Answer:
6:40pm
Step-by-step explanation:
60-41 = 19
46-19=27 ---> finished playing basketball at 3:27pm
60-27=33
54-33=21 ----> finished swimming at 5:21pm
21+19=40 ----> finished dinner at 6:40pm
Answer:
6:40
Step-by-step explanation:
You need to add the minutes each time separately, starting at the result of the last addition problem.
The difference between the record high and low temperaturs in Charlotte, North Carolina, is 109°F. The record low temperature was -5°F. Write and solve an equation to find the record high temperature.
Answer: 104 degrees farenheit
Step-by-step explanation: H = record high temperature. -5 + 109 = H. -5+109 = 109 + (-5) = 109-5 = 104. H = 104.
Answer:
104
Step-by-step explanation:
Let x = record high and y = record low temperature in Charlotte. The difference between the records high and low, x and y, is 109 degrees Fahrenheit, so x - y = 109. Record low is -5, so x - (-5) = 109.
x + 5 = 109
x = 104
pls help, it is due now. Thank You so much to whoever helps!
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
Point P(−5, 2) is translated using the rule (x+3, y−1).
What is the x-coordinate of P′ ?
Answer:
(-2,1)
Step-by-step explanation:
P' = (-5+3,2-1)
P' = (-2,1)
suppose that a random sample of size 36 is to be selected from a population with mean 44 and standard deviation 8. what is the approximate probability that x will be more than .5 away from the population mean?
There is a 75.40% chance that the sample mean X will be more than 0.5 away from the population mean μ.
Let X be the random variable representing the sample mean of a random sample of size 36 selected from a population with mean μ=44 and standard deviation σ=8.
The Central Limit Theorem (CLT) states that, under certain conditions, the distribution of the sample mean X can be approximated by a normal distribution with mean μ and standard deviation σ/√(n), where n is the sample size. Since the sample size is 36, we can use this approximation.
The probability that X is more than 0.5 away from the population mean can be calculated as follows:
P(|X-μ| > 0.5) = P((X-μ)/ (σ/√(n)) > (0.5) / (σ/√(n))) + P((X-μ)/ (σ/√(n)) < (-0.5) / (σ/√(n)))
Using the standard normal distribution table, we can find the corresponding probabilities for each term on the right-hand side of the equation. We have:
P(Z > 0.3125) + P(Z < -0.3125)
where Z is a standard normal random variable with mean 0 and standard deviation 1.
Using the standard normal distribution table, we can find that P(Z > 0.3125) = 0.3770 and P(Z < -0.3125) = 0.3770.
Therefore, the approximate probability that X will be more than 0.5 away from the population mean is:
P(|X-μ| > 0.5) = 0.3770 + 0.3770 = 0.7540
In terms of percentage, we can rewrite it as,
P(|X-μ| > 0.5) = 0.7540*100 = 75.40%
To learn more about probability click on,
https://brainly.com/question/15022620
#SPJ4
Question 9 1 pts Bottles of cream have a normal distribution with mean 8 ounces. You would stop the process if the containers were being filled incorrectly. What is your alternative hypothesis? a.Ha: u not equal to 8 b.Ha: u > 8 c.Ha: u<8
d. None of the other answers is correct.
The correct alternative hypothesis in this case would be Ha: u not equal to 8, option a. This is because the null hypothesis in this scenario would be that the mean of the bottles of cream being filled is equal to 8 ounces.
The alternative hypothesis, on the other hand, is what we believe to be true if the null hypothesis is proven to be false. In this case, if we were to find evidence that the mean is not equal to 8 ounces, it would lead us to reject the null hypothesis and accept the alternative hypothesis that the mean is in fact different from 8 ounces. Therefore, the alternative hypothesis must be Ha: u not equal to 8, as we are not specifying a direction in which the mean could be different from 8 ounces.Know more about the alternative hypothesis
https://brainly.com/question/25263462
#SPJ11
Answer: c
Step-by-step explanation: i took the test and got it right sorry if it is wrong hope it helps
An entertainment firm offer several DJ choices in light shows that range in price based off the rental time. The DJs cost between $219 and $369 per night and a light show cost between $159 and $309 per night if you were booking both a DJ and a light show write a compound inequality that represents impossible Total amount you would pay ,X
The compound inequality that represents the impossible total amount we would pay is: X < 378 or X > 678
Let's represent the cost of a DJ as "D" and the cost of a light show as "L".
