Answer:
hi hows your day
Step-by-step
Probability and Statistics
IS
The probability distribution for a
random variable x is given in the table.
-5
-3
-2.
0
2
3
Probability
.17
113
.33
.16
.11
.10
Find the probability that x <-3
Answer:
Step-by-step explanation: if you want to obtain the probability that x [tex]\leq[/tex]-3 , then you need to add the probability for the cases x=-3 and x=-5.
p=0.13+0.17= 0.3
answer=0.3
The probability that x ≤ -3 will be the sum of 0.13 + 0.17 = 0.30.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
As per the given probability distribution.
The probability distribution is the probability of different cases.
In cases the probability adds thus,
P(x ≤ - 3) = P (x = -3) + P(x = -5)
⇒ 0.13 + 0.17 = 3
Hence "The probability that x ≤ -3 will be the sum of 0.13 + 0.17 = 0.30".
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NEED HELP ASAP PLEASE WILL GIVE BRAINLIEST
Review the diagram.
On a coordinate plane, a rectangle sits on the x-axis. A horizontal vector is 30 degrees from a vector labeled 40 pounds, and is 45 degrees from a vector labeled 35 pounds.
Two students are pulling an object with ropes. One student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground. What is the direction of the resultant force?
approximately 37.33° above the ground
approximately 42.27° above the ground
approximately 47.73° above the ground
approximately 53.13° above the ground
Answer: A. approximately 37.33° above the ground
Step-by-step explanation:
edge2020
The correct solution to the problem is that the direction of the resultant force will be approximately 37.33° from the horizontal above the ground.
What is Vector and how do we do component of a Vector ?In a coordinate plane there are two axis one is x axis and the second one is y axis.If a vector is lying in the coordinate plane then no matter what is its direction, we can always divide it in two components which are x component and y component for easier calculations.If the magnitude of the vector is R, then the magnitude of the X component along x axis will be R cos θ and the magnitude of the Y component along y axis will be R sin θ.We can find the final resultant magnitude and direction of the vector from the components by adding the the components.How to solve this question ?For 30° Vector of 40 pounds :-
If we divide it in components it will become
40 cos 30° Î + 40 sin 30° Ĵ
40 × ( √3 / 2 ) Î + 40 × ( 1 / 2 ) Ĵ
34.64 Î + 20 Ĵ ( approximately )
For 45° Vector of 35 pounds :-
If we divide it in components it will become
35 cos 45° Î + 35 sin 45° Ĵ
35 × ( 1 / √2 ) Î + 35 × ( 1 / √2 ) Ĵ
24.75 Î + 24.75 Ĵ ( approximately )
Now adding both vectors
( 24.75 + 34.64 ) Î + ( 24.75 + 20 ) Ĵ ( approximately )
59.39 Î + 44.74 Ĵ ( approximately )
Now Using formula of Tan θ to find the value of θ
( Tan θ = Perpendicular / Base )
Tan θ = 44.74 / 59.39
Tan θ = 0.75 ( approximately )
θ = Tan⁻¹ (0.75) ( approximately )
θ = 36.87° ( approximately )
We are calculated the value of θ as 36.87° which is approximate value as we used a lot of approximations while calculating and, the closest option given is 37.33° which is again an approximate value.
So we can say that the correct answer to this problem is The direction of the resultant force will be approximately 37.33° from the horizontal above the ground.
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find the slope (m) and y -intercept (b) of the equation in standar form 2x-3y=6
Answer:
m = [tex]\frac{2}{3}[/tex] , b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide all terms by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and y- intercept b = - 2
Answer:
y- intercept is (0, -2)
slope is 2/3
Step-by-step explanation:
find 2 points on the line:
2x-3y=6
1/2*(6+3y) =x
if y is 2, x is 6 ((6,2))
if y is 4, x is 9 ((9, 4))
y-intercept is when x = 0.
0-3y=6
y=-2
slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:
x2 = 9
x1 = 6
y1 = 2
then plug in and solve.
(4-2)/(9-6)
= 2/3
m = 2/3
Hope this helps!
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Answer:
The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm
Step-by-step explanation:
The lengths of side of the triangle are in ratio 8:9:10
Perimeter of triangle = 108 cm
We need to find length of sides of triangles.
The formula used is: [tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\[/tex]
The length of side of triangle can be expressed as:
First side= 8x
Second Side =9x
Third Side=10x
So, finding x and then calculate length of each side
[tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\\\108=8x+9x+10x\\108=27x\\x=\frac{108}{27}\\x=4[/tex]
So, value of x = 4
The length of sides of triangle will be found by putting value of x at each side.
First side= 8x = 8*4 = 32 cm
Second Side =9x= 9*4= 36 cm
Third Side=10x = 10*4=40 cm
So, The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm
Evaluate the function when x = 5: h(x) = 3x + 5
Answer:
h(x)=20
Step-by-step explanation:
x=5
3(5)+5
15+5
20
Hope this helps!
