Step-by-step explanation:
The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:
From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.
Therefore, the possibility/probability that the first die is 4 or that doubles are rolled is computed as follows:
P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136
Solve each linear equation for x.
(A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23 x – 9 = 13 x x =
Answer:
when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2
Help plz:)))I’ll mark u Brainliest
Answer:
The high of cylinder is 47 m. or inch.. cuz if you make angles and sides of fraction it may multiple by 30 so it would be 47..
Step-by-step explanation:
HOPE IT HELPS!!
Solve for 0. Round to the nearest tenth of a degree. Sin 0=0.85
The value of the angle theta is 58 degrees
How to determine the value of the angle thetaFrom the question, we have the following parameters that can be used in our computation:
Sin 0=0.85
Express the angle in the equation properly
So, we have the following representation
sin(Ф) = 0.85
Take the arc sin of both sides of the equation
So, we have the following representation
sin⁻¹(sin(Ф)) = sin⁻¹(0.85)
Evaluate the arc sin of one side of the equation
So, we have the following representation
Ф = sin⁻¹(0.85)
Evaluate the arc sin of the other side of the equation
So, we have the following representation
Ф = 58.2116693829
Approximate the equation
Ф = 58 degrees
Hence, the solution is 58 degrees
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I’m confused HELP pls
On solving the equation n = za the value of a is obtained as a = n/z.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
To solve for a in the equation n = za, isolate a on one side of the equation.
Do this by dividing both sides by z:
n/z = (za) / z
On the right side, the z's cancel out, leaving -
n/z = a
So the solution is -
a = n/z
Therefore, the value of a that satisfies the equation n = za is equal to n divided by z.
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what is 1+2+3+4+...+1000?
Answer:
[tex]S_{1000}=500500[/tex]
Step-by-step explanation:
[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]
A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 10. The psychologist randomly selects 100 children from this group and finds that their mean IQ score is 100. Based on this sample, find a 99% confidence interval for the true mean IQ score for all children of this group. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Answer:
The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{10}{\sqrt{100}} = 2.575[/tex]
Rounding to one decimal place, the margin of error is 2.6.
The lower end of the interval is the sample mean subtracted by M. So it is 100 - 2.6 = 97.4.
The upper end of the interval is the sample mean added to M. So it is 100 + 2.6 = 102.6.
The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.
A gardener works for 13 hours during a week and charges $169 how much does the gardener charge for each hour?
Answer:
You have to divide to unit price, 169/13 is equal to 13!
Step-by-step explanation:
A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?
When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
what is rectangle ?4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.
given
Allowing for a rectangular card that is x cm long and y cm broad
The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.
L+B = L+B -2 = 2(L + B)
= 2(L-4 + B+2) = 2(L + B)
= L+B = L+B -2
Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
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What transformation maps triangle XYZ onto triangle X'Y'Z'?
Answer:
a translation of 4 in y direction.
hope it helps.
stay safe healthy and happy.
Find the value of x for which line L is parallel to M
Answer:
50
Step-by-step explanation:
Angle 95 and ( 2x - 5 ) are alternate interior angles.
Alternate interior angles are equal.
2x - 5 = 95
2x = 95 + 5
2x = 100
x = 100 / 2
x = 50
Please answer the following question, if you send me a link to a unknown website you will be reported.
Answer:
i think it's b because 80 days is max
Find two consecutive odd numbers such that the difference between their reciprocals is 2/99.
note (the answer key said 9 and 11 and after testing it, it was correct, but I don't know how to get that answer)
Note (the chapter name is fractional equations, so they want us to make an equation and solve it)
The two consecutive odd numbers such that the difference between their reciprocals is of 2/99 are given as follows:
9 and 11.
How to obtain the numbers?The two numbers are odd numbers and consecutive, hence they are symbolized as follows:
n and n + 2. (as n + 1 is even).
Their reciprocals are given as follows:
1/n.1/(n + 2).The difference of their reciprocals is obtained as follows:
1/n - 1/(n + 2) = 2/99.
The least common factor of n and n + 2 is of n x (n + 2), hence:
(n + 2 - n)/[n(n + 2)] = 2/99
2/[n(n + 2)] = 2/99.
As the numerators are equal, we take the denominators to solve for n as follows:
n(n + 2) = 99.
n² + 2n - 99 = 0.
(n - 9)(n + 11) = 0.
Applying the Factor Theorem, the solutions are given as follows:
n - 9 = 0 -> n = 9.n + 11 = 0 -> n = -11.We want the positive numbers, hence the numbers are:
n = 9 and n + 2 = 9 + 2 = 11.
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I need help with this question, plz someone
Answer:
1 and 2
Step-by-step explanation:
if you flip T2 it will look like T1
Answer:
The correct answer is a D
Step-by-step explanation:
if you look at figures 1 and 3 they are the same only that 3 is bigger
A particle moves with velocity function v(t) = −t2 + 5t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.
The acceleration of the particle is 1 foot per second square
How to determine the acceleration of the particle?From the question, we have the following parameters that can be used in our computation:
Velocity function v(t) = −t2 + 5t − 3
Express properly
So, we have
v(t) = -t² + 5t − 3
At time t = 3 seconds, we have
v(3) = -(3)² + 5(3) − 3
Evaluate
v(3) = 3
So, we have
Acceleration = v(3)/3
This gives
Acceleration = 3/3
Evaluate
Acceleration = 1 foot per second square
Hence, the acceleration is 1 foot per second square
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a rectangular pyramid has a volume of 560 cubic meters. the base has a length of 16 meters and a width of 10 meters. what is the height of the pyramid
Find Y
Special right triangles
Please last question of the day!! Due very soon
Given:
A right triangle with angles 30, 60, 90 degrees.
