Answer:
57.5
Step-by-step explanation:
2x+5=120
2x=120-5=115
x=115/2=57.5
Which statement best explains the relationship
between lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.
Answer:
they are parallel because their slopes are equal.
Answer:
A
Step-by-step explanation:
hope this helped!
Can Someone please help me?
i dont get it either sorry
Answer:
8.5 inches
Step-by-step explanation:
used quadratic formula for 4x² + 9x - 360
Calculate the probability of drawing an ace of spades, followed by an ace of hearts from a full deck
Answer:
Plzzzz answer fast......
multipaction equation that will help find the number 23
Answer:
23*1, -23*-1
its prime sorry bestie
it's a prime equation sorry
Answer all questions, your combing like terms. Show ALL of you work! Thank you!!
1. -5x-13+3y-7x-12y+7
2. -3 (4x-12)
3. If x=7, 6x-282
4. If x= -2 and y=7 6x+2(y+x)
5. x-23=-80
6. 12x= -72
7. x/4 = 12
8. 3x+12=72
9. x/4 - 8= - 80
10. -4 ( 1 - 5n ) - 8n = 92
Billy invites 11 friends to his house for a meal.
He decides to make apple pie.
Billy has this list of ingredients.
Apple pie
serves 4 people
750 g apples
25 g caster sugar
150 g plain flour
50 g butter
75 g brown sugar
Billy has 2500 g of apples.
(a) Does he have enough apples to make apple pie for 12
people?
Show a check of your working.
(4)
Answer:
the answer is in the photo
Step-by-step explanation:
Fill in the blanks to show the product.
Answer:
Hope this is helpful for you
on January 17 2014 snow fell for 3 3/4 hours in Amarillo Texas if it snowed a total of 3 feet how much snow fell per hour?
Answer:
Step-by-step explanation:
1 2/8 feet of snow
HELP PLEASE
How many modes, if any, are shown in the frequency distribution below?
A.
2
B.
3
C.
1
D.
none
Answer:
b
Step-by-step explanation:
I mean I believe its b it looks like theres three
Is 5.094 greater or less than 5.904
Answer:
Less
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094
Suppose that the weights of 1-year-old boys are approximately normally distributed with a mean of 22.8 lbs and a standard deviation of about 2.15 lbs. Part 1: Find the probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs. Part 2: Find the probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs. Part 3: Explain the difference between Part 1 and Part 2.
Answer:
1: 0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.
2: 0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs
3: In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 22.8 lbs and a standard deviation of about 2.15 lbs.
This means that [tex]\mu = 22.8, \sigma = 2.15[/tex]
Part 1: Find the probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.
This is the pvalue of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 22.8}{2.15}[/tex]
[tex]Z = 1.02[/tex]
[tex]Z = 1.02[/tex] has a pvalue of 0.8461
0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.
Part 2: Find the probability that the mean weight for a sample of size 10:
Now [tex]n = 10, s = \frac{2.15}{\sqrt{10}}[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{25 - 22.8}{\frac{2.15}{\sqrt{10}}}[/tex]
[tex]Z = 3.24[/tex]
[tex]Z = 3.24[/tex] has a pvalue of 0.9994
0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs
Part 3: Explain the difference between Part 1 and Part 2.
In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.
Drag each item to the appropriate space on the proof.
Answer:
The answer is attached
Step-by-step explanation:
See the picture for matching reasons
What is the solution to the following equation?
5(2x − 12) + 21 = 2x + 41
5
8
10
72
Answer:
10
Explanation:
1 0 − 6 0 + 2 1 = 2 + 4 1
1 0 − 3 9 = 2 + 4 1
1 0 − 3 9 + 3 9 = 2 + 4 1 + 3 9
x = 10
Help me with this question please
Answer:
y = x² - 8x + 18
Step-by-step explanation:
vertex form based on vertex of (4,2) and point (2,6)
y = a(x - 4)² + 2
find 'a':
6 = a(2 - 4)² + 2
6 = 4a + 2
4 = 4a
a = 1
Convert y = (x - 4)² + 2 to standard form:
y = x² - 4x - 4x + 16 + 2
y = x² - 8x + 18
a company that receives the majority of its orders by telephone conducted a study to determing how long customers were willing to wait on hold before ordering a product. The length of waiting time was found to be a variable best approximated by an exponential distribution with a mean length of waiting time equal to 3 minutes. What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order 0.51342 0.48658
Answer:
0.2231 = 22.31% of customers having to hold more than 4.5 minutes will hang up before placing an order
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
The length of waiting time was found to be a variable best approximated by an exponential distribution with a mean length of waiting time equal to 3 minutes.
This means that [tex]m = 3, \mu = \frac{1}{3}[/tex]
What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order?
This is:
[tex]P(X > 4.5) = e^{-\frac{1}{3}*4.5} = e^{-\frac{4.5}{3}} = e^{-1.5} = 0.2231[/tex]
0.2231 = 22.31% of customers having to hold more than 4.5 minutes will hang up before placing an order
Acellus
Complete the function for this graph.
3
1
y = -x - [?]+
1 2 3 4
-4 -3 -2 -1
-1
-2
-31
4
Enter
Answer:
-4-3-2-1
Step-by-step explanation:
the answer is -4-3-2-1
What is the relationship between DE and FG ? Select all that apply.
Could you add more information like the picture of the figure where these lines are from?
Answer:
I need more info to answer this question.
