Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
Nandini uses a code to open a security door.
The code is a letter followed by a 2-digit number.
The letter is Por Q.
The number is a prime number between 30 and 40
Write down all the possibilities for Nandini's code.
Can someone plz help me
Answer:
35 is a prime number between 30 and 40
Convert the angle - 3 radians to degrees, rounding to the nearest 10th
Answer:
171.9 degrees.
Step-by-step explanation:
The factor is 180/π.
So 3 radians = (3*180)/π
= 171.9 degrees.
can someone help? Will give brainliest
Answer:
a = 36
Step-by-step explanation:
3 + (11/12)a = 36
Subtract 3 from both sides
(11/12)a = 33
multiply both sides by 12
11a = 396
Divide both sides by 11
a = 36
Answer:
a = 36
Step-by-step explanation:
trust me and give brainliest
Solve for x: 2(x + 4) + 6 = 12x - 8
Answer:
x = 2.2
Step-by-step explanation:
2(x+4)+6 = 12x-8
Use distribution property
2x+8+6 = 12x-8
Combine like terms
2x+14 = 12x-8
Subtract 14 from both sides
2x = 12x-22
Subtract 12x from both sides
-10x = -22
Divide both sides by negative 10
x = 2.2 or x = 11/5 in fractions.
Hope this helps
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
Find the explicit rule for the geometric sequence of 3, -6, 12, -24
Answer:
The n-th term of this sequence is 3(-2)^(n-1)
Step-by-step explanation:
Term 1 = 3 = 3 X 1 =. 3(-2)^0
Term 2 = -6 = 3 X (-2) = 3(-2)^1
Term 3 = 12 = 3 X (-2) X (-2) = 3(-2)^2
…
The first term is 3, and every subsequent term is the previous term multiplied by -2.
Pls Hurry
Best answer gets brainliest
On a roadtrip, the distance driven can be represented by
the following equation
y = 15x
where x is the number of gallons of gas.
What does the 15 represent?
A) 15 gallons of gas were used
B) the gas cost $15
C) the road trip was 15 miles long
D) the car traveled 15 miles per gallon
CAN SOMEONE HELP ME ASAP PLS
Answer:
10 inches
Step-by-step explanation:
Half of the circle is 5 inches. the other half will be 5, which added together makes 10
What is a Hermitian?
Answer:
A Hermitian matrix is a matrix that is equal to its conjugate transpose. This generalizes the concept of a "symmetric matrix", since every real symmetric matrix is Hermitian.
please help will give brainliest
Answer:
6/25
Step-by-step explanation:
Total number of seats
12 + 15 + 23 = 50
Prob of first row
p = 12/50
p = 6/25
Simplify (49t ^ - 5)/(7 ^ - 3 * 10 * e ^ - 9) * (t * 0)
Pls fast
Answer:
[tex] \frac{(49 {t}^{ - 5} )}{( {7}^{ - 3} \times 10 {e}^{ - 9} ) \times (t \times 0)} \\ = \frac{( { {7}^{2} t}^{ - 5} ) \times 7 {}^{3} }{(10 {e}^{ - 9} )} \\ = \frac{ {7}^{5} }{( 10{t}^{5} {e}^{ - 9} ) } [/tex]
PLEASE WHOEVER DOES IT GETS BRAINLIEST
Answer:
first one on top to the left
Step-by-step explanation:
A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $400 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?
a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.
Objective (Profit) Function : 120 Po + 40 Co + 60 Ca
Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ; Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000
LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.
Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.
So, profit function is the objective function. Profit per acre potatoes, corn, cabbage = 120, 40 , 60 respectively.Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.
Here, Land constraint & budget constraints need to be satisfied. Total acres of land for potato, corn, cabbage = 100. Cost per acre potatoes, corn, cabbage = 400, 160, 280 respectively & total budget is 20000.To learn more, refer https://brainly.com/question/2500020?referrer=searchResults
Make x the subject of the formula: m=x−3b
Answer:
x = m + 3b
Step-by-step explanation:
add 3b to each side
x = m + 3b
Answer:
x=m+3b
Step-by-step explanation:
Hi there!
