Answer:
A. <ECF and <BCF
Step-by-step explanation:
Complementary angles are angles that add up to give 90°
m<BCE = m<BCA = 90° (right angles)
m<ECF + m<BCF = m<BCA
m<ECF + m<BCF = 90° (Substitution)
Therefore, <ECF and <BCF are complementary angles.
A vending machine dispenses coffee into a twelve ounce cup he amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.006 ounce. You can allow the cup to overfill 4â% of the time. What amount should you set as the mean amount of coffee to beâ dispensed?
Answer:
this mean amount of coffee to be dispensed would be 11.99, approximately 12
Step-by-step explanation:
first of all we have this information available to answer this question.
standard deviation σ = 0.006 ounces
prob(x > 12) = 0.04
we use this formular to find the mean
z = x - μ/σ
the value of the z score at 4% is equal to 1.7507
such that
[tex]1.7507 = \frac{12-u}{0.006}[/tex]
we cross multiply from this stage
1.7507*0.006 = 12-μ
0.0105042 = 12-μ
μ = 12 - 0.0105042
herefore, the mean amount μ = 11.99 this can be approximated to 12
John is building a fence for his dog. He knows that he wants to make the width 3 feet longer than twice the length. Find the area of the fence.
Write the answer in standard form.
The word "theory" is composed of the letters of the split alphabet. Three cards are taken out at random and stacked in a row one after another in order of appearance. How many possible compounds can be made up of the letters of this word?
Answer:
There would be [tex]120[/tex] of them.
Step-by-step explanation:
There are [tex]6[/tex] distinct letters in the word "[tex]\verb!theory![/tex]".
Hence, there would [tex]6[/tex] possible choices for the first letter that was selected.
Since the chosen card won't be placed back in the pool, there would be only [tex](6 - 1) = 5[/tex] possible choices for the second letter.
Likewise, there would be [tex](6 - 2) = 4[/tex] choices for the third letter.
[tex]6 \times 5 \times 4 = 120[/tex]. In other words, there are [tex]120[/tex] possible ways to draw three cards out of [tex]6[/tex] one after another.
Since the question states that the order of the cards matters, it won't be necessary to eliminate repetitions such as "[tex]\verb!the![/tex]" and "[tex]\verb!het![/tex]" from the number of combinations.
3(6x+3)=63 How to do it
Let a=⟨1,−4,2⟩ and b=⟨−5,−5,−2⟩. Compute:
a+b=⟨ ,, ⟩
a−b=⟨ ,,⟩
2a=⟨ ,,⟩
3a+4b=⟨ ,, ⟩
|a|=
Answer:
a + b = ⟨-4, -9, 0⟩
a - b = ⟨6, 1, 4⟩
2a = ⟨2, -8, 4⟩
3a + 4b = ⟨-17, -32, -2⟩
|a| = √21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Vectors
OperationsScalars[Magnitude] ||v|| = √(x² + y² + z²)Step-by-step explanation:
Adding and subtracting vectors are follow the similar pattern of normal order of operations:
a + b = ⟨1 - 5, -4 - 5, 2 - 2⟩ = ⟨-4, -9, 0⟩
a - b = ⟨1 + 5, -4 + 5, 2 + 2⟩ = ⟨6, 1, 4⟩
Scalar multiplication multiplies each component:
2a = ⟨2(1), 2(-4), 2(2)⟩ = ⟨2, -8, 4⟩
Remember to multiply in the scalar before doing basic operations:
3a + 4b = ⟨3(1), 3(-4), 3(2)⟩ + ⟨4(-5), 4(-5), 4(-2)⟩ = ⟨3, -12, 6⟩ + ⟨-20, -20, -8⟩ = ⟨-17, -32, -2⟩
Absolute values surrounding a vector signifies magnitude of a vector. Follow the formula:
|a| = √[1² + (-4)² + 2²] = √21
Can someone help me out
Answer:
π×64×4=804.25
Step-by-step explanation:
Formula of cylinder is π×square of radius×height
Answer:
803.8
Step-by-step explanation:
it's 3.14×8×8×4 which would give you 803.84 and then you round which would give you 803.8
What is 0.25% of K2 000?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{When you hear/see the word of in mathematics, it usually means }\\\large\text{\bf multiplication. }[/tex]
[tex]\large\text{So, when you think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }[/tex]
[tex]\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}[/tex]
[tex]\large\textsf{0.25\% of 2,000}[/tex]
[tex]\large\textsf{= 0.25\%} \times \large\textsf{2,000}[/tex]
[tex]\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}[/tex]
[tex]\mathsf{= \dfrac{25}{100} \times 2,000}[/tex]
[tex]\mathsf{\dfrac{25}{100}= \bf 0.0025}[/tex]
[tex]\large\textsf{= 0.0025} \times \large\textsf{2,000}[/tex]
[tex]\large\text{= \bf 5}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Subtract (−4m2+5mw−12w2) from (−10m2−11mw−7w2).
