Answer:
Step-by-step explanation:
Given that:
The mean μ = 310
The standard deviation σ = 40
Using the empirical rule to determine the following :
a. About 95 % of organs will be between what weights?
At 95% data values lies within 2 standard deviations of mean.
Thus, the required range is :
= μ ± 2σ
= ( 310 - 2 (40) , 310 + 2(40) )
= (230, 390)
b. What percentage of organs weighs between 270 grams and 350 grams
Here:
μ ± σ = (310 - 40, 310 + 40)
μ ± σ = (270, 350)
Using empirical rule, 68% data values is in the range within 1 standard deviation of mean. This implies that 68% data values lie between (270, 350).
c. What percentage of organs weighs less than 270 grams or more than 350 grams?
The complement theorem can be use to estimate the percentage of organs that weighs less than 270 grams or more than 350 grams,
This can be illustrated as :
= 100 % - 68 %
= 32 %
d. What percentage of organs weighs between 230 grams and 430 grams?
Using the empirical rule:
The percentage of organs weighs between 230 grams and 430 grams is:
u - 2σ and u + 3σ respectively.
We perform an experiment that consists of independent trials where the probability of success is p = 0.25. (a) Let X be the number of successes in 800 trials. Using the appropriate approximation, calculate P{X > 220}.
Answer:
0.0482
Step-by-step explanation:
Given the following :
Probability of success : p(success) = 0.25
Number of trials = 800
X = number of successes
Calculate P(X > 220)
The problem above can be solved using the binomial probability formula:
P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)
To save computation time, we coild use the online binomial probability calculator :
P(X > 220) = 0.0482
The binomcdf function of a graphing calcukatur can also be used :
1 - binomcdf(800, 0.25, 220)
1 - (0.95177363855) = 0.04822
What is 14jk/21j simplified in algebraic expressions? (PLS ANSWER QUICK)
Answer:
[tex] \boxed{ \bold{ \frac{2k}{3} }}[/tex]Step-by-step explanation:
[tex] \sf{\frac{14jk}{21j} }[/tex]
Reduce the fraction with j
Similarly, Reduce the fraction with 7
⇒[tex] \sf{ \frac{2k}{3} }[/tex]
Hope I helped!
Best regards!!
Express as a trinomial. (x - 4)(2x - 5)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} - 13x + 20}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(x - 4)(2x - 5)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial
⇒[tex] \sf{x(2x - 5) - 4(2x - 5)}[/tex]
⇒[tex] \sf{2 {x}^{2} - 5x - 8x + 20}[/tex]
Collect like terms
⇒[tex] \sf{2 {x}^{2} - 13x + 20}[/tex]
Hope I helped!
Best regards!!
Answer:
2x² - 13x + 20
Step-by-step explanation:
(x - 4)(2x - 5)
x(2x - 5) - 4(2x - 5)
Opening the brackets gives;
2x² - 5x - 8x + 20
Simplifying this equation gives;
2x² - 13x + 20
1 mile is equivalent to _ a0 kilometers ( round to the nearest hundredth )
Answer:
1 mile =1.609 kilometers
Step-by-step explanation:
51 POINTS!!!!!! (3x-y=2)*2
Answer:
Solving for the variable, x: [tex]x = \frac{1}{3}y + \frac{2}{3}[/tex]
Solving for the variable, y: [tex]y = 3x - 2[/tex]
Step-by-step explanation:
IF:
You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. First, follow PEMDAS, then do the opposite of PEMDAS.
First, distribute 2 to all terms within the parenthesis:
(3x - y = 2) * 2 = (6x - 2y = 4)
Next, solve for x. Add 2y to both sides:
6x - 2y (+2y) = 4 (+2y)
6x = 4 + 2y
Next, divide 6 from both sides:
(6x)/6 = (4 + 2y)/6
x = (2y)/6 + (4)/6
x = (1/3)y + (2/3)
IF:
You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, y. First, follow PEMDAS, then do the opposite of PEMDAS.
First, distribute 2 to all terms within the parenthesis:
(3x - y = 2) * 2 = (6x - 2y = 4)
Next, solve for y. Subtract 6x from both sides:
6x - 2y = 4
6x (-6x) - 2y = 4 (-6x)
-2y = -6x + 4
Then, divide -2 from both sides:
(-2y)/-2 = (-6x + 4)/-2
y = (-6x)/-2 + (4)/-2
y = 3x + (-2)
y = 3x - 2
~
A mermaid is swimming at sea level when a human comes by. She dives underwater at a rate of 3 meters per second. She continues to descend for 21 seconds. What integer represents her position?
