Answer:
8
Step-by-step explanation:
using [tex]a^2 = b^2 = c^2[/tex] a= 6 c=10
Alex's times for running a mile are Normally distributed with a mean time of
5.28 minutes and a standard deviation of 0.38 seconds. Chris's times for
running a mile are Normally distributed with a mean time of 5.45 seconds
and a standard deviation of 0.2 seconds. Ten of Alex's times and 15 of Chris's
times are Tandomly selected. Let x Overbar Subscript Upper A Baseline
minus x Overbar Subscript Upper C represent the difference in the mean
times for Alex and Chris. Which of the following represents the shape of the
sampling distribution for x Overbar Subscript Upper A Baseline minus x
Overbar Subscript Upper C?
Answer: Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris. Which of the following represents the shape of the sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C?
Normal, because both population distributions are Normal.
Uniform, because the both sample sizes are less than 30.
Skewed right, because the difference in times cannot be negative.
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
Step-by-step explanation: Can someone tell me the answer?
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds.
Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds.
Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris.
What is the standard deviation?The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Normal, because both population distributions are Normal.
Uniform, because both sample sizes are less than 30.
Skewed right, because the difference in times cannot be negative.
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
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5d - 7 - d + 4 please help!
Answer:
4d−3
Step-by-step explanation:
5d−7−d+4
Combine 5d and −d to get 4d.
4d−7+4
Add −7 and 4 to get −3.
4d−3
The simplified expression is 4d - 3.
Given is an expression 5d - 7 - d + 4 we need to simplify it,
We know that,
An expression is a combination of numbers, variables, and operations that can be evaluated to produce a value.
It can represent a mathematical relationship or a computation.
To simplify the expression 5d - 7 - d + 4, we can combine like terms.
First, let's group the terms with the variable "d" together:
(5d - d) - 7 + 4
Simplifying within the parentheses:
4d - 7 + 4
Combining the constants:
4d - 3
Therefore, the simplified expression is 4d - 3.
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Use the Law of Cosines to find angle round to the nearest tenth if necessary).
Answer:
Step-by-step explanation:
3a)
find side HP , let's set side HP = c in the law of cosines formula
then
c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]
c = sq rt [ 529 + 144 - (-250.6027559) ]
c = sq rt [ 673 + 250.6027559 ]
c = sq rt [ 923.602755 ]
c = 30.39
then
HP = 30.4 ( rounded to nearest 10th )
3b)
let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°
c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]
c = sq rt [ 81 + 484 -396*0.5150380 ]
c = sq rt [ 565 - 203.955 ]
c = sq rt [ 391.04495]
c = 19.7748
PR = 19.8 ( rounded to nearest 10th )
3c)
they want us to find ∠B, in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up. Kind of underhanded :/ Tell the teacher that you're "appalled" at the deviousness of the test :/ stage a protest against math that teaches treachery :P storm the principals/ dean's office with paper airplanes and pictures of anime :DDD okay back to math.
a=28
b=17
c=15
since we want angle B then the formula looks like
B= arcCos ( a^2 + c^2 - b^2 / 2*a*c) so we'll avoid messing up the which side is which ... by setting up the formula this way .. got it?
B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]
B = arcCos[784 + 225 - 289 /840 ]
B = arcCos[720/ 840]
B = arcCos[0.85714285]
B = 31.0027 °
that it came out so close to an integer I'm pretty sure it's right
∠B = 31 .0 ° ( rounded to the nearest 10th )
3d)
find ∠A
set it up carefully again, they are asking us to move the variable around again
a = 18
b= 28
c= 12
then the formula looks like
∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]
∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]
∠A = arcCos[784 + 144 -324 / 672 ]
∠A = arcCos[604/672]
∠A = arcCos[0.8988095]
∠A =25.99797 °
∠A =26.0 ° ( rounded to nearest 10th)
A student evaluates x2 - 2y when x = 6 and y = 3 and gets the answer 0. If the answer is not correct, which is the most plausible error that would
lead to the answer that the student obtained?
The student incorrectly calculated x in the following manner: x² = 62 = 36.
The student accidentally swapped the variables. Instead of calcuating x– 2y, he or she calculated y? - 2x
There is no error. The student's answer is correct.
The student failed to square the x part. This led to calculating r as 6 instead of 36.
Answer:
D
Step-by-step explanation:
D provides the only instance where the student would have gotten 0.
