Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
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Answer:
Its actually DStep-by-step explanation:
The average rate of job submissions in a busy computer center is 3 per minute. If it can be assumed that the number of submissions per minute interval is Poisson distributed. Calculate the probability that at least 40 jobs will be submitted in 15 minutes.
The probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.
The number of jobs submitted per minute follows Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X= x) = e^{-\lambda} \frac{\lambda^{x} }{x!}[/tex] .
In the question, we have the random variable x = 40.
The mean λ = Average jobs per minute*time = 3*15 = 45.
We are to find the probability that at least 40 jobs will be submitted in 15 minutes, which is represented as P(X ≥ 40) = P(X > 39).
P(X > 39) = 1 - P(X ≤ 39) = 1 - poissoncdf(45,39)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 39) = 1 - 0.20838 = 0.79162.
Therefore, the probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.
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53 points!!! find x. do not round your answer. 5cm 6cm 12cm x
Answer:
16.6
Step-by-step explanation:
By the property of intersecting secants.5(5+x) = 6(6+12)-> 25 + 5x = 6*18-> 5x = 108 - 25-> 5x = 83-> x = 83/5-> x = 16.6Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT
The following are the appropriate notations is P(EIF)=P(E n F) / P(F).
What is Conditional Probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
As, from the property of conditional probability
P(EIF)=P(E n F) / P(F)
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b) Another sequence is defined using this term-to-term rule, Un+1 = kun + r where k and rare constants. Given that u₁ = 37, U₂= 188 and u3 = 943, find the value of k and the value of r. b ) Another sequence is defined using this term - to - term rule , Un + 1 = kun + r where k and rare constants . Given that u₁ = 37 , U₂ = 188 and u3 = 943 , find the value of k and the value of r .
The values of k and r are given by 5 and 3 respectively.
Here in this problem it is given that,
General formula for the sequence is given by,
[tex]U_{n+1}=kU_n+r[/tex]
First term of the sequence, [tex]U_1=37[/tex]
Second term,
[tex]U_2=188[/tex]
[tex]U_{1+1}=188[/tex], rearranging
[tex]kU_1+r=188[/tex], applying general formula
[tex]37k+r=188[/tex]..........(1)
Third term,
[tex]U_3=943[/tex]
[tex]U_{2+1}=943[/tex], rearranging
[tex]kU_2+r=943[/tex], applying general formula
[tex]188k+r=943[/tex]..........(2)
Now (2) - (1) we get,
188k+r-37k-r = 943-188
151k = 755
k = 755/151 = 5
Hence the value of k is 5.
Substituting the value of k in (1) we get,
37*5+r = 188
185+r = 188
r = 188-185 = 3
Thus the value of r is 3.
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The chart below shows the distribution of the number of books in a library.Sahira chooses a random sample from the library and records the type of books in the chart below.
Answer:
you have jbjhgbjhih7g6ginyfygino
A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.
What does the y-intercept represent?
the estimated amount of years the farm can afford feed
the maximum feed per day estimated for the life of the farm
the estimated amount of feed per day for the start of the farm
the maximum years the farm needs the originally estimated feed per day
The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.
What is a function ?A function is a law that relates two variables , independent and dependent variable.
It is given that
On y axis , amount of feed used each day in thousands of pounds,
On x axis, number of years since the farm began operating
The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.
Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.
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[39/(15-2)|-(2*9)
someone solves this please, I keep getting different answers and everytime I look up the answer every website shows a different answer..
Answer:
[39/(15-2)]-(2×9) = -15
Step-by-step explanation:
[39/(15-2)]-(2×9)
Let’s start with this part : 39/(15-2)
According to the order of operations parentheses comes before division
then
39/(15-2) = 39/(13) = 39/13 = 3
We get [39/(15-2)]-(2×9) = 3 - (2 × 9)
…………………………………………
Calculating 3 - (2 × 9)
According to the order of operations parentheses and multiplication comes before division
Then
3 - (18) = 3 - 18 = -15
Thus
[39/(15-2)]-(2×9) = -15
please answer the question no 3
as fast as possible
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the given series is 240.
What is arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The value of [tex]\log_{a^{\frac12}}(a)[/tex] will be equal to 2. Therefore, the series will become,
series = 2 + 4 + 6 + 8 + 10 + 12 + .... + 30
Now, as it can be observed that the given series is an arithmetic series, therefore, the number of terms in the series are,
30 = 2 + (n-1)1
28 = (n - 1)2
n - 1 = 14
n = 15
Further, the sum of the of the series will be,
sum = (15/2)[2(2) + (15-1)2]
sum = (15/2) [4 + 28]
sum = 240
Hence, the value of the given series is 240.