Step-by-step explanation:
HELP I’LL DO ANYTHING I ALSO HATE LINKS SO PLEASE NOOOOO LINKS
Answer:
0.7
Step-by-step explanation:
_______
0.7
-----------------
if y-8=5x, what is x when the value of y= -87
Answer:
-19
Step-by-step explanation:
Hope this helps
Answer: Y-8=5X Y=-87 -87-8=5X -95=5x -95 divided by 5 = -19
X= -19
Step-by-step explanation:Quick mafs
Michael has 4 ten dollar and 7 five dollar bills he has 3 more ten dollar bills and 2 more ten dollar bills than Tamara. How much money does Tamara has
Answer:
she has only 24 dollors
put me brainliest please
Step-by-step explanation:
4-10$
7-5$
3 more-10$
2 more with =Tamara- 10$
Find the measure of angle x 11
Answer:
x = 11°
(vertically opposite angles)
The vertex of f(x) is (2, - 3) . is the vertex of f(x) + 3
Answer:
D. (2 , 0)
Step-by-step explanation:
f(x) + d --> (x , y) -> (x , y+d)
(2 , -3) -> (2 , -3+3) -> (2 , 0)
someone please help me answer this!!
Answer:
2 in the first blank
3in the second
Step-by-step explanation:
25^(1/3)=2.924
Lamont and Carmela both wrote an expression to show the area of the shaded region.
Lamont wrote: 6(m-2)
Carmela wrote: 6m-12
Whose expression is correct?
Answer:
Both expressions are correct
6(m-2) = 6m-12
Lamont's expression is factoring or factorising
Carmela's expression is expanding
find the length of x
Answer:
x = 2.5
Step-by-step explanation:
It is given based on the topic that these are similar right triangles. Note the placement of the right angles. The 2 and x are base, while the 7.5 and 6 are hypotenuses. There are a couple of ways you can set the equation, but in this case I will set it as [tex]\frac{base}{hypotenuse}[/tex]
Set the equation:
[tex]\frac{2}{6} = \frac{x}{7.5}[/tex]
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 6 and 7.5 to both sides of the equation:
[tex]7.5 * 6 * (\frac{2}{6}) = (\frac{x}{7.5}) * 6 * 7.5\\7.5 * 2 = x * 6[/tex]
Simplify. First, multiply, then isolate the x by dividing 6 from both sides:
[tex]7.5 * 2 = 6x\\15 = 6x\\\frac{15}{6} = \frac{6x}{6} \\x = \frac{15}{6} = 2.5[/tex]
Plug in 2.5 for x in the equation to see if the equation comes out true:
[tex]\frac{2}{6} = \frac{2.5}{7.5}\\[/tex]
Multiply 6 and 7.5 to both sides of the equation:
[tex]6 * 7.5 * \frac{2}{6} = \frac{2.5}{7.5} * 7.5 * 6\\7.5 * 2 = 2.5 * 6\\15 = 15[/tex](True)
~
2.5 is your answer for x.
~
In 3/13 the 3 is called the:
index
radical sign
radicand
radical
Answer:
index
Step-by-step explanation:
Goods include kennels, leads, toys and similar accessories for pets.
Look at the table.
About what percentage of the total amount is spent on Goods?
Answer:
Where is the table? Is there supposed to be an image attached?
Step-by-step explanation:
Evaluate: 2x-5y for x=-7 and y=-2
Answer:
-4
Step-by-step explanation:
1. Substitute the x values and y values
2(-7) -5(-2)
-14 +10
-4
£150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, and
June gets three times as much as Sushil. How much does June get?
Answer:
Amount June get = £45
Step-by-step explanation:
Given:
Total amount divided = £150
Amount Nick get = 2 x Amount June get
Amount June get = 3 x Amount Sushil get
Find:
Amount divided between Nick June and Sushil
Computation:
Assume;
Amount Sushil get = a
Amount June get = 3 x Amount Sushil get
Amount June get = 3a
Amount Nick get = 2 x Amount June get
Amount Nick get = 2 x 3a
Amount Nick get = 6a
Amount Sushil get + Amount June get + Amount Nick get = Total amount
So,
a + 3a + 6a = 150
10a = 150
a = 15
So,
Amount Sushil get = £15
Amount June get = 3a
Amount June get = 3 x 15
Amount June get = £45
Amount Nick get = 6a
Amount Nick get = 6 x 15
Amount Nick get = £90
PLS ANSWER THIS WITH STEPS!!
Tim drives the Grand Avenue bus route. He records the total number of
passengers each week for 4 weeks.
The mean and mean absolute deviation of the data are shown.
● Mean: 17,123
● Mean absolute deviation: 611
Select all the possible numbers of riders for week 5 that are within the
mean absolute deviation.
A 16,297
B 16,809
C 17,724
D 17,956
E 18,013
Answer: A and C are the correct answers
Step-by-step explanation:
Your welcome ;)
The possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.
What is a mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
What is a mean absolute deviation?Mean absolute deviation (MAD) is a way to describe variation in a data set. It is the average distance between each data value and the mean.
For the given situation,
Tim drives the Grand Avenue bus route. He records the total number of passengers each week for 4 weeks. The details are
Mean = 17,123 and
Mean absolute deviation = 611
The possible numbers of riders for week 5 that are within the mean absolute deviation can be calculated by adding and subtracting the MAD value with the mean value.
[tex]17123-611=16512[/tex]
[tex]17123+611=17734[/tex]
Thus the range should lie between [tex]16512[/tex] and [tex]17734[/tex]. The possible numbers of riders for week 5 that are within the mean absolute deviation are 16809 and 17724.
Hence we can conclude that the possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.
Learn more about mean and mean absolute deviation here
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