how do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing
thx in advance!
Answers
Answer:
-1
Step-by-step explanation:
[tex] \sqrt{9 - 4 \sqrt{2} } - 2 \sqrt{2} \\ \\ = \sqrt{8 + 1 - 4 \sqrt{2} } - 2 \sqrt{2} \\ \\ = \sqrt{8 - 4 \sqrt{2} + 1} - 2 \sqrt{2} \\ \\ = \sqrt{ {(2 \sqrt{2}) }^{2} - 2 \times 2 \sqrt{2} \times 1 + {1}^{2} } - 2 \sqrt{2} \\ \\ = \sqrt{( {2 \sqrt{2} - 1)}^{2} } - 2 \sqrt{2} \\ \\ (2 \sqrt{2} - 1) - 2 \sqrt{2} \\ \\ = 2 \sqrt{2} - 1 - 2 \sqrt{2} \\ \\ = - 1[/