Answer:20
Step-by-step explanation:
Hello!
So first you want to plug in 5 to all of the x
h(5) = 3(5) + 5
No you want to do 3(5)
3(5) = 15
h(5) = 15 + 5
Now you add 15 + 5
15 + 5 = 20
h(5) = 20
So your answer is 20
Line g has a slope of–7/3. Line
h is parallel to line g. What
is the slope of line
h?
Answer:
-7/3
Step-by-step explanation:
Since the lines are parallel, the slopes would have to be the same
Write the sentence as an inequality: Sixteen is no more than the product of 4 and x
Your sentence:
16 < 4x
If m<1 = (2x)° and m<5 = (x+16)°, find the value
of ‘x’ and the m<4.
Answer:
Given equation is
<br> Comparing with
, we get a=1, b=2(m-1), c=m+5 <br> The equation will have two real and equal roots if <br> Discriminant (D)=0 <br>
<br> or
<br>
<br>
<br>
<br>
<br>
<br>
<br>
<br>
Hence, value (s) of m are -1 and 4.
"The definition of absolute value is: how far a number is from its opposite". What's the error put into words.
Answer:
correst sentence would be absolute value is how far number is from 0
What is the line of reflection
Answer:
x=y
Step-by-step explanation:
What is the slope of a line that connects points (5,8) and (10,12)
Answer:
4/5
Step-by-step explanation:
12-8=4
10-5=5
4/5 is the slope
Let f (x) = 8x^2 + 4 and g(x) = -x^2+ 12x + 10. Which statements below are true for f (x) · g(x)? Select all that apply.
A.The constant term is 40.
B.The leading term is 8x^4.
C.The x term has a coefficient of 12.
D.The x^2 term has a coefficient of -76.
E.The x^3 term has a coefficient of 96.
F.The resulting polynomial has degree 4.
Answer:
Option A, E ,F are correct
Step-by-step explanation:
f(x).g(x)=(8x^2+4)(-x^2+12x+10)
=(-8x^4+96x^3+80x^2-4x^2+48x+40)
= -8x^4+96x^3+76x^2+48x+40
Leading term is -8x^4. The x term has coefficient 48. The x^2 term has coefficient +76
The school track is 7/8 of a mile in length. Den ran 1/4 of a mile. How much more will he need to run to go all the way around the track?
Answer:
5/8
Step-by-step explanation:
1/4=2/8
7/8-2/8=5/8
Define and give examples of x-intercept
Answer:
Definition: The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Example: From the graph, describe the x and y-intercepts using point notation. The graph crosses the x-axis at x = 1 and x = 3, therefore, we can write the x-intercepts as points (1,0) and (–3, 0). Similarly, the graph crosses the y-axis at y = 3. Its y-intercept can be written as the point (0,3).
what is x in 9x + 89 = 161
Answer:
The answer is x=8
Step-by-step explanation:
hope that helps
9x+89=161
9x+89−89=161−89
9x=72
9x/9=72/9
x=8
Answer:
x = 8
Step-by-step explanation:
We just need to solve for x!
Here is a step-by-step process:
9x + 89 = 161
Subtract 89 from both sides
9x = 72
Divide both sides by 9
x = 8
Plz help it’s due soon I made it extra points
Answer:
the answer is D
Step-by-step explanation:
It shows both numbers of the graph.
M(-2,0), and N(-1, 2)
Triangle PQR is shown below. Its original lengths are multiplied by 2.5. What are the new side lengths of P’Q’R’?
17, 8, 15
Answer:
17 will change to 42.5
8 will change into 20
and
15 will change into 37.5
Step-by-step explanation:
Multiply them all by 2.5
Answer:
A 37.5 cm x 20 cm x 42.5 cm
Step-by-step explanation:
Its 37.5 cm x 20 cm x 42.5 cm
An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each. Mrs. Tran spent a total of $93 on bandanas at this store. How many cotton bandanas did Mrs. Tran buy
Given :
An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each.
Mrs. Tran spent a total of $93 on bandanas at this store.
To Find :
How many cotton bandanas did Mrs. Tran buy.
Solution :
Let, number of cotton and silk bandanas buys are x and y respectively.
So, 7x + 11y = 93
x = (93 - 11y)/ 7
Putting y = 1 , x = 82/7 ( not possible since x can only be positive integer )
Putting y = 4 , x = 7
Therefore, Mrs . Tran will buy 7 cotton bandanas.
Hence, this is the required solution.
Use the function f (x) = 2x^2 – 5.
(Look at picture)
Answer:
C
Step-by-step explanation:
By the definition of an inverse function, if:
[tex]f(a)=b\text{ then } f^{-1}(b)=a[/tex]
Therefore, the domain of the original function will be the range of the inverse function.
And the range of the original function will be the domain of the inverse function.
