Answer:
0.17619
Step-by-step explanation:
We solve using z score formula
= z = (x-μ)/σ,
where x is the raw score = 5 accidents
μ is the population mean = 6.4 accidents
σ is the population standard deviation = 1.5
z = 5 - 6.4/1.5
= -1.4/1.5
= -0.93333
Approximately to 2 decimal places = -0.93
Determining the probability value from Z-Table:
P(x< 5) = P(z = -0.93) = 0.17619
Converting this to percentage =
The probability of weeks you would expect to have less than 5 accidents is
0.17619
We are asked in the question:
What proportion of weeks would you expect to have less than 5 accidents?
Proportion is also the same as:
Therefore, the proportion of weeks that you expect to have less than 5 accidents = 0.17619
17.62% of the accidents would be less than 5 accidents.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean,x=raw\ score,\sigma=standard\ deviation[/tex]
Given that μ = 6.4, σ = 1.5:
For x < 5 accidents:
[tex]z = \frac{5-6.4}{1.5}=-0.93[/tex]
From the normal distribution table, P(x < 5) = P(z < -0.93) = 0.1762 = 17.62%
17.62% of the accidents would be less than 5 accidents.
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Angel got a new phone with Verizon. They charged Angel $50 each month for service, plus an additional $15 per gigabyte of data used. Write an equation that models the total price of Angel's phone bill as 'y' based on the number of gigabytes used, 'x'.
Answer: 15y+50=x
Step-by-step explanation:
Show all you work plzzz
Answer:
[tex]4+3n[/tex]
Step-by-step explanation:
[tex]4+8n-5n[/tex]
Solve [tex]8n-5n=3n[/tex]
[tex]4+3n[/tex]
Which symbol makes the number sentence true?
-2.50 ? -10/4
A) <
B) >
C) =
Answer:
C) =
Step-by-step explanation:
-10/4 simplifies to -2.5 which is also equal to -2.50.
Identify the data set's level of measurement.
Ages of students in a statistic class
The ages of students in a statistic class is classified as a nominal data.
For the given statistics class, the age of the student is Nominal data in nature.
Nominal data are “labeled” data which can be divided into various groups that do not overlap.This type of data ar not measured or evaluated but are categorized into groups. Examples of nominal data include race, sex, age etc.Hence the ages of students in a statistic class is classified as a nominal data.
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Answer:
Question :Identify the data set's level of measurement.
Ages of students in a statistic class.
RatioOrdinalNominal Interval Answer :The ages of students in a statistic class is identify as a nominal data.
Additional Information :
Levels of measurement
There are 4 levels of measurement, which can be ranked from low to high:
Nominal : the data can only be categorized.Ordinal : the data can be categorized and ranked.Interval : the data can be categorized and ranked, and evenly spaced.Ratio : the data can be categorized, ranked, evenly spaced and has a natural zero.Rozalie spent $26.75 at a parking garage in downtown Orlando. The garage charged a base fee of $7.50 for the first hour, and an hourly rate of $2.75 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.
Answer:
Rozalie spent 7 hours at the parking garage.
Step-by-step explanation:
The equation for the above Question can be given as:
$7.5 + 2.75x
Where x = hourly rate
We are told that Rozalie spent $26.75
The number of hours Rosalie spent at the parking garage is calculated as:
$7.5 + 2.75x = $26.75
2.75x = $26.75 - $7.5
2.75x = 19.25
x = 19.25/2.75
x = 7 hours
Therefore the number of hours Rozalie spent at the parking garage was 7 hours.
Evaluate 3 + 11t - 9u when t=9 and u=11
Answer:
3
Step-by-step explanation:
given
3 + 11t - 9u
if t = 9, and u = 11, substitute these numbers into the equation:
3 + 11(9) - 9(11)
= 3 + 99 - 99
= 3
Answer: 3
Step-by-step explanation:
3+11t-9u=3+11(9)-9(11)
=3+99-99
=102-99
=3
Which quadratic function opens up?