Answer:
63 metres
Step-by-step explanation:
Distance covered in 1 second = 3 m
Time taken =21 sec
Her position = 3 x 21 m = 63 metres
Answer:
63 meters
Step-by-step explanation:
Distance covered in 1 second = 3 m
Time taken =21 sec
Her position = 3 x 21 m = 63 meters i hop it help u
What is Lim x → ∞ cos (x) ?
Answer:
non existent
Step-by-step explanation:
Hello, please consider the following.
[tex]\forall \ n \in \mathbb{N}\\\\cos((2n+1)\pi)=0\\\\cos(2n\pi)=1\\\\\text{So, there is no limit possible for } x \rightarrow +\infty[/tex]
Thank you.
If f(x) = 1, what is x equal to?
Answer:
Step-by-step explanation:
if f(x) = 1/(x+1)
the f(f(x)) means, wherever you see an "x" in the function.
plug in the function again.
so plug in "1/(x+1)" wherever you see an x
so...
1/(f(x) + 1)
1/((1/(x+1))+1)
now you're going to need to fix the denominator.
at the moment... this is what you're denominator looks like.
1/(x+1) + 1
so, combine them. find the LCD
LCD = x + 1
1/(x + 1) + x + 1 / x + 1
x + 2 / x + 1
that's your new denominator.
f(f(x)) = 1 / (x + 2 / x + 1)
because it's 1 / something. all you need to do is get the reciprocal of that "something"
so, what's the reciprocal of x + 2 / x + 1?
x + 1 / x + 2
that's your final answer.
next one.
remember, same deal, everywhere you see an "x" plug in the original function.
f(x) = x/(x+1)
f(f(x)) = f(x) / ( f(x) + 1 )
= [x / (x + 1) ] / [ (x / (x + 1) ) + 1 ]
so, right now this is your denominator.
(x / x + 1) + 1
combine, find the LCD, LCD = x + 1
x / x + 1 + x + 1 / x + 1
2x + 1 / x + 1
that's your new denominator.
so plug it in.
[x / (x + 1) ] / [2x + 1 / x + 1]
this is a little more complicated. but remember, whenever you divide by a fraction, it's the same as multiplying by it's reciprocal
so...
rewrite it like this.
x / (x + 1) * (x + 1) / 2x + 1
the x + 1 cancel out.
and you're left with
x / 2x + 1
hope that helps!
-6·f(-3)-5·g(-7)= please help
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]-6*f(-3)-5*g(-7)[/tex]
Steps : 3
Apply rule : [tex]- (-a) = a[/tex]
[tex]= 6f * 3 + 5g * 7[/tex]
Multiply the numbers : [tex]6 * 3 = 18[/tex]
[tex]= 18f + 5 * 7g[/tex]
Multiply the numbers : [tex]5 * 7 = 35[/tex]
[tex]= 18f + 35g[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week. How many trucks are in Lennoxs fleet
Answer:
her fleet has five trucks
Step-by-step explanation:
Answer: 5 trucks
Step-by-step explanation:
I hope this helps!
what is this bruh i need help?
Answer:
what do you need answers for
Step-by-step explanation:
ron’s aunt treated ron and his friends to ice cream. she spent $17 on ice cream. both the chocolate cones and vanilla cones were the same price. two ordered chocolate, three ordered vanilla. write and solve an equation to find out how much each cone cost (pls help lol)
Answer:
2x + 3x = 17.
$3.40.
Step-by-step explanation:
All the cones cost the same. That means that one ice cream cone will cost x dollars.
She spent $17, with 2 chocolate and 3 vanilla.
2x + 3x = 17
5x = 17
x = 17/5 = 3.4
So, each cone costs $3.40.
Hope this helps!
Pleaseee help!!!!!!!!!!!!!will mark the brainliest!
Answer:
D) 1/16
Step-by-step explanation:
1/6*3/8=3/48
reduced, it’s 1/16
Answer:
1/16
Step-by-step explanation:
A cube is tossed.
The possible outcomes: {1, 2, 3, 4, 5, 6} => 6 possible outcomes in total.
The event of occurring a number 3: {3} => 1 possible outcomes.