Our goal to make x the subject of the formula is to isolate x on one side and have everything else on the other side
here's the given formula:
m=x-3b
-3b is on the same side as x, which we don't want
add 3b to both sides (-3b+3b=0)
m=x-3b
+3b +3b
________
m+3b=x
since x is now the subject of the formula, we're done
Hope this helps!
Which angle measures 180
Answer:
D
Step-by-step explanation:
An angle that measures 180 degrees resembles a straight line.
A is greater than 90 degrees but less than 180 degrees.
B is less than 90 degrees.
C is equal to 90 degrees.
D is equal to 180 degrees.
Vincent needs 20 inches of wood to makeOne shelf. How many feet of wood does Vincent need to make 6 shelves
Answer:
10 feet
Step-by-step explanation:
Multiply 20 by 6 which will give the answer 120 (in inches). Then convert 120(inches) to feet by dividing with 12.The answer will be 10(feet) needed for six shelves.20x6= 120
120/12=10
=10 ft
which rectangular prism has a volume equal to the expression 6 x 3 x 4?
Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on a typical weekend. The data is below:
Females (Population 1): 5, 5, 6, 6, 6, 3, 4, 6, 6, 6
Males (Population 2): 7, 3, 4, 7, 4, 7, 3, 3, 7, 4
Give a 93% confidence interval for the difference between mean female and male drink consumption. (Assume that the population variances are equal.)
Answer:
Confidence Interval =-0.76,+1.56
Step-by-step explanation:
The confidence interval can be determined by
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
z∝/2 for 93% is 1.81
The mean and the standard deviations can be calculated using the calculator.
The mean x1`= ∑x/ n= 5+ 5+ 6+ 6+ 6+ 3+ 4+ 6+ 6+ 6
= 53/10= 5.3
Standard deviation = s1`= 1.0049= 1.005
The mean x2`= ∑x/ n= 7+ 3+ 4 +7+ 4+ 7+ 3+ 3+ 7+ 4/10
= 49/10= 4.9
Standard Deviation = s2= 1.75783= 1.76
Putting the values
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
(5.3-4.9 ) ± 1.81 √1.005²/10 +1.76²/10
0.4 ± 1.81 √ 1.010025/10 + 3.0976/10
-0.76,+1.56
The confidence interval for 93% two tailed test is [-0.76,+1.56]
What are the coordinates of the turning point of the parabola whose equation is y=-x^2+4x+1
PLEASEEE ANSWERRRRRR
Answer:
The maximum of the parabola lands at (2,5).
The coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The equation of Parabola is y=-x²+4x+1
The turning point (vertex) is the point where the derivative is equal to zero.
y=-x²+4x+1
Differentiate the equation
dy/dx=-2x+4
Now equate dy/dx with zero
dy/dx=0
-2x+4=0
-2x=-4
x=2
Now put x value in the equation
y=-(2)²+4(2)+1
y=-4+8+1
y=5
Hence the coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
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Help Please?! ?????????????
Answer:
Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.
Step-by-step explanation:
To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.
If x=5 and z=4 what does y= ?
What is a reasonable prediction? Please help! :(
Answer:
A estimated guess based off past information not some random number
Step-by-step explanation:
Example:
Make a reasonable prediction on if we will have school tomorrow. We are expecting a foot of snow.
Reasonable: We most likely won't because it will be cold and snowing. And it won't be safe.
Not Reasonable: We will because it will be sunny
A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of
the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)
No website plzzz
Answer: 9.82cm
Step-by-step explanation:
how do i write my algebra equations on my computer
At a sale this week, a suit is being sold for $296.40. This is a 62% discount from the original price. What was the original price?
Answer:
Rounded: $478.06
Step-by-step explanation:
Set up an equation:
Variable x = original price
62/100 = 296.40/x
Cross multiply
62 × x = 100 × 296.40
62x = 29,640
Divide both sides by 62:
x = 478.064516....