Solveequation.
a. 5(n – 4) = -60
Answer:
n = -8
Step-by-step explanation:
Answer:
-8
here's the solution
5(n - 4) = -60
5n - 20 = -60
5n = -60+20
5n = -40
n = -40/5
n= -8
hope it helps
I need help plz and fast
Answer:
1
Step-by-step explanation:
1+19=20
so only 1 visit is available if they only have $20 to use.
Answer:
1
Step-by-step explanation:
19+1=20
The distance between the points(-3, -5) and (2,7) on the coordinate plane is given as 5^2+ t^2. what us the value of t
Answer:
Step-by-step explanation:
so we can use [tex]t^{2}[/tex] + 25 as one expression and the find the distance between the points and set the expression equal to that number. That's our strategy.
dist = the square root of [tex]x^{2}[/tex] + [tex]y^{2}[/tex]
where x and y are the change in x2 to x1 and y2 to y1
P1 = ( -3, -5)
P2 = (2, 7 )
dist = square root of ( [2 -(-3) ]^2 + [7-(-5)]2)
dist = sq rt ( 5^2 + 12^2 )
dist = sq rt ( 25 + 144)
dist = sq rt (169)
dist = 13
now set our eq. equal to that number
[tex]t^{2}[/tex] + 25 = 13
[tex]t^{2}[/tex] = -12
this is looking kinda bad, do you know complex numbers?
t = 0 + j 3.46410
hmmm I'm wondering if you've left out .. or forgotten some thing in the question? :/
1.) what does X equal 4x = -12
2.)
Answer:
-3
Step-by-step explanation:
this is x equals to -3
we can divide the 4 to other side
In ΔJKL, k = 490 cm, l = 830 cm and ∠J=49°. Find ∠L, to the nearest degree.
Answer:
95
Step-by-step explanation:
kamisah cut 2-m piece of cloth from a roll if fabric. It was 8% of the lenght of the entire roll of fabric. Find the lenght of cloth left in the roll of fabric
Answer:
Length of cloth left in roll = 23 m
Step-by-step explanation:
Given:
Length of piece Kamisah cut = 2 m
Percent of piece Kamisah cut = 8%
Find:
Length of cloth left in roll
Computation:
Total Length = 2 [100/8]
Total Length = 25 m
Length of cloth left in roll = Total Length - Length of piece Kamisah cut
Length of cloth left in roll = 25 - 2
Length of cloth left in roll = 23 m
how do i do this i dont know.
[tex]\frac{1}{3}[/tex] yessssss sirr
how many solutions does 9x-18=3(3x-6)have?
Answer:
0
Step-by-step explanation:
9x-18=3(3x-6)
3(3x-6)=9x-18
9x-18=9x-18
9x-9x=0
-18+18=0
Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
9x - 18 = 3 (3x - 6)
The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
Example:
2x + 3 = 5
2 x 1 + 3 = 5
2 + 3 = 5
5 = 5
Where x = 1 is a solution.
We have,
9x - 18 = 3 (3x - 6)
9x - 18 = 9x - 18
Whatever value we put for x we will always get the same in both sides of the equation which means the equation is satisfied.
We see that the equation is equivalent.
This means the equation will have infinitely many solutions.
Thus,
The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.
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Simplify 6i(6 + 3i)
Answer:
6i(9i)
Step-by-step explanation:
can someone help me? please.
Answer:
A
Step-by-step explanation:
[tex]\frac{3}{11} = 0.2727272727[/tex]
27 is repeating so you draw a line over the number
Answer: 0.27 thats the answer hope you pass your grade
PLEASE HELP WITH QUESTION
In January, the ratio of the number of butterflies to the number of bees in a garden was 7 : 3. In February, the butterfly population decreased by 20% while the bee population increased by 30%.
(a) What was the percentage change in the combined butterfly and bee population?
(b) If there were 168 butterflies left in February, what was the butterfly population in January?
Answer:
a) The percentage change in the combined butterfly and bee population was a decrease of 5%.
b) The butterfly population in January was 210.
Step-by-step explanation:
In January, the ratio of the number of butterflies to the number of bees in a garden was 7 : 3.
This means that:
[tex]\frac{x}{y} = \frac{7}{3}[/tex]
In which x is the number of butterflies and y is the number of bees.
In February, the butterfly population decreased by 20% while the bee population increased by 30%.