According to the information provided, the cost of a DJ ranges from 219 to 369 per night, so we can write the
inequality:
219 ≤ D ≤ 369
Similarly, the cost of a light show ranges from 159 to 309 per night, so we can write the inequality:
159 ≤ L ≤ 309
If we were booking both a DJ and a light show, then the total amount we would pay would be the sum of their costs:
Total amount = D + L
To find the impossible total amount we would pay, we need to find the range of possible values for the sum of D and L.
The minimum possible total cost would be when we choose the cheapest DJ and the cheapest light show:
Total amount ≥ 219 + 159 = 378
The maximum possible total cost would be when we choose the most expensive DJ and the most expensive light show:
Total amount ≤ 369 + 309 = 678
Therefore, the compound inequality that represents the impossible total amount we would pay is:
X < 378 or X > 678
for such more question on inequality
https://brainly.com/question/17448505
#SPJ11
A cylinder has a height of 6 millimeters and a radius of 12 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
Volume of cylinder = 2712.96 mm³
Step-by-step explanation:
Radius (r) = 12 mm
Height (h) = 6 mm
π = 3.14
Volume of cylinder = πr²h
= 3.14 × (12)² × (6)
= 2712.96 mm³
Hope it helps ⚜
Can you guys help i’m kinda struggling
Answer:
The answer is 20.
Step-by-step explanation:
The side that equals 4 is conguent to the line QR, the side that equals 6 is congruent to the line NP. Add the whole line up then it would equal 20.
Let f(x) = 6 In(sec(x) + tan(x))
f"'(x) =
f'(x) = 6 * (1/(sec(x) + tan(x))) * (sec(x)tan(x) + sec^2(x)).
f(x) = 6 ln(sec(x) + tan(x))
f'(x) = 6 * (1 / (sec(x) + tan(x))) * (sec(x) * tan(x) + sec^2(x))
f"(x) = 6 * [-(sec(x)*tan(x) + sec^2(x))^2 + (sec(x)*tan(x) + sec^2(x)) * (2*sec^2(x))] / (sec(x) + tan(x))^2
Now, to find the third derivative, we differentiate f"(x) with respect to x.
f"'(x) = [12*sec^4(x) - 6*sec^2(x)*tan^2(x) - 12*sec^2(x)*tan^2(x) + 6*tan^4(x)] / (sec(x) + tan(x))^3
Simplifying this expression, we get:
f"'(x) = [12*sec^4(x) - 18*sec^2(x)*tan^2(x) + 6*tan^4(x)] / (sec(x) + tan(x))^3
Therefore, f"'(x) = [12*sec^4(x) - 18*sec^2(x)*tan^2(x) + 6*tan^4(x)] / (sec(x) + tan(x))^3.
Let f(x) = 6 ln(sec(x) + tan(x)). To find f'(x), we'll first use the chain rule:
f'(x) = 6 * (1/(sec(x) + tan(x))) * (sec(x) + tan(x))'.
Now, we'll find the derivatives of sec(x) and tan(x):
(sec(x))' = sec(x)tan(x) and (tan(x))' = sec^2(x).
So, (sec(x) + tan(x))' = sec(x)tan(x) + sec^2(x).
Now, substitute this back into our expression for f'(x):
f'(x) = 6 * (1/(sec(x) + tan(x))) * (sec(x)tan(x) + sec^2(x)).
Learn more about derivatives at: brainly.com/question/30365299
#SPJ11
What is the solution to this system of equations? 5x + 2y= 29
x + 4y = 13
A x = 5, y = 3
B. x=2, y=5
C. X= 5, y = 2
D. x= 3, y = 2
Answer:
C
Step-by-step explanation:
Given the 2 equations
5x + 2y = 29 → (1)
x + 4y = 13 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 10x - 4y = - 58 → (3)
Add (2) and (3) term by term to eliminate y
- 9x + 0 = - 45
- 9x = - 45 ( divide both sides by - 9 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
5 + 4y = 13 ( subtract 5 from both sides )
4y = 8 ( divide both sides by 4 )
y = 2
Solution is x = 5, y = 2 → C
Answer:
c) x = 5, y = 2
Step-by-step explanation:
Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Step-by-step explanation:
researchers can use the chi-square test to determine whether responses observed in a survey follow the expected pattern.
Researchers can use the chi-square test to determine whether responses observed in a survey follow the expected pattern is true.
The chi-square test is a statistical test that is commonly used to analyze categorical data and determine if there is a significant association or difference between observed and expected frequencies. It is particularly useful when analyzing data from surveys or experiments where responses are categorized into different groups.