Answer:
-6m² - 16mw + 5w²
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(-10m² - 11mw - 7w²) - (-4m² + 5mw - 12w²)
Step 2: Simplify
[Distributive Property] Distribute negative: -10m² - 11mw - 7w² + 4m² - 5mw + 12w²Combine like terms: -6m² - 16mw + 5w²Answer:
-6m² - 16mw + 5w²
Step-by-step explanation:
(−10m2−11mw−7w2)−(−4m2+5mw−12w2)=−10m2−11mw−7w2+4m2−5mw+12w2
Use the commutative property to bring the like terms together and simplify.
−10m2−11mw−7w2+4m2−5mw+12w2=−10m2+4m2−11mw−5mw−7w2+12w2=−6m2−16mw+5w2
HELP NEEDED PLEASE!!!!!
Answer:
1^1 + 0^1 =1
Step-by-step explanation:
sin^2 theta + cos^2 theta = 1
sin^2 (pi/2) + cos^2 (pi/2) =1
1^1 + 0^1 =1
Find the quotient of -196/4
Answer:
this is the answer
Step-by-step explanation:
thank you
Answer:
-196/4 = -49
Step-by-step explanation:
Mental math. If you can't do that then use a calculator. It's faster to type it in on g oogle
I don’t know what to do
Answer:
[tex]C=\pi d\\\\d=\frac{C}{\pi }[/tex]
Make d the subject:
C = πd
C/π = d
Your answer: d = C/π
HELP. Use the grouping method to factor the polynomial below completely.
x^3 – 5x^2 + 3x - 15
A. (x^2 + 5)(x-3)
B. (x^2 - 3)(x+5)
C. (x^2 - 5)(x+3)
D. (x^2 + 3)(x - 5)
Answer:
D
Step-by-step explanation:
(x^2+3)(x-5)
That's the answer
As a marketing manager, you are tasked with selecting a website to place your advertisement. The following sampled data shows the number of user visits per month over the last 3 three years:
Website 1: 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462
Website 2: 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903 Since the behavior of internet users can be considered a natural process, consider the number of views to follow normal distribution. In addition, please assume no autocorrelation or time-series nature of the data. Based on the data above, provide the answers to the following question:
A. What is the average and standard deviation of viewership of each website?
B. Is viewership different between these two websites? If yes, which website provides more views?
C. Suppose that your manager requires at least 12000 views per month. What is the probability of 12000 views happening on each website?
D. Which website provides more consistent view? How would you measure it?
E. Which website would you recommend for your advertisement?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462
Mean, xbar = ΣX/ n ; n = sample size = 36
Xbar = 377999 / 36 = 10499.9722
Standard deviation, s = √[(x - xbar)² / (n-1]
Using calculator :
Standard deviation (Website 1 :), s = 110.239865
Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903
Mean, xbar = ΣX/ n ; n = sample size = 36
Xbar = 395197 / 36 = 10977.6944
Standard deviation, s = √[(x - xbar)² / (n-1]
Using calculator :
Standard deviation (Website 2), s = 132.617995
2.)
Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.
3.)
The probability of 12000 views per month on each website :
Probability = Mean viewership per month / required viewership
Website 1 :
P(12000) = 10499.9722 / 12000 = 0.8749
Website 2 :
P(12000) = 10977.6944 / 12000 = 0.9148
4.)
More consistent website :
We use the standard deviation value, the higher the standard deviation, the higher the variability :
Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.
5.)
Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.
PLEASE ANSWER!!!!!!!
Graph the line with x - intercept of -2 and has a slope of 3
Answer:
The graph is given below.
Step-by-step explanation:
X intercept = - 2
slope, m = 3
The point t which the line intersects the X axis is (-2 , 0) .
The equation of line passing through a point and the slope is given
y - y' = m (x - x')
y - 0 = 3 (x + 2)
y = 3 x + 6
So, the graph is given below.
Compare by y = m x + c .
here y intercept is 6 .
Which equation would have real zero(s) corresponding to the x-intercept(s) of the graph below?
