Answer:
$132.42
Step-by-step explanation:
hope this helps
The Smiths both work and their total household income is £36,000 per annum.
Their annual bills work out at £16,000 per annum.
What percentage of their annual income goes on bills to 2 decimal places?
%
Answer:
44.44 %
Step-by-step explanation:
16 000 / 36 000 = .4444 = 44.44%
What is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
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The solution to an inequality is graphed on the number line. A number line going from negative 5 to positive 5. A solid circle appears between positive 4 and positive 5. The number line is shaded from the circle to negative 5. What is another way to represent this solution set? {x | x < 4. 5} {x | x ≤ 4. 5} {x | x > 4. 5} {x | x ≥ 4. 5}.
Another way to represent this solution set is to express it as a set notation, which is {x | x ≤ 4.5}. This notation represents all values of x that are less than or equal to 4.5.
What is inequality?Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.
To graph this set, a closed circle would be placed at the 4.5 mark on the number line, and the numbers to the left of the circle would be shaded. This would indicate that all of the numbers to the left of the 4.5 mark, including the 4.5 mark itself, are part of the solution set.
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Kendra painted 40% of a banner. Benicio painted an equal amount of the same banner. The rest of the banner remains unpainted. Which fraction describes the amount of banner that remains unpainted?
Answer:
1/5
Step-by-step explanation:
Since Kendra painted 40% of the banner and Benicio painted the same, it would equal 80. Since its asking you what is left it would be 20, when you convert 20 into a fraction you'll get 1/5
I hope this helped
Answer:
1/5
Step-by-step explanation:
1/5 is the answer
&"%;;'cgj
3(n+1)= 5.4 enter the answer in the box n=?
p
Line m has a y-intercept of cand a slope of 9, where p>0, q> 0, and p + q.
What is the slope of a line that is perpendicular to line m?
-q/p
P/q
q/p
-p/q
So slope of the line m is 9
We know perpendicular lines have slopes negative reciprocal to each other and their product of slopes is -1
9m2=-1m2=-1/9If slope of m is p/q then slope of perpendicular line is -q/p and vice versa
Answer:
\(-\dfrac{q}{p}\)
Step-by-step explanation:
Slope-intercept form of a Linear Equation:
\(y = mx + b\)
where:
m is the slopeb is the y-interceptIf line m has a y-intercept of c and a slope of p/q, then:
\(\textsf{Equation of line m}: \quad y = \dfrac{p}{q}x + c\)
If two lines are perpendicular to each other, the product of their slopes will be -1.
Let a = slope of the line perpendicular to line m.
\(\implies a \times \dfrac{p}{q}=-1\)
\(\implies a=-\dfrac{q}{p}\)
Therefore, the slope of the a line that is perpendicular to line m is:
\(-\dfrac{q}{p}\)
In a class of pupils, 13 play the flute and
piano.
12 play the flute only.
3 play the piano only.
7 play neither instrument.
How many pupils are in the class?
Answer:
35 Pupils
Step-by-step explanation:
You would add up each number: 13 + 12 + 3 + 7 = 35. I Hope This Helps :)
Answer:
45
Step-by-step explanation:
13 + 12 + 3 + 7
plzzzzz hurry. quick
Answer:
A. 7
Step-by-step explanation:
It's just the coefficient of x
The value of log 3 5 × log 25 9 is
The value of \(log_35 \times log_{25}9\) is 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
\(log_35 \times log_{25}9\)
\(log_ab = \frac{logb}{loga}\)
So,
= log 5 / log 3 x log 9 / log 25
= log 5 / log 3 x log 3² / log 5²
\(logm^n = n~logm\)
So,
= log 5 / log 3 x log 3² / log 5²
= (log 5 / log 3) x (2 log 3 / 2 log 5)
= (log 5 / log 3) x (log 3 / log 5)
= 1
Thus,
1 is the value.
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Pls help with math !!!
Kevin's kick can be considered the best among the four.
