Answers:
(a) 1/10(b) 3/10(c) 3/10(d) 2/5===========================================
Explanations:
Part (a)
There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.
---------------------
Part (b)
The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.
---------------------
Part (c)
A square number, aka a perfect square, smaller than 10 is the list {1,4,9}
Since 1 = 1^2, 4 = 2^2 and 9 = 3^2
Like part (b), we end up with the same result of 3/10.
---------------------
Part (d)
The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.
So we end up with 4/10 = 2/5.
petrol and engine oil has to mix in the ratio 5 : 2 for a certain motorcycle how much engine oil is needed to mix with 10 litres of petrol
Answer:
Step-by-step explanation:
Set this up as a ratio of proportions of petrol : oil
[tex]\frac{p}{o}[/tex] and if the ratio of the mix has to be 5p to 2 oil then:
[tex]\frac{p}{o}:\frac{5}{2}[/tex] We need to find how much oil, x, is needed to mix with 10 liters of petrol. Completing the proportion with that ratio gives us the problem in its entirety:
[tex]\frac{p}{o}:\frac{5}{2}=\frac{10}{x}[/tex] and cross multiply
5x = 20 so
x = 4 liters of oil are needed to mix with 10 liters of petrol.
Check my work
Concerns about climate change and CO2 reduction have initiated the
commercial production of blends of biodiesel (e.g., from renewable sources)
and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are
tested in a lab to ascertain the bio/total carbon ratio.
(a) If the true mean is.9200 with a standard deviation of 0.0050, within what
interval will 99 percent of the sample means fall? (Round your answers to 4
decimal places.)
The interval is from
to
(
A delivery truck manager takes a sample of 25 delivery trucks and calculates the sample mean and sample standard deviation for the cost of operation. A 95% confidence interval for the population mean cost is constructed and found to be $253 to $320. He reasons that this interval contains the mean operating cost for the entire fleet of delivery trucks since the sample mean is contained in this interval.
Required:
a. Do you agree with his reasoning?
b. How would you interpret this confidence interval?
c. Is this an appropriate use of a confidence interval?
d. Concerning your answers to parts a through c, what assumptions did you make (if any)? Does the Central Limit Theorem apply? Why or why not?
e. How does this apply or could apply to your profession?
Answer:
a) No.
b) Lies between 253 and 320.
c) No.
d) Central limit theorem is not applicable here.
e) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision
Step-by-step explanation:
1) No I do not agree, it's just because the mean should be always within the confidence interval. in this case, the above statement doesn't satisfy the condition.
2)The true mean values at 95% confidence interval lies between 253 and 320.
3) No, because this is only used for the difference in mean. If there is a difference then the mean is different.
4) Central limit theorem is not applicable here. Since the sample size is very small, it better to use t distribution rather which indicated normal data.
in case the sample size is greater than 30, we can then apply the central limit theorem.
5) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision.
|x+2|+4=11
A) x=5,-9
Answer:
the mod always gives positive answers
so the answer will be
Step-by-step explanation:
x+2+4=11
x+6=11
x=11-6
x=5
answer is x is 5
Answer:
x=5,9
Step-by-step explanation:
|x+2|+4=11
|x+2| = 7
next you get two answers by adding two or subtracting two. SO the right answer should be 5 and 9. A is wrong . I DONT SEE THE OTHER ANSWER CHOICES BUT THIS IS WHAT I GOT.
Over what interval is the function decreasing? f(x)=(3−x)^2 + 5
Answer: It decreases on the interval (-infinity, 3)
This is the same as saying -infinity < x < 3, or simply x < 3
=============================================================
Work Shown:
f(x) = (3−x)^2 + 5
f(x) = (-x+3)^2 + 5
f(x) = (-1(x-3))^2 + 5
f(x) = (-1)^2*(x-3)^2 + 5
f(x) = 1(x-3)^2 + 5
The last equation is in the form y = a(x-h)^2 + k
We have a = 1, h = 3 and k = 5
The vertex is (h,k) = (3,5)
Since 'a' is positive, this means the function decreases on the left and increases on the right (forming a parabola that opens upward). See below.