Y= -x^2+ 3
Y= -(x + 3)^2
Y= -3x^2
Y= x^2- 3
Answer:
y = x^2 - 3
Step-by-step explanation:
Quadratic function in general form:
y = ax^2 + bx + cThe graph opens up if a>0, opens down if a < 0
The function that opens up is:
y = x^2 - 3I will give brainliest answer
Answer:
Please see attached image
Step-by-step explanation:
Recall that for a reflection of the triangle, we proceed to reflect its vertices across the given line. A reflection places the image of the three vertices at exactly the same number of units on the other side of the line as the original vertex was.
Please see attached image for description.
We go from vertex A straight perpendicular towards the line, and count two divisions to reach the line, so we move in the exact same down direction two divisions on the other side of the given line and mark its image (point A').
We do similarly with point B (six divisions to reach the given line, and continue also 6 divisions to the other side to create its image B'.
Finally vertex C is 5 divisions from the given line, and we continue 5 divisions on the other side of the line to place its image.
Once this is done, we simply join the image points with segments to form the triangle.
If f(x) = 5x + 3 and g(x) = x – 4, then f(x) + g(x) =
Answer:
C. 6x-1
Step-by-step explanation:
Add 5x+3 by x-4 (5x+3+x-4), then simplify by combining like-terms. So, add 5x+x, which will be 6x and then do 3-4, which will be -1. So, the answer should be 6x-1. Hope this helps!
Debra bought 7 boxes of chocolates. Each box cost $9.55. How much did she spend?
Answer:
$66.85
Step-by-step explanation:
One box equals $9.55.
There are seven boxes, so multiply the $9.55 by 7 to get your answer:
7 × 9.55 = 66.85.
Debra spent $66.85 for all seven boxes of chocolates.
Which of the following lines has a slope of -1?
Answer:
I do not see any lines
Step-by-step explanation:
helpppppp meeeee pleaseeeee
Answer:
B) -2 degrees
Step-by-step explanation:
If the temperature went down 10 degrees the equation you need to use is 8-10=x.
Once simplified/solved you will get -2
-2
In the morning it was 8 degrees celsius, and in the night it was 10 degrees lower. You are trying to find a number that's 10 degrees lower than 8. So you would do:
8-10
That would result in -2
Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning. Also, what is the area of both shapes?
Answer:
a. Perry covered a larger area
b. Karina covered an area of 9 units squared
Perry covered an area of 18 units squared
Step-by-step explanation:
Here, we are to justify our answer using mathematical reasoning.
Firstly, we need to deduce who out of the two has covered the greatest area.
The best way to go about this is by looking at the dimensions of the shapes in which they have individually covered.
For Karina, we have a square of sides 3 units by 3 units
While for Perry, we have a rectangle of dimension 9 units by 2 units
We know that judging by the areas of both, a square of side 3 by 3 has a smaller area compared to a rectangle of side 9 by 2
So since the rectangle has the bigger area, then Perry has covered a larger area during her community service
We are told to calculate the areas;
For Karina , we have;
3 by 3 = 3 units * 3 units = 9 units squared
For Perry, we have
9 by 2 = 9 units * 2 units = 18 units squared
What is 6.92 x 10^ -3 written in standard form ?
Answer:
6.92 x 1,000= 6,920
Step-by-step explanation: Hope this helps
Which expression has a value of 1?
(Need answer ASAP)
Answer:I am adding the brackets to show in which order the expressions will be evaluated:
A.
(4 ÷ 4) + 4 – 4 = 1+4-4 = 1 (the correct answer)
B.
(4 · 4) – (4 ÷ 4)= 16-1 = 15
C.
4 –( 4 ÷ 4) – 4= 4-1-4 = -1
D.
