Answer: 5
Step-by-step explanation:
What is the mean of these numbers?4,5,5,2,3,3,2,8 *
Answer:
16
Step-by-step explanation:
Instructions: Find UF if FR= 8.
Help please
Answer:
16
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
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Can anyone pls help I need the answer quickly
Therefore , in response to the given problem of triangle, we can state that the triangles ECD and PQR
Describe the triangle.A triangle is a polygon since it has four segments and three vertices. It is one of the basic geometric forms. The title given to that of a triangle with the vertex A, B, and C is Triangle ABC. A unique planes and trapezoid in Geometric forms are discovered once the three criteria are not collinear. Quadrilateral and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where its three sides converge. 180 degrees is the result of multiplying three triangle angles.
Here,
=> EC = PQ (equal side)
=> CD = PR (equal side)
=> ED = QR (equal side)
as a result, the SSS property compares both triangles.
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Solve the following inequalities, if it is known that function g is decreasing on its domain.
g (x^2) > g (5x+6), D(g) = [1,∞)
PLEASE HELP. IVE BEEN STUCK ON THIS PROBLEM FOR THE PAST HOUR.
Answer:
1 ≤ x < 6
Step-by-step explanation:
Okay so the answer is 1 ≤ x < 6, and the way you solve it is pretty simple :)
First: Eliminate the functions of the inequality, leaving it to just being an inequality. You have to understand that the function is decreasing on its domain, so the sign will reverse itself once you take away g(x)
This should take you from having [tex]g(x^{2} )>g(5x+6)[/tex] to having [tex]x^2<5x+6[/tex]. From here you solve the inequality to get [tex]-1<x<6[/tex], although you aren't done.
Afterwards you take into account the domain, which restricts everything to being greater than or equal to one. This means that your inequality changes to 1 ≤ x < 6.
yw and good luck w ur rsm hw haha
lmk if this was helpful :P
The solution of inequality is 1 ≤ x < 6.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Remove the inequality's functions, leaving it as an inequality alone.
As, the function is decreasing on its domain, the sign will change if g(x) is removed.
We have
g (x²) > g (5x+6)
x² > 5x +6
For the above equation the interval is -1 < x < 6.
The domain, which limits everything to being larger than or equal to one, is then taken into consideration.
So, the inequality is 1 ≤ x <6.
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Helen draws a random circle, she then measures the circumference and diameter.
She gets a circumference C of 405mm correct to 2 significant figures
She gets a diameter D of 130mm correct to 2 significant figures
Helen wants to find the value of [tex]\pi[/tex] using the formula [tex]\pi[/tex] = C÷D
Calculate the lower and upper bound for Helens value of [tex]\pi[/tex]
Give your answer correct to 3 decimal places
The value of π can be written with upper and lower limits as -
3.12 ± 0.062.
What are significant figures?Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.
We can write -
Circumference {C} = (405 ± 2) mm
Diameter {D} = (130 ± 2) mm
The value of π can be calculated as -
π = {C}/{D}
π = (405 ± 2)/(130 ± 2)
Now, divide the numbers without errors first -
405/130
3.12
Now, we will calculate the relative errors in each number -
2/405 = 0.004
2/130 = 0.016
Adding the relative errors -
0.004 + 0.016
0.02
Absolute error = 0.02 x 3.12 = 0.062
The value of π can be written with upper and lower limits as -
3.12 ± 0.062
Therefore, the value of π can be written with upper and lower limits as -
3.12 ± 0.062.
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Which equation has a solution of k = 6.5?
For the function f(x) shown below, find the definite integral ∫₀⁶ f?(x)dx
========================================================
Explanation:
The left-most rectangle spans from x = 0 to x = 2. It has base 2 and height 2, which means it has an area of 2*2 = 4 square units. Let A = 4 since we'll use it later.
The middle rectangle goes from x = 2 to x = 4. It has base 2 and height 3 (because it goes from y = 0 to y = -3). The area is B = 2*3 = 6
Draw a vertical line through 6 on the x axis. This forms the final rectangle we need. It has base 2 (because it goes from x = 4 to x = 6) and height 5. The area is C = 2*5 = 10.
The small sliver to the right of x = 6 is ignored completely.
