Answer:
The p-value is [tex]p-value = 0.0039854[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1100
The population proportion is p = 0.50
The sample proportion is [tex]\^ p = 0.54[/tex]
The null hypothesis is [tex]H_o : p = 0.50[/tex]
The alternative hypothesis is [tex]H_a : p > 0.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]
=> [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]
=> [tex]z = 2.6533[/tex]
Generally from the z-table the probability of 2.6533 for a right tailed test is
[tex]p-value = 0.0039854[/tex]
Susan needs to buy apples and oranges to make fruit salad. She needs 15 fruits in all. Apples cost $3 per piece, and oranges cost $2 per piece. Let m represent the number of apples. Identify an expression that represents the amount Susan spent on the fruits. Then identify the amount she spent if she bought 6 apples. 30 + 5m; $36 30 + m; $36 30 + 5m; $24 30 + m; $24
Answer:
m + 30 ; $36
Step-by-step explanation:
Given that:
Total fruits needed = 15
Fruits needed :
Apple (m) ; cost = $3 per piece
Oranges (o) ; cost = $2 per piece
Amount spent on fruits :
[(cost of apple * number of apples) + (cost of orange *(total fruits - number of apples)]
3m + 2(15 - m)
3m + 30 - 2m
3m - 2m + 30
m + 30
Amount spent if 6 apples is purchased :
m = 6
m + 30
6 + 30 = $36
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?
The correct and complete question is shown below;
The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?
Answer:
The probability that the student's GMAT score is higher than 725 = 0.3928
Step-by-step explanation:
From the given information:
Let X be the random variable that follows a normal distribution;
Then;
[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]
To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]
[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]
[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]
By using the EXCEL FORMULA: [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]
P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]
P(X< 725) = 0.9522
P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]
P(X< 710) =0.8783
[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]
[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]
[tex]P(X > 725 | X > 710)=0.3928[/tex]
Lilliana is training for a marathon. She runs the same distance every day for a week on Monday,
Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?
Answer: 6 miles
Step-by-step explanation:
WEDNESDAY + FRIDAY (# OF MILES)
The Miles Covered by Each Lap = 3x
The Miles on Top of That = 6
TUESDAY + SUNDAY (# OF MILES)
The Miles Covered by Each Lap = 5x
The Miles on Top of That = 2
You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.
SOLVING EQUATION FOR MILES PER LAP
Step 1) 3x + 6 = 5x + 2
given equation from what we put together.
Step 2) -3x + 3x + 6 = 5x + 2 -3x
subtract 3x from both sides.
Step 3) -2 + 2x + 2 = 6 -2
subtract 2 from both sides.
Step 4) 2 × x = 4
divide both sides by 2 because you want to put the variable (x) on one side.
Step 5) x = 2 miles for each lap
Now you want to go look back at the equation and plug in 2 for the variable x.
Step 6) 5 ×2 + 2 = 12
PEMDAS!
Step 7) 12 ÷ 2 = 6
SHE RUNS 2 MILES ON SATURDAYS!
Four times the sum of f and g is identical to six times g
Answer:
4(f+g)=6g
Step-by-step explanation:
4(f+g)=6g
BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?
Answer:
24 cups of sliced apples
Step-by-step explanation:
6 multiplied by 4=24
hope this helps
I need help with mixed numbers when subtracting plz
Answer:
turn it into an improper fraction then subtract
Step-by-step explanation:
5×6=30
30+1=31
31/6
3×6=18
18+5=21
21/6
31/6 - 21/6 = 10/6
simplify: 5/3 ♡
I'm not sure tho lol
For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.
Answer:
First, let's write our equation in a general way.
We know that:
1 cubic foot weighs 80 pounds.
The container weighs 40 pounds.
Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.
We can write this as:
w(n) = 40lb + n*80lb
This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.
You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.
Answer
ok, Just plot the points at (0,40) and (2,200) :))
If peter drove for 9 hours at an average speed of 63 miles per hour, how far did he drive?
Answer:
567 miles
Step-by-step explanation:
9 hours x 63 miles per hour = 567 miles total
PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.
Answer:
Yes, [tex]2a . 38b = 4a . 19b[/tex]
Step-by-step explanation:
Given
[tex]Expression: 2a.38b[/tex]
Required
Is 4a a factor of the expression?
