Answer:
angles A and C are congruent
express the ratio as a fraction in the lowest term.3600s:2hours
Step-by-step explanation:
3600s=1hr
so, 1hr:1hr
1:1
Based on the concept of fractions and the information in the question, the fraction form in the lowest term is 1/2.
What is Fraction?Fraction is a term that is used to describe the portion/part of the whole thing. It represents the equal parts of the whole.
Generally, the term fraction has two parts, namely numerator and denominator.
Hence, in this case, to express the ratio as a fraction in its lowest term, convert both units to the same unit of time.
1 hour is equal to 3600 seconds so 2 hours is equal to 2 * 3600 = 7200 seconds.
Now the ratio is 3600 seconds to 7200 seconds.
To simplify this ratio we can divide both terms by their greatest common divisor which is 3600.
So the simplified ratio is 1:2.
Therefore, in this case, it is concluded that the fraction form in the lowest term is 1/2.
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find the unknown value
no link
Answer:
x = 120°y = 75°z = 45°Step-by-step explanation:
Refer to the attachment for the steps.
(x-5)(X+12)=-70
[tex](x - 5)(x + 12) = - 70[/tex]
Answer:
[tex]x = - 2[/tex]
[tex]x = - 5[/tex]
Step-by-step explanation:
Give
[tex](x - 5)(x + 12)[/tex]
Apply FOIL Method
[tex]x {}^{2} + 7x - 60 = - 70[/tex]
Add 70 on both sides
[tex] {x}^{2} + 7x + 10[/tex]
Factor
[tex](x + 2)(x + 5)[/tex]
So our roots are
x=-2
x=-5
Answer:
dtet
Step-by-step explanation:
dgbyn
Round 790 to the nearest hundred? Hurry pls and please don't answer if you know you wrong
Answer:
HEY THERE!
Step-by-step explanation:
the answer is:800
hope it helps and have a great day!
Ans: 800
explanation:
The weights of certain machine components are normally distributed with a mean of 5.19 ounces and a standard deviation of 0.05 ounces. Find the two weights that separate the top 8% and the bottom 8%. These weights could serve as limits used to identify which components should be rejected
Answer:
The weight that separate the top 8% by 5.2605 and the weight that separate bottom 8% by 5.1195.
Step-by-step explanation:
We are given that
Mean,[tex]\mu=5.19[/tex]
Standard deviation,[tex]\sigma=0.05[/tex]
We have to find the two weights that separate the top 8% and the bottom 8%.
Let x1 and x2 the two weights that separate the top 8% and the bottom 8%.
Z-value for p-value =0.08 =[tex]-1.41[/tex]
For 8% bottom
[tex]Z=\frac{x_1-\mu}{\sigma}=-1.41[/tex]
[tex]\frac{x_1-5.19}{0.05}=-1.41[/tex]
[tex]x_1-5.19=-1.41\times 0.05[/tex]
[tex]x_1=-1.41\times 0.05+5.19[/tex]
[tex]x_1=5.1195[/tex]
For 8% top
p-Value=1-0.08=0.92
Z- value=1.41
Now,
[tex]\frac{x_2-5.19}{0.05}=1.41[/tex]
[tex]x_2-5.19=1.41\times 0.05[/tex]
[tex]x_2=1.41\times 0.05+5.19[/tex]
[tex]x_2=5.2605[/tex]
(x1,x2)=(5.1195,5.2605)
) Out of 28 people, 12 adults attended a play. What is the ratio of children to attendees
Answer:
I think the answer is 12:16 because my brother told me
Step-by-step explanation:
I dont know the answer my brother told me this answer. HOPE THIS HELPS
Annual entertainment expenses in a population of 100 families have a mean of $2040 and a standard deviation of $360.
(a) Find the mean and standard deviation of monthly expenses.
(b) What is the total amount of monthly entertainment expenses for this population?