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help me deadline today
Answer:
6
Step-by-step explanation:
The equation becomes 9 *4 * 1/6. Then you simplify and get 6.
Please mark me as Brainliest if it is correct, thx.
Is this linear or non linear?
Answer: This represents a linear function.
Step-by-step explanation:
I used Desmos to plot them on a graph. You can see that this is linear because each point is in a line. I hope this helps!!
What is the function written in vertex form? f(x) = 4(x 6)2 10 f(x) = 4(x 6)2 – 26 f(x) = 4(x 6)2 – 134 f(x) = 4(x 6)2 154
The required vertex form of the given equation is a) [tex]4(x-6)^2 +10[/tex] is correct
the function [tex]y=4x^2+24x+154[/tex] is given,
vertex form of a equation [tex]y=ax^2+bx+c[/tex] is given by [tex]y=a(x-h)^2+k[/tex].
since [tex]y=4x^2+24x+154[/tex]
Now h = - b/2a
h = -N
Now at x = 0
k = 10
vector form can be given by [tex]4(x+6)^2 +10[/tex]
The question is incomplete. The question could be:
what is the correct vertex form of equation [tex]y=4x^2+24x+154[/tex]?
a)[tex]4(x+6)^2 +10[/tex]
b)[tex]4(x-6)^2 -26[/tex]
c)[tex]4(x-6)^2 -134[/tex]
d)[tex]4(x-6)^2 +154[/tex]
Thus, the vector form of the given function is [tex]4(x+6)^2 +10[/tex]
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Help question is in the pic
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. Which describes the rotation?
The rotation is 180 degrees in clockwise direction.
What is rotation?
The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.
The complete question is:
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
If we look at the coordinates carefully then we can see that the sign of the coordinates have been changed.
As, (x,y) to (-x, -y)
Hence, the rotation is 180 degrees rotation (x,y) to (-x, -y) in clockwise rotation.
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Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend?
3,958
4,500
5,700
6,200
Answer:
3,958 kjksjjdkskdjdjd
I need help with this question, I'm not sure what to do
If Bruce can deduct 40% from other interest then the total interest deducted is $2927.
Given Adjusted gross income=$36500, mortgage interest =$2787 and other interest $350.
It is said that 40% of other interest can be deducted by Bruce but it is not said that nothing will be deducted by Bruce from Mortgage interest so we will deduct full of mortgage interest and 40% of other interest. So,
Mortgage interest =$2787
Other interest=$350
Other interest deductable=40%*350
=$140
So the total will be 2787+140 =$2927.
Hence the interest deducted by Bruce is $2927if only 40% of other interest is deductable.
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what is the sum of first 6 terms
Answer:
182
Step-by-step explanation:
Sum = a(r^n -1) ÷ r - 1
1(-3^6 - 1) ÷ -3 -1
= 182
r = t2 ÷ t1 * since they stated that it is geometric
PLEASE HELP ME!!! QUICKLY!!
Answer:
4
Step-by-step explanation:
2L=w
32=LxW
so you put the 2L as the w
which is 32=Lx2L
32=2L^2
16=L^2
4=L
*To find the width you input 4 as L*
So 8=W
The shortest side would be 4
10.
(06.01 MC)
Classify the expression: 5x3 + 2x − 3 (1 point)
Quadratic expression
Linear expression
Cubic expression
Exponential expression
The correct answer is option C which is the given expression is cubic.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given expression
5x³ + 2x − 3
The cubic expression is one in which the highest power of the variable is three or we can say that the degree of the expression is three so the expression will have three solutions.
Therefore the correct answer is option C which is the given expression is cubic.
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need help asap willing to give a lot of points!
Answer:
[tex]\fbox {See below} \downarrow[/tex]
Step-by-step explanation:
Question 1
Part (a) :
⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ
⇒ 6⁷ = 6ˣ
⇒ x = 7
Part (b) :
⇒ y² = 169
⇒ √y² = √169
⇒ y = ± 13
⇒ y = 13, y = -13
Question 2
Part (a) :
⇒ (√5)² × (√3)²
⇒ 5 × 3
⇒ 15
Part (b) :
⇒ (∛9)³ × (√30)²
⇒ 9 × 30
⇒ 270
There are 19 animals on the farm which contains hens and goats. There are 68 legs in total. How many goats are there on the farm?