Answer:
Choice A.
[tex]y = - {2}^{x} + 4[/tex]
Step-by-step explanation:
Use graphing calculator
Answer:
Choice A.
Step-by-step explanation:
GUYS I NEED HELP PLEASE!!!
Answer:
A.
Step-by-step explanation:
π/4 radians = 45°
In a 45-45-90 degree angle, the ratio of the lengths of the sides is
1 : 1 : √2
x = y = 1/√2
x = y = √2/2
Answer: A.
Answer:
A
Step-by-step explanation:
π/4 rad is 45°
cos 45° and sin 45° are both equal to (√2 / 2)
If you're curious, cos delta = x-coordinate while sin delta = y-coordinate
an electric pole of height 25 m casts a shadow of 20 m.find the height of a tree, if it casts a shadow of 12 m under similar conditions
Answer:
9.6
Step-by-step explanation:
20 divided by 25 = 0.8
Then, 0.8 times 12 = 9.6
I bet that helped! :D
What will you get when you multiply the two variables?
Answer:
When variables are the same, multiplying them together compresses them into a single factor (variable). ... When multiplying variables, you multiply the coefficients and variables as usual. If the bases are the same, you can multiply the bases by merely adding their exponents.
Step-by-step explanation:
Write the equation in slope-intercept form of a line is parallel to y=2x+5 and has a y-intercept of -7
Answer:
y = 2x - 7
Step-by-step explanation:
Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.
I need help for this math question!
Answer:
D
Step-by-step explanation:
Assuming that the expression is referring to sin²(2πft) and not sin²(2)πft, we can solve as follows:
One trigonometric identity states that sin²x+cos²x = 1. We want to express this in terms of cos²x, so we need to solve for sin²x. Subtracting cos²x from both sides, we get 1-cos²x = sin²x. Plugging (2πft) for x, we get
1-cos²(2πft) = sin²(2πft)
We can plug that into our equation to get
P = I₀²R(1-cos²(2πft)), or D
According to Runzheimer International, a typical business traveler spends an average of $281 per day in Chicago. This cost includes hotel, meals, car rental, and incidentals. A survey of 50 randomly selected business travelers who have been to Chicago on business recently is taken. For the population mean of $281 per day, what is the probability of getting a sample average of more than $268 per day if the population standard deviation is $47?
Answer:
The correct answer is - 97.74%.
Step-by-step explanation:
Given:
sample mean = 281
Std Dev = 47 ==> Sample
Std Dev (s) = std dev/sqrt(n) = 6.0677
Solution:
Find : P( x > 268 )
z = ( x - u )/s = ( 268 - 281 )/6.0677
= -1.9558
then, P( x > 270) = P( Z > -1.9558)
= P( Z <1.9558)
= 0.9747
change into percentage:
= 97.471%
Ell takes the 17 apples home, and the bakes as many apple pies
as he can. He uses 7 apples in each ple. How many apple pies does
El bake? How many apples are left?
Counters
17:7
10
10
c
Boles
pies
apples are en
Answer:
Tedyxhcj eydyfhxrstetdhsawe
Which is the graph of Y = log(-x)?
5
4
3
3
N
1
1
A++
-4 -3 -2 -11
1 2 3 4 5 6 7 8 9
-2
-3
-4
ASAP
Can someone help me please? I am struggling and I would be so happy if any of you helped me. Can someone help me out with this problem please?
The [tex]\pm[/tex] symbol means "plus minus".
Writing [tex]1.5 \pm 0.85[/tex] is the same as saying [tex]1.5 + 0.85\ \text{ or } \ 1.5 - 0.85[/tex]
The lower bound, or left endpoint, is 1.5 - 0.85 = 0.65
The upper bound, or right endpoint, is 1.5 + 0.85 = 2.35
Based on what you have, it looks like you probably followed those steps. However, you have the items in the wrong order. You should have 0.65 listed first and 2.35 listed last. Also, you need to have "or equal to" as part of the inequality sign.
So you should have [tex]0.65 \le x \le 2.35[/tex]
As for your graph, you have the endpoints in the wrong spot.
The left endpoint should be between the 0.6 and 0.7 to indicate 0.65
The right endpoint should be between 2.3 and 2.4 to indicate 2.35
See the diagram below.
match the polynomial with its correct name
Answer
Attach a file for us to see the problem
Step-by-step explanation:
jess wants to buy a car but she cannot decide if she should buy a Honda or a Kia. The Honda costs $16,000 and depreciates at an annual rate of 8%. The Kia costs $12,000 and depreciates at an annual rate of 12%. What will each car be worth in 5 years? In 10 years? Which car should she buy and why?