--------------------
Summary so far:
A = 4B = 6C = 10Those represent the areas of the rectangles from left to right. We ignore the portion to the right of x = 6.
Since rectangle B is below the x axis, we treat this as a negative area, or we subtract off this area. The positive areas of rectangles A and C are added.
So,
A-B+C = 4-6+10 = 8 is the final answer
We can write [tex]\displaystyle \int_{0}^{6}f(\text{x})d\text{x} = \boldsymbol{8}[/tex]
I need the answer for this please ASAP i give you 30 points after you answer it correctly
Answer:
Sum of all the interior angles = 900°
Each angle ≅ 128.57° (rounded to the nearest hundredth)
Step-by-step explanation:
The sum of the interior angles of a polygon can easily be found by using the following formula...
Sum of all the interior angles = 180°(n - 2)
In that formula "n" equals the number of sides a polygon has so in our case
n = 7
So now we know that the sum of all angels equals...
180°(n - 2) = 180° (7 - 2) = 180° (5) = 900°
From here we can easily find the measure of each angle since there is a rule that states that in a regular polygon all angles are equal to each other, so we just have to divide the sum of all interior angles by the number of interior angles, and so we get...
900° / 7 ≅ 128.57 (rounded to the nearest hundredth).
A study was done to compare the effectiveness of distance learning with traditional classroom instruction. Fourteen students took a business administration course online, while 17 students took it in a classroom. The final exam scores were as follows. It is reasonable to assume that the samples come from populations that are approximately normal.
Online
65 74 84 63 87 76 73
90 71 68 76 82 61 69
Classroom
70 79 55 74 82 70 80 73 77
54 82 80 81 68 58 69 92
Required:
a. Construct a 95% confidence interval for the difference between the mean scores for the two types of instruction.
b. An educator claims that both methods of instruction are equally effective. Does the confidence interval contradict this claim?
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A:
Check conditions for a 2-sample t-interval:
Random sample? √
Is the sample size no more than 10% of the population? √
Are both samples approximately normal? √
Construct the 95% confidence interval:
On a TI-84, click on "Stat", scroll to "Tests", and select "2-SampTInt". Put your data into 2 lists and set C-Level to be 0.95 to represent a 95% confidence level. Make sure the data isn't pooled, and press "Calculate" to obtain your results. You will see that the 95% confidence interval for the difference between the mean scores for the two types of instruction is {-6.042,8.1175}
Part B:
The confidence interval does not contradict the claim because 0 is contained within the 95% confidence interval, so it is quite possible that there is no difference between the mean scores for the two types of instruction.
A business gained 50 new customers in April, 100 new customers in May, and 150 new customers in June. During that time, they were running a campaign with a budget of $3000. What was their Customer Acquisition cost?
Their Customer Acquisition cost was $10
What is customer acquisition cost?Customer Acquisition Cost is the cost of winning a customer to purchase a product or service. As an important unit economic, customer acquisition costs are often related to customer lifetime value. Customer acquisition cost can also be referred as the fee associated with convincing a customer to buy your product or service.
To calculate customer acquisition cost
Customer Acquisition Cost (CAC) = Customer Acquisition Cost/total marketing cost
From the question,
The business gained 50+100+150= 300 new customers
Campaign budget = $30000
Customer Acquisition Cost (CAC) = $3000/300
=$10
Hence, it cost the business $10 to acquire a new customer
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The perimieter of parallelogram ABCD is 86cm. AD is 4cm more than twice AB. Find the length of BC.
Answer: 30
Step-by-step explanation: i’m not sure but my hw says it’s right
please help!!
i will mark as brainliest
Step-by-step explanation:
okay
I think you should use the method of tan 30
and then find x by using pythagorean theorem
QUICK HELP PLEASE!!!!!
HOPE THIS HELPS YOU.HAVE A NICE DAY....
