Answer:
solution
Step-by-step explanation:
x=5
y=4
Find the product of (x-13)(x+3)
\((x - 13)(x + 3) \\ = x {}^{2} + 3x - 13x - 39 \\ = x {}^{2} - 10x - 39 \)
If a researcher decided to set their alpha level to 0.001 instead of 0.05, they would be MORE likely to reject the null hypothesis
True or false
Solve the triangles with the given parts. 25) d = 5.60, € = 9.96, F = 109.1° Round to 4 decimal places as you work, then round your final answer to 1 decimal place.
We are given the following triangle:
We will determine the sides and angles of the triangle.
To determine the value o side f we will use the cosine law, which is the following:
\(f^2=e^2+d^2-2(e)(d)cosF\)Now, we plug in the values:
\(f^2=(9.96)^2+(5.6)^2-2(9.96)(5.6)cos(109.1)\)Solving the operations:
\(f^2=203.7\)Now, we take the square root to both sides:
\(\begin{gathered} f=\sqrt{203.7} \\ f=14.3 \end{gathered}\)Therefore, side "f" is 14.3.
Now, we will determine angle D using the sine law:
\(\frac{sinD}{d}=\frac{sinF}{f}\)Now, we multiply both sides by "d":
\(sinD=\frac{sinF}{f}d\)Now, we substitute the values:
\(sinD=\frac{sin(109.1)}{14.3}(5.6)\)Solving the operation:
\(sinD=0.3\)Now, w take the inverse function of the sine:
\(D=sin^{-1}(0.3)\)Solving the operations:
\(D=17.2\)Therefore, angle D is 17.2°.
To determine angle E we will us the fact that the sum of the interiosr angles of a triangle adds p to 180:
\(F+D+E=180\)Substitting the values:
\(109.1+17.2+E=180\)Adding the values:
\(126.3+E=180\)Now, we subtract 126.3 from both sides:
\(\begin{gathered} E=180-126.3 \\ E=53.7 \end{gathered}\)Therefre, angle E is 53.7°
What is the slope intercept equation for this line?
the slope for this line is 2
what is slope?The slope or gradient of a line is a number that describe both the direction and the steepness of the line. the steepness of a line is defined as the slope (or gradient). The slope is the ratio of vertical distance to the horizontal distance between any two points on a line. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).The greater the value of the slope, the "steeper" the slope is, and vice versa. So the smallest value of the absolute value of these slopes is 1/2.
So, A.T.Q:-
The formula of slopet intercept is Y2 -Y1 /X2-X1
From the question:
slope = -1-1/0-1
slope = 2
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{15×115-(-3)}(4-4)÷3{5+(-3)×(-6)} simplify the expressions
Answer:
0
Step-by-step explanation:
Alright, so we all know that the order is { [ ( ) ] } right?
1. { }
2. [ ]
3. ( )
Those are the IMPORTANT orders!
So first, 15 x 155 is 2325, and - and - is a +.
The first part is 2328, ( 2325 + 3 ).
The second part is 4-4 ÷ 3, don't forget, PEMDAS!
Prentices
Exponents
Multiplication
Division
Addition
Subtraction
So no, you will not divide 4 and 3 first.
First, do 4 - 4 which is 0.
And then 0 ÷ 3 which is 0.
The third part is 3 { 5 + ( - 3 ) x ( - 6 ) }
The outside 3 means that we will multiply after we get the answers.
But first, -3 x -6 is 18 because - and - is +.
Now, 5 + 18 which is 23.
3 times 23 is 69!
The fourth part is really easy, just add them all up!
2328 x 0 + 69
And lastly, we know that the answer is 0.
Selling Price = $ 504 and Gain % = 12%
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
Cate randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $20,340 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Cate found a z test statistic of -2.74. Given the data provided, what is the p-value of the z-test statistic?
Answer:
0.003
Step-by-step explanation:
Recall for a p-value, it must be a value that is as extreme and more extreme than the test statistics. If we go to the chart for the z-score and go to the row of -2.7 and to the column 0.04, we can see the value is 0.0031 or 0.003. Since the test is a one-tailed test (note that is less than, "<"), this is the p-value.
What does decreased mean in math?
Answer:
becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.
Step-by-step explanation:
BRAINLIST PLEASE!
Meaning of decreased in math is, get smaller in size, number or quantity.
We have to given that,
To defined decreased mean in math.
We know that,
We use minus sign to denote subtract, decreased by, take away, etc.
For example, Minus sign also means how much is one value more than the other value.
Hence, Meaning of decreased in math is, get smaller in size, number or quantity.
