Answer:
what are the options
Step-by-step explanation:
Find the missing side and round the answer to the nearest tenth.
Answer:
72
Step-by-step explanation:
41+31
The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly selected, find the probability that he weighs between 170 and 220 pounds. Round to four decimal places.
Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 200, \sigma = 50[/tex]
Find the probability that he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{220 - 200}{50}[/tex]
[tex]Z = 0.4[/tex]
[tex]Z = 0.4[/tex] has a pvalue of 0.6554
X = 170
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{170 - 200}{50}[/tex]
[tex]Z = -0.6[/tex]
[tex]Z = -0.6[/tex] has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
a sample of 49 observations is taken from a normal population with a standard deviation of 10. the sample mean is 55. Determine the 99% confidence interval for the population mean.
Answer:
55+/-3.69
= (51.31, 58.69)
Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x =55
Standard deviation r = 10
Number of samples n = 49
Confidence interval = 99%
z-value (at 99% confidence) = 2.58
Substituting the values we have;
55+/-2.58(10/√49)
55+/-2.58(1.428571428571)
55+/-3.685714285714
55+/-3.69
= (51.31, 58.69)
Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)
Fill in the blanks. The margin of error ________ with an increased sample size and ________ with an increase in confidence level.
Answer:
none none and none
Step-by-step explanation:
Write the inequality, “The captain can fly a maximum of 100 hours a month and he has already flown 52 hours.” Write an inequality to represent this situation and solve the number of hours to satisfy the given problem and graph the solution.
Answer:
[tex]0\leq t\leq 48[/tex] .
Step-by-step explanation:
The given statement is “The captain can fly a maximum of 100 hours a month and he has already flown 52 hours.”
Let t be the remaining hours in which the captain can fly.
Total hours = (t + 52) hours
Captain can fly a maximum of 100 hours a month. So,
[tex]t+52\leq 100[/tex]
Subtract 52 from both sides.
[tex]t\leq 100-52[/tex]
[tex]t\leq 48[/tex]
Time can not be negative. So,
[tex]0\leq t\leq 48[/tex]
It means, captain can fly further 0 to 48 hours.
The graph of this inequality is shown below.
I NEED HELP PLEASE, THANKS! :)
Answer:
Option B
Step-by-step explanation:
First identify which options are a match for the hyperbola with a foci of (- 12, 6) and ( 6, 6 ). If there is only one, we can claim that that is the solution. Otherwise we would have to take the vertices into account,
The first option can be eliminated as it is present with a decimal in the denominator, indicating that the foci should also be a decimal. However, the foci of this option should be valuable to us -
[tex]\left(h+c,\:k\right),\:\left(h-c,\:k\right),\\\left(-3+c,\:6\right),\:\left(-3-c,\:6\right),\\c = ( About ) 3.6,\\\\Foci = \left(0.55808 ,\:6\right),\:\left(-6.55808,\:6\right)[/tex]
The second option squares the denominators of the first option, so the foci should be the following -
[tex]Foci = ( - 12, 6 ), ( 6, 6 )[/tex]
Which is the given! The rest of the options are similar to this second option, but are altered, thus don't have the same foci,
Solution = Option B
Jennifer and Stella are cooks at a restaurant that serves breakfast. On a particular day, the two of them tracked the number of pancakes they cooked. The number of pancakes that Jennifer cooked is represented by the following function, where x is the number of hours. The number of pancakes that Stella cooked is shown by the graph below. Who cooked more pancakes in 8 hours?
Answer:
Stella
Step-by-step explanation:
I guessed and got it right
Touch base for some math nomenclatures. Optimize to 1 to 1 and use all if there are 1 to more connections.
1. An equation for electric current
2. An equation for a linear curve
3. A constant
4. A 1st order differential equation
5. A 2nd order differential equation
6. An ordinary differential equation (1st order)
7. A partial differential equation
8. An integration equation
A. Y = 8x + 6
B. I = V/R
C. y = 8x + 6
D. y' - 8x - 6 = 0
E. 12.23154687854
F. 100 y = (8x + 6)dx
G. dz = 8xdx + 8dy
H. y" = 8
Answer:
1 - B
2 - A, C
3 - E
4 - D
5 - H
6 - D
7 - None
8 - F, G
Step-by-step explanation:
1. We know the equation that :
[tex]V = I \times R[/tex]
Where V is the voltage
I is the Electric Current and
R is the resistance
So,
[tex]I = \dfrac{V}{R}[/tex]
2. An equation of a linear curve is represented as:
y = mx+c or
Y = mX+C
So, the correct matches are:
A. Y = 8x + 6
and
C. y = 8x + 6
3. A constant:
The constant expression as in options is:
E. 12.23154687854
4. 1st order differential equation is the equation in which there is differentiation done once.
