Answer:
1. a. 1
2. a. N(10 , 1. 0050)
Step-by-step explanation:
The average time for the people waiting for the bus will be no longer than 15 minutes. There are 33 people who were observed and their waiting time did not exceed 15 minutes. The probability is therefore 1 for the wait time.
Find the area of the circle round your answer to the nearest 10th
Answer:
The area is 19.63.
Step-by-step explanation:
Step-by-step explanation:
Area of a circle is
[tex]area = \pi \: r ^{2} [/tex]
area=3.14(2.5)²
19.63in²
find x
please help!!
Answer: [tex]9\sqrt{3}[/tex]
==========================================================
Explanation:
For any 30-60-90 triangle, the short leg is always half the hypotenuse.
This makes the short leg to be 18/2 = 9 units long.
We then multiply this by [tex]\sqrt{3}[/tex] to get the length of the long leg.
[tex]\text{long leg} = (\text{short leg})*\sqrt{3}\\\text{long leg} =9\sqrt{3}[/tex]
Or you could use the pythagorean theorem to solve [tex]x^2+9^2 = 18^2[/tex] and you should get [tex]x = \sqrt{243} = 9\sqrt{3}[/tex]
Hey I really need help with this question ASAP please and thank you
[tex] - 1 + \sqrt{3} [/tex]
how do i convert 134five to base ten
Answer:
44
Step-by-step explanation:
1×5² + 3×5¹ +4×5⁰
25+15+4
44
log_c(A)=2
log_c(B)=5,
solve log_c(A^5B^3)
We know that [tex]\log_a(bc)=\log_a(b)+\log_a(c)[/tex].
Using this rule,
[tex]\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)[/tex].
We also know that [tex]\log_c(a^b)=b\log_c(a)[/tex].
Using this rule,
[tex]\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)[/tex]
Now we know that [tex]\log_c(A)=2,\log_c(B)=5[/tex] so,
[tex]5\cdot2+3\cdot5=10+15=\boxed{25}[/tex].
Hope this helps :)
Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area. In a survey of 100 viewers, 26% indicated that they watch the late evening news on this local Fox station. What is the null hypothesis
Answer:
The null hypothesis is [tex]H_0: p = 0.31[/tex]
Step-by-step explanation:
Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area.
From the claim, we get the expected proportion, that is, the value tested at the null hypothesis. Thus, at the null hypothesis, we test if the proportion is of 31%, that is:
[tex]H_0: p = 0.31[/tex]
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 70% salt. She wants to obtain 30 ounces of a mixture that is 60% salt. How many ounces of each solution should she use?
Answer:
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 180 y = 180 - x
.60x + .85y = .75(180)
.60x + .85y = 135 Multiply both sides of the equation by 100 to remove the decimal points.
60x + 85y = 13500
60x + 85(180 - x) = 13500
60x + 15300 - 85x = 13500
-25x = -1800
x = 72ounces
y = 180 - 72
y = 108 ounces
Step-by-step explanation:
Wyzant (ask an expert) solution on their website.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 88 kilograms. A delivery of 12 large boxes and 2 small boxes has a total weight of 235 kilograms. How much does each type of box weigh?
Answer:
Step-by-step explanation:
We need a system of equations here. The first equation is that 3L boxes + 5s boxes (L = large and s = small) = 88 kg so
3L + 5s = 88
12L + 2s = 235 according to the other information given.
Solve the first equation for either L or s. I'll solve for L, just because:
3L = 88 - 5s and
L = [tex]\frac{88}{3}-\frac{5}{3}s[/tex] and sub that into the second equation for L:
[tex]12(\frac{88}{3}-\frac{5}{3}s)+2s=235[/tex] and if you distribute the 12 into the parenthesis you'll simplify it down a bit to
352 - 20s + 2s = 235 and combine like terms:
-18s= -117 so
s = 6.5 kg and plug that in to solve for L:
L = [tex]\frac{88}{3}-\frac{5}{3}(6.5)[/tex] and
L = 18.5 kg
work for 12 hours and earn $140 find the unit rate
Answer:
11.60
Step-by-step explanation:
To find unit rate, you need to use the formula:
(amount of money) ÷ (amount of hours)
Since we have both, we can plug in
140 ÷ 12 will give you approximately 11.6
So, you receive $11.60 every hour.
If we add one unit to the length (l) of a rectangle that has width (w), what is its new area (NA) in terms of its old area (A)?
NA = A x w
NA = A + w
NA = A + l
NA = A
NA = A + W
By adding one unit to length, we increase the overall area by the width of the rectangle. This is because the formula for the area of a rectangle is A = l x w. So, NA = (l + 1) x w = (l x w) + w = A + w.
Which equation can be used to find the length of Line segment A C?