Answer:
The correct answer is:
(a) Mean = 170,
Standard deviation = 30
(b) 1700
Step-by-step explanation:
Given:
n = 100μ = 2040σ = 360(a)
Mean of monthly expenses will be:
= [tex]\frac{\mu}{2}[/tex]
= [tex]\frac{2040}{2}[/tex]
= [tex]170[/tex]
Standard deviation will be:
= [tex]\frac{\sigma}{12}[/tex]
= [tex]\frac{360}{12}[/tex]
= [tex]30[/tex]
(b)
The total amount of monthly expenses will be:
= [tex]n\times \frac{\mu}{12}[/tex]
= [tex]100\times 170[/tex]
= [tex]1700[/tex]
in a standard deck of 52 cards what is the probability of drawing 2 jacks
Answer:
1/169
Step-by-step explanation:
There are 4 jacks in a deck of cards.
So 4/52 is the probability of drawing 1 card
The probability of drawing 2 jacks is 4/52*4/52
Solve, and that is 1/169
I hope this helps!
The total cost (in dollars) of printing x dictionaries is C(x) = 20,000 + 10x. Find the average value of the cost function over the interval [0, 700).
Answer:
The average value of the cost function over the interval is of $23,500.
Step-by-step explanation:
Average value of a function:
The average value of a function, over an inteval [a,b], is given by:
[tex]A = \frac{1}{b-a} \int_{a}^{b} f(x) dx[/tex]
In this case:
Function [tex]C(x) = 20000 - 10x[/tex], interval with [tex]a = 0,b = 700[/tex]
So
[tex]A = \frac{1}{700} \int_{0}^{700} 20000+10x dx[/tex]
[tex]A = \frac{1}{700} (20000x+5x^2)|_{0}^{700}[/tex]
So
[tex]A = \frac{20000(700)+5(700)^2}{700} = 23500[/tex]
The average value of the cost function over the interval is of $23,500.
I’ll mark u plz help
Answer:
D is the answer
Step-by-step explanation:
all sides and angles are equal
hope it helps!! let me know if it does
Simplify 6/x^2−2x/x^2+3.
Answer:
3x2−2x+6/x2
Step-by-step explanation:
have a great day <33333
What conclusion can be determined from the dot plot below?
A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12.
The number of observations is 10.
The median of the data set is 10.
The mean of the data set is 15.
The range of the data set is 12.
Joshua and his children went into a grocery store and will buy bananas and peaches. Each banana costs $0.70 and each peach costs $2. Joshua has a total of $25 to spend on bananas and peaches. Write an inequality that would represent the possible values for the number of bananas purchased, bb, and the number of peaches purchased, p.p.
What are the coordinates of the point shown on the coordinate plane?
Answer:
(5,4)
Step-by-step explanation:
The coordinates of a point are the x and y-values of a point. It is organized like (x,y). The x-value is written first and then the y-value. The x-value is the "run" or the horizontal value; so, the value of the axis on the bottom. The y-value is the "rise" or the vertical value. The axes are also labeled. For this graph, the x-value is 5 and the y-value is 4. The final answer is (5,4).
A binomial experiment consists of 11 trials. The probability of success on trial 4 is 0.41. What is the probability of success on trial 8?A. 0.71B. 0.41C. 0.39D. 0.84E. 0.14
Answer:
B. 0.41
Step-by-step explanation:
Binomial experiment:
In a binomial experiment, the probability of the success on each trial is always the same.
The probability of success on trial 4 is 0.41.
This means that the probability of success on trial 8, and all the other 10 trials, is of 0.41, and thus the correct answer is given by option B.
A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost $0.20 per square centimeter and the sides cost $0.10 per square centimeter. Find the dimensions that will minimize cost. (Let x represent the length of the sides of the square base and let y represent the height. Round your answers to two decimal places.) x
Answer:
Box dimensions:
x = 3.42 cm
y = 6.84 cm
C(min) = 14.04 $
Step-by-step explanation:
We need the surface area of the cube:
S(c) = 2*S₁ ( surface area of top or base) + 4*S₂ ( surface lateral area)
S₁ = x² 2*S₁ = 2*x²
Surface lateral area is:
4*S₂ = 4*x*h V(c) = 80 cm³ = x²*h h = 80/x²
4*S₂ = 4*80/x
4*S₂ = 320 / x
Costs
C (x) = 0.2* 2*x² + 0.1 * 320/x
Taking derivatives on both sides of the equation we get:
C´(x) = 0.8*x - 32/x²
C´(x) = 0 0.8*x - 32/x² = 0
0.8*x³ - 32 = 0 x³ = 32/0.8
x³ = 40
x = 3.42 cm
h = 80/(3.42)² h = 6.84 cm
To find out if x = 3.42 brings a minimum value for C we go to the second derivative
C´´(x) = 64/x³ is always positive for x > 0
The C(min) = 0.4*(3.42)² + 32/(3.42)
C(min) = 4.68 + 9.36
C(min) = 14.04 $
You’re making 40 servings of English custard. Each serving is 250 ml. The following recipe yields 2 L.