We have the original function:
[tex]f(x)=2x^2-5[/tex]
With the domain:
[tex]-\infty<x<\infty[/tex]
Since the domain of the original function is such, then the range of the inverse function is also the same as above.
So, the range of the inverse function is also:
[tex]-\infty< f^{-1}(x)< \infty[/tex]
So, our answer is
C.
Notes:
A, B, and E would automatically be incorrect since we never use ”or equal to” when using the infinity symbol. This is because we can never “equal” infinity.
what is x for 4(x+2) = 16 ?
Answer:
x=2
Step-by-step explanation:
4(x+2) = 16
Divide each side by 4
4/4(x+2) = 16/4
x+2 = 4
Subtract 2 from each side
x+2-2 =4-2
x =2
Answer:
x is 2
Step-by-step explanation:
parenthesis first ok ... 2 plus 2 is 4 ok?
and then 4 times 4 is 16 and the numbers haveta equal 16 so there u go mate x equals 2 yall
hope this helps
have a great day
im brooke btw
(BRAINLIEST FOR QUICKEST)
Write the following using algebraic notation, using the letter x for any unknown numbers.
I think of a number add seven and then divide by five.
Answer:
[tex]\frac{x+7}{5}[/tex]
Step-by-step explanation:
Add 7 to x gives x + 7 then divide this by 5, that is
[tex]\frac{x+7}{5}[/tex]
What is the area of the triangle bounded by the line 3x+2y=12 and the x- and y- axes?
Answer:
12
Step-by-step explanation:
If x=0, then the y axis is 6
If y=0, then the x axis is 4
The base is 4 and the height is 6
4 x 6 / 2 = 12
x = 7 - 2y
2x + y = 5
PLS HELP ME I NEED THIS FASTTT ON SHOW ALL YOUR WORK
List the values for a, b and c in the following quadratic equation.
3x^2 + 6x = 7
Use your preferred method to solve the following quadratic equation for n. Please show ALL work to receive credit.
6n^2-18n -18=6
Use your preferred method to solve the following quadratic equation for n. Please show ALL work to receive credit.
x^2 + 8x = 10
Answer:
I tried my best so I hope this helps :)
(look at the screenshots for the work I don't feel like typing it out)
Step-by-step explanation:
1.) the solution is [tex]x=\frac{-3+\sqrt{30}}{3}\\[/tex], [tex]x=-\frac{3+\sqrt{30}}{3}[/tex]
2.) the solution is [tex]n=4,\:n=-1[/tex]
3.) the solution is [tex]x=-4+\sqrt{26},\:x=-4-\sqrt{26}[/tex]
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
What’s 20 times 6 plus negative 2?
Answer:
118
Step-by-step explanation:
20 x 6 = 120 add that to negative 2 and boom there you go.
Answer:
20+6-2=24
Step-by-step explanation:
this is the answer
Write the standard form of 2 (4x - 1)(2x + 5)
Answer:
16x^2+36x-10
Step-by-step explanation:
2 (4x - 1)(2x + 5)
=2(8x^2-2x+20x-5)
=2(8x^2+18x-5)
=16x^2+36x-10
2. A 5-foot-tall fencepost casts a 7.25-foot shadow at the same time that a nearby
gazebo casts a 36.25-foot shadow. How tall is the gazebo?
Answer:
I think the answer is 25 feet
Step-by-step explanation:
5 / 7.25 = .6896551724
.6896551724 x 36.25 = 25
Calculate the quotient below and give your answer in scientific notation. 0.00065/5*10^-2
Answer:
1.3x10^-6
Step-by-step explanation:
Use a calculator.
0.00065/5 will give you 0.00013 which can be written as 1.3x10^-4 and multiply that by 10^-2, you will add the exponents -4+-2 and get -6 as your new exponent, ending with 1.3x10^-6
Answer:
The one above is incorrect, the answer is:
1.3 x 10-2
Write this inequality based on the information given: Five is greater than seven more than five times a number (Use x as your variable.)
Answer:
5>5x+7
Step-by-step explanation:
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The diagram to the right of airport runaways intersection shows two parallel runways. A taxiway crosses both runways use the diagram to answer the question.
Answer:
m<4 is the measurement of 20°
and m<1 is the measurement of 33°
and in order to get 127° is to subtract 180° by 127° then that gives you 53° then you ether divide 53° by 180° or, you divide 53° in half, which gives you 33° for measurement 1™ and measurement 4™ gives you 20°
Step-by-step explanation:
The sum of angles m∠1 and m∠4 is 254°.
What is an angle?When two lines meet at a point, the geometrical figure that is formed is called an angle.
Here the taxiway crosses two parallel airplane runways.
Now, the m∠8 = m∠4 (these are corresponding angles)
Again, m∠4 = m∠1 (these are opposite angles)
Therefore, sum of angles m∠1 and m∠4
= (m∠1 + m∠4)
= (m∠8 + m∠8)
= 2 × m∠8
= 2 × 127°
= 254°
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