The chi-square test evaluates the null hypothesis that there is no significant difference between the observed frequencies and the expected frequencies. By comparing the observed data to the expected data, the test calculates a chi-square statistic.
If the chi-square statistic is sufficiently large and exceeds a critical value at a given significance level, the null hypothesis is rejected, indicating that there is a significant deviation from the expected pattern.
Therefore, researchers can utilize the chi-square test to assess whether responses in a survey follow the expected pattern or if there are significant differences between the observed and expected frequencies. This test helps researchers draw conclusions about the relationship between variables and identify any patterns or associations within the survey data.
Learn more about chi-square test here:
https://brainly.com/question/30760432
#SPJ11
The complete question is:
Researchers can use the chi-square test to determine whether responses observed in a survey follow the expected pattern. State true or false.
-8/5 divided by 5/-6 PLS HURRY!!!
Answer: 48/25
Step-by-step explanation:
Answer:
48/25 as an improper fraction, 1 23/25 as a mixed fraction.
Step-by-step explanation:
It is -8/5 divided by 5/-6.
First of all, you can get rid of the negative signs becasue there are two. Negative and Negative equals positive, so we already know that the answer will be positive.
So, we now have 8/5 divided by 5/6.
When you divide fractions, the fraction being divided is turned to it's reciprocal. To get a fraction's reciprocal, just flip the numerator and denominator's places. It's that easy!
Here is an example: 2/3's reciprocal is 3/2. The numbers just get flipped!
That would mean 5/6's reciprocal would be 6/5. Don't find the reciprocal of 8/5 because it is not the number that is getting divided. When you find a reciprocal you can change the division sign into a multiplying sign.
Example: 2/3 divided by 4/5. Reciprocal of 4/5 is 5/4. Now it is 2/3 TIMES 5/4.
Back to the problem.
We now have 8/5 TIMES 6/5. When you multiply fractions, just multiply both numerators, in this case being 8 and 6, and the denominators, in this case being 5 and 5. So 8 times 6 is 48. 5 times 5 is 25.
We now have 48/25, which can be reduced to 1 23/25!
For the mixed number, if you are confused, 25 goes into 48 only one time. So, the whole number is 1. but when 25 goes into 48 only one time, there is still 23 left because 48-25= 23. 23 is our new numerator! The denominator stays the same. So, it's 1 23/25. :)
1. Find the measure of side QM.
What are the rational roots of 2r^3 - 2r^2 + r + 8
a. 0,±1/2, ±1, ±2, ±4, ±8
b. 1/2, 1, 2, 4, 8
c. -1/2, -1, -2, -4, -8
d. ±1/2,±1,±2,±4,±8
Step-by-step explanation:
D= answer to your problem
Callie has 3,264 beads. She wants to divide the beads evenly to make 32 necklaces. How many beads will be
used for each necklace?
Answer:
102 beads will be used for each necklace.
Step-by-step explanation:
3,264/32=102
ABCD and PQRS are rectangles. O is the centre of both rectangles. AC is a straight line passing through P, Q and R. BD is a straight line passing through Q, R and S. PQ=8cm and QR=2cm. The perimeter of rectangle ABCD is 60cm. Work out the length of AB and the length of BC.
Answer: See below
Step-by-step explanation:
ΔPQR ≈ ΔABC because PR & AC are same line
So PQ ║ AB & QR ║ BC
In equation form: PQ / AB = QR / BC
8/AB = 2/BC
AB = 4BC
Perimeter of ABCD rectangle = 2(AB + BC)
= 2(4BC + BC)
= 10BC
Perimeter of the rectangle = 60 cm
In equation form: 10BC = 60
BC = 6 cm
AB = 4BC = 24 cm
Length of AB = 24 cm & length of BC = 6 cm
a container of milk contains 8 cups of milk. if paul sets aside $1\frac{2}{5}$ cups of milk for use in a recipe and divides the rest evenly among his three children, how much milk should each child receive? express your answer as a mixed number.
Each child will receive the 1.1 cup of milk.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that a container of milk contains 8 cups of milk. if paul sets aside \(1\dfrac{2}{5}\) cups of milk for use in a recipe , then we get the leftover;
8 - \(1\frac{2}{5}\) = 8 - 7/5
= 40- 7/5
= 33/5
= 6.6
The the rest cups of milk = 6.6
Then the rest evenly among his three children 6.6/3 = 1.1
Hence, Each child will receive the 1.1 cup of milk.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ1
Y=5x
A proportional relationship
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Pls help. Can’t do this.