To determine the most impressive kick, we can compare the distances and heights achieved by each player.
Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.
Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.
Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.
Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.
Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.
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help with worksheet commoncore.a.1
Select two ratios that are equivalent to 2:9
Choose 2 correct answers
Answer:
4:18 and 6:27
Step-by-step explanation:
VERY EASY 6TH GRADE MATH! BRAINLIEST PROMICED! ONLY 3 EASY QUESTIONS! PLS HELP :( I PUT ALL MY POINTS IN THIS! Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.
How much does he deposit in all during the first 3 weeks?
1. Write an exponential expression that represents Rick’s deposit in the second week. Explain how you identified the base and the exponent.
2. How much does Rick deposit in all in the first 3 weeks? Show your work.
3. Do you think Rick can keep up this savings plan for a year? To help you decide, use a calculator to find 315, the amount he would deposit in week 15.
Answer:
100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE TO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!
You measure the mass of an apple using a balance. You get these three measurements:
Trial 1: 167.0 g
Trial 2: 166.9 g
Trial 3: 167.2 g
You know that the true mass of the apple is 172 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.
Step-by-step explanation:
Triangle LMIN with vertices L(2, -8), M(12, 8),
and N(14,-4): * = ½
The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).
Here, scale factor k=1/2
Now, by applying scale factor to the vertices, we get
L(2, -8)→1/2 (2, -8)→L'(1, -4)
M(12, 8)→1/2 (12, 8)→M'(6, 4)
N(14,-4)→1/2 (14, -4)→N'(7, -2)
Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
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"Your question is incomplete, probably the complete question/missing part is:"
Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.
An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 01:28:16 Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step? On a coordinate plane, the point (0, 3) is graphed. On a coordinate plane, the point (0, 4) is graphed. On a coordinate plane, the point (3, 0) is graphed. On a coordinate plane, the point (4, 0) is graphed.
Answer:
A
Step-by-step explanation:
ITS A
Answer:
On a coordinate plane, the point (0, 3) is graphed. Also known As A .
Step-by-step explanation:
The answer is A ,I just did the test and got it correct .
please help answer questions 1 and 2!
Answer:
1:A
3:C
hope this help
What is the value of the expression below?
Answer:
(7÷2)-(4.5*3)+8
(3.5)-(13.5)+8
3.5-5.5=-2
please find the p-value
The statistical analysis of the data using a two-sample t-test indicates;
(a) B. Yes, the Meters On data appears to have higher speeds
A. No, there does not appear to be any outlier
(b) H₀; \(\mu_{on}\) = \(\mu_{off}\)
H₁; \(\mu_{on}\) > \(\mu_{off}\)
The P-value for the test is about 0.037
What is a two-sample t-test?A two-sample t-test is used to determine if there is a difference between the means of two independent groups of data.
(a) The average of the data values are;
Ramp meters on;
\(\mu_{on}\) = (29+47+55+38+32+25+42+47+51+36+55+41+43+25+47)/15 ≈ 40.87
\(\mu_{off}\) = (25+25+43+35+36+31+48+37+19+29+22+40+36+50+40)/15 ≈ 34.4
The higher average value for the speed with the Ramp meters on indicates;
B. Yes, the Meters On data appears to have higher speeds
The five number summary are;
Ramp Meters On
Min = 25, Max = 55, Q₁ = 32, Q₂ = 42, Q₃ = 47
IQR = 47 - 32 = 15
Outlier = 47 + 1.5 × 15 = 69.5
32 - 1.5 × 15 = 9.5
Therefore, there are no outliers for the Ramp Meters On
Ramp Meters Off
Min = 19, Max = 50, Q₁ = 25, Q₂ = 36, Q₃ = 40
IQR = 40 - 25 = 15
Outlier = 40 + 1.5 × 15 = 62.5
25 - 1.5 × 15 = 2.5
Therefore, there are no outliers for the Ramp Meters Off data
(b) The null hypothesis is; H₀; \(\mu_{on}\) = \(\mu_{off}\)
The alternative hypothesis is; H₁; \(\mu_{on}\) > \(\mu_{off}\)
(c) The two sample t-test, can be obtained using the formula;
\(t_{cal} = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} ) } }\)
Where; \(\bar{x}_1\) = 40.87
\(\bar{x}_2\) = 34.40
s₁ = 9.91
s₂ = 9.20
n₁ = n₂ = 15
Therefore; \(t_{cal}\) = 1.8516. The degrees of 15 + 15 - 2 = 28, and the one-tailed hypothesis, indicates, using an online tool;
The p-value = 0.037328The p-value is less than 0.05, therefore, the result is significant.