Calculate how much of each ingredient you will need to make enough servings of the custard.
Milk 2 L
Vanilla essence 4 ml
Sugar 200 g
Egg yolks 20
Answer:
Milk 10 L
Vanilla essence = 20 ml
Sugar = 1kg
Egg yolks 100 yolks
Step-by-step explanation:
2l/250ml = 8 servings per recipe ,
40 servings/8 = 5 "batches"
Milk 2 L * 5 = 10 L
Vanilla essence 4 ml * 5 = 20 ml
Sugar 200 g * 5 = 1000g = 1kg
Egg yolks 20 * 5 = 100 yolks
Identify the domain of the function shown in the graph.
A. -2 ≤ x ≤ 2
B. {-2,2}
C. x is all real numbers.
D. x > -2
Answer:
C. x is all real numbers
Step-by-step explanation:
Think of domain as how far the graph expands on the x-axis as asymptotes as the limits. So in this case, the graph extends infinitely on the x-axis; so it should be all real numbers.
I need help answering this question.
Answer:
6x
Step-by-step explanation:
If x is the length of one side, and each side is the same length, you will multiply it by 6 times (there are 6 sides in a hexagon).
So, you will add it up 6 times, but you can say 6x for short.
SOMEONE PLEASE HELP ASAP IM IN A TEXT NO EXPLANAION NEEDED JUST THE FUNCTION!!THANK YOU SO MUCH :)
Answer:
[tex]\frac{-1}{4} x^{2}[/tex]
[tex]\frac{-1}{4} g(x)[/tex]
Step-by-step explanation:
Change 84cm into millimetres
Answer:
840 mm
Step-by-step explanation:
multiply by 10
Answer:
840 millimetres
Step-by-step explanation:
To convert cm to mm, multiply the value in cm by 10
84cm x 10 = 840 mm
Hope this helps! <3
What is net cash flow
what is the correct equation ?
Answer:
B
Step-by-step explanation:
B is the correct equation
Divide the following complex numbers:
[tex](2 + i) \div (1 - 4i)[/tex]
Answer:
[tex]-\dfrac{2}{17} + \dfrac{9}{17}i[/tex]
Step-by-step explanation:
[tex] (2 + i) \div (1 - 4i) = [/tex]
[tex] = \dfrac{2 + i}{1 - 4i} [/tex]
[tex] = \dfrac{2 + i}{1 - 4i} \times \dfrac{1 + 4i}{1 + 4i} [/tex]
[tex] = \dfrac{(2 + i)(1 + 4i)}{(1 - 4i)(1 + 4i)} [/tex]
[tex] = \dfrac{2 + 8i + i + 4i^2}{1 + 16} [/tex]
[tex] = \dfrac{2 + 9i - 4}{17} [/tex]
[tex] = \dfrac{-2 + 9i}{17} [/tex]
[tex]= -\dfrac{2}{17} + \dfrac{9}{17}i[/tex]
The number of hurricanes that will hit a certain house in the next ten years is Poisson distributed with mean 4. Each hurricane results in a loss that is exponentially distributed with mean 1000. Losses are mutually independent and independent of the number of hurricanes. Calculate
Answer:
The variance of total loss is 8000000
Step-by-step explanation:
Let
[tex]X \to[/tex] Number of hurricane
Poisson [tex]E(X) = 4[/tex]
[tex]Y \to[/tex] Loss in each hurricane
Exponential [tex]E(Y) = 1000[/tex]
[tex]T \to[/tex] Total Loss
Required
The variance of the total loss
This is calculated as:
[tex]Var(T) = Var(E(T|X)) + E(Var(T|X))[/tex]
Where:
[tex]E(T|X) \to[/tex] Expected total loss given X hurricanes
And it is calculated as:
[tex]E(T|X) = E(Y) *N[/tex] --- Expected Loss in each hurricane * number of loss
[tex]Var(T|X) \to[/tex] Variance of total loss given X hurricanes
And it is calculated as:
[tex]Var(T|X) = Var(Y) * N[/tex] ---- --- Variance of loss in each hurricane * number of loss
So, we have:
[tex]Var(T) = Var(E(T|X)) + E(Var(T|X))[/tex]
[tex]Var(T) = Var(E(Y) * N) + E(Var(Y) * N)[/tex]
For exponential distribution;
[tex]Var(Y) = E(Y)^2[/tex]
So, we have:
[tex]Var(T) = Var(E(Y) * X) + E(E(Y)^2 * X)[/tex]
Substitute values
[tex]Var(T) = Var(1000 * X) + E(1000^2 * X)[/tex]
Simplify:
[tex]Var(T) = Var(1000 * X) + 1000^2E(X)[/tex]
