentile of the scores. (c) The instructor wants to give an A to the students whose scores were in the top 8% of the class. What is the minimum score needed to get an A
Solution :
Using the TI-84 PLUS calculator
a). Area : 0.41
μ = 75
σ = 9
InvNorm(0.41,75,9)
= 72.95209525
Therefore, the 41st percentile of the scores is 72.95209525
b). Area : 0.74
μ = 75
σ = 9
InvNorm(0.74,75,9)
= 80.79010862
Therefore, the 74st percentile of the scores is 80.79010862
c). 8%
So, Area : 0.92
μ = 75
σ = 9
InvNorm(0.92,75,9)
= 87.64564405
Therefore, X = 80.79010862
what is the value of 24 * 0.03
Answer:
The value of 24x0.03 is gong to be, "800"