Answer:
a. H0: μ<14
H1: μ≥14
Step-by-step explanation:
Mean symbol:
The mean symbol is given by [tex]\mu[/tex]
A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.
At the null hypothesis, we test if the proportion is of less than 14 oz, that is:
[tex]H_0: \mu < 14[/tex]
At the alternative hypothesis, we test if this proportion is of at least 14 oz, that is:
[tex]H_1: \mu \geq 14[/tex]
So the correct answer is given by option a.
312/132 (fraction simplified as a mixed number)
Answer:
2.3636363636 or 2 4/11
Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?
Answer:
3
Step-by-step explanation:
+2
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 14 cups of coffee, using 204 ounces of coffee, while collecting a total of $16.70. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answer:
Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
Step-by-step explanation:
Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.
Since a total of 14 cups of coffee was served:
[tex]a+b+c=14[/tex]
A total of 204 ounces of coffee was served. Therefore:
[tex]10a+14b+20c=204[/tex]
A total of $16.70 was collected. Hence:
[tex]0.95a+1.15b+1.5c=16.7[/tex]
This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.
From the first equation, let's subtract a and b from both sides:
[tex]c=14-a-b[/tex]
Substitute this into both the second and third equations:
[tex]10a+14b+20(14-a-b)=204[/tex]
And:
[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]
In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:
For the Second Equation:
[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]
And for the Third:
[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]
We can solve this using substitution. From the second equation, isolate a:
[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]
Substitute into the third:
[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]
Distribute and simplify:
[tex]-4.18+0.33b-0.35b=-4.3[/tex]
Therefore:
[tex]-0.02b=-0.12\Rightarrow b=6[/tex]
Using the equation for a:
[tex]a=7.6-0.6(6)=4[/tex]
And using the equation for c:
[tex]c=14-(4)-(6)=14-10=4[/tex]
Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
12=x/5............................
Answer:
answer :
12 = x / 5
12 × 5 = x
60 = x
or
x = 60
I need help ASAP!!!!
Step-by-step explanation:
Kindly find 4 attached files
The proportionality is determined by the lines that only passes through the origin
And all the lines drawn are passing through the origin
So by either one of the 2 ways
By using rule of direct variation y=kx that has no y intercept
Or by finding the equation of straight line and find the slope with neglecting the y intercept since it's 0
Determine whether the following event is mutually exclusive or not mutually exclusive.
Choosing a student who is a mathematics major or a business major from a nearby university to participate in a research study. (Assume that each student only has one major.)
Answer:
The event is mutually exclusive.
Step-by-step explanation:
Mutually exclusive events are events that cannot exist simultaneously.
Thus, events that are not mutually exclusive can exist simultaneously.
Since each student only has one major, a single student cannot be both a mathematics major and a business major.
So, the event is mutually exclusive.
|-5| >3 true or false plssssss answer it’s important
Answer:
TRUE
Step-by-step explanation:
Those lines around the -5 mean the absolute value of the number, basically the value of the number without any negative signs. SO the absolute value of -5 is just 5.
5 IS GREATER than 3, so this is true
ur welcome :)
Which set of ordered pairs represent a function? O A {(1,0), (2,1), (2,3)} O B{(1,3), (1,4), (1,5)} O C{(1,5), (2,5), (3,5)} O D{(3, 1), (2, 2), (3, 3)}
Answer:
C
Step-by-step explanation:
C is the only answer that doesnt share x-values
What is the slope of the line?
Answer:
3/1
Step-by-step explanation:
Answer:
[tex]-3[/tex]
Step-by-step explanation:
The slope of the line is -3 because to get to one point from another point, you would need to go down 3 and right 1 which is -3/1, and that is also just -3
Hope this helps
Write .125 as a fraction reduced to lowest terms.
Answer:
125 as a fraction is 1/8.
0.125 = 125/1000. We can reduce this to lowest terms by dividing the numerator and denominator by 125 to get the equivalent fraction 1/8.
Step-by-step explanation:
hey mate hope it cleared your problem!!
13. The pair of figures are congruent. Find the value of e.
37°
10 ft
8 ft
53°
6 ft
Answer:
No solution is possible from the provided information
Step-by-step explanation:
Find an equation for the line perpendicular to y= -4/3x+5 with y-intercept (0,-12). Write the answer in slope-intercept form
Answer:
y=3/4x−12.
Step-by-step explanation:
Slope of the perpendicular line is negative inverse: m=34.
The equation of the perpendicular line is y=3x4+a.
To find a, we use the fact that the line should pass through the given point: −12=(34)⋅(0)+a.
a=−12.
Therefore, the equation of the line is y=3x4−12.
If this helps you, please give bainliest!
Find f(2) if f(x) = (x + 1).
Answer:
The awnser should be 3.