Analyzing each option.
1.
[tex]2a . 38b = 4a . 19b[/tex]
[tex]76ab = 76ab[/tex]
The above expression is true.
Hence: This option answers the question
translate the sentence into an equation
The sum of 6 times a number and 2 is equal to 3
Answer:
6x + 2 = 3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example I'm using x)
When you put it all together, it is 6x + 2 = 3
The required equation is 6x + 2 = 3.
It is required to find the equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers
Given:
The sum of 6 times a number and 2 equals 3.
According to given question we have,
Let the number be x.
6 times a number would be
6x
The sum of 6 times a number and 2 equals 3.
6x + 2 = 3.
Therefore, the required equation is 6x + 2 = 3.
Learn more about equation here:
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Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =
Answer:
denominator
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
2/3×2/2 + 1/6
4/6 + 1/6
5/6
i have a test and only have an hour please hurry!
90 / 3* (9 +6)=?
Answer:
450
Step-by-step explanation:
9+6= 15
90/3= 30
30*15=450
Help me please is the math
Answer:
2nd) which is 4 multiplied by 5 multiplied by 2
Help please thanks :)
Answer:
the answer is part 3 : exactly 30 .....
g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.
Step-by-step explanation:
The snowball is spherical in nature
The total surface area of the ball = 4πr²
Or 4π(d/2)²
S = 4πd²/4
S = πd²
d is the diameter of the ball
The rate at which the area is decreasing is expressed as;
dS/dt = dS/dd • dd/dt
dd/dt is the rate at which the diameter is decreasing
dS/dd = 2πd
dS/dt = 2πd • dd/dt
dS/dt = 2π(9) • dd/dt
8 = 18π•dd/dt
dd/dt = 8/18π
dd/dt = 4/9(3.14)
dd/dt = 4/28.26
dd/dt = 0.1415cm/min
Hence the diameter is decreasing at the rate of 0.1415cm/min
If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.
Which of the following is a true statement 68/5 - 22/5 = 9 1/5
Please somebody awnser
Answer:
The answer is D
Step-by-step explanation:
I took the test and got it right <3
Answer: The first question in the selection is correct!
Step-by-step explanation:
3 5 of students at a school are boys. If there are 2610 students at the school, how many are girls?
Answer:
1044 girls in the school
Step-by-step explanation:
3/5*2610=1566 boys
2610-1566-1044 girls
it should be 1044 because
3/5=.6 or 60%boys and 40% girls
2610 * 60% or .6 = 1566 boys
2610 - 1566boys = 1044 girls
or
2610 * 40% or .4 = 1044 girls
so there are 1044 girls at the school
How many days are in 5 years? Correct answer gets brainliest. 2 possible answers
Answer:
1826.21099
Step-by-step explanation:
Answer: 1825 days.
Step-by-step explanation: 365x5=1825
Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?
Answer:
The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget
Answer: c, offer 3
Step-by-step explanation: just did the quiz
Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5
Answer:
2bags= $14 + $5
3bags= $21+ $5
4bags= $28 + $5
5bags= $35 + $5
6bags= $42 + $5
multiply # of bags by 7
and add $5
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be the dimensions of the rectangular box).
Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)
Given, rectangular box with largest volume.
Let f(x , y , z) = xyz
Ф ≡ xy + yz + xz - 2 = 0
[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]
[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]
[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]
xy + yz + xz - 2 = 0........4
Solving the above 4 equations,
[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]
Evaluating the lambda values,
x = y
Similarly, y = z
Therefore, x² + x² + x² - 2 = 0
x = √2/3
y = √2/3
z = √2/3
Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)
Know more about rectangle,
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Choose the letter of the correct answer Write your answer on a separate
sheet
1. What do you call an expression in fraction form in which the numerator and
the denominator are polynomials?
A. rational algebraic equation
C. rational algebraic expression
B. linear algebraic expression
D. finear algebraic equation
2. In a rational algebraic expression written in the form of where P and Q are
polynomials, the polynomial Q must not be equal to
AO
C 2
B.
D. 3
3. Which of the following is a rational algebraic expression?
Answer:
1. Rational Algebraic Expression
2. 0
3. See explanation
Step-by-step explanation:
Solving (1):
From the list of given options, Option C. Rational Algebraic Expression answers the question.