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Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)
Answer:
SSS Theorem
\(x = 35.7\)
Step-by-step explanation:
Given
The attached triangle
Solving (a) The similarity theorem
The given sides of the triangle are similar.
In other words, they are similar by sides.
Hence, the theorem is: SSS
Solving (b): Find x
To find x, we make use of the following equivalent ratios.
\(\frac{14}{25} = \frac{14+6}{x}\)
This gives:
\(\frac{14}{25} = \frac{20}{x}\)
Cross multiply
\(14 * x = 20 * 25\)
\(14 * x = 500\)
Solve for x
\(x = \frac{500}{14}\)
\(x = 35.7\) -- approximated
the objective function of linear programming model should be
The objective function of a linear programming model should be to maximize or minimize the numerical value.
What is the objective function?The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.
The objective function is always stated as z = ax + by.
The numerical value may be the:
Cost of a projectProduction quantityProfit valueMaterials savings.Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.
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Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
A flag is 47 inches long and 33 inches tall. What is its perimeter?
Answer:
160 inches
Step-by-step explanation:
47+33+47+33=160inches
A line is an undefined term because it
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Step-by-step explanation:
I hope it will help you
Carmen has 4 baby bunnies. Each bunny weighs 1/5 of a pound. How much do the bunnies weigh all together?
Step-by-step explanation:
The answer is 0.8 as a fraction is 4/5
Please help me I don’t k ow how to do it
triangle UTV similar with triangle YZX
Step-by-step explanation:
that mean UT/YZ = TV/ZX = UV/YX is the answer
What is the constant of proportionality in the equation y=5/4x
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curve. Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct.
a. 10.6%
b. 89.4%
c. 39.4%
d. 78.8%
e. 68.27%
___ The percentage of people with blood pressure between 115 and 165 mm.
___ The percentage of people with blood pressure between 140 and 165 mm.
___ The percentage of people with blood pressure over 165 mm.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Assum a normal distribution :
Mean (m) = 140 mm
Standard deviation (sd) = 20 mm
The percentage of people with blood pressure between 115 and 165 mm.
Zscore = (x - m) / sd
X = 115 mm
(115 - 140) / 20
-25/20 = - 0.625 = - 0.63
P(z<-0.63) = 0.2643
X = 165 mm
(165 - 140) / 20
25/20 = 0.625 = 0.63
P(z< 0.63) = 0.7357
0.7357 - 0.2643 = 0.4714 = 47.14%
B.) The percentage of people with blood pressure between 140 and 165 mm.
Zscore = (x - m) / sd
X = 140 mm
(140 - 140) / 20
0/20 = 0 = 0
P(z<0) = 0.5000
X = 165 mm
(165 - 140) / 20
25/20 = 0.625 = 0.63
P(z< 0.63) = 0.7357
0.7357 - 0.5000 = 0.2357 = 23.57%
C.) ___ The percentage of people with blood pressure over 165 mm.
X = 165mm
(165 - 140) / 20
25/20 = 0.625 = 0.63
1 - P(z< 0.63) = 0.7357
1 - 0.7357 = 0.2643 * 100% = 26.43%
In ΔQRS, r = 89 inches, s = 32 inches and ∠Q=116°. Find ∠R, to the nearest degree.
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
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