[tex]y'[/tex] or [tex]\dfrac{dy}{dx}[/tex] are used to represent it.
So, correct option is D. y' - 8x - 6 = 0
5. A 2nd order differential equation is the equation in which there is differentiation done once.
[tex]y''[/tex] or [tex]\dfrac{d^2y}{dx^2}[/tex] are used to represent it.
So, correct option is H. y" = 8
6. An ordinary differential equation (1st order)
Same as answer to part 4.
[tex]y'[/tex] or [tex]\dfrac{dy}{dx}[/tex] are used to represent it.
So, correct option is D. y' - 8x - 6 = 0
7. A partial differential equation is an equation that contains a term represented as:
[tex]\dfrac{\partial y}{\partial x}[/tex]
but there is no such term given here, so no option matches.
8. An integration equation:
The correct options are F and G.
F. [tex]100 y = \int(8x + 6)dx[/tex]
G. [tex]\int dz = \int 8xdx + \int 8dy[/tex]
Describe the possible echelon forms of a nonzero 2 x 2 matrix.
Answer:
we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.
-> if our matrix has two pivot columns then : [tex]\left(\begin{array}{rr}-&*&0&-\end{array}\right)[/tex]
-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: [tex]\left(\begin{array}{rr}-&*&0&0\end{array}\right)[/tex]
->otherwise, if the pivot column is the second column then: [tex]\left(\begin{array}{rr}0&-&0&0\end{array}\right)[/tex]
Which is the more reasonable temperature for a snowy day: 30° C or 30° F?
Answer:
30° F
Step-by-step explanation:
30° F is the more reasonable temperature for a snowy day.
Two 6-sided dice are rolled. What is the probability that the sum of the two numbers
on the dice will be 7?
Answers
17/18
1/2
1/7
1/6
Answer:
The probability of obtaining a sum of 7 = 1/6
Step-by-step explanation:
Two sided dice are rolled.
The probability of obtaining the sum of 7 is.
The total space or Total sum or Total sample space = 6*6 = 36.
The possible occurrence that will sum to 7 are = 3,4) 4,3) 2,5) 5,2) 6,1) 1,6)
There are only six possible outcome out if 36 sample space
The probability of obtaining a sum of 7 = 6/36
The probability of obtaining a sum of 7 = 1/6
How many 3-digit numbers can be formed if repetition is
allowed?
Answer: up to 999
Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.
Two spheres of the same outer diameter, one solid and the other hollow, are completely immersed in the water. We can affirm:
a) The hollow receives less push
b) The hollow receives more push
c) Both receive the same push
d) The solid receives less push
Answer:
c) Both receive the same push
Step-by-step explanation:
The buoyancy force is equal to the weight of the displaced fluid:
B = ρVg
where ρ is the density of the water, V is the volume of displaced water, and g is the acceleration due to gravity.
Since both spheres displace the same amount of water, they have equal buoyancy forces.
What is the slope of this line?
Answer:
3/2
Step-by-step explanation:
We can find the slope of this line by using two points
(1,-3) and (3,0)
m = (y2-y1)/(x2-x1)
= (0- -3)/(3 -1)
= (0+3)/(3-1)
= 3/2
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answer:
20/3 * 10.50 = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
We khow that 3 gallons of gasolone are worth 10.50 dollars and it takes 20 gallons to do the one way trip .
we can say that :
3 gallons ⇒ 10.5 dollars20 gallons⇒ x
x= (20*10.5)/3=70
we deduce that : the familly badget must be equal to 70 dollars
find the length of side A
Answer:
First option: 3
Step-by-step explanation:
To solve for side 'a', use the Pythagorean Theorem
a² + b² = c²
where "c" is always the longest side called the hypotenuse,
"a" and "b" are the two shorter sides called legs.