Step-by-step explanation:
The equation of line A:
y-1=0, 5x-3
y=0, 5x-2. Hence its gradient is 0,5
For line B, its you intercept is -8, so y=mx-8.
When x = -4, y=-4m -8 =0 as shown in the graph. This means that m = -2.
Since |-2| > |0, 5|, line B is steeper than line A.
Let Y1,Y2,…,Yn denote a random sample from a gamma distribution with parameters α and β. Suppose that α is known. (a) Find the MLE of β. (b) Find the MLE of E(Y).
Where the above are given,
(a) MLE of β: (nα + y₁ + y₂ + ... + yn)/n
(b) MLE of E(Y): (nα + y₁ + y₂ + ... + yn)/n
How is this so ?Maximum Likelihood Estimation (MLE) is a statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function based on observed data.
(a) The MLE of β can be found by maximizing the likelihood function. The likelihood function for a gamma distribution is given by -
L(β; y₁, y₂, ..., yn) = (1/β^nαΓ(α))ⁿ * exp(-( y₁ + y₂ + ... + yn)/β)
Taking the logarithm of the likelihood function (log-likelihood) to simplify the calculations -
log L(β; y₁, y₂, ..., yn) = n*log(1/β) + nα*log(β) - n*logΓ(α) - ( y₁ + y₂ + ... + yn)/β
To find the MLE of β, we differentiate the log-likelihood with respect to β, set it equal to zero, and solve for β -
d/dβ(log L(β; y₁, y₂, ..., yn)) = -n/β + nα/β² + ( y₁ + y₂ + ... + yn)/β² = 0
Simplifying the equation -
-n/β + nα/β^2 + ( y₁ + y₂ + ... + yn)/β² = 0
Multiplying through by β²
-nβ + nα + ( y₁ + y₂ + ... + yn) = 0
Rearranging whave
nβ = nα + ( y₁ + y₂ + ... + yn)
Finally, solving for β -
β = (nα + y₁ + y₂ + ... + yn)/n
Therefore, the MLE of β is (nα + y₁ + y₂ + ... + yn)/n.
(b) The MLE of E(Y), the expected value of Y, is simply the MLE of β.
So, the MLE of E(Y) is (nα + y₁ + y₂ + ... + yₙ)/n.
Learn more about MLE:
https://brainly.com/question/30513452
#SPJ4
please help me!!
Solve y = 4x + 12, using the x-values, 3, 5, and 8 Which of the following T-tables represents the ordered pairs?
Answer:
The answer is C
Step-by-step explanation:
y = 4x + 12
y = 4(3) + 12
y = 12 + 12
y=24
y = 4x + 12
y = 4(5) + 12
y=20+12
y=32
y = 4x + 12
y = 4(8) + 12
y=32+12
y=44
the correct option for the given Equation at the different values of x will be C.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given y = 4x + 12, using the x-values, 3, 5, and 8.
To find the value of y, at x = 3, 5, and 8
Thus,
For x = 3
y = 4 * 3 + 12
y = 24
For x = 5,
y = 4 * 5 + 12
y = 32
for x = 8
y = 4 * 8 + 12
y = 44
therefore, the correct option for the given Equation at the different values of x will be C.
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ6
So I'm in 6th-grade accelerated class learning 7th-grade math, and our subject is More Two-Step Equations. One of the questions is 8/11(n - 10) = 64. I have to find n, but what does n equal?
The value of n from 8/11(n - 10) = 64 is 98.
What is 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. LHS = RHS is a common mathematical formula.
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:
8/11(n - 10) = 64.
Now, to find n first multiply both side by 11/8
8/11 (n- 10) x 11/8 = 64 x 11/8
n- 10 = 88
Now, add 10 both side
n - 10 + 10 = 88 + 10
n = 98
Hence, the value of n is 98.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ1
the swinging pendulum use your model from exercise 35 to predict the period of a pendulum with length 80 centimeters. show your work.
The predicted period of the pendulum with a length of 80 centimeters is approximately 1.795 seconds.
To predict the period of a pendulum with a length of 80 centimeters, we can use the equation for the period of a simple pendulum:
T = 2π√(L/g)
Where:
T = Period of the pendulum
L = Length of the pendulum
g = Acceleration due to gravity
Using the given length L = 80 centimeters, we need to determine the value of g. The standard acceleration due to gravity is approximately 9.8 meters per second squared (m/s²).