Answer:
I don't see the problem.
Step-by-step explanation:
Kofi is 3 years older than Ama.If Ama is now x years old, what is kofi age
Answer:
x+3
Step-by-step explanation:
Kofi is 3 years older than Ama, so the answer is "x+3".
Value of x
1\5(x)(1/5)=6/3(5/1)
Answer:
1/25=3/30
1250=
2501
2389
5552
Y=(x-7)m solve for x
Answer:
Here's the answer i believe. x = y/m + 7
What is the volume of the prism below?
19.80 cubic units
553.02 cubic units
84.17 cubic units
42.09 cubic units
The volume of prism is,
⇒ V = 42.09 cubic units
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Base = 5.12
height = 4.11
Lenght = 4
Now, We can formulate;
The value of volume of prism is,
⇒ V = 1/2 (b x h) l
⇒ V = 1/2 (5.12 x 4.11) 4
⇒ V = 42.09 cubic units
Thus, The volume of prism is,
⇒ V = 42.09 cubic units
Learn more about the multiplication visit:
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Find the length of the missing sides. Round your answers to the nearest tenth. 8 y x 21
Answer:
x = 20.8
y = 22.3
Step-by-step explanation:
tan(21) = 8/x
or, x = 8/tan(21)
or, x = 20.8 (rounded to the nearest tenth)
sin(21) = 8/y
or, y = 8/sin(21)
or, y = 22.3 (rounded to the nearest tenth)
Answered by GAUTHMATH
Find the domain of the function.
f (x) =2/5x+4
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
The domain of the function is (-∞, ∞)
hope this helps!
Rachel needs to stop at the florist shop on her way to the hospital to see her Uncle Joey. Each square's side length is 1 block. How many blocks will she need to walk to reach the hospital?
Answer:
24 Blocks
Step-by-step explanation:
Just Do It :)
Answer:24 blocks i think
Step-by-step explanation:
The following list shows the colours of a random selection of sweets.
red green red blue pink red
yellow pink blue yellow red yellow
Select the type of the data.CHOOSE ONE PLEASE HELP
Discrete
Continuous
Categorical
Quantitative
Answer:
Categorical or Continuous.
Step-by-step explanation:
Because the red appears in each colours (continuous)
40 percent of the teachers at a meeting are male.
Of the male teachers at the meeting, 20 percent
teach mathematics. Which of the following
could be the possible number of teachers at the
meeting?
(A) 60
(B) 64
(C) 72
(D) 75
(E) 80
Answer:
D. 75
Step-by-step explanation:
To find the possible number of teachers at the meeting, find which answer choice creates a whole number answer when calculating the 40% of teachers that are male and the 20% of them that teach math.
This number is answer choice D, 75.
40% of 75 is 30.
Of those 30 teachers, 20% of 30 is 6.
So, since each quantity is a whole number, this could be the possible number of teachers at the meeting.
The correct answer is D. 75
An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 47.0. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
Test statistic = 1.664
Step-by-step explanation:
The hypothesis :
H0 : μ = 47.2
H1 : μ ≠ 47.2
Given that :
Sample mean, xbar = 47
Sample size, n = 250
Standard deviation, σ = 1.9
The test statistic :
(xbar - μ) ÷ (σ/√(n))
T = (47 - 47.2) ÷ (1.9/√(250))
T = (0.2 / 0.1201665)
Test statistic = 1.664
constant of proportionality
Answer:
4.2
Step-by-step explanation:
Constant of proportionality = y/x = 8.4 / 2 = 4.2
A teacher finishes explaining a new concept to the class and wants to check that all the students have grasped the concept. The teacher asks those who do not understand to raise their hands. This process leads to which of the following bias(es)?
a) Response bias
b) Measurement bias
c) Both response bias and measurement bias
d) neither response bias nor measurement bias
Answer:
response bias
Step-by-step explanation:
because whan you are asked a question you expect response in return
Which function has a domain and range that includes all real values?
Answer:
the third one
the line extends in both ways forever
A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches, what is the volume of air inside the cube? (Round to the nearest tenth.)
1357.1 cubic inches
1244.1 cubic inches
1887.4 cubic inches
1226.0 cubic inches
The volume of air inside the cube is 1887.4 cubic inches. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches.
Then the volume of air inside the cube will be given as the difference between the volume of the cube and the sphere.
Air volume = Volume of the cube - Volume of the sphere
Air volume = 12.6³ - 113
Air volume = 2000.376 - 113
Air volume = 1887.376
Air volume ≅ 1,887.4
More about the geometry link is given below.
https://brainly.com/question/7558603
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Answer:
1887.4 cubic inches
Step-by-step explanation:
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answer:
x=5
Step-by-step explanation:
im so bad at explaining things but i hope this helped
1/1*2 +1/2*3+...+1/n(n+1)= n/n+1 proof by mathematical induction
I need this asap!!
