Answers
Answer:
D. 2
Step-by-step explanation:
DEFG is a trapezoid and AB is its Midsegment.
Therefore,
[tex]AB =\frac{1}{2}(DG + EF) \\ \\ 12 = \frac{1}{2} (5x - 4 + 8x + 2) \\ \\ 12 \times 2= (13x - 2) \\ \\ 24 = 13x - 2 \\ \\ 24 + 2 = 13x \\ \\ 26 = 13x \\ \\ x = \frac{26}{13} \\ \\ x = 2[/tex]
Related Questions
Please help me i dont know what to do
Answers
Answer:
Help you with what?
what is the equation of the line that passes through the points (-4,-5) and (-2,-6)
Answers
Answer:
The equation is: y=-0.5x-7
Step-by-step explanation:
A geologist examines 18 water samples for iron concentration. The mean iron concentration for the sample data is 0.272 cc/cubic meter with a standard deviation of 0.0851. Determine the 99% confidence interval for the population mean iron concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
The critical value that should be used in constructing the confidence interval is T = 2.898.
The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.898\frac{0.0851}{\sqrt{18}} = 0.058[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.272 - 0.058 = 0.214 cc/cubic meter.
The upper end of the interval is the sample mean added to M. So it is 0.272 + 0.058 = 0.33 cc/cubic meter.
The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.
Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1
×2
5
4
.
Write the answer as a reduced fraction.
Use slash \left(/\right)(/) to separate numerator and denominator.
Answer:
Answers
Answer:
bro gave me a virus
Step-by-step explanation:
dont click the link
10 \div (-2) = ?10÷(−2)=
Answers
Answer: -5 I'm pretty sure, the way you put it kinda made me confused
Determine the value of x so that the numbers a1 = In(x + 2). a2 = In(x + 3).
a3 = In(4x + 8) form three consecutive members of an arithmetic sequence.
Select one:
a. Such x does not exist.
b. x = -+1
c. There are two possible solutions.
d. x = -1
e. None of the remaining possibilities is correct.
Answers
Answer:
Step-by-step explanation:
hello :
the numbers a1 , a2 ,a3
form three consecutive members of an arithmetic sequence means : 2a2 = a1+,a3
2 In(x + 3) = In(x + 2)+In(4x + 8)....(*)
now solve this equation use this note :
ln a^n = alna and : lna+lnb =lnab lna =lnb means : a=b ...a , b positif numbers
(*) equivaut : In(x + 3)² = In(x + 2)(4x + 8) and : x + 2 ,x + 3 , 4x + 8
are positifs numbers
(x + 3)² = (x + 2)(4x + 8)
x²+6x+9 = 4x²+16x+16
3x²+10x+7 =0
delta =10²-4(3)(7) 100 -84 = 4²
x1 = (-10-4)/6 = -7/3 reused
x 2 = (-10+4)/6 = -1 reused
conclusion : a. Such x does not exist.
A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
Answers
Answer:
0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL
This means that [tex]\mu = 30.8, \sigma = 4.371[/tex]
What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?
This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.
X = 39.73
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.73 - 30.8}{4.371}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a pvalue of 0.9793
X = 36.84
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36.84 - 30.8}{4.371}[/tex]
[tex]Z = 1.38[/tex]
[tex]Z = 1.38[/tex] has a pvalue of 0.9162
0.9793 - 0.9162 = 0.0631
0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
m = 4, (6,6)
Answers
Answer:
[tex]4x-y=18[/tex]
Step-by-step explanation:
We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).
First, we can write it in point-slope form. Point-slope form is given by:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Where (x₁, y₁) is a point and m is the slope.
Substitute:
[tex]y-6=4(x-6)[/tex]
Distribute the right:
[tex]y-6=4x-24[/tex]
Now, we can separate all the variables and the constants. Subtract 4x from both sides:
[tex]-4x+y-6=-24[/tex]
Add add 6 to both sides:
[tex]-4x+y=-18[/tex]
Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:
[tex]4x-y=18[/tex]
Find the PERIMETER and AREA of each figure below
help ASPS
Find the perimeter and area 22-24 and only find the area for 25-26
Answers
Answer:
22)
[tex]2(length+breadth+h)[/tex][tex]2(5a^2b^2+3ab^2)[/tex][tex]Perimeter: 2ab^2(5a^2+31)[/tex][tex]Area:-[/tex]
[tex]5a^2b^4 *3ab^2[/tex][tex]A=15a^2b^6[/tex]-----------
23)
[tex]perimeter:-[/tex]
[tex]4m^2+3mn^2+7mn[/tex][tex]4m^2+10mn^2[/tex][tex]answer: 2m(2m+5n^2)[/tex][tex]Area:-[/tex]
[tex]\frac{1}{2}* base* height[/tex][tex]1/2*3mn^2*4m^2[/tex][tex]6mx^{2+1}n^2[/tex][tex]A=6m^3n^2[/tex]----------
24)
[tex]1/2*b*h[/tex][tex]1/2x^24m^2*8mn[/tex][tex]A=16m^3n[/tex]----------
25)
[tex]1/2*(7a^2b+11a^2b)*3ab[/tex][tex]1/2*18a^2b*3ab[/tex][tex]9a^2b*3ab[/tex][tex]A=27 a^3b^2[/tex]------------
26)
[tex]A= 9\pi (x^3y)^2[/tex]∴To calculate the perimeter , add the length of its sides.
∴To calculate the area, multiply its height by its width.
------------------------
hope it helps...
have a great day!!
find the interquartile range. its question 5 and four
Answers
Answer:
I think the interquartile range is 2.5
Step-by-step explanation:
Interquartile range = Q3-Q1.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points. Find Keenan's and Rachel’s z-scores, to the nearest hundredth.