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 11 inches, and the length of the base is 6 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
The perimeter of the considered isosceles triangle is 28.8 in. approx.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Considering the attached image below, which has same isosceles triangle with same measurements, we see that:
|AC| = |AB| (because perpendicular dropped leaves two congruent triangles in ABC, as ADC and ADB)
similarly, we have:
|BD| = |DC|
But |BC| = 6 = |BD| + |DC|,
Thus, 6 = |BD| + |DC| = |BD| + |BD| =2|BD|
|BD| = 6/2 = 3 inches = |DC|
From Pythagoras theorem for triangle ADB, we get:
[tex]|AB|^2 = |AD|^2 + |BD|^2\\|AB|^2 = 11^2 + 3^2 = 121 + 9 = 130\\|AB| = \sqrt{130} \approx 11.4 \: \rm in. = |AC|[/tex]
(positive square root since |AB| is length, which is a non-negative measure).
Thus, we get:
Perimeter of the rectangle = |AB| + |BC| + |AC| ≈ 11.4 + 6 + 11.4 = 28.8 in.
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find the distance between the points (4,0) and (-3,4)
Answer:
8.0622
Step-by-step explanation:
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
8, -14, and 3 + 9i
Options: f(x) = x4 - 11x3 + 72x2 - 606x + 10,080
f(x) = x4 - 303x2 + 1212x - 10,080
f(x) = x4 - 11x3 - 72x2 + 606x - 10,080
f(x) = x4 - 58x2 + 1212x - 10,080
Answer:
B
Step-by-step explanation:
At American Eagle a shirt is on sale from 25 to 15 what is the percent of change for the shirt
Answer:
Percent change = 15 - 25/25 × 100% = -10/25 × 100 = -40%
Step-by-step explanation:
Answer:
5 percent
Step-by-step explanation:
divide 25 by5 which gives you percent
What is the equation of the line that passes through the point (-1,-5) and has a
slope of -3?
Answer:
y=-3x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-3(x-(-1))
y+5=-3(x+1)
y=-3x-3-5
y=-3x-8
This subtraction represents a translation of the
given triangle
——- and ——-
Answer:
right 2 unitsdown 4 unitsStep-by-step explanation:
You want to know the translation effected by subtracting -2 from the x-coordinate, and subtracting -4 from the y-coordinate of the vertices of a triangle.
TranslationYou have correctly observed that the triangle vertex (-2, 0) is translated to (0, -4) by the subtraction of the translation matrix. That is, the x-coordinate is increased by 2, moving the point 2 units to the right, while the y-coordinate is decreased by 4, moving the point 4 units down.
The translation is to the right by 2 units, and a translation down by 4 units.
Answer: 2 units right 4 units down
Step-by-step explanation: trust
i need help figuring out this question
Answer:
nre, nre
Step-by-step explanation:
Given
[tex]4b^2 + 16 = 0[/tex]
Required
Solve
[tex]4b^2 + 16 = 0[/tex]
Subtract 16 from both sides
[tex]4b^2 +16 -16 = 0 - 16[/tex]
[tex]4b^2 = - 16[/tex]
Divide both sides by 4
[tex]b^2 = -4[/tex]
Take square roots of both sides
[tex]b = \sqrt{-4[/tex]
[tex]\sqrt{-4} \to[/tex] Complex number
Hence, no real root exist
How do you round 38 to two decimal places?
Answer:
38.10
38.00
hope this helps
have a good day :)
Step-by-step explanation:
2x^5 + 4y^12/12x^2 = ?
Solve in simplest form
Answer:
2x^5+y^12*x^2/3
Step-by-step explanation:
please hurry need done asap
Answer:
Third Option!
Step-by-step explanation:
Sorry if i'm wrong :(
Answer:
Third option is the correct answer.
[tex] 2log_{5}x - 2log_{5}4[/tex]
Step-by-step explanation:
[tex] log_{5} \bigg( \frac{x}{4} \bigg) ^{2} \\ \\ = 2log_{5} \bigg( \frac{x}{4} \bigg) \\ \\ = 2log_{5}x - 2log_{5}4[/tex]
2
James has two cans containing biscuit dough. The cans are cylindrical and their dimensions, in inches, are shown below.
8 in
A
B
4 in
H
0.5 in 1 in
Note: Figure is not drawn to scale.
Which of the following statements aboạt the volumes of the cans is true?
OA. The volumes of the two cans are equal.
ОВ.
The volume of can B is half the volume of can A.