Base case (n = 1):
• On the left side: 1/(1×2) = 1/2
• On the right side: 1/(1 + 1) = 1/2
Induction hypothesis: Assume the statement is true for n = k ; that is,
1/(1×2) + 1/(2×3) + … + 1/(k × (k + 1))) = k/(k + 1)
Inductive step (n = k + 1):
1/(1×2) + 1/(2×3) + … + 1/(k × (k + 1))) + 1/((k + 1) × (k + 2)))
= k/(k + 1) + 1/((k + 1) × (k + 2))
= (k × (k + 2) + 1) / ((k + 1) × (k + 2))
= (k ² + 2k + 1) / ((k + 1) × (k + 2))
= (k + 1)² / ((k + 1) × (k + 2))
= (k + 1) / (k + 2)
and this is what we wanted to show.
A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. Make a 3 x 3 matrix showing the wire requirements. Assign the cable types to the rows and the wire types to the columns.
A) [2 1 2 1 2 1 2 1 3].
B) [3 3 2 1 2 1 2 1 1].
C) [3 1 2 3 2 1 2 1 2].
D) [2 1 3 1 2 1 2 1 2].
Answer:
The answer is (B) but with 2 as the last item in the matrix, instead of 1.
Step-by-step explanation:
The grand topic is MATRICES.
In Matrices, there are rules to follow when creating a matrix - which is a 'row by column' arrangement of objects or figures.
Rule 1: Identify your rows and columns.
What is a row? A row is a 'left to right' arrangement of items; also called a horizontal arrangement of items. What is a column? A column is an 'up to down' arrangement of items; also called a vertical arrangement of items.
Rule 2: Start your arrangement by rows.
Before reaching the instruction in the question, I already arranged the data for cables on the rows and the data for wire colors on the columns. You should follow this rule always; from the first information given in the question.
Rule 3: Nomenclature
This is the naming of a given matrix. In naming a matrix, consider the rows first before the columns. For example, a matrix with three rows and four columns with be called a 3 by 4 matrix and not a 4 by 3 matrix. In the case of this question, there is an equal number of rows and columns, so even if you counted the columns first, it wouldn't be noticed. Nevertheless, always count the rows first.
Having arranged the figures in a 3 by 3 matrix,
The full data on Cable A appears on the first row. The full data on Cable B appears on the second row. The full data on Cable C appears on the third row.
The full data on Black wires appears on the first column. The full data on White wires appears on the second column. The full data on Red wires appears on the third column.
So the answer is [tex]\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right][/tex]
Kudos!
A company is planning its spring advertising campaign. Its marketing team is planning to mail out different types of advertisements, at random, to their town's residents each week. They have the following types of advertisements ready:
Week 1 Week 2 Week 3
Small Poster Brochure Business Card
Brochur Leaflet Postcard
Postcard Small Poster
How many different possible ways can a resident receive an advertisement?
Answer:
The answer is "18".
Step-by-step explanation:
Amount of different methods a resident could get an advertisement:
[tex]=2\times 3 \times 3\\\\= 18[/tex]
Answer:
The Answer is 18
Step-by-step explanation:
2*3*3
Analyze the diagram below and complete the instructions that follow. Find a, b, and c.
Answer:
The correct answer is the letter C.
Step-by-step explanation:
We can use the following trigonometric identity:
[tex]cos(60)=\frac{6}{b}[/tex] (1)
[tex]cos(45)=\frac{c}{b}[/tex] (2)
Solving each equation by b and equaling we have:
[tex]\frac{6}{cos(60)}=\frac{c}{cos(45)}[/tex]
[tex]\frac{6}{cos(60)}=\frac{c}{cos(45)}[/tex]
Let's recall that:
[tex]cos(45)=\frac{1}{\sqrt{2}}[/tex]
[tex]cos(60)=\frac{1}{2}[/tex]
Then we have:
[tex]c=\frac{cos(45)*6}{cos(60)}[/tex]
[tex]c=\frac{2*6}{\sqrt{2}}[/tex]
[tex]c=\frac{12}{\sqrt{2}}[/tex]
[tex]c=6\sqrt{2}[/tex]
Using equation (1) we can find b.
[tex]cos(60)=\frac{6}{b}[/tex]
[tex]b=12[/tex]
Finally, we can find a using the next equation:
[tex]tan(60)=\frac{a}{6}[/tex]
[tex]a=6*tan(60)[/tex]
[tex]a=6\sqrt{3}[/tex]
Therefore, the correct answer is the letter C.
I hope it helps you!