Step-by-step explanation:
if f(x) means the same thing as x + 1. Than that means f = 1. So if re write the question. 1 plus 2 equals 3.
A knight wanted to visit a princess.
He had to arrive at exactly 17h00.
If he travelled at 15 km per hour, he would arrive one hour too early.
If he travelled at 10 km per hour, he would arrive one hour too late.
Questions : 1- At what time did he leave?
2- What distance did he travel?
3- At what speed did he travel?
Answer:
He had to arrive at 5:00pm
If he traveled at 15km per hour, he would arrive one hour too early
If he traveled at 10km per hour, he would arrive one hour too late.
At what time did he leave, what distance did he travel, and at what speed did he travel
:
Let d = distance traveled
:
Write an time equation; time = dist/speed
Travel time at 10 km/hr - travel time at 15 km/h = 2 hrs
d%2F10 - d%2F15 = 2
Multiply by 30
3d - 2d = 30(2)
d = 60 km is the distance
:
Find the travel time at 15 km/hr
60%2F15 = 4 hrs
:
let s = speed required to get there on time
:
required travel time - 15km/hr travel time = 1
60%2Fs - 4 = 1 hr
60 - 4s = 1s
60 = 1s + 4s
60 = 5s
s = 12 km/hr to arrive on time
:
Required travel time: 60%2F12 = 5 hrs
He would have to leave at noon
;
Summarize, depart at noon, travel for 5 hrs at 12 km/hr, a dist of 60 km
Step-by-step explanation:
Stats question what are the main difference between frequenting and Bayesian
Answer:
The frequentist believes that probability represents long term frequencies of repeatable events (such a flipping a coin). Frequentists do not attach probabilities to hypotheses or unknown values. On the other hand, the Bayesian approach uses probabilities to represent the uncertainty in any event or hypothesis.HOPE IT HELPS
please answer the question first then explain
Answer:
Option A.
Step-by-step explanation:
If I have two variables b and c and a constant of 10. I can write that problem like this:
10b = c
For example, my factory today will make 20 books:
10×20 = c
$ 200 = c
Which mathematical operation changes 2amd 1/3 to 2
the addition sign thus 2+1÷3=2
whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble
Answer: 3/14
Step-by-step explanation:
Number of red marbles = 4
Number of green marbles = 6
Number of white marbles = 1
Number of blue marbles = 3
Total number of marbles = 14
Therefore, the probability of drawing one blue marble will be:
= Number of blue marbles / Total number of marbles
= 3/14
What is the difference of the rational expressions blow 4x/9 - 2x/9
Step-by-step explanation:
answer in the photo above look
For the following right triangle find the side length x
Answer:
the answer should be 120 as the hypotenuse is obtained by √(a²+b²=c² )
Answer:
x = 17
Step-by-step explanation:
We're given a right triangle with the measures of two legs . We're also given as measures of hypotenuse as x .We need to find x.
Using Pythagorean theorem
a ² + b ² = c²
Where, a and b is the length of measures of legs and c is the measures of hypotenuse.Lebels the values , we get
( 15 ) ² + ( 8 )² = ( x ) ²
Expand the exponent
225 + 64 = x²
Add the numbers
289 = x²
Taking square root of both side
√289 = √x²
17 = x.
Hence, the length of side x is 17.
Which percentage is the best estimate for the shaded area under this normal curve?
=========================================================
Explanation:
It appears that -20 is the mean. It's not entirely clear however. If that assumption is correct, then the distance from -30 to -20 is 10 units. So the left endpoint is 1 standard deviation below the mean (because the standard deviation is 10 units).
Recall that through the empirical rule, roughly 68% of the distribution is within 1 standard deviation of the mean. This cuts in half to 34%. So the area from x = -30 to x = -20 is roughly 0.34
We'll use this value later so let A = 0.34
-------------------
The area under the curve from x = -20 to x = -10 is also 0.34
The area under the curve from x = -20 to x = 0 is 0.95/2 = 0.475
For the second part there, I'm using the idea that 95% of the normal distribution (roughly) is within 2 standard deviations of the mean.
So the area from x = -20 to x = -5 is somewhere between 0.34 and 0.475
Let B = 0.34 and C = 0.475
-------------------
The full shaded blue area is somewhere between A+B = 0.34+0.34 = 0.68 and A+C = 0.34+0.475 = 0.815
Based on that alone, the answer is between B and C.
-------------------
Unfortunately, we can't nail down an actual value unless we use a Z table or a calculator.
When I use a calculator, I'm getting 0.7745 (approximate) which rounds to 0.775 and converts to 77.5%
As for how to get this without a table or calculator, I'm not entirely sure what your teacher wanted you to do.
A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?