Using variance formula, we have:
[tex]Var(T) = 1000^2Var(X) + 1000^2E(X)[/tex]
For poission distribution:
[tex]Var(X) = E(X)[/tex]
So, we have:
[tex]Var(X) = E(X) = 4[/tex]
The expression becomes:
[tex]Var(T) = 1000^2*4 + 1000^2*4[/tex]
[tex]Var(T) = 1000000*4 + 1000000*4[/tex]
[tex]Var(T) = 4000000 + 4000000[/tex]
[tex]Var(T) = 8000000[/tex]
an oil tank, which is a shape of a cylinder, is 3m high and has a diameter of 6m. the oil tank is two-thirds full. find the number of cubic meters of oil in the tank. use 3.14 for pi
Answer:
Step-by-step explanation:
The key is to find out the entire volume the tank can hold when it is full, then take 2/3 of that amount. The volume of a cylinder is
[tex]V=\pi r^2h[/tex] and filling in:
[tex]V=3.14(3)^2(3)[/tex] (if the diameter is 6 m, the radius is 3) so
V = 84.78 m³ when it is full all the way. If we need the amount that makes up 2/3 of that:
[tex]\frac{2}{3}(84.78)=56.52m^3[/tex]
19. Divide 6/13 by 6/12.
A. 12/13
B. 13/12
c. 1/12
D.9/16
Answer:
12/13 is the answer
Step-by-step explanation:
The histogram below shows the distribution of the assets (in millions of dollars) of 71 companies. Does the distribution appear to be normal? Why or why not?
No, the assets do not appear to follow a normal distribution, the values are evenly concentrated.
Yes, the assets appear to follow a normal distribution, the values are evenly distributed. No, the assets do not appear to follow a normal distribution, the values are concentrated in the center and taper off towards the ends.
Yes, the assets appear to follow a normal distribution, the values are concentrated in the center and taper off towards the ends.
Answer:
Yes, the assets appear to follow a normal distribution, the values are concentrated in the center and taper off towards the ends
Step-by-step explanation:
The distribution shown above is normal as it exhibits symmetry. This means thatvtge values are concentrated in the middle with the peak so situated in the middle of the distribution which is exactly what is displayed above. As we move towards either side of the center, the values begin to decrease and we have the tail at either side of the midpoint and not on one side of the distribution.
The perimeter of an equilateral triangle is 126mm.
State the length of one of its sides.
Explanation:
Divide 126 over 3. This is because any equilateral triangle has all three sides the same length
126/3 = 42
Each side is 42 mm long
So its perimeter is 3*42 = 126 mm
Side note: if your teacher says a triangle is equiangular, then it's automatically equilateral as well (and vice versa).
The length of one of its sides of an equilateral triangle is 42 mm.
What is equilateral triangle?In geometry, an equilateral triangle exists as a triangle that contains all its sides equivalent in length. Since the three sides stand equivalent therefore the three angles, opposite to the equivalent sides, stand equivalent in measure. Thus, it stands also named an equiangular triangle, where each angle measure 60 degrees.
The perimeter of an equilateral triangle exists 126 mm.
The equilateral triangle contains all three sides of the same length
126/3 = 42
Each side stands 42 mm long
So its perimeter stands 3 [tex]*[/tex] 42 = 126 mm
Therefore, the length of one of its sides = 42 mm.
To learn more about equilateral triangle
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QUICKKKKKKKKKKKKKKKKKKKKKKK
Answer:
Step-by-step explanation:
It’s G