Answer:
a.
Step-by-step explanation:
His total earning including tips of 210.50 dollars is a.) $530.50
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, John waits on tables and is paid $8.00 an hour. In a 40-hour period,
∴ His earning in those 40 hours is,
= (40×8) dollars.
= 320 dollars.
He also earned 210.50 dollars in tips.
∴ His total earnings is,
= (320 + 210.50) dollars.
= 530.50 dollars.
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Which statement below is true about TB incidence in 2019? The Texas TB incident rate is above the national target The Texas TB incident rate is below the national average The Texas TB incident rate is roughly equal to the 2025 national target TB incidence was not collected for the year 2019
According to TB incidence data from 2019, the true statement about TB incidence in that year is that "The Texas TB incident rate is above the national target."
TB incidence in 2019 refers to the statistical measure of the occurrence of tuberculosis disease within a specific region or population during that year. It provides valuable insights into the number of individuals infected by TB bacteria and the reported cases of the disease within the same timeframe. In this context, the available data indicates that the TB incident rate in Texas surpasses the national target. This suggests that the incidence of tuberculosis cases in Texas exceeded the desired level set as a goal at the national level.
It's important to note that without further details, such as the specific national target or the actual incidence rates, we cannot provide precise figures or make comparisons to other options. However, based on the given statement, we can conclude that the TB incident rate in Texas in 2019 was higher than the intended national target.
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Alexandra bought a $315,000.00 house, paying 10% down, and financing the rest at 6% interest for 20
years.
A. What is the monthly payment?
Alexandra has a payment of
a month.
B. How much interest will be paid over the life of the loan?
Alexandra will pay
in interest over the life of the loan.
Answer:
A. payment: $2031.08
B. interest: $203,959.20
Step-by-step explanation:
There are many financial calculators, apps, and spreadsheets that will solve this for you. Here, we will use the amortization formula that would be implemented by one of those.
A.The monthly payment is given by ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . loan of P at rate r for t years
If 10% is put down on the house, then amount that needs to be financed will be ...
$315,000 × (1 -10%) = 0.90 × $315,000 = $283,500
For interest rate 6% and a period of 20 years, the monthly payment is ...
A = $283,500(0.06/12)/(1 -(1 +0.06/12)^(-12·20))
A = $283,500(0.005)(1 -(1.005^-240)) ≈ $2,031.08
__
B.The interest is the difference between the amount repaid and the original loan value:
interest = 240 × $2031.08 - 283,500 = $487,459.20 -283,500
interest = $203,959.20
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
Simplify. Express your answer as a single term using exponents.
960*5x960*9
\( {960}^{5} \times {960}^{9} \\ = {960}^{5 + 9} \\ = {960}^{14} \)
Answer:
\( {960}^{14} \)
Hope you could get an idea from here.
Doubt clarification - use comment section.
You've got three circles in line with eachother. Radius = 4cm
Calculate the shaded area and give answer in pi.
The shaded area of the circles that are given will be 32π.
How to calculate area?It should be noted that the area of a circle is calculated by using:
= πr²
where r = 4
In this case, we have two shaded circles. The area will be:
= 2(πr²)
= 2(π × 4²)
= 2(16π)
= 32π
In conclusion, the area is 32π.
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5. Maxine graphs the function m(x) which has a vertex of (-3, 4) and passes through the point (-1,-8). Write and equation for m(x) in vertex form.
The equation for the function m(x) in vertex form is:
m(x) = -3(x + 3)^2 + 4
Writing the equation for the function in vertex formFrom the question, we are to write an equation for m(x) in vertex form
The vertex form of a quadratic function is given by:
y = a(x - h)^2 + k
where (h, k) represents the vertex of the parabola.
We are given that the vertex of the function m(x) is (-3, 4). So, we have:
h = -3
k = 4
We are also given that the function passes through the point (-1, -8). We can use this information to solve for the coefficient a.
-8 = a(-1 - (-3))^2 + 4
-8 = a(2)^2 + 4
-8 = 4a + 4
4a = -12
a = -3
Hence, the equation in vertex form is:
m(x) = -3(x + 3)^2 + 4
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Nancy makes green bracelets, g, and red bracelets, r. She sells each green bracelet for $5 and each red bracelet for $3. Which expression represents the total amount of money Nancy makes selling bracelets?