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The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
The statement that must be true for the parallelogram is
D. < CAD is congruent to < ACBWhat is alternate internal angles?Alternate internal angles are pairs of angles that lie on opposite sides of a transversal line intersecting two parallel lines. The angles are on the interior (between the two parallel lines) and are not adjacent to each other.
These angles are equal in measure (i.e., they are congruent), which means that if one angle has a certain degree of measure, the other angle will have the same degree of measure.
In the problem, the diagonal of the parallelogram is the transversal line and it is used to make the alternate internal angle theorem possible
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Part A: Choose one value for a and one value for b that would make both of the following inequalities true:
a < b and |b| < |a|
The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:
To make both inequalities true, we need to select values for a and b that satisfy the given conditions:
a < b: This inequality means that the value of a should be less than the value of b.
|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.
One possible solution that satisfies both conditions is:
a = -2
b = 1
With these values, we have:
-2 < 1 (a < b)
|-1| < |2| (|b| < |a|)
Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:
This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.
|b| < |a|:
This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.
By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.
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In a basketball game tamara made 16 out of 20 shots from the free throw line what percent of her shots did she make.
Answer:
80%
Step-by-step explanation:
16/20 can be simplified to 4/5
4/5 = .8 or 80%
^LMN with L(-6, -2), M(2, 4), and N(8, -4), and ^PQR with P(3, 1), Q(-1, -2), and R(-2, 2) The triangles are similar. The ratio of their corresponding sides is ____
Solution
For the Big triangle
We will find the size of each sides of the triangle
The formula for finding the distance between two points (x1, y1) and (x2, y2) is given by
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)To find n we have the points (-6, -2) and (2, 4)
\(\begin{gathered} n=\sqrt[]{(2-(-6))^2+(4-(-2))^2_{}} \\ n=\sqrt[]{(2+6)^2+(4+2)^2} \\ n=\sqrt[]{8^2+6^2} \\ n=\sqrt[]{64+36} \\ n=\sqrt[]{100} \\ n=10 \end{gathered}\)We find l we have the points (8, -4) and (2, 4)
\(\begin{gathered} l=\sqrt[]{(2-8)^2+(4-(-4))^2} \\ l=\sqrt[]{6^2+8^2} \\ l=\sqrt[]{100} \\ l=10 \end{gathered}\)To find m we have the points (-6, -2) and (8, -4)
\(\begin{gathered} m=\sqrt[]{(8-(-6))^2+(-4-(-2))^2} \\ m=\sqrt[]{(8+6)^2+(-4+2)^2} \\ m=\sqrt[]{14^2+2^2} \\ m=\sqrt[]{196+4} \\ m=\sqrt[]{200} \\ m=10\sqrt[]{2} \end{gathered}\)For the Smaller triangle
We will find all sides as well
For p we have the points (-2, 2) and (-1, -2)
\(\begin{gathered} p=\sqrt[]{(-1-(-2))^2+(-2-2)^2} \\ p=\sqrt[]{(-1+2)^2+(-4)^2} \\ p=\sqrt[]{1^2+4^2} \\ p=\sqrt[]{1+16} \\ p=\sqrt[]{17} \end{gathered}\)For r we have the points (-1, -2) and (3, 1)
\(\begin{gathered} r=\sqrt[]{(3-(-1))^2+(1-(-2))^2} \\ r=\sqrt[]{(3+1)^2+(1+2)^2} \\ r=\sqrt[]{4^2+3^2} \\ r=\sqrt[]{16+9} \\ r=\sqrt[]{25} \\ r=5 \end{gathered}\)For q we have the points (-2, 2) and (3, 1)
\(\begin{gathered} q=\sqrt[]{(3-(-2))^2+(1-2)^2} \\ q=\sqrt[]{(3+2)^2+(-1)^2} \\ q=\sqrt[]{5^2+1} \\ q=\sqrt[]{25+1} \\ q=\sqrt[]{26} \end{gathered}\)Comparing the two triangles side by sides
Comparing each ratios
They are NOT similar beacause the ratio of each sides are not same
\(\begin{gathered} RatioOfFirstSide=\frac{10}{5}=2 \\ RatioOfSecondSide=\frac{10}{\sqrt[]{17}}=2.425 \\ RatioOfThirdSide=\frac{10\sqrt[]{2}}{\sqrt[]{26}}=2.774 \\ \\ \frac{10}{5}\ne\frac{10}{\sqrt[]{17}}\ne\frac{10\sqrt[]{2}}{\sqrt[]{26}} \end{gathered}\)THEY ARE NOT SIMILAR TRIANGLE
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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A quadratic function passes through the points (-2,5) and (-8,5) and has a graph in the xy-plane that opens downward. Which of these could be the coordinates of the highest point of the graph?
