Answer:
The mean number of serious injuries over a one year's time is of 104 and the standard deviation is of 10.2
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
Find the mean and standard deviation of the number of serious injuries over a one year's time.
Per week, mean [tex]\mu = 2[/tex]
A year has approximately 52 weeks, so, the mean is [tex]\mu = 2*52 = 104[/tex], and the standard deviation is [tex]\sqrt{104} = 10.2[/tex]
If l || m, classify the marked angle pair and give their relationship, then solve for X.
A rectangle has a width measuring 5 ft. and a length measuring x −2. Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet
Answer:
The inequality is: [tex]5(x - 2) \geq 35[/tex]
The solution is: [tex]x \geq 9[/tex]
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle with length l and width w is given by:
A = lw
In this question:
Width 5 feet.
Length x - 2.
For which the area of the rectangle will be at least 35 square feet
Equal or greater than 35. So
[tex]5(x - 2) \geq 35[/tex]
[tex]5x \geq 45[/tex]
[tex]x \geq \frac{45}{5}[/tex]
[tex]x \geq 9[/tex]
Solve for a. (a+6)2=49
Answer:
(a+6)2=49 (use the distributive property and multiply 2 by everything left side
2a +12=49 (subtract 12 from both sides to isolate the a-term)
2a = 37 (divide both sides by 2 to get a alone)
a= 18.5 (this is your answer)
Step-by-step explanation:
I hope this helps :)
Answer:FRACTION ANSWER:37/2
MIXED NUMBER ANSWER:18 1/2
DECIMAL ANSWER:18.5
Step-by-step explanation:A=37/2 its a improper fraction so lets turn it into a mixed number witch is 18 1/2 and if you want a decimal its 18.5
Make a statistical profile of your own statistics class. Items of interest might be any of the following. (a) Height, age, gender, pulse, number of siblings, marital status (b) Number of college credit hours completed (as of beginning of term); grade point average (c) Major; number of credit hours enrolled in this term (d) Number of scheduled hours working per week (e) Distance from residence to first class; time it takes to travel from residence to first class (f) Year, make, and color of car usually driven
Answer:
I think this may be the answer. (I got this same question on a test so it probably is the same answer)
Commonsense rules should be stated for any numerical answers.
No questions should be misleading.
Questions should be worded in a clear, concise, and unbiased manner.
Since some items might be sensitive information, design a data form that can be filled out anonymously.
Step-by-step explanation:
Solve the equation 7z=105
Which equation matches the table ?
(Need help ASAP no rocky) Determine whether the quadrilateral with vertices at A(5,7), B(1, -2), C(-6, -3), and D(2,5) is a parallelogram or not.
Justify your answer. No credit will be given if no justification is written for your answer.
Answer:
c
Step-by-step explanation:
because it is the most reasonable answer
Circumference of a 4" circle?
Answer:
4π ≈ 12.5663706144
Step-by-step explanation:
The circumference of a circle is 2πr, or 2*pi*radius
Suppose the circle has a diameter of 4 inches. A diameter is 2x the radius, of which we are looking for, therefore:
4÷2=2 inches (radius length)
Now that we have the radius, let us substitute to find the circumference:
2πr=
2π2=
4π≈
12.5663706144
I hope this helped! Let me know if you have any further questions :)
Answer:
What is the circumference of a 4 inch circle?
Circumference & Areas
Size in Inches Circumference Inches Area in Square Inches
4 12.570 16.000
Step-by-step explanation:
hope I helped
A number has the digits 6, 2, 9 to the nearest 100, the number rounds to 600 what is the number
Answer:
629
Step-by-step explanation:
rounds to 629 as t he closest hundred
This question is based on the concept of round - off rule. A number has the digits 6, 2, 9 to the nearest 100, the number rounds to 600 is 629.
Given:
A number has the digits 6, 2, 9 to the nearest 100, the number rounds to 600 what is the number.
According to the question,
The digit is given that 6, 2 and 9.
So, the digit at hundredth place is 6 and last two digit will be 29 or 92.
But, it is given that the number rounds to 600.
Thus, the number is at hundredth place is 6 and tenth place is 2 and at unit place is 9.
Therefore, the number would be 629 which is the number rounds to 600.
and the number 692 is not closest to 600.Thus we have to choose 29.