(4 ÷ 4) + 4 + 4 = 1+4+4 =9
hope this help yu the answer is A
hope this hlpe
Step-by-step explanation:
Write an equation of a line that is perpendicular to y = 1/4x-4
that passes through the point(2.8)
Answer:
Step-by-step explanation:
perp. -4
y - 8 = -4(x - 2)
y - 8 = -4x + 8
y = -4x + 16
You spend $168 on materials to start a business making silk flower arrangements. Each arrangement sells for $12. You decide to create a linear graph to model the relationship between profit, P, and sales, x. Which statements are true about the graph?
Answer:
B) The graph models P(x) = 12x − 168.
C) The x-axis represents the number of sales.
D) The break-even point for the number of sales and profit is (14, 0)
Step-by-step explanation:
Answer:
B) The graph models P(x) = 12x − 168.
C) The x-axis represents the number of sales.
D) The break-even point for the number of sales and profit is (14, 0)
Step-by-step explanation:
The x-axis represents the number of sales.
The graph models P(x) = 12x − 168
The break-even point for the number of sales and profit is (14, 0)
The x-axis represents independent values, such as the number of sales.
Profit = 12(#sales) − cost of materials → P(x) = 12x − 168
0 = 12x − 168 → x = 14 → (14, 0) is the break-even point.
How to solve this problem
Answer: [tex]\sqrt100=10[/tex]
Step-by-step explanation:
[tex]\sqrt[n](-4-4)^{2} +(-3-3)^{2} \\\sqrt64+36\\\sqrt100\\=10[/tex]
ײ⅖ idkk
My teacher jst put this
Answer:
the answer is x 12/5
Step-by-step explanation:
simplify 14+ 18/2 * 18-7
Answer:
the solution is 169
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
14 +18/2 x 18-7
14+9 x 18-7
14+162-7
169
к L
-12 -9 -6 -3 0 3 6 9 12 15 18
What is KL?
Answer:
kl is a volume with sides that are equal
If the point K is over -9 and L is over 15 then the value of KL is 24.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
A number line is a horizontal line that has equally spread number increments.
On the number line K is over -9 and L is over 15
We need to find the distance of KL.
KL=OL-OK
Where the OL is 15 and OK is -9.
Now plug in these values in KL
KL=15-(-9)
When minus and minus are multiplied we get positive.
=15+9
Add fifteen and nine we get twenty four.
=24
Hence, if the point K is over -9 and L is over 15 then the value of KL is 24.
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elena and emily are twins. together they have saved a total of $72. elena saves twice as much as emily. how much has each girl saved?
Answer:
Emily: 24 Elena:48
Step-by-step explanation:
el + em = 72
el = 2em
2em + em = 72
3em = 72
em = 24
el = 2*24 = 48
If this helped, please give brainliest
To which substance does ferredoxin transfer an electron? photosystem I photosystem II NADP+ NADPH
Answer:
NADP+
Step-by-step explanation:
Answer:
C. NADP+
Step-by-step explanation:
X/10 > 3 solution to the inequality
Djduhdbevzhzjsvvsyshavahsysjsjsj
URGENT WILL GET BRAINLIEST!!!!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measure.
m∠1=(50x)∘, m∠8=150°
Answer:
Alt. Ext. Angles Theorem.
m∠1 = 150
Step-by-step explanation:
∠1 and ∠8 are alternate exterior angles formed when the transversal line cuts across the 2 parallel lines. According to the alternate exterior angles theorem, both are congruent. Therefore,
m∠1 = m∠8
m∠1 = (50x)°
m∠8 = 150
Set both equal and solve for x
50x = 150
Divide both sides by 50
50x/50 = 150/50
x = 3
Unknown angle:
m∠1 = (50x) = 50*3 = 150°
Help me plzzz 100pts
Answer:
Yen, Hana, Tyrell
Step-by-step explanation:
took on edge 2020
Rachel wants to purchase a new I-Tablet on Black Friday for $450. Better Buy offers two
installment plans for purchasing this item.