And it is always of the form P/Q where P and Q are polynomials
Take for instance
P = x² - x + 2 and Q = x² + 2x - 4
P/Q = (x² - x + 2)/(x² + 2x - 4)
The above expression is a perfect example of a Rational Algebraic Expression
Solving (2): The denominator of a rational algebraic expression must not equal 0
Hence, option A answers the question
Solving (3): The options are missing.
However, a perfect example has been sighted on (1) above
The auxiliary equation for the given differential equation has complex roots. Find a general solution. y''-10y' 29y=0
Answer:
[tex]y = Acos5x - Bsin5x[/tex]
Step-by-step explanation:
Given the differential equation y''-10y'+29y=0
First, we need to rewrite it as an auxiliary equation as shown:
Let y'' = m²y and y' = my
Substitute the values into the general equation
m²y-10my+29y = 0
Factor out y:
(m²-10m+29)y = 0 [The auxiliary equation]
Solve the auxiliary equation and find the roots of the equation
m²-10m+29 = 0
m = -b±√(b²-4ac)/2a
a = 1, b = -10, c = 29
m = -10±√(10²-4(1)(29))/2(1)
m = -10±√(100-116)/2
m = -10±√-16/2
m = (-10±4i)/2
m = -10/2 + 4i/2
m = -5+2i
Comparing the complex number with a+bi, a = -5 and b = 2
The general solution for complex solution is expressed as:
[tex]y = Acosax + Bsinax[/tex]
Substitute the value of a in the equation
[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]
Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]
f(x) = 2x^3 g(x) = x-3
find f(2)
find g(4)
find (f+g) (x)
[tex]f(x) = 2 {x}^{3} [/tex]
[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]
_________________________________
[tex]g(x) = x - 3[/tex]
[tex]g(4) = 4 - 3 = 1[/tex]
_________________________________
[tex](f + g)(x) = f(x) + g(x) [/tex]
[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]
_________________________________
Done...♥️♥️♥️♥️♥️
The sum of 48 and itself, its half and half of the half is added to 18.
Answer:
150
Step-by-step explanation:
This is a word problem which should be tackled accordingly.
The sum of 48 and itself
= 48+48
= 96
It's half and half of its half
= 48/2 and (48/2)/2
= 24+ 24/2
= 24+12
= 36
Is added to 18
= 96+36+18
= 150
From the description above the entire sum is 150.
what ratio is lesa than 7/15
Answer:
2/5=6/15 and that is less so....
Step-by-step explanation:
7th grade math help me plzzz
Answer:
11.a) is 15+5.50+3 maybe
11.b) is $3.50 because 15-12=3 3+5.50=8.50 8.50+3=11.50 11.50-8=3.50
. Solve for x. Show your work: 4(x+1)= -3x-10 :)
Answer:
x = - 2
Step-by-step explanation:
Distribute
4(x + 1) = -3x - 10
4x + 4 = -3x - 10
Subtract 4 from both sides of the equation
4x + 4 = -3x - 10
4x + 4 − 4 = −3x − 10 − 4
Simplify
Subtract the numbers
4x+4−4=−3x−10−4
4 = − 3 − 1 0 − 4
Subtract the numbers again
4 = − 3 − 14
Add 3x to both sides of the equation
4 = − 3 x − 1 4
4 + 3 = − 3 − 1 4 + 3
Simplify
Combine like terms
4 + 3 = -3x-14+3x
7x =−3x−14+3x
Divide both sides of the equation by the same term
7 = − 1 4
7 /7 = -14/7
Cancel terms that are in both the numerator and denominator
7x/7 = -14/7
x = -14/7
Divide the numbers
= − 1 4 /7
= − 2
Find the value of x.
Please help!!
Answer:
5
Step-by-step explanation:
Use the Exterior Angle Theorem.
The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.
In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:
17x - 4 + 8x = 121
First, combine like terms:
17x + 8x - 4 = 121
(17x + 8x) - 4 = 121
(25x) - 4 = 121
Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides of the equation:
25x - 4 (+4) = 121 (+4)
25x = 121 + 4
25x = 125
Next, divide 25 from both sides:
(25x)/25 = (125)/25
x = 125/25
x = 5
5 is your value for x.
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