Substitute c = 5 (hypotenuse) and b = 4
a² + b² = c²
a² + (4)² = (5)²
Square the numbers you know
a² + 16 = 25
Subtract 16 on both sides to isolate 'a'
a² = 25 - 16
a² = 9
Find the square root on both sides
a = √9
a = 3
The answer is option A. ( i.e 3)... answer.
How much of salt would you get if you evaporate all water from 20g of a 17% salt solution?
Answer:
3.4 grams
Step-by-step explanation:
The water 20g has salt solution of 17%.
If you were to evaporate all the water.
17% × 20
0.17 × 20 = 3.4
You would get 3.4 grams of salt.
The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage of salt solution be = 17 %
The total amount of solution = 20g
The amount of salt while evaporating the solution is =
percentage of salt solution x total amount of solution
So , the equation will be
The amount of salt while evaporating the solution is = ( 17 / 100 ) x 20
The amount of salt while evaporating the solution is = 0.17 x 20
The amount of salt while evaporating the solution is = 3.4 grams
Therefore , the value is 3.4 grams
Hence , The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt
To learn more about equations click :
https://brainly.com/question/10413253
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Grandma baked many biscuit cakes. She glazed a quarter of all the cakes with chocolate, and decorated a third of the rest of the cakes with nuts. Half of the remaining cakes were decorated with fruit, and then she put whipped cream on the final 15 cakes. How many cakes did Grandma bake?
Answer:
Grandma baked 72 cakes
Step-by-step explanation:
Let x=biscuits cake baked by grandma
1/4x=chocolate
1/3x=nuts
1/4+1/3=3+4/12
=7/12x
Remaining
X-7/12x
=12-7x/12
=5/12x
1/2 of 5/12x=fruit
5/24x =fruit
Remaining
5/12x-5/24x=15
10-5/24x=15
5/24x=15
x=15÷5/24
=15*24/5
=360/5
=72
x=72 cakes
Grandma baked 72 cakes
Answer: 60
Step-by-step explanation:
so the first thing is 1/4 of the whole thing is gone. Then a third of the now 3/4 is another 1/4 which makes 1/2. A 1/2 of 1/2 is a 1/4 which means the last 1/4 is 15. Then do 15*4 to get your answer.
Five companies employed 2340, 3455, 675, 960 and 1350 workers. The first company laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for every 3. a) What was the total number of workers at the beginning c) How many people: i) Lost job ii) Got job d) What was the total number of workers finally
Answer:
a) 8780
c) i) 1159
ii) 1990
d) 9611
Step-by-step explanation:
a) What was the total number of workers at the beginning
Solution:
Total number of workers at the beginning
= 2340 + 3455 + 675 + 960 + 1350
= 8780
c) How many people: i) Lost job
Solution:
The first company laid off 1 worker for every 5 workers,
Workers employed were 2340 and 1 worker laid for every 5 workers. So,
2340/5 = 468
Hence 468 lost job in first company.
If you see the statement while the other three recruited 2 new workers for every 3. Assuming that the first two companies laid off 1 worker for every 5 workers, then for the second company:
Workers employed were 3455 and 1 worker laid for every 5 workers. So,
3455 / 5 = 691
Hence 468 lost job in second company.
Now total workers that lost job:
468 + 691 = 1159
ii) Got job
Solution:
As the other three companies recruited 2 new workers for every 3. Thus the number of people who got job in these three companies are:
= (675 * 2 + 960 *2 + 1350 *2) / 3
= (1350 + 1920 + 2700) / 3
= 5970 / 3
= 1990
Hence 1990 people got the job.
d) What was the total number of workers finally
Solution:
Total number of workers:
8780 number of workers at the beginning
1159 from companies who lost job
1990 from companies who got job
So adding the workers who got job in the workers at beginning and subtracting the workers who lost job we get:
total number of workers finally:
= 8780 + 1990 - 1159
= 9611
Hence total number of workers finally are 9611.
What is the output of the following function for x = -4?
F(x) = 3x^5 + 4x^3 -x +11
Answer:
-3313
Step-by-step explanation:
3x^5 + 4x^3 - x +11
Put x as -4 and evaluate.