So the function is decreasing when x < 3, which represents everything to the left of the vertex.
We can expand that out to -infinity < x < 3 which converts to the interval notation (-infinity, 3)
2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
Previous Question
Question 1 (Answered)
ON
Type here to search
O
BE
C
84'F Rain coming
AG
Answer:
the slopes are different, and the y-intercepts are also different
Step-by-step explanation:
We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b
Let's rewrite each equation:
✔️5x + 2y = 2
Subtract 5x from each side
2y = -5x + 2
Divide both sides by 2
y = -5x/2 + 2/2
y = -⁵/2(x) + 1
The slope (m) = -⁵/2
y-intercept (b) = 1
✔️3x - 3y = 18
Subtract 3x from each side
-3y = -3x + 18
Divide both sides by -3
y = -3x/-3 + 18/-3
y = x - 6
Slope (m) = 1
y-intercept (b) = -6
✅Therefore, the slopes are different and the y-intercepts are also different
PYTHAGORAS
work out the side of b.
give your answers to one decimal place
Answer:
12 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = 12 cm
c = 17 cm
Step 2: Solve for b
Substitute in variables [Pythagorean Theorem]: 12² + b² = 17²Evaluate exponents: 144 + b² = 289[Subtraction Property of Equality] Subtract 144 on both sides: b² = 145[Equality Property] Square root both sides: b = √145[√Radical] Evaluate: b = 12.0416Round: b ≈ 12.0increase 6800 by 12%
Answer:
Step-by-step explanation:
6,800, percentage increased by 12% (percent) of its value = 7,616
20, percentage increased by 1,000% (percent) of its value = 220
1,000,000, percentage increased by 0.49% (percent) of its value = 1,004,900
Answer:
7616
hope it helps
mark brainliest please
số 37 không có ước nào là số nguyên tố
nhận xét trên đúng hay sai ?
Chào Đứa bé!!
Được thôi, nếu vậy câu trả lời cho của bạn câu hỏi là có/thật
I hope it helps u!!
Just comment if u have any questions :-)
HW HELP ASAP PLZZZZZ
Answer:
3
Step-by-step explanation:
I think its 3 because when we add 2 to x the graphic must be continue two step to right
Instructions: Find the area of the sector. Round your answer to the nearest tenth.
I’ll mark brainliest please help
Answer:
75.7m^2
Step-by-step explanation:
[tex] \frac{30}{360} \times \pi {r}^{2} \\ \frac{30}{360} \times \frac{22}{7} \times {17}^{2} \\ \frac{1}{12} \times \frac{22}{7} \times 289 \\ 75.6904761905 = 75.7[/tex]
Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant
[tex]\sqrt{2.3} multiplied \sqrt{2.3[/tex]
Answer:
2.3
Step-by-step explanation:
if you mean √2.3×√2.3 then the answer is 2.3 because √2.3×√2.3= (√2.3)² and that square cuts the square root and what remains is 2.3 which is the answer.
Which function has the domain x greater-than-or-equal-to negative 11?
Given:
Consider the below figure attached with this question.
To find:
The function that has the domain [tex]x\geq -11[/tex].
Solution:
We know that, a radical function is defined for only non negative radicand.
In option A, the function is defined if
[tex]x+11\geq 0[/tex]
[tex]x\geq -11[/tex]
The domain of this function is [tex]x\geq -11[/tex]. So, option A is correct.
In option B, the function is defined if
[tex]x-11\geq 0[/tex]
[tex]x\geq 11[/tex]
The domain of this function is [tex]x\geq 11[/tex]. So, option B is incorrect.
In option C and D, the function is defined if
[tex]x+5\geq 0[/tex]
[tex]x\geq -5[/tex]
The domains of these function are [tex]x\geq -5[/tex]. So, options C and D are incorrect.
Hence, option A is correct.