Hence, the number is 629.
For more details, prefer this link:
https://brainly.com/question/23560341
A road drops 748 feet for every 374 feet forward, determine the slope of the road. The slope can be positive or negative.
Answer:
positive
Step-by-step explanation:
trust me if its wrong den sry
Answer:
Slope = -2
Step-by-step explanation:
Since the road goes down 748 feet every 374 feet forward, we can calculate slope by dividing the drop by the travel.
748/374 = 2
Since the road is going down, the slope has to be negative so it is -2.
-PLEASE ANSWER- An experiment was repeated a number of times and the following measurements were obtained:
52.3, 52.5, 52.2, 322, 19, 52.6
How would you obtain the best, single result from these measurements?
*Hint: Eliminate the outliers!*
Answer:
Step-by-step explanation:
From the given data, it can be observed that there are two number that are abnormal and extremely different from others, 322 and 19. Eliminating these two numbers would reduce the error that can be generated.
Then to obtain the best single result from the measurements, find the mean of the other numbers.
i.e 52.3, 52.5, 52.2, 52.6
Mean = [tex]\frac{52.3 + 52.5 + 52.2 + 52.6}{4}[/tex]
= [tex]\frac{209.6}{4}[/tex]
= 52.4
Thus the best single result that can be obtained is 52.4.
If you roll a six-sided die 1,000 times, about how many times would you expect to land on a three?
Answer:
The answer is 167
Step-by-step explanation:
Which is not a likely area of application of statistics in business?
a. Looking for patterns in a large marketing database.
b. Auditing supplier invoices for correct payment.
c. Making forecasts of several key product lines.
d. Questioning the executives' strategic decisions
Answer:
D.
Step-by-step explanation:
Statistics has a lot of usage in business.
Using statistics as well as statistical tools helps in the provision of data to be used for business analysis. With available data we can get patterns in a a large database. Statistics can be used for auditing, as in question option b. For option c, statistics can be used for making business forecasts after the careful observation of trends and patterns that are in the data.
Option d does not make use of statistics. It has nothing to do with statistics neither does it have a computational feature.
Therefore, d.) questioning the executive's strategic decision is the answer to this question
h ( x ) { − 2 + 3 , i f x < 1 1 /2 x + 1 if x ≥ 1 }
Answer:????
Step-by-step explanation:
What
Factors of (9y^-12)-(12-16)
Answer:
4y^12+9 over y^12
Step-by-step explanation:
hope it helps
what’s the answer to this question??
Answer:
31/100
Step-by-step explanation:
9. Travelling at 80 km/h, how far will a car go
in 45 mins?
Answer:
60
Step-by-step explanation:
distance=80*45/60
=80*0.75
=60km
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card?
A. About 26.33%
B. About 33.33%
C. About 55.67%
D. About 66.67%
Answer:
D
Step-by-step explanation:
Difference of 39 and 65 = |39 - 65|/((39 + 65)/2) = 26/52 = 0.5 = 50%
65 is a 66.666666666667% increase of 39.
Percentage of increase = |39 - 65|/39 = 26/39 = 0.66666666666667 = 66.666666666667%
Urgent!! Help math!!
10,11,15 is not right triangle
30,40,50 is right triangle
9,13,16 is not right angel
16,30,34 is right triangle
Please hurry it’s missing
Answer:
[tex]★†\:1 \frac{3}{8} \div 1 \frac{1}{12} \\ = \frac{11}{8} \div \frac{13}{12} \\ = \frac{11}{8} \times \frac{12}{13} \\ = \frac{11}{2} \times \frac{3}{13} \\ = \frac{33}{26} = \boxed{1 \frac{7}{26}}†✓ [/tex]
1 (7/26) is the right answer.21 regular sodas and 49 diet sodas. What percentage of the sodas served were regular?
Answer:
30% of the sodas were regular sodas
Step-by-step explanation:
Add 21 and 49 to get the total number of sodas and 21+49=70. To get the percentage, divide 21 by 70 (21÷70) is 0.3 or 30%.
To check, do 30% (or 0.3) • 70 and you will get 21.
find the missing terms in each Fibonacci style sentences __,13,20,33
help please?
U is the midpoint of line segment XY. if XU=6x-7 and UY=4x+9, find the value of x and the measure of XY.