This means that:
[tex]\frac{x}{y} = \frac{7*(1-0.2)}{3*(1+0.3)} = \frac{7*0.8}{3*1.3} = \frac{5.6}{3.9}[/tex]
(a) What was the percentage change in the combined butterfly and bee population?
January: 7 + 3 = 10
February: 5.6 + 3.9 = 9.5
Change
[tex]100*\frac{9.5-10}{10} = -\frac{50}{10} = -5[/tex]
This means that the percentage change in the combined butterfly and bee population was a decrease of 5%.
(b) If there were 168 butterflies left in February, what was the butterfly population in January?
February is 80% of January, for the population of butterflies. So
[tex]0.8x = 168[/tex]
[tex]x = \frac{168}{0.8}[/tex]
[tex]x = 210[/tex]
The butterfly population in January was 210.
A population of birds is growing exponentially at a rate of 4% per year. If the initial population contains 12 birds, write an equation that represents the population of birds in (x) years.
it would be something like this:
f(x) = 12 + x(4%)
but if you want it in y format then:
y = 12 + x(4%)
Carlos has 47 boxes that each have 10 markers. He gives 36 markers away.
How many markers does Carlos have left?
A. 93
B. 110
C. 434
D. 446
E. 506
Divide. Write the answer as a decimal.
4.705 ÷ 25 =
Answer:
the answer is 0.1882
A student answered 49 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the problems were worth the same number of points?
Answer:
50 questions.
Step-by-step explanation:
if you divide 100 by 49 you get 2.04 round down, each question is 2 points per question and the student got a 98% then just multiply 49 by 2 just to make sure, then go up. 50 times 2 is 100%, so the answer is 50 questions
Quick plzzzz hurry need help
The graph shows the function
f(x) = x4 + 2x3 – 13x2 – 14x + 24. Find the number of
terms.
In the given function number of terms is 5.
What is the number of terms?
Polynomials are algebraic formulas with any number of terms joined by addition or subtraction. A term is a number, a variable, or a product of a number and one or more exponentiated variables. Similar words (variables raised to the same power) can be joined to simplify a polynomial.
Given a function f(x) = x4 + 2x3 – 13x2 – 14x + 24 which has 5 Non-Zero coefficients. Therefore the number of terms is 5 in the given Function.
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What is 25.48271 increased by 45 thousandths?
Answer: 25.52771
Step-by-step explanation:
i got this answer and it was right :D
The required answer would be 25.48271 if 25.48271 increased by 45 thousandths.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
We have been given that 25.48271 increased by 45 thousandths.
Therefore, 25.48271 + 45/1000
⇒ 25.48271 + 0.045
⇒ 25.52771
Hence, the required answer would be 25.48271.
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what is 1.7 to the third power
Answer:
4.913 is your answer
gggggggggggggggggggggghhhggggggggg
Answer:
1.7x1.7x1.7=4.913
Step-by-step explanation:
1.7 to the third power equals 4.913. it is written like this: 1.7³
what is the slope of the line
Answer: -3/4
Step-by-step explanation:
The quadratic parent function, f(x) = x, is graphed on a coordinate plane. The graph of g(x)
is transformed to create the graph g(x) = 3f(x) +5. Which statement about the relationship
between the graph of f and the graph of g is true?
Answer:
true
Step-by-step explanation:
find the value of x
Answer:
31.8 that is it I just need to fill a 20 character long answer
If $500 is put in the bank and each year the account earns 8% simple interest, then how much interest will be earned in five years?
a) $200
b) $250
c) $280
d) $310
Answer:
Step-by-step explanation:
A movie theatre charges adults $10 to see a movie and charges children $6. If there wereq 120 people who saw a movue and the theatre collected $928, home many attendees were adults
Answer:
The number of adults tickets sold equals 52.
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of adults tickets sold
y= number of kids tickets sold
10x + 6y= 928
x + y=120
Now, we isolate x in one equation and change it in the other to obtain its value:
x= 120 - y
10(120 - y) + 6y = 928
1,200 - 10y + 6y = 928
272 = 4y
68 = y
x= 120 - 68= 52
Tomás earned $38.25 for cleaning the garage. He was paid $4.25 per hour. Write and solve an equation to find how many hours it took him to clean the garage.
WRONG ANSWERS REPORTED
RIGHT ANSWERS GET BRAINLIEST
Answer: it took him 9 hours
Can you help with this task please? I don't understand.
Answer:
nota entonces jwbsbsbwhe de un 2