Answer:
A
Step-by-step explanation:
Match each inequality to the number line that represents its solution
Answer:
x - 51 [tex]\leq[/tex] 43
x - 99 [tex]\leq[/tex] -104
75 < 69 - x
150 + x ≤ 144
Step-by-step explanation:
Could you help me answer 2a, b, c and d? See the image below.
Answer:
2a. 1/4
2b. 2/8
2c. yes, 1/4 = 2/8 because
2 / 8 = 2 ÷ 2 / 8 ÷ 2 = 1 / 4.
2d. the total number of parts doubled in the denominator, the number of parts represented in the numerator doubled as well.
The operations of division and multiplication are made proportionally to the numerator and denominator.
The half-life of radium-226 is 1620 yr. Given a sample of 1 g of radium-226, the quantity left Q(t) (in g) after t years is given by:
Q(t)= 1/2^t/1620
Required:
a. Convert this to an exponential function using base e.
b. Verify that the original function and the result from part (a) yield the same result for Q(0), Q(1620), and Q(3240).
Answer:
(a)[tex]e^{-0.000428 t}[/tex]
Step-by-step explanation:
We are given that
Half life of radium-226=1620 yr
The quantity left Q(t) after t years is given by
[tex]Q(t)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]
a. We have to convert the given function into an exponential function using base e.
[tex]Q(t)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]
=[tex]((\frac{1}{2})^t)^{\frac{1}{1620}[/tex]
=[tex]e^{ln(1/2) t/1620}[/tex]
[tex]=e^({\frac{ln(1/2)}{1620}t)[/tex]
=[tex]e^{-0.000428 t}[/tex]
(b)
[tex]Q(0)=e^{-0.000428 \times 0}[/tex]
=1
From original function
Q(0)=1
[tex]Q(1620)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]
[tex]Q(1620)=\frac{1}{2}=0.5[/tex]
From exponential function
[tex]Q(1620)=e^{-0.000428 \times 1620}[/tex]
[tex]=0.499\approx 0.5[/tex]
[tex]Q(3240)=(\frac{1}{2})^{\frac{3240}{1620})=0.25[/tex]
[tex]Q(3240)=e^{-0.000428 \times 3240}[/tex]
Q(3240)=0.249=[tex]\approx 0.25[/tex]
Hence, verified.
Which term describes the ability to repay debt?
A
capacity
B.
creditworthiness
c. capability
Answer:
B. CreditworthinessStep-by-step explanation:
❣️(◍•Jess bregoli•◍)❣️#keep learning!!Answer:
B
Step-by-step explanation:
what is the midpoint of the segment shown below? (3,5) (2,2)
Answer:
(5/2, 7/2)
Step-by-step explanation:
Use the midpoint formula to solve for the midpoint:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\\\(\frac{3+2}{2},\frac{5+2}{2})\\\\(\frac{5}{2},\frac{7}{2})[/tex]
please help me i will give brainlist to the correct answer
Answer:
<ABC = 27
< BAC = 126
Step-by-step explanation:
<C = <B since it is an isosceles triangle. We know this since AC - AB
<C = 27 so <ABC = 27
The sum of the angles of a triangle = 180
A + B+ C = 180
A + 27+27 = 180
A + 54 =180
A = 180-54
A =126
< BAC = 126
HELP ME PLSSSS!!!
f(x) = x2 What is g(x)?
A. g(x) = 2x²
B. g(x)=1/2x2
C. g(x)=(1/2x)2
D. g(x)=1/4x2
Answer:
B. g(x)=1/2x2
Step-by-step explanation:
Function f(x):
[tex]f(x) = x^2[/tex]
At [tex]x = 2, y = f(2) = 2^2 = 4[/tex]
Function g:
Function g is a division of function f by a value. When [tex]x = 2, y = 2[/tex], that is, the value of f is divided by two, and thus, the correct answer is given by option b.