Answer:
........
Step-by-step explanation:
What is the Median? Data set A) 12, 14, 16, 23, 31, 45
Answer:
19.5 is the median
Step-by-step explanation:
count the amount of numbers presented and we have 6, the next decision differs on whether or not the amount is an even amount or odd, in this case it is an even number. So divide your amount by 2 and we have 3. Then count your first 3 numbers and on the third number you will need to find the average between the third and fourth number, so that would mean finding the number that is in the middle of these two numbers and we have 19.5.
How can I find the dimensions that equal 36?
Answer:
The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18
Explanation:
Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36
=> W = 18 - L
How do I solve this equation?
Answer:
x=4,-3
step-by-step
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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A line plot could be used as a data display for the distribution of test scores in math class. true or false
A line plot can be used as a data display for the distribution of test scores in math class. Thus, the option to choose is TRUE.
A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.
The test score in the math test will be discrete data with repeating frequencies. The score of every individual will moreover be a whole number.
The line plot, as we know, marks the dots across the number line, indicating frequency.
Thus, the scores in the math test can be displayed using a line plot, by indicating each type of mark on the line, and dots above those marks for the number of times the same marks occur.
Thus, the option to choose is true.
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Answer the 3 questions plzzz ASAP
Answer:
x = 20, #8 is 59, #9 is 41
Step-by-step explanation:
What is the coefficient and the exponent in the term 5t^3?
Complete the statement. Round the nearest hundredth if necessary.
6.5L=. Gal
Answer:1.72Gal
Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72
in a circle, an angle measuring 9.7 radians intercepts an arc of length 11.8. find the radius of the circle to the nearest 10th.
The radius οf the circle is apprοximately 1.2 units.
What is a circle?A circle is a twο-dimensiοnal shape that is defined as the set οf all pοints in a plane that are equidistant frοm a fixed pοint called the center. The distance frοm the centre tο any pοint οn the circle is called the radius, and the distance acrοss the circle passing thrοugh the center is called the diameter.
The circumference οf a circle is the distance arοund its οuter edge, and it is equal tο the prοduct οf the diameter and pi (π), a mathematical cοnstant apprοximately equal tο 3.14159. Circles have many prοperties that make them useful in geοmetry and οther areas οf mathematics.
In this prοblem, we are given the angle and the length οf the intercepted arc. Let's call the radius οf the circle "r". Then we can write:
11.8 = r * 9.7
Tο sοlve fοr "r", we can divide bοth sides by 9.7:
r = 11.8 / 9.7
r ≈ 1.2165
Rοunding tο the nearest tenth, we get:
r ≈ 1.2
Therefοre, the radius οf the circle is apprοximately 1.2 units.
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a measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is
The correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)
The measure of the variability of the sample means, also known as the standard error of the mean, can be calculated using the formula:
Standard Error of the Mean (SE) = σ / √(n)
sigma is the population standard deviation,
n is the sample size.
The standard error of the mean represents the variability or dispersion of the sample means obtained from repeated samples of size n from a population. It indicates how much the sample means are likely to differ from the true population mean.
The smaller the standard error of the mean, the less variability is expected among the sample means, indicating a more precise estimate of the population mean.
Therefore, the correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)
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Given question is incomplete, the complete question is below
A measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is
a. s
b. σ/√(n)
c. s/√(n)
d. σ
If there are 48 boys and 16 girls in a room, fill out all possible ratios of boys to girls that would be made.
Answer:
64 and there is an appcalled photo math give u the answer
Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135
I think the answer is B.....
4 rational numbers between 4/9 and 7/11
Answer:
239/495, 86/165, 277/495, and 296/495
which of the following will increase the power of a statistical test? a. none of the other options will increase power b. change the variability of the scores from 20 to 100 c. change the sample size from n
Change the sample size from n will increase the power of a statistical test. The correct answer is C.
Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.
This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.
The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.
Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.
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a fence 8 feet tall runs parallel to a tall building at a distance of 4 feet from the building. what is the length (in feet) of the shortest ladder that will reach from the ground over the fence to the wall of the building? (round your answer to two decimal places.)
The shortest ladder that will reach from the ground over the 8-foot tall fence to the wall of the building is 8.94 feet in length.