=> P(3) = number of possible outcome of event/ total possible outcomes = 1/6
A spinner is spun.
The possible outcomes: {A, A, A, A, B, C, C, C} => 8 possible outcomes in total.
The event of occurring letter C: {C, C, C} => 3 possible outcomes.
=> P(C) = number of possible outcome of event/ total possible outcomes = 3/8
The event of occurring 3 and the event of occurring C are two independent events because tossing a cube does not affect spinning a spinner. Then, we have:
P(3 and C) = P(3) x P(C) = (1/6) x (3/8) = 3/48 = 1/16
[tex] {2}^{x + 2 } = 9 \times( {2}^{x} ) - 2[/tex]
pls how is this solved
Hello, please consider the following.
[tex]{2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...[/tex]
Let me know if you need further explanation.
Thank you
Mr. Warren Buffett invested $20 000. Part of it he put in the bank at 5% interest. Part of it he invested in
bonds which pay a 7% return. How much money did he put in each vehicle, if his annual income from these
investments was $1200?
Answer:
Vehicle one he put $10000
Vehicle two he put $1000
Step-by-step explanation:
Interest= PRT/100
Interested= x
P1 +P2= $20000
X1+x2= $1200
R1= 5%
R2= 7%
(P1*5*1)/100= X1
5p1=100 X1.....
P1= 20X1...
(P2*7*1)/100= X2
7p2= 100X2
P2= 100/7 X2
P1 +P2= $20000
20X1 + 100/7 X2= 20000
7X1 +5x2= 7000...equation one
X1+x2= 1200 ....equation two
Multiplying equation two with 7
7X1 +7X2= 8400
7X1 +5x2= 7000
Solving simultaneously
2X2=1400
X2= 700
P2= 100/7 X2
P2= 100/7 (700)
P2= 10000
But X1+x2= $1200
X1= 1200-700
X1= 500
P1= 20X1
P1= 20(500)
P1= 10000
Vehicle one he put $10000
Vehicle two he put $1000
What is the solution to this equation?
4x = 124
Answer:
x = 31
Step-by-step explanation:
Divide both sides of the equation by the coefficient of x:
[tex]4x=124\\\\\dfrac{4x}{4}=\dfrac{124}{4}\qquad\text{divide by 4}\\\\x=31\qquad\text{simplify}[/tex]
Which of the following statements about multicollinearity is true?
a. Multicollinearity occurs when two or more independent variables are highly correlated
b. Multicollinearity is usually not an issue when the regression model is only being used for forecasting
c. Multicollinearity is usually not an issue when the regression model is only being used to understand net relationships
d. Multicollinearity can typically be reduced by decreasing the sample size
e. Multicollinearity can typically be reduced by adding more independent variables
Answer: a. Multicollinearity occurs when two or more independent variables are highly correlated.
Step-by-step explanation:
Multicollinearity usuall occurs when an independent variables in a regression model is correlated. This correlation is a problem which occurs because independent variables should be independent. If the degree of correlation between variables is high enough, it would cause problems when you fit the models or try to interpret the results.
According to the statement of multicollinearity, option b is the correct answer it occurs when two or more independent variables are highly correlated.
What is Multicollinearity?Multicollinearity refers to the occurrence of two or more independent variables which are highly correlated with one another in a regression model.
The statement means that in a regression model, independent variables can be predicted from another independent variable.
For example,
Weight and height.Water consumption and household income.Multicollinearity can also occur when new dependent variables are created which are dependent on others.
It can be an issue when the regression model is only being used to understand the relationship. It is unable to distinguish between the separate effect of an independent variable on the dependent one.
So, option a is correct in that is multicollinearity occurs when two or more independent variables are highly correlated.
Learn more about multicollinearity here:
https://brainly.com/question/15407011
Please help me
What is the area of this figure?
Answer: 74 ft^2.
Step-by-step explanation: First, you can seperate the figure into an 8x9 rectangle and a 1x2 rectangle. 8*9 = 72 and 1*2 = 2 and then you add them to get 74. The unit is ft, but we're multiplying, so it becomes ft^2. Thus, the answer is 74 ft^2.
Answer:
Total Area = 50 ft²
Step-by-step explanation:
Total Area = (8 * 6) + (2 * 1)
Total Area = 48 + 2
Total Area = 50 ft²
Add the polynomials (Write answers in descending order)
I did one for you just to give u an idea on how to it. Hope it helps!