đường cầu về tiền có hướng nghiêng dốc xuống thể hiện?
An isosceles triangle has legs of length 12 and base angles that measure 28°. What is the measure of its base to the nearest tenth? Be careful on this one.
Answer:
base = 21.2
Step-by-step explanation:
Let the base be 2x
Drawing a perpendicular bisector divides the bases into 2 equal parts.
Then using trigonometric ratio :
[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex] , [tex][ \ where \ \theta = 28^{ \circ} , \ adjacent = x,\ hypotenuse = 12 \ ][/tex]
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the base of the isosceles triangle is 21.19 units.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
In order to solve the problem, we will draw a line between the triangle such that it will bisect the angle at the top(∠A) and the base(BC). As shown in the image below.
Now, as we know that the line(AD) is perpendicular to the base(BC) of the isosceles triangle, therefore, using the function of trigonometry in the Δ ABD we can write,
[tex]Cos \theta=\dfrac{BD}{AB}\\\\\\Cos (\angle B)=\dfrac{BD}{12}\\\\\\Cos 28^o \times 12={BD}\\\\BD = 10.5953[/tex]
Now, we know that the line BD divides the base BC into two equal parts, therefore, BD=BC.
BC = BD + DC
BC = 10.5953 +10.5953
BC = 21.19 units
Hence, the length of the base of the isosceles triangle is21.19 units.
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
Translate the following sentence into an algebraic inequality: Three times a number, v, added to eight is greater than or equal to twenty-two. Question 7 options: A) 3v + 8 > 22 B) 3v + 8 ≥ 22 C) 3v + 8 ≤ 22 D) 3v + 8 < 22
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]3v + 8 \geq 22[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Breaking down the phrase...}}\\\\\text{Three times a number, v, added to eight is greater than or equal to twenty-two. }\\------------------\\\rightarrow \text{"Three times a number, v..."} - 3v \text{ This expresses the product of '3' and 'v'.}\\\\\rightarrow \text{"added to eight..."} - + 8 \text{ The product gets added to eight.}\\\\--------------\\\text{The First Part Is:}}\\\\3v + 8\\---------------\\\rightarrow \text{is greater than or equal to twenty-two. } - \geq 22[/tex]
[tex]\text{The value of '3v + 8' is greater than or equal to 22.}\\---------------\\\text{\underline{Putting it together, we would have:}}\\\\\boxed{3v + 8 \geq 22}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been placed. Suppose the orders follow a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose your city contains 800,000.
a. What is the probability that a technician is required after a one-week period?
b. If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?
Answer:
0.3233
0.09
Step-by-step explanation:
Given that :
Mean, λ = 0.25 for a 100,000 per week
For a population of 800,000 :
λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week
Probability that technician is required after one week ;
After one week, order is beyond 2 ; hence, order, x ≥ 3
P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]
P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)
P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10
P(x ≥ 3) = 1 - e^-2 * 10
P(x ≥ 3) = 1 - 0.6766764
P(x ≥ 3) = 0.3233
B.)
Mean, λ for more than 2 weeks = 2 * 2 = 4
P(x < 2) = p(x = 0) + p(x = 1)
P(x < 2) = e^-4(0 + 4^1/1!)
P(x < 2) = e^-4(0 + 4) = e^-4(5)
P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915
P(x < 2) = 0.09
Mckenna kept track of the number of miles she rode her horse each day for 2 weeks 3.2.8, 8, 2,8, 8, 10, 4, 0, 0, 0, 0, 0, 0, 0 Part A Find the measures of center and variability that best summarize Mckenna's data. Use the dropdown menus to explain your reasoning, Choose The Choose is the best measure hours, is the best measure of center, so the Chooso... of variability LIVE Part 1 Mckenna says that she typically rides her horse for about 6 hours because the mode is 6. Is Mokenna's conclusion appropriate? Use the dropdown menus to explain your reasoning, Mckenna's conclusion Choose... accurate. The mode of her data Choose... 6 hours. However, Choose... than half of the time, she spends Choose.... than 6 hours riding her horse.
Answer: 110
Step-by-step explanation:
I did it it’s correct :)
Consider the function
f(x) = 327
=
As x + -00, then f(x) approaches what?
O A O
OB) 7
C) –00
C
D) 3
Ouestion 3 (1 point)
((X + 2) + (y - 5) =1
Answer:
on like term
Step-by-step explanation:
x+2)=(y-5)=2+5=7
x-y{x-y]=7x-y
by Emmanuel okorie
HELP MEEEEEEEEEEEE please
Answer:
X = 5
Step-by-step explanation:
Hope it's help you !!!!!!!!!
Answer:
X=5
Step-by-step explanation:
X=5
The other side is the same as X so it is 5. Also it the same as the bottom that = 5.