Hypotenuse = [tex]2\sqrt{2}[/tex] mm.
Base = y
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (60^\circ)= \dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{2\sqrt{2}}{2}=y[/tex]
[tex]\sqrt{2}=y[/tex]
Therefore, the value of y is [tex]\sqrt{2}[/tex] mm.
A television set cost $350 cash when bought on hire purchase a deposit of $35 is required followed by 12 monthly payments of $30 how much is saved by paying cash
Answer:
www.imsorryineedpoints.orgStep-by-step explanation:
Need the next three numbers on the line please help
Answer:
B = -1
C = -1/2
D = 0
I hope this helps
Step-by-step explanation:
Let the unit distance be 'x'.
There are 4 units in between A and E. It means,
A(unit) + 4(unit) = E(unit)
-1 (1/2) + 4x = (1/2)
-(2+1)/2 + 4x = 1/2
- 3/2 + 4x = 1/2
4x = 1/2 + 3/2
4x = 4/2
x = 1/2
B is at distance x from A= -3/2 + 1/2 = -1
C is at distance 2x fromA=-3/2+2(1/2)=-1/2
D is at distance 3x from A=-3/2+3(1/2)=0
Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
4 jars
5 jars
8 jars
10 jars
Answer:
(c) 8 jars
Step-by-step explanation:
You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.
JarsThe number of jars can be found from ...
(2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars
Lorraine can fill 8 jars from the 2.5 gallon pot.
<95141404393>
(-5i)(7 + i)
Please help with with the correct response and explanation if you can I would be more than thankful for some help!
Answer:
To solve this problem, you need to use the distributive property, which states that for any two numbers a and b, and for any numbers x and y, (a + b) * x = ax + bx and x * (a + b) = xa + xb.
Applying the distributive property, we have:
(-5i)(7 + i) = (-5i) * 7 + (-5i) * i
= -35i + (-5i) * i
Now, you need to use the fact that i * i = -1:
(-5i)(7 + i) = -35i + (-5i) * i
= -35i + (-5) * (-1)
= -35i - 5
= -40i - 5
So the final result is -40i - 5.
Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.
The length of UV in the circle is given as follows:
13.2.
How to obtain the length of UV?We are given two secant segments in the circle for this problem.
For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.
Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:
(22 + 17) x 17 = (20 + UV) x 20
Hence we must simply solve the expression to obtain the length of UV, as follows:
39 x 17 = 400 + 20UV
663 = 400 + 20 UV
20 UV = 263
UV = 263/20
UV = 13.2.
Missing InformationThe circles are given by the image presented at the end of the answer.
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you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
A) 26.563 miles in total
B) 1.977 more miles
Step-by-step explanation:
for the first question, add all the values together. for the second question, take the amount jade ran and subtract the amount noah ran from it to get how much more jade ran.
−1, 1/6, −1/36, 1/216,…
What is the recursive rule for this sequence?
Question 9 options:
There is no rule
an = – 1 ⋅ an–1
an = ( 1/6) ⋅ an–1
an = (– 1/6) ⋅ an–1
Answer:
It is D: an = (– 1/6) ⋅ an–1
Step-by-step explanation:
Prime numbers are the _______ _______of all numbers
The numbers which have only two factors either 1 and the number itself are called prime numbers.
What is prime numbers?Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number
Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
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is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false
Answer:
True, 50 tens times hundreds equal 40 tens times 5 hundreds
Step-by-step explanation:
50 tens times 4 hundreds equals to 40 ten times 5
hundreds because if you multiply 50 by 4 hundreds
you'll get 20,000 and if you multiply 40 tens by
hundred it will still give you 20,000
Therefore:
50 × 400 = 40 × 500
20,000 = 20,000
For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25
Answer:
Step-by-step explanation:
Step: Solve−3x−4y=15for x:
−3x−4y=15
−3x−4y+4y=15+4y(Add 4y to both sides)
−3x=4y+15
−3x
−3
=
4y+15
−3
(Divide both sides by -3)
x=
−4
3
y−5
brooklyn bought 8 bags of the same dog food. She has a $5 coupon. She spent $91. How much was each bad of dog food?
Answer:
$12
Step-by-step explanation:
Hi there!
What we know:
Brooklyn bought 8 bags of dog foodBrooklyn also used a $5 couponThe total was $91Therefore, 8 × (cost of 1 bag) - 5 = 91
Form an equation with x as the cost of 1 bag of dog food:
8 × (cost of 1 bag) - 5 = 91
[tex]8x-5=91[/tex]
Add 5 to both sides
[tex]8x-5+5=91+5\\8x=96\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8} = \frac{96}{8} \\x=12[/tex]
Therefore, 1 bag of dog food costs $12.
I hope this helps!
Please help me! If you get it right, I will give you Brainlist!
Answer:
720m^2
Step-by-step explanation:
Answer your answer is B
3 7) Find the quotient: : 3/7 1/2
NEED HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
Solution to these system of equations is where they intercept
Answer:
B. (-2, -3)
Step-by-step explanation:
Graphically, the solution to a system of equations is where the two lines of the system intersect. In this given system of equations, the lines intersect at the point (-2, -3), thus the solution to the system of equations is (-2,-3), or option (B).