Answers
Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that [tex]X = 80, \mu = 77, \sigma = 4.9[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 77}{4.9}[/tex]
[tex]Z = 0.61[/tex]
Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that [tex]X = 78, \mu = 75, \sigma = 3.7[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 78}{3.7}[/tex]
[tex]Z = 0.81[/tex]
Rachel's z-score was of 0.81.
The midpoint AB is M (1,1). If the coordinates of A are (-3,-3), what are the coordinates of B
Answers
Answer:
(2,−4).
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
pls help me under stand this
Answers
9514 1404 393
Answer:
5 ft
Step-by-step explanation:
You are given the area and base lengths of a trapezoid and asked for its height. The formula for the area of a trapezoid is useful.
A = (1/2)(b1 +b2)h
Filling in the given information, you have ...
30 ft² = (1/2)(4 ft +8 ft)h
30 ft² = (6 ft)h . . . . . . . . . . . simplify
h = (30 ft²)/(6 ft) = 5 ft . . . . divide by the coefficient of h
The height of the trapezoid is 5 feet.
the percent of the principal that is earned in return for loaning the bank the funds?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answers
Answer:
B
Step-by-step explanation:
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price, in dollars, of the book?
Enter your answer in the box.
$
Part B
A customer buys a different book that has an original selling price of $38. The bodk is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book?
Enter your answer in the box.
$
Answers
Answer:
The Part A answer would be 25% selling price. For Part B 10% would be the retail for the book.
Step-by-step explanation: 40% the less price 25% then next 25% less 10%.
Simplify the expression.
4y + 3( y+1) + 2 (x + 5)
Answers
Answer:
4y + 5x + 13
Step-by-step explanation:
4y + 3(y + 1) + 2(x+5)
Distribute
4y + 3y + (3 x 1) + 2x + (2 x 5)
4y + 3y + 3 + 2x + 10
Combine like terms
4y + 5x + 13
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
Answers
9514 1404 393
Answer:
(a) 28
Step-by-step explanation:
Kruskal's algorithm has you identify the shortest edge at each stage, including in the tree any identified edge that does not form a cycle. Here, we can start with AB, then add DF, EH, HG, BG, AC, CD and that covers the entire graph.
Starting at E, the node list is EHGBACDF. The cost is ...
3 +4 +5 +1 +6 +7 +2 = 28
__
In the attached, the minimum-cost spanning tree is highlighted in red.
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answers
Answer:
4x+1
Step-by-step explanation:
Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.
so you add: (3x-1) and (x+2)
combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías?
Answers
Answer:
Step-by-step explanation:
One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.
Answers
Answer:
19 degrees
Step-by-step explanation:
Sum of 2 angles is complementary,
x + 71 = 90
x = 90 - 71
x = 19 degrees
What is the product?
Answers
Answer:
it is B
Step-by-step explanation:
Brainliest or
5 stars and 1 heart or both if your realy kind
PS correct me if im wrong on the answer
The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.
Answers
9514 1404 393
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
Evelyn is going to invest $3,500 and leave it in an account for 16 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Evelyn to end up with $6,200?
Answers
Answer:
Quarterly interest rate= 0.8974%
Step-by-step explanation:
Giving the following formula:
Initial investment (PV)= $3,500
Future Value (FV)= $6,200
Number of periods (n)= 16*4= 64 quarters
It is almost impossible to calculate the interest rate using a formula. To determine the interest rate, we need to use a financial calculator:
Function: CMPD
n= 64
I%= SOLVE= 0.8974
PV= 3,500
FV= -6,200
Quarterly interest rate= 0.8974%
Answer:
3.6%
Step-by-step explanation:
pls help me answer this
Answers
Answer:
C
Step-by-step explanation:
Bc everything is positioned right
I hope this helps
-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.
Answers
Answer:
From least to greatest, the correct order is: [tex]-\frac{157}{20}[/tex]; -7.666....; -7.64; and [tex]\sqrt{50}[/tex].
Step-by-step explanation:
Since [tex]\sqrt{50}[/tex] is the only positive number, that means that it will be the greatest number on the list. [tex]-\frac{157}{20}[/tex] is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is [tex]-\frac{157}{20}[/tex]; -7.666...; -7.64; and [tex]\sqrt{50}[/tex].
100
100
Students, drow anywhere on this slide!
Answers
Answer:
Im sorry what?
Step-by-step explanation:
Simplify, then write the answer in the standard form
(2x3 - X + 8) + (- X3 + x - 3)
Answers
Answer: x^3+5
Step-by-step explanation: You add the terms with similar exponents.
2x^3 + (-x^3) = x^3 -x+x = 0 8 + (-3) = 5
the larger of two numbers is twice the smaller. if the larger is x what is the smalller. I NEED HELP PLSSS!!
Answers
Answer:
Easy. The smaller is x/2.
Step-by-step explanation:
2 times is larger, so larger divided by 2 is the smaller.
Are these ratios equivalent?
28 strikes : 36 balls
7 strikes : 9 balls
Answers
Answer:
yes
Step-by-step explanation:
the ratio of 28 : 36 can be simplifeid by dividing both sides of the ratio by 4.
28/4=7
36/4=9
so the ratio of 28 : 36 is equal to 7 : 9
90:(3+6)-20.(60-55) propiedad
Answers
Answer:
https://www.commoncoresheets.com/Math/Properties/Applying%20Properties%20of%20Operations/Spanish/2.pdf
Step-by-step explanation:
This will help you:) not a spam link its a pdf that brings you straight to the worksheet <3