O (5, 1)
O (5, 8)
O (5, 1)
O (5, 8)
The highest point of the quadratic equation that opens down can be (-5, 8)
Which of these could be the coordinates of the highest point of the graph?We have a quadratic equation whose graph opens downwards, and we know that it also passes through the points (-2,5) and (-8, 5).
The highest point will be of the form (x, y).
Such that y is larger than 5, and the value of x is right between the two values above:
x = (-2 - 8)/2
x = -5
So the point is of the form (-5, y) where again y > 5.
From the given options the only of this form is (-5, 8)
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Eloise needs to finish a 516-page report on international trade so she can present it at the big conference this weekend. She's been tracking her page count at the end of each business day to see if
she's on track. Use Excel to fit a trendline to Eloise's data to create a model of her productivity. According to your model, will Eloise be able to finish her report by the end of the day next Friday?
Assume she works only on weekdays.
Pages
423
Day
Monday
Tuesday
Wednesday
Thursday 466
Friday
473
432
The intercept is
448
A: Use Excel to fit a trendline to Eloise's data. What are the slope and intercept for this line?
The slope is
B: Use your model (trendline) to answer the question. Will Eloise finish her report by the end of next friday?
The total number of pages in the report is 516, and the projected number of pages Eloise will complete by next Friday is 459.6, we can conclude that she will not be able to finish her report by the end of next Friday.
To fit a trendline to Eloise's data in Excel, we can use the following steps:
Enter the data points for the "Day" and "Pages" into two columns in Excel.
Select the data points.
Go to the "Insert" tab in Excel and click on the "Scatter" chart type.
Choose the scatter plot with smooth lines and markers option.
Right-click on any data point on the chart and select "Add Trendline."
In the "Format Trendline" pane, choose the "Linear" trendline type.
Now, let's determine the slope and intercept for the trendline:
The slope represents the rate of change in the number of pages per day, and the intercept represents the initial page count.
According to the provided data:
Pages: [423, 466, 473, 432]
Day: [Monday, Tuesday, Wednesday, Thursday]
Using Excel's trendline, we obtain the following results:
A: The slope of the trendline is 5.4 (rounded to one decimal place).
B: The intercept of the trendline is 432.6 (rounded to one decimal place).
Now, let's use the model (trendline) to determine if Eloise will finish her report by the end of next Friday. We need to calculate the number of pages Eloise will have completed by the end of next Friday and compare it to the total number of pages in the report.
Assuming Eloise works only on weekdays, the number of weekdays until next Friday is 5.
Using the slope and intercept obtained from the trendline, we can calculate the projected number of pages Eloise will complete by next Friday:
Projected pages = (slope * number of days) + intercept
= (5.4 * 5) + 432.6
= 27 + 432.6
= 459.6
Since the total number of pages in the report is 516, and the projected number of pages Eloise will complete by next Friday is 459.6, we can conclude that she will not be able to finish her report by the end of next Friday.
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2 less than the square of a number.
Answer:
n²-2
Step-by-step explanation:
Let's let n stand for a number. 2 less than a square of a number, that means, the result of n²-2 is two less than n². I hope this makes sense!
Please help photos for my math
Answer:
1. Surface Area = 122 Volume = 84
2. Surface Area = 1632 Volume = 2880
3. Surface area = 168 Volume = 144
4. Volume = 1350\(\pi\)
Step-by-step explanation:
1. This is a rectangular prism. To find the surface area it is the same thing. Find the area of all sides and add them together. Because this is a rectangular prism most of the sides are equal so we will only need to find the area of three sides. To find the area of the right side, just do 4*3=12. That would be the same for the opposite side. Then to find the front side, do 7*4= 28. That would also be the same for the opposite side. Then to find the top side, do 7*3= 21. That is the same for the bottom side. Add them all together and you will get your answer. 28+28+21+21+12+12 = 122.
To find the volume of a rectangular prism the formula is V = l*w*h.
Plug in: V = 7*3*4 and then you will get 84.
2. This is a triangular prism. First find the area of the the triangular surface by multiplying the base x height and dividing by 2. (16*12)/2 = 96. That is the same for the opposite side. Then find the area of the bottom rectangular surface. 12*30 = 360. Then find the area of the back rectangular surface. 16*30 = 480. Then find the area of the final base rectangle. 30*20 = 600. Add them together and you will get 1632. Basically, find the area of all sides and then add them together.
To find volume the formula is, V = (1/2)a*c*h
Fill that in: V = (1/2)16*12*30 and then you will get 2880.
3. This is a trapezoidal prism. To find the surface area you would find the area of all sides then add them together. To find the are of a trapezoid, the formula is: A = \(\frac{a+b}{2}\)h
Fill that in: A = \(\frac{4+12}{2}\)(6) and then you will get 48.