3(-4)^5 + 4(-4)^3 - (-4) + 11
-3072 + - 256 + 4 + 11
= -3313
What are the solutions to log (x2+8)= 1 +log (x)?
Answer:
Step-by-step explanation:
log(x²+8)=1+log(x)
log(x²+8)-log(x)=1
[tex]log\frac{x^2+8}{x} =1\\\frac{x^2+8}{x} =10^1\\x^2+8=10x\\x^2-10x+8=0\\x=\frac{10 \pm \sqrt{(-10)^2-4*1*8} }{2} \\=\frac{10 \pm \sqrt{100-32} }{2} \\=\frac{10 \pm \sqrt{68} }{2} \\=\frac{10 \pm 2\sqrt{17} }{2} \\=5 \pm \sqrt{17}[/tex]
What is the simplified form of the inequality below? S - 7 < 3
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
i hope this will help you :)
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance from point D' to the origin is One-third the distance of point D to the origin. The measure of ∠E' is One-third the measure of ∠E. △DEF △D'E'F'
Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:
[tex]\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}[/tex]
Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
Answer:
I think it's the first, third, and fifth options.
Step-by-step explanation:
I hope this helps.
The lives of a premium sports car's brakes are normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. What is the probability that such brakes last between 54,000 and 66,000 miles? Group of answer choices
Answer:
86.64% probability that such brakes last between 54,000 and 66,000 miles
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 60000, \sigma = 4000[/tex]
What is the probability that such brakes last between 54,000 and 66,000 miles?
This is the pvalue of Z when X = 66000 subtracted by the pvalue of Z when X = 54000.
X = 66000
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66000 - 60000}{4000}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
X = 54000
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{54000 - 60000}{4000}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
0.9332 - 0.0668 = 0.8664
86.64% probability that such brakes last between 54,000 and 66,000 miles
7x-14=3x+12
Solve for x!
Answer: x = 6.5
Step-by-step explanation:
[tex]7x-14=3x+12\\\\Add(14)\\\\7x=3x+26\\\\Subtract(3x)\\\\4x=26\\\\Divide(4)\\\\x=6.5[/tex]
Hope it helps <3
Answer:
x=26/4 (simply to 13/2)
Step-by-step explanation:
Add 14 to both sides to cancel out the negative 14
7x=3x+26
Subtract 3x from both sides to cancel the 3x
4x=26
x=26/4 or 13/2
What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44
Answer:
work is shown and pictured
Answer:
(-2, 13)
Step-by-step explanation:
Or b on edge
Eight times the difference between a number and six is equal to four times the number. What’s the number?
Answer:
12
Step-by-step explanation:
Given:
Let the number be x.
According to the question,
8(x-6)= 4 x
8 x-48=4 x
8 x-4 x= 48
4 x=48
x=48/4
x=12
Thank you!
Write the inverse of g(x)=x²-7
Answer:
[tex]\± \sqrt{x + 7}[/tex]
Step-by-step explanation:
y = x² - 7
Add 7 to both sides.
y + 7 = x²
Take square root on both sides.
±√(y + 7) = x
Switch variables.
±√(x + 7) = y
The lengths of a rectangle have been measured to the nearest tenth of a centimetre they are 87.3cm and 51.8cm what is the upper bound for the area?
Given:
The lengths of the rectangle have been measured to the nearest tenth of a centimetre 87.3 and 51.8
To find:
the upper bound for the area of the rectangle
Solution:
From given, we have,
The length of the rectangle = l = 87.3 cm
The breadth of the rectangle = b = 51.8 cm
Area of the rectangle = lb = 87.3 × 51.8 = 4522.14 cm²
The upper bound for the area of the rectangle = 4522.14 + 100/2 = 4522.14 + 50 = 4572.14 cm²
From a sample with nequals8, the mean number of televisions per household is 4 with a standard deviation of 1 television. Using Chebychev's Theorem, determine at least how many of the households have between 2 and 6 televisions.
Answer:
75% of the households have between 2 and 6 televisions
Step-by-step explanation:
From the question, we can deduce the following;
sample size n= 8
sample mean μ = 4
standard deviation σ = 1
Using Chebychev’s theorem;
P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)
= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)