2x+15=x/2-3
Can someone solve for x and show the answer step by step?
Answer:
[tex]2x + 15 = \frac{x}{2} - 3[/tex]
Move the variable
[tex]4x + 30 = x - 6[/tex]
[tex]4x - x + 30 = - 6[/tex]
Collect like terms
[tex]4x - x = - 6 - 30[/tex]
[tex]3x = - 6 - 30[/tex]
[tex]3x = - 36[/tex]
Divide both sides by three
[tex]x = - 12[/tex]
Which statement accurately describes the data's form, direction, and strength from the scatterplot below?
Cost of Airplane Ticket VS Miles Flown
700 __________
525 __________
175 __________
0 0 750 1500 2250 3000
Distance from MSP V Form:
Linear Direction: Negative Strength: Weak
Form: Linear Direction. Positive Strength: Weak
Form Linear Direction: Negativo Strength Moderate
Form: Linear Direction: Positive Strength: Moderate
Answer:
Form: Linear Direction: Positive Strength: Moderate
Step-by-step explanation:
The scatter plot for the Cost of Airplane Ticket versus the number of Miles Flown is attached below.
It can be easily seen that the plot is moving in an upward directions. An upward moving scatter plot represents a positive relationship between the two variables.
Similarly, the scatter plot here represents a positive relationship between cost of airplane ticket and the number of miles flown.
Now consider the points plotted on the graph.
If we form a line of best by joining any two points it can be seen that the rest of the points are close to this line but not very close.
Thus, implying that there is a moderately strong relationship between the two variables.
Thus, the statement accurately describing the data is:
Form: Linear Direction: Positive Strength: Moderate
Answer:
D.
Step-by-step explanation:
Which of the following phrases are inequalities?
Choose 3 answers:
2² – 5x + 6
11 > (w - 4)
y <3
D) 5+9 < 5.9
1.
Answer:
11 > (w- 4)
y < 3
5 + 9 < 5.9
So these are the phrases which are inequalities.
The projected worth (in millions of dollars) of a large company is modeled by the equation w=
256(1.09)t The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?
Answer:
510.10
Step-by-step explanation:
Notice the common ratio 0.09, which is also the projected annual growth rate.
In 2008, 8 years after 2000, the company's net worth should be
w(8) = 256(1.09)^8 = 510.10
Answer:
i think it's 510.10
Step-by-step explanation:
You see the common ratio 0.09, which is also the projected annual growth rate.
In 2008, 8 years after 2000, the company's net worth should be
w(8) = 256(1.09)^8 = 510.10
Step-by-step explanation:
hope this helps!
Mary has $50.00. She goes to the mall and buys lipstick and then she buys shampoo, which is
half the price of the lipstick. She then spends half of what she has left on a purse, leaving her
with $15.00. How much did the shampoo cost? How much did the lipstick cost?
Answer:
Hey there!
Let x be the price of lipstick
Let 1/2x be the price of shampoo
1.5x=20
x=13.33
1/2x=6.67
The shampoo costed $6.67, and the lipstick costed $13.33
Let me know if this helps , or if you have any more questions :)
Answer:
Thank shampoo costed $7.50 and the lipstick costed $15
Step-by-step explanation:
So if you subtract 15 by 50 you get 35 dollars. Then if you divide 35 by 2 you get 15.5 but the .5 is no important right now. So that's how you get 15 dollars for the lipstick and the shampoo was $7.50. The purse was $12.50.
What is the answer to number 4, Also what is the process of solving it?? Thanks
Answer:
44.8
Step-by-step explanation:
It’s a ratio. You can compare similar sides to find x. You could use either 10 and 28, or 22 and 38.5.
10/28=16/x
Cross multiply.
10x=28*16
10x=448
x=44.8
Answer:
Well Judging By Your Picture You Multiply Length by width by Height
Step-by-step explanation:
Need to zoom in can any find these two out for me?
Answer:
9. Juanita's recipe.
10. Leon's recipe.
Step-by-step explanation:
9. All you need to do is convert the numbers into fractions.
Juanita's recipe: 4 parts lemon, 2 parts sugar. Lydia's recipe: 5 parts lemon and 3 parts sugar. So in order to find the lemon amount in each recipe convert into this fraction:
lemon/sugar
Juanita: lemon/sugar= 4 lemon/2 sugar
Lydia: lemon/sugar= 5 lemon/3 sugar
The LCM is 6 so that is the denominator.