That is the same for the opposite side. Then you need to find the area of the rectangular side of the trapezoidal prism. 3*4= 12. This is also the same as the opposite side. The bottom side is 12*3= 36. The top side is 3*4= 12.
Add all of them together and you get 168.
1/2(4+12)*6
To find volume, V = \(\frac{1}{2}\)h(b₁+b₂)h.
Fill in: V = \(\frac{1}{2}\)6(12+4)3 and then you will get 144.
4. This is a cylinder. The formula to find the volume is A=\(\pi\)r²h. Because you are leaving the answer in terms of pi, do not multiply pi into the equation.
So you would do r²h. 15² = 225. 225*6= 1350. So your answer would be 1350\(\pi\).
Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
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complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.
Equation:
Answer: x=
Answer:
x= (26.61-3.39)/18
Step-by-step explanation:
micah runs a lemonade stand.He sells large cups of lemonade for$0.50 and small cups of lemonade for$0.35.Create an expression represents how much money he could earn
Answer:
The expression for the amount of money in dollars he could earn is;
\(0.50x+0.35y\)Explanation:
Let x represent the number of cups of large cups of lemonade he sell and
y represent the number of cups of the small cups of lemonade he sell.
Given that;
He sells large cups of lemonade for $0.50
and small cups of lemonade for $0.35.
The amount he will male by selling x cups of large cups of lemonade and y cups of small cups of lemonade is;
\(0.50x+0.35y\)The expression for the amount of money in dollars he could earn is;
\(0.50x+0.35y\)Answer:
the dude above me is wrong this is the right answer 0.85(l + s)
Step-by-step explanation:
Use additive inverses and their properties to find the equivalent expressions.
6-(-3)
-6+(-3)
-6-(-3)
OOO
- 6+3
-6-3
6+(-3)
6-3
6+3
Answer:
-6+(-3) boom that the answer
Find the area of the shape
The area of the given figure is 27.5 square centimeter which has a rectangle and triangles
The given figure has a rectangle and triangles
The area of rectangle is length times width
Area of rectangle =5×4
=20 square centimeter
Area of triangle =1/2×base×height
=1/2×2.5×3
=7.5/2
=3.75 square centimeter
As there are two triangle = 2(3.75)
=7.5 square centimeter
Total area = 7.5+ 20
=27.5 square centimeter
Hence, the area of the given figure is 27.5 square centimeter
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Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D
Answer:
c
Step-by-step explanation:
Answer:
A. 100 miles divide 2.5 hours = 40 miles per hour
Find the missing numbers
Based on the information provided, the missing number would be number 6.
How to find the missing numbers?When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.
In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.
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Please please help please please help me please please help please please help me I REALLY NEED HELP PLEASE
Answer:
6789
Step-by-step explanation:
Need help with this mathematical question
Five-number summary for data set A is: 21, 23.5, 27, 31.5, 34
Five-number summary for data set B is: 21, 22.5, 24.5, 28.5, 35
How to Determine the Five-number Summary of a Data Set?the five-number summary of a data set consists of:
The minimum or the lowest value
First quartile (Q1), that is the middle of the first part of the data set when ordered.
Median, that is the center of the data set.
Third quartile (Q3), that is the middle of the second part of the data set when ordered.
Maximum value or largest value.
The five-number summary is written from the least to the largest value.
Five-number summary for data set A:
Given, 24, 31, 30, 32, 23, 25, 34, 32, 25, 21, 22, 29;
Minimum: 21
First Quartile: 23.5
Median: 27
Third Quartile: 31.5
Maximum: 34
Five-number summary for data set B:
Given, 35, 33, 32, 21, 22, 23, 24, 25, 24, 22, 25, 25;
Minimum: 21
First Quartile: 22.5
Median: 24.5
Third Quartile: 28.5
Maximum: 35
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What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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A rectangular prism has a length of 11ft, a height of 4ft, and a width of
3ft. What is its volume, in cubic ft?
Answer:
132 feet
Step-by-step explanation:
Volume = 11×3×4 = 132 feet
100 Points! Multiple choice Geometry question. Photo attached. Thank you!
Answer:
2. C. 50.3 ft²
3. A. 75.4 ft²
Step-by-step explanation:
The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
Where:
r is the radius of the baseh is the height of the cylinderThe total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:
Total Surface Area = 2πrh + 2πr^2
Where:
r is the radius of the baseh is the height of the cylinder2.
r=2 ft
h=4 ft
Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²
3.
Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2
=50.3+25.1=75.4 ft²
The red function was transformed into the blue function. Which transformations have occurred?
Answer:
Translated 3 units down 2 units left.
Step-by-step explanation:
It looks like the functions are the same, so if you see, it was translated 3 units down and 2 units left.