To find the length of the shortest ladder that will reach from the ground over the 8-foot tall fence to the wall of the building that is 4 feet away, we can use the Pythagorean theorem.
Step 1: Draw a right triangle where the vertical leg represents the height of the fence (8 feet) and the horizontal leg represents the distance between the fence and the building (4 feet). The hypotenuse of this triangle will represent the length of the ladder.
Step 2: Apply the Pythagorean theorem: a² + b² = c², where a and b are the legs of the right triangle and c is the hypotenuse (the ladder length).
Step 3: Plug in the values for a and b: (8 feet)² + (4 feet)² = c².
Step 4: Calculate the square of each leg: 64 + 16 = c².
Step 5: Add the results: 80 = c².
Step 6: Take the square root of both sides to find c: √80 = c.
Step 7: Round the answer to two decimal places: c ≈ 8.94 feet.
So, the shortest ladder that will reach from the ground over the 8-foot tall fence to the wall of the building is approximately 8.94 feet in length.
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Please help will mark the Brainlyst
Answer:
don't u just add the side lengths and then get the answer?
what is the value of x?
What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 76.4 ∘
F with a standard deviation 7.3 ∘
F. What can you determine about these data by using Chebyshev's Inequality with K=3 ? At least % of the days had temperatures between "F and
By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.
Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.
The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.
In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.
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Point a has coordinate a(3, 2). the point is rotated 180° clockwise about the origin. what is the x-coordinate of point a’? ( enter one corrdinate point only )
To rotate a point 180° clockwise about the origin, we essentially need to flip the point across the x-axis and then across the y-axis. So the x-coordinate of point A' is -3.
This means that the x-coordinate of the point will become its opposite (negation) and the y-coordinate of the point will also become its opposite.
So, in this problem, we have the point A with coordinates (3, 2). To rotate this point 180° clockwise about the origin, we will negate both the x and y coordinates of the point:
The negation of 3 is -3, so the new x-coordinate of the point will be -3.
The negation of 2 is -2, so the new y-coordinate of the point will be -2.
Putting these together, we get the new coordinate of the point A' as (-3, -2).
So the x-coordinate of point A' is -3.
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22. Find the measure of the indicated angle to the nearest degree.
Answer:
A
Step-by-step explanation:
using the cosine ratio in the right triangle
cos? = \(\frac{adjacent}{hypotenuse}\) = \(\frac{17}{27}\) , then
? = \(cos^{-1}\) ( \(\frac{17}{27}\) ) ≈ 51° ( to the nearest degree )
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8
a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________
Answer:
See belowStep-by-step explanation:
The x-intercepts are the points with y- coordinate of 0
(x - 3)(x + 8) = 0x - 3 = 0 or x + 8 = 0x = 3 or x = - 8a) x-intercepts are
3 and - 8b) midpoint of x-intercepts is
(3 - 8)/2 = - 5/2 = - 2.5c) The extheme value has x- coordinate of - 2.5 and y- coordinate
(-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25d) f(- 2.5) = - 30.25
Answer:
\(\sf a) \quad x = -8 \:\:and \:\:x = 3\)
\(\sf b) \quad \left(-\dfrac{5}{2},0\right)\)
\(\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)
\(\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)
Step-by-step explanation:
Part (a)
The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:
\(\implies f(x)=0\)
\(\implies (x-3)(x+8)=0\)
Therefore:
\((x-3)=0 \implies x=3\)
\((x+8)=0 \implies x=-8\)
Therefore, the x-intercepts are x = -8 and x = 3
Part (b)
\(\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)\)
\(\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)\)
Therefore, the midpoint of the x-intercepts is (-5/2, 0)
Part (c)
The extreme value is the vertex. The vertex is:
the minimum point if the parabola opens upwardsthe maximum point if the parabola open downwardsThe x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts. Therefore, the x-value of the extreme value is x = -5/2.
To find the y-coordinate, substitute this into the given equation:
\(\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}\)
Therefore, the extreme value is:
\(\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)
Part (d)
The function in vertex form is:
\(\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)
\(\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}\)
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find the area of the trapezoid to the nearest tenth
Answer:
2.7m
Step-by-step explanation:
1.0m
0.5m
+1.2m
2.7m - answer
Can you help me pls