Answer: 15 goats
Step-by-step explanation:
h = hens - they have 2 legs
g = goats - they have 4 legs
The equations would be:
h + g = 19
2h + 4g = 68
To solve this, I personally prefer substitution, we're isolating h since we need to find g:
h + g = 19
h = 19 - g
Now that we have h, we can plug this into the second equation:
2h + 4g = 68
2(19 - g) + 4g = 68
38 - 2g + 4g = 68
2g = 30
g = 15
There are 15 goats.
Adding onto this, 19 - 15 = 4, so there are 4 hens.
What is the standard form of this function?
f(x) = (x-4)² + 2
Standard form of quadratic equation: ax² + bx + c
Here given equation: f(x) = -(x - 4)² + 2
Simplify the equation:
⇒ f(x) = -(x - 4)² + 2
Use perfect square formula: (a + b)² = a² + 2ab + b²
⇒ f(x) = -(x² + 2(x)(-4) + (-4)²) + 2
⇒ f(x) = -(x² - 8x + 16) + 2
⇒ f(x) = -x² + 8x - 16 + 2
⇒ f(x) = -x² + 8x - 14
[tex]\hrulefill[/tex]
Here given equation: f(x) = (x - 4)² + 2
Simplify the equation:
⇒ f(x) = (x - 4)² + 2
⇒ f(x) = x² + 2(x)(-4) + (-4)² + 2
⇒ f(x) = x² - 8x + 16 + 2
⇒ f(x) = x² - 8x + 18
Answer:
f(x)=x²-8x+18
Step-by-step explanation:
f(x) = (x-4)² + 2
To find the answer for the first part (x-4)², you need to use the formula.
This is the formula: (a-b)²=a²-2ab+b²
Plug in x for a and -4 for b.
(x-4)²=x²-8x+16
Now, put x²-8x+16 for (x-4)².
f(x)=x²-8x+16+2
Add like terms.
f(x)=x²-8x+18
Our answer is already in standard form because it is from greatest to least.
Hope this helps!
If not, I am sorry.
help me with math please grade 5
Answer:
15/7 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
15/21
Step-by-step explanation:
First do 5 times 3, which is 15 (5+5+5). Then do 7 times 3, which is 21 (7+7+7). Since the denominator is 7 and there is 3 models with 7 parts each, there are 21 total parts. Out of each model, only 5 parts are highlighted/colored out of the 7. Add all the parts that are colored together to get 15. To put it simpler, 15 out of 21 parts are colored. This cannot be further simplified, giving you 15/21
Find the value of x ??
A. 31
B. 5
C. 11
D. 25
Select the correct answer.
Julissa is printing out coples for a work training. It takes 4 minutes to print a color copy, and It takes 2 minutes to print a grayscale copy. She
needs to print no fewer than 8 coples within 25 minutes.
Which system of Inequalities represents the number of color copies, ×, and grayscale coples, y, that Julissa can print to meet her goal?
The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:
[tex]x + y \geq 8[/tex].[tex]4x + 2y \leq 25[/tex].What is a system of inequalities?A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.
The variables are given as follows:
Variable x: Number of color copies.Variable y: Number of gray scale copies.She needs to print no fewer than 8 copies, hence:
[tex]x + y \geq 8[/tex].
It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:
[tex]4x + 2y \leq 25[/tex].
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what is the degree of the polynomial below?
2 times x squared plus 3 times x plus 1
Answer:
2
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.
someone help how do I
factor x^3-y^3
Answer:
(x - y)(x² + xy + y²)
Step-by-step explanation:
Since both are cubed (³),
we can apply the Difference of Cubes Formula:
A binomial that is of the form (something)³ – (something else)³
To factor any difference of cubes,
the formula a³ – b³ = (a – b)(a² + ab + b²).
hence, x³ - y³ = (x - y)(x² + xy + y²)
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m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°
Answer: x = 44
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees so:
(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Answer:
The expression that represents the PS is 7x – 7 .
if I am right mark the answer as brainliest
please find it and ignore the writing from pen
Answer:
18 is answer
Step-by-step explanation:
Answer:
what is business function of beauty
N
2. a carpenter wants to cut a wood board that is feet long
into pieces that are feet long. how many whole pieces
can be cut from the board? how much wood is left over
5
16
i
Step-by-step explanation:
i