Answer:
Step-by-step explanation:
Honda : 16,000
each year depreciates 8% from 100% so will be left with 100-8 =92% or 0.92
in 5 years : 16,000* 0.92^5 ≈ $10,545.30
in 10 years : 16,000* 0.92^10 ≈ $6,950.22
Kia : $12,000
each year depreciates 12 % from 100% so will be left with 100-12 =88% or 0.88
in 5 years : 12,000* 0.88^5 ≈ $6,332.78
in 10 years : 12,000* 0.88^10 ≈ $3,342.01
Jess should buy the Honda if wants to use it for 5 years or less because although is more expensive than Kia, it depreciates less in 5 years.
In 5 years the difference in depreciation is 10,545.30 -6,332.78= $ 4,212.52 this is greater that the difference in the actual price 16,000-12,000 =$ 4,000
Jess should buy the Kia if wants to use the car for 10 years or more because Kia will depreciates less than Honda in 10 years.
In 10 years the difference in depreciation is 6,950.22 -3,342.01 =$ 3, 608.21 this is lower that the difference in the actual price 16,000-12,000 =$ 4,000
Peaches cost $5 a dozen. Use a table to determine the following:
A. The cost of 3dozen peaches.
B. The cost of 60peaches.
C. The number of peaches you can buy for $35
Answer:
A. $15
B. $25
C. 84 peaches
Answer:
a)3dozenx$5=$15
b)60=5 dozen 5x$5=$25
c)35/5=7,7 dozen, 7 x 12= 84
Step-by-step explanation:
evaluate 3^2*5^5*3^3*5^3/3^4*3^4
[tex] \frac{{3}^{2} \times {5}^{5} \times {3}^{3} \times {5}^{3} }{ {3}^{4} \times {3}^{4} } \\ = \frac{ {3}^{5} \times {5}^{8} }{ {3}^{8} } \\ = \frac{ {5}^{8} }{ {3}^{3} } \\ = \frac{390625}{27} \\ = 14467.592592......[/tex]
This is the solution.
30 35 23 22 28 39 21 Population 2 45 49 15 34 20 49 36 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Step 3 of 4 : Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Answer:
(−14.850850 ; 0.565135)
Step-by-step explanation:
Confidence interval :
Xd ± Tcritical * Sd/√n
Population 1 :30 35 23 22 28 39 21
Population 2 : 45 49 15 34 20 49 36
d = -15,-14,8,-12,8,-10,-15
The mean of d, Xd = Σx / n = - 7.14285714
The standard deviation of the difference, Sd = 10.4948967 (using calculator)
Sample size, n = 7
Tcritical at 90%, df = 7 - 1 = 6
Tcritical = 1.943176
Confidence interval :
- 7.14285714 ± 1.943176 * 10.4948967/√7
Confidence interval :
- 7.14285714 ± 7.7079925
(−14.850850 ; 0.565135)
In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The total number of new and preowned cars on the lot is 66. If 4 new cars and 2 preowned cars are sold and are removed from the lot, what fraction of the remaining cars on the lot are preowned?
The fraction of the remaining cars in the lot that are preowned is 7/15
In order to determine the fraction of the remaining cars in the lot that are preowned, we have to first determine the total number of new cars and preowned cars before the sale occurred.
Total number of preowned cars before the sales = (ratio of preowned cars / total ratio) x total number of cars
ratio of preowned cars = 5
total ratio = 6 + 5 = 11
total number of cars = 66
(5/11) x 66 = 30 cars
Total number of new cars before the sale = (ratio of new cars / total ratio) x total number of cars
ratio of new cars = 6
total ratio = 6 + 5 = 11
total number of cars = 66
(6/11) x 66 = 36 cars
Total number of new cars after the sale = total number of new cars before the sale - number of new cars sold
36 - 4 = 32
Total number of preowned cars after the sale = total number of preowned cars before the sale - number of preowned cars sold
30 - 2 = 28
The fraction of the remaining cars on the lot that are preowned = number of preowned cars after the sale / total number of cars on the lot after the sale
total number of cars on the lot after the sale = 28 + 32 = 60
28/60
to convert to the simplest term, divide the numerator and the denominator by 4
7/15
To learn more about fractions, please check : https://brainly.com/question/15898494?referrer=searchResults