Juanita: 4 lemon/2 sugar= 12 lemon/6 sugar
Lydia: 5 lemon/3 sugar= 10 lemon/6 sugar
The ratio is 4:2= ?:6 and 5:3= ?:6
Juanita has 12 lemon and Lydia has 10, so Juanita has more lemons.
10. Same as number 9.
Use the fraction peanuts/pretzels because it wouldn't work if peanuts is on the bottom otherwise both Leon and Cisco's peanut amount will be the same. SO put peanuts over pretzels, so pretzels will be the denominator so we can find the peanut amount.
peanuts/pretzels
Leon: peanuts/pretzels= 3 peanuts/8 pretzels
Cisco: peanuts/pretzels= 2 peanuts/6 pretzels
The LCM is 24 so that is the denominator.
Leon: 3 peanuts/8 pretzels= 9 peanuts/24 pretzels
Cisco: 2 peanuts/6 pretzels= 8 peanuts/24 pretzels
The ratio is 3:8= ?:24 and 2:6= ?:24
Leon has 9 peanuts and Cisco has 8, so Leon has more peanuts.
You have $1,900 in savings for retirement. If your investments earn 8% annually, how much will you have in your retirement account in 6 years?
Answer:
$3,015
Step-by-step explanation:
To determine the amount that you will have in 6 years, you have to use the formula to calculate the future value:
FV=PV*(1+i)^n
FV= future value
PV= present value= $1,900
i= interest rate= 8%
n= number of periods of time= 6 years
FV=1,900*(1+0.08)^6
FV=1,900*(1.08)^6
FV=3,015
According to this, the answer is that in 6 years you will have $3,015 in your retirement account.
i need help w this question
Answer:
360 degrees
Step-by-step explanation:
Remember that triangles have a sum of 180 degrees, and that quadrilaterals have 360 degrees.
You can either use that part, or actually solve for it.
The equation for the sum of the interior angles is:
[tex]sum=180(n-2)[/tex] [which "n" is the number of sides]
So, if we add in the number of sides to the equation, it changes to:
[tex]180(4-2)=180(2)[/tex], which equals to 360 degrees.
Please help! Please explain as well!
Answer:
x=10 84 cm
Step-by-step explanation:
We know that a square has 4 sides, and each side length is (2x+1). So we need to distribute the 4.
4(2x+1)
8×+4 is the perimeter for the square.
A triangle has 3 sides, and each side length is (3x-2). So we need to distrbute the 3.
3(3x-2)
9x-6 is the perimeter of the triangle.
We know that these perimeters are equal to each other. Then we just solve for x.
8x+4=9x-6
10=x
Plug 10 into the square equation.
8(10)+4
84 cm
Answer:
x = 10
Square perimeter = 84cm
Triangle perimeter = 84cm
Step-by-step explanation:
Hello!
First, we make an equation to find the perimeter of each shape
For a square we multiple one side by 4
(2x + 1) * 4
Simplify
8x + 4
An equilateral triangle means each side is equal so we can multiply one side by 3
(3x - 2) * 3
Simplify
9x - 6
The problem states they are equal to each other so we can show that
8x + 4 = 9x - 6
Now we can solve for x
Subtract 8x from both sides
4 = x - 6
Add 6 to both sides
10 = x
Now we can put x into our original equations for the perimeters
Square
8(10) + 4
80 + 4
84cm
Triangle
9(10) - 6
90 - 6
84cm
Hope this Helps!
Question 4 will mark the brainliest:)
Answer:
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
Step-by-step explanation:
Let's evaluate each answer choice.
For reference, the data set is 90, 79, 5, 84, 95, 81 , 87, 94
From least to greatest: 5, 79, 81, 84, 87, 90, 94, 95
A. Since the data has many repeated values, the mode best represents the data.
⇒ The data set has no repeated values. Therefore, this answer choice cannot be correct.
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
⇒ This choice is correct. 5 is an extreme value. If we were to arrange the data from the least to greatest, the middle numbers would all be around 80 to 90 ( no big gaps).
C. Since there are no extreme values, the mean best represents the data.
⇒This data set does have an extreme value. There is a 5 in the mix of 80s and 90s. So, this answer is not correct.
D. Since there are no extreme values and few repeated numbers, the median best represents the data.
⇒ As previously mentioned, there is an extreme value of 5. We can eliminate this choice.
Therefore, the best answer choice is B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.