Describe, in your own words, what "convenience sampling" is. 1 point
Answer:
It is a type of non-probability sampling that involves the sample being drawn from that part of the population that is close at hand
A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean, µ for the probability distribution.
x P(x)
-500 0.076
-250 0.191
0 0.265
250 0.316
500 0.152
Answer:
The mean is [tex]\mu = 69.25[/tex]
Step-by-step explanation:
We are given the following distribution:
P(x = -500) = 0.076
P(x = -250) = 0.191
P(x = 0) = 0.265
P(x = 250) = 0.316
P(x = 500) = 0.152
Find the mean, µ for the probability distribution.
To find the mean, we multiply each outcome by its probability. So
[tex]\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25[/tex]
The mean is [tex]\mu = 69.25[/tex]
Ricky is playing a racing game on PS5.
• He earns 20 points every 1 level he passes.
• He earns 24 points for every 15 laps.
• He drove 45 laps and passed 6 levels.
How many points did Ricky earn?
Answer:
192 points
Step-by-step explanation:
he earned 120 points for passing 6 levels and getting 20 points per level
he earned 72 points for racing 45 laps and getting 24 points per every 15 laps
A square has an area of 81 cm2.
Find the perimeter of the square
Area = side²
=> 81cm² = side ²
=> √81cm² = side
=> 9cm = side
Perimeter = 4 × side
=> Perimeter = 4 × 9cm
=> Perimeter = 36cm
Step-by-step explanation:
[tex]here \: is \: your \: solution : - \\ \\ Given :- \\ \\ = > area \: of \: square \: = 81cm {}^{2} \\ \\ = > we \: need \: to \: find \: perimeter \\ \\ for \: this \: we \: have \: to \: find \: its \: side. \\ \\ = > area \: of \: square \: = side { }^{2} \\ \\ = > side {}^{2} = 81cm {}^{2} \\ \\ = > \: side \: = \sqrt{} 81cm \\ \\ = > side = \sqrt{9 \times 9} \\ \\ = > side \: = 9 \: cm \\ \\ now \: we \: can \: find \: (perimeter) \\ \\ = > perimeter \: of \: square \: = 4 \times side \\ \\ = > perimeter = (4 \times 9 )cm \\ \\ = > perimeter \: of \: square = 36cm \\ \\ HOPE \: IT \: HELPS \: (. ❛ ᴗ ❛.)[/tex]
Butch will miss an important TV program while taking his statistics exam, so he sets
both his VCRs to record it. The first one records 70% of the time, and the second one
records 60% of the time. What is the probability that he gets home after the exam and
finds? (We assume that events A and B are independent, so with P(A)=0.7 and
P(B) = 0.6 respectively.)
(a) No copies of his program?
(b) One copy of his program?
Answer:
b
Step-by-step explanation:
this because both VCSs were recording on the same time hence Butch will have two copies of record and the A vcr having an Extra of what B vcr will
ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=3). write your answer as a fraction.
Given:
The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed.
To find:
The probability [tex]P(T=3)[/tex].
Solution:
In the given table T represents the number of tails.
From the given table it is clear that the value of probability is [tex]\dfrac{1}{8}[/tex] and [tex]T=3[/tex]. So,
[tex]P(T=3)=\dfrac{1}{8}[/tex]
Therefore, the probability [tex]P(T=3)[/tex] is equal to [tex]\dfrac{1}{8}[/tex].
There are 13 apples in a basket. 4 of these apples are green. The rest are red. what is the ratio?
Answer:
9:4 4:13
Step-by-step explanation:
Answer:
a) 9:4 b) 13 : 9
Step-by-step explanation:
13 = total
4 = green
13-4 ( which Is 9) = red
Ratio of red apples to green apples?
9:4
RATIO of all apples to red
13: 9
Find the area of this regular polygon. Round to the nearest tenth. 8.8 ft
Answer:
I don't really know but I'm pretty sure u can fix it and answer this question
-1/13-10/39 in lowest terms
Step-by-step explanation:
the answer is already as simplified as it could be
How to Factor 4n^3-49n
Answer:
n (2n-7) (2n+7)
Step-by-step explanation:
Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.