Round to nearest cent (hundredths place):
x = 478.06
Check your work (using the rounded estimate will be close to $296.40 but not exact because it is rounded; once you round your answer and it should match):
478.06 × 62%
Convert the percentage into a decimal:
478.06 × 0.62
296.3972
Round to the nearest cent (hundredths place):
296.40
−8x+4y=24
−7x+7y=28
x=?
y=?
Answer:
x = -2y = 2Step-by-step explanation:
You want the solution to the system of equations ...
-8x +4y = 24-7x +7y = 28SolutionWe notice that each of these equations has a leading minus sign, and has coefficients that have a common factor. We can multiply by -1 to make the leading coefficient positive, and we can divide by the common factor. Doing this puts the equations in standard form:
2x -y = -6
x -y = -4
Subtracting the second equation from the first gives ...
(2x -y) -(x -y) = (-6) -(-4)
x = -2
Rearranging the second equation to find y, we have ...
y = x +4
y = -2 +4 = 2
The solution is (x, y) = (-2, 2).
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Help pleaseeeeeeeeeeee
A rectangle has a area of 30 square units and a width of 6. Find its length
Answer:
Step-by-step explanation:
If the overall area of the square is 30 units with a width of 6 units, all you need to do is divide 30 by 6. Or, if you add 6 till you get 30, which is much simpler.
If we start from six and count up till we get to/close to 30 without passing the number, we can do this.
6, 12, 18, 24, 30
Right on the dot of thirty! How lucky! Now we notice that while counting up, there were 5 variables (Don't know if I'm using this word correctly :\) of thirty in total. Then, if you want to double check, multiply 5 by 6 to get thirty and show proof that your answer is correct!
Good job! You survived the maths!
Anyways, here's the answer: The missing length of the 30 unit square is 5.
Answer:
5 is its length, divide the given length to the total area to get your missing length
Whenever given an area and a length or a width either ONE of those, you always divide the given length. Why? Because the number you get from dividing will make sense! That number you got from dividing times the give length will equal your area! Which is why you divide your given length to your total area.
A car manufacturing plant assembles 26 cars with 7 having bad brakes. A random inspection reviews 4 cars' brakes. What is the probability that all the cars chosen have good brakes
Answer:
p = 0.259264214
Step-by-step explanation:
26 - 7 = 19 with good brakes
Probability of picking 4 with good brakes
p = 19/26 * 18/25 * 17/24 * 16/23
p = 0.259264214
The probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To calculate the probability that all the randomly chosen cars have good brakes, we need to consider the number of cars with good brakes and the total number of cars.
Total number of cars assembled: 26
Number of cars with bad brakes: 7
To calculate the probability, we can use the concept of combinations.
The number of ways to select 4 cars out of the remaining 26-7 = 19 cars with good brakes is given by the combination formula:
C(n, r) = n! / (r! * (n-r)!)
where n is the total number of cars with good brakes and r is the number of cars to be randomly selected.
In this case, n = 19 and r = 4.
The total number of ways to select 4 cars from the total pool of 26 cars is given by the combination formula:
C(26, 4) = 26! / (4! * (26-4)!)
Now, we calculate the probability that all the randomly chosen cars have good brakes:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Number of favorable outcomes = C(19, 4)
Number of total outcomes = C(26, 4)
Probability = C(19, 4) / C(26, 4)
Using a calculator, we can compute these combinations and evaluate the probability:
Probability ≈ 0.169
Therefore, the probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
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Find out six rational numbers lying between -4/8 and -3/4
Answer:
-41/80, -45/80, -48/80, -51/80, -55/80, -59/80
Step-by-step explanation:
-4/8, -3/4 = -4/8, -6/8
= -40/80, -60/80
∴ Rational numbers between -40/80 and -60/80 = -41/80, -45/80, -48/80, -51/80, -55/80, -59/80.