Plan A: a fixed weekly payment of $25
Plan B: a $120 initial payment, followed by weekly payments of $5
After 12 weeks, how much money would Rachel spend on each plan?
A Plan A: $300; Plan B: $60
B Plan A: $300; Plan B: $180
C Plan B: $300; Plan A: $60
D Plan B: $300; Plan A: $180
Answer:
hmmmmm im not sure
Step-by-step explanation:
Answer:
C.plan B: $300;planA:$60
not completely sure this is the answer but I hope this helps
Step-by-step explanation:
Bob bought a Ford Expedition for his family. After 5 years, the SUV was
worth $10,000 less than what he paid for it. What integer represents the
how much value the SUV lost each year?*
Answer:
500$
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
10,000/5=2000
If you get this you are a critical thinker.
I enter the garden.
There are 34 people.
You kill 30.
How many people are in the garden.
Answer:
5
Step-by-step explanation:
If you killed 30 and there were 34 people there not including me then there would be 5 left.
The 16th percentile in a Normal distribution is 25 and 2.5% of the values in the distribution are greater than 40.
Which of the following are the best estimates for the mean and standard deviation of the distribution?
(a) mean = 32.5; standard deviation = 2.5
(b) mean = 32.5; standard deviation 5
(c) mean 32.5; standard deviation = 10
(d) mean = 30; standard deviation - 2.5
(e) mean = 30; standard deviations
This question is not complete
Complete Question
The 16th percentile in a Normal distribution is 25 and 2.5% of the values in the distribution are greater than 40.
Which of the following are the best estimates for the mean and standard deviation of the distribution?
(a) mean = 32.5; standard deviation = 2.5
(b) mean = 32.5; standard deviation = 5
(c) mean 32.5; standard deviation = 10
(d) mean = 30; standard deviation = 2.5
(e) mean = 30; standard deviations = 5
Answer:
(e) mean = 30; standard deviations = 5
Step-by-step explanation:
From the question, we are told that the 16th percentile in a Normal distribution is 25
Hence the standard deviation is calculated as √of the 16th percentile in a normal distribution
= √25
= 5
Hence, the standard deviation = 5
In other to obtain the mean, we used the formula of z score.
z score formula =(x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question
x = 40, σ = 5
We are told that 2.5 % of the values is greater than 40
This means The percentile for this values = 100 - 2.5 %
= 97.5%
The z-score for a 97.5th percentile = 1.96
Hence,
z = (x-μ)/σ
1.96 = (40 - μ) / 5
Cross Multiply
= 1.96 × 5 = 40 - μ
= 9.80 = 40 - μ
μ = 40 - 9.80
μ = 30.2
≈ 30
Hence, the Mean = 30
A normal distribution is symmetric about the mean.
The mean of the distribution is 30The standard deviation is 5Given
[tex]P_{16} = 25[/tex] ---- 16th percentile
First, we calculate the standard deviation as follows:
[tex]\sigma = \sqrt{P_{16}[/tex]
So, we have:
[tex]\sigma = \sqrt{25[/tex]
[tex]\sigma = 5[/tex]
Next, we have:
[tex]2.5\%[/tex] of the value are greater than 40
This means that:
[tex]x =40[/tex] and 97.5% are less.
So: the z-score of 97.5% is:
[tex]z = 1.960[/tex]
Using z formula:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
Substitute values for z, x and [tex]\sigma[/tex]
So, we have:
[tex]1.960 = \frac{40 - \mu}{5}[/tex]
Multiply through by 5
[tex]5 \times 1.960 = 40 - \mu[/tex]
[tex]9.8 = 40 - \mu[/tex]
Collect like terms
[tex]\mu = 40 - 9.8[/tex]
[tex]\mu = 30.2[/tex]
Approximate
[tex]\mu = 30[/tex]
Hence, the mean is 30 and the standard deviation is 5
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