Answer:
Since U is the midpoint of XY,[tex]XU = UY\\or, 6x-7 = 4x+9\\or, 6x - 4x = 7+9\\or, 2x = 16\\or, x = 8\\XY = XU +UY = 6x - 7 + 4x +9 = 10x+2 = 10(8) +2 = 82[/tex]
A 10-ft vertical post casts a 14-inch shadow at the same time a nearby cell phone tower cast a 119-ft shadow. How tall is the cell phone tower?
The cell phone tower’s height is ___ ft?
Answer:
The cellphone towers height is 1020 ft.
Step-by-step explanation:
This question is solved using proportions, by a rule of three.
A 10-ft post casts a 14-inch shadow.
Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?
10 feet post - 1.167 ft shadow
x feet tower - 119 feet shadow
Applying cross multiplication:
[tex]1.167x = 10*119[/tex]
[tex]x = \frac{1190}{1.167}[/tex]
[tex]x = 1020[/tex]
The cellphone towers height is 1020 ft.
Identify whether each phrase is an expression, equation, or inequality.
Answer:
Top to bottom 1st = equation, 2nd = expression, 3rd = inequality
Step-by-step explanation:
Inequalities are statements that have less than, greater than, or equal to signs. Expressions are basically equations without an = sign, and equations are well, expressions with an equal sign. Having said this, we can deduce the first one is an equation, the second one is an expression, and the third one is an inequality.
what is the remainder of 74÷7
Answer:
The remainder is 4
Step-by-step explanation:
Answer: 1.510204081632653
Step-by-step explanation:
Which questions are True or False?
1.) ∡x is supplementary to 105°.
2.) The two angles in a linear pair have a sum of 180°.
3.) Vertical angles have the same measure.
4.) Complementary angles add up to 90°.
5.) ∡x is complementary to 138°.
6.) ∡y is supplementary to 147°.
7.) ∠z is vertical to a 105°angle..
Answer:
Step-by-step explanation:
1.) ∡x is supplementary to 105°. False
2.) The two angles in a linear pair have a sum of 180°. True
3.) Vertical angles have the same measure. True
4.) Complementary angles add up to 90°. True
5.) ∡x is complementary to 138°. False
6.) ∡y is supplementary to 147°. True
7.) ∠z is vertical to a 105°angle.. True
Hint: Sum of complementary angles are 90
Sum of supplementary angles are 180.
Vertically angles are equal
Answer:
2
Step-by-step explanation:
i took the test and got it wrong
Which values are solutions to the inequality below
Answer:
11 and -11
Step-by-step explanation:
The square of 11 is 121. The square of -11 is also 121.
Answer:
Options C and F
Step-by-step explanation:
Check each answer:
6^2=36 but 36<64 so it cannot be A
8^2=64 but 64<64 (remember that even though they are equal to each other it doesn't meet the requirements of the inequality) so it cannot be B
11^2=121 and 121>64 so it can be C
-6^2=36 but 36<64 so it cannot be D (remember that squaring a number that is negative results in a positive number)
-8^2=64 but 64<64 so it cannot be E (see explanations for B and D)
-11^2=121 and 121>64 so it can be F
Therefore, the only two correct solutions are options C and F
Preston's salary before taxes are taken out is p dollars. After taxes taken out, Preston's take home salary is t dollars. If p =1.25t, what is Preston's take home salary in terms of his salary before taxes?
Answer:
[tex]After\ Tax = \frac{p}{1.25}[/tex]
Step-by-step explanation:
Given:
[tex]Before\ Tax =\$ p[/tex]
[tex]After\ Tax =\$ t[/tex]
[tex]p = 1.25t[/tex]
Required
Determine his after tax salary in terms of p
To do this, we simply make t the subject in [tex]p = 1.25t[/tex]
Divide both sides by 1.25
[tex]\frac{p}{1.25} = \frac{1.25t}{1.25}[/tex]
[tex]\frac{p}{1.25} = t[/tex]
[tex]t = \frac{p}{1.25}[/tex]
Substitute p/1.25 for t in [tex]After\ Tax =\$ t[/tex]
[tex]After\ Tax = \frac{p}{1.25}[/tex]
need help will give brainliast answer or wtv