Converting the length to meters:
L = 80 centimeters = 0.8 meters
Substituting the values into the formula:
T = 2π√(0.8/9.8)
T ≈ 2π√0.0816
T ≈ 2π(0.2856)
T ≈ 1.795 seconds
Know more about pendulum here;
https://brainly.com/question/31967853
#SPJ11
ANSWE NOW SYHSDDBsbshdhdhd
A prism mainly consists of:
two basesflat surfacesequal (uniform) cross-section(s).1. A cone can't be a prism, its sides can't curve.
2. A prism has two bases, but the pyramid only has one.
3. Is a prism, meets the requirements to be a prism. (Triangular Prism)
4. Is a prism, meets the requirements to be a prism. (Rectangular Prism)
5. A square does not meet any of the requirements to be a prism.
Note: A Square Prism (Cube) can be an answer, however, this square is flat.
Answers:
3) Triangular Prism.
4) Rectangular Prism.
5. Eunice is flying a kite with vertices at points A(0, 0), B(0, 4), C(7, 7), and D(4, 0). If each unit
represents one foot, what is the area of Eunice's kite?
The area of Eunice's kite is \(2\sqrt{58}\).
What is the kite?A kite is a tethered heavier-than-air or lighter-than-air craft with wing surfaces that react against the air to create lift and drag forces.
Eunice is flying a kite with vertices at points A(0, 0), B(0, 4), C(7, 7), and D(4, 0).
If the diagonals in a quadrilateral are perpendicular to each other then the area is one-half of the product of the diagonals.
All Kites and rhombi fall in this category.
By the distance formula;
\(\rm AB =\sqrt{(0-0)^2+(4-0)^2} =\sqrt{0+16} =\sqrt{16} =4\\\\BC =\sqrt{(7-0)^2+(7-4)^2} =\sqrt{49+9} =\sqrt{58} \\\\CD =\sqrt{(4-7)^2+(0-7)^2} =\sqrt{49+9} =\sqrt{58}\\\\AD =\sqrt{(0-0)^2+(4-0)^2} =\sqrt{0+16} =\sqrt{16} =4\\\)
The area of Eunice's kite is;
\(\rm Area = \dfrac{1}{2} \times AB \times BC\\\\Area =\dfrac{1}{2} \times 4 \times \sqrt{58} \\\\Area =2\sqrt{58}\)
Hence, the area of Eunice's kite is \(2\sqrt{58}\).
Learn more about kites here;
https://brainly.com/question/3507003
#SPJ1
find the area enclosed by the curve whose equation is given below: r=1−0.3sinθ
The area enclosed by the curve with the equation r = 1 - 0.3sin(θ) can be found by evaluating the integral of 0.5\((1 - 0.3sin(θ))^2\) with respect to θ over the range from 0 to 2π. The exact value of this integral may require numerical methods or approximations.
To determine the range of θ values, we need to examine the curve and identify the interval over which it encloses an area. From the equation r = 1 - 0.3sin(θ), we can see that the curve forms a closed loop. The value of θ varies from 0 to 2π to complete one full loop of the curve.
Using the formula for calculating the area in polar coordinates, the enclosed area can be obtained by integrating \(0.5r^2\)dθ over the range of θ values. In this case, we have:
Area = 0.5 ∫[0 to 2π] \((1 - 0.3sin(θ))^2\) dθ
Evaluating this integral will give us the area enclosed by the curve.
Learn more about polar coordinates here:
https://brainly.com/question/31904915
#SPJ11
8. During a car race, two competitors will stop to fill up the fuel tank. One does it every
4 laps, and the other every 5 laps. If they travel at the same speed, how many
laps will they meet again at the fuel station?
A 16
B. 20
C.25
D. 30
Answer:20
Step-by-step explanation:
because why not you know
Tom and Brad often play a video game. One day, they tracked the scores they each received for 10 rounds.
Based on these samples, what generalization can be made?
A.
Tom's median video game score is less than Brad's median video game score.
B.
Tom's mean video game score is equal to Brad's mean video game score.
C.
Tom's mean video game score is more than Brad's mean video game score.
D.
Tom's range of video game scores is less than Brad's range of video game scores.
Answer:
Tom's median video game score is less than Brad's median video game score.
The point (4, 5) is feasible for the constraint 2x₁ + 6x₂ ≤ 30. O True O False
Answer:
False
Step-by-step explanation:
\(2x_1+6x_2\leq 30\\2(4)+6(5)\stackrel{?}{\leq}30\\8+30\stackrel{?}{\leq}30\\38\nleq30\)
Therefore, (4,5) is not a feasible point for the constraint