C. The volume of can B is four times the volume of can A.
OD
The volume of can A is half the volume of can B.
Reset
Next Question
Answer:
The volume of can A is half the volume of can B.
Step-by-step explanation:
Given
Can A and Can B
Required
The true statement
For Can A, we have:
[tex]h =8[/tex]
[tex]r = 0.5[/tex]
The volume is:
[tex]Volume = \pi r^2h[/tex]
This gives:
[tex]V_A = \pi * 0.5^2 * 8[/tex]
[tex]V_A = \pi * 2[/tex]
[tex]V_A = 2\pi[/tex]
For Can B, we have:
[tex]h =4[/tex]
[tex]r = 1[/tex]
The volume is:
[tex]Volume = \pi r^2h[/tex]
This gives:
[tex]V_B = \pi * 1^2 * 4[/tex]
[tex]V_B = \pi * 4[/tex]
[tex]V_B = 4\pi[/tex]
So, we have:
[tex]V_A = 2\pi[/tex]
[tex]V_B = 4\pi[/tex]
By comparison, (d) is correct
HELP!!!!! In a hurry!
Answer:
C - b = 190x - 10x
Step-by-step explanation:
Mark brainliest
When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest 10th?
A percentage of Bashir's commute that would be shorter than 32 minutes, to the nearest 10th is 50%.
How to determine the required percentage?Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:
Z-score, z = (x - μ)/σ
Where:
x is the sample score.σ is the standard deviation.μ is the mean score.Substituting the parameters into the z-score formula, we have;
Z-score, z = (32 - 32)/3
Z-score, z = 0/3
Z-score, z = 0
Since a commute of 32 minutes on a test has a z-score of 0, the percentage of Bahir's commute that would be shorter than 32 minutes can be calculated as follows:
P(x > 32) = P(z > 0)
P(z > 0) = 0.5
P(z > 0) = 50%.
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Gun ownership Concerned about recent incidence of gun violence, a public interest group conducts a poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.
a. Construct and interpret a 95% confidence interval for the proportion of all American adults who have a gun in their home.
b. Explain what is meant by 95% confidence in this context.
Answer:
a.
The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.
b.
The confidence level is the probability of the confidence interval containing the population proportion.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.
This means that [tex]n = 850, \pi = 0.44[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 - 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4066[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 + 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4734[/tex]
The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.
b. Explain what is meant by 95% confidence in this context.
The confidence level is the probability of the confidence interval containing the population proportion.
A line passes through the origin (−1, 1) and (4, n). Find the value of n.
The line y = - x has a coordinate value of (4, - 4) passing through the origin.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the origin, (−1, 1) and (4, n).
So, The slope of the line is,
m = (1 - 0)/(- 1 - 0).
m = - 1.
Now,
1 = -1(-1) + b.
b = 0.
y = - x.
At x = 4,
y = - 4.
So, The point (4, n) is (4, - 4).
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What is the period of the function F(x) = -4sec (1/2 x)
A. 4 pi
B. pi
C. pi/2
D. 2 pi
Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
What is 0.3172 rounded to the nearest tenth?
Answer:
0.3172 rounded to the nearest tenth would be 0.3.
This is because you would first look at the number in the tenths place which is 3.
Then you would look to the number to the right to determine if you would round up or down.
If the number in the hundredths place is bellow 5, the number would remain the same, and if it were above 5, it would round up by one number.
If the number were 5, you would look to the number in the thousandths place and then go from there.
Since the number in the hundredths place is 1, then you will ignore the other numbers to the right and, you would have a result of 0.3.
Step-by-step explanation:
Hope it helps! =D
Answer: 0.3171 rounded to the nearest tenth is 0.3.
Step-by-step explanation:
Follow these steps for rounding the decimal number 0.3171 to the nearest tenth (one decimal place):
Find the tenth digit, = 3 in the 0.3171.
Find the digit immediately to the right of the tenth place. If this number is greater than or equal to 5, round up; otherwise, round down.
= 1 in the 0.3171
Because 1 is less than 5, the tenth position digit 3 remains constant.
Remove all digits to the right of the rounding digit and rewrite the number.
As a result, 0.3171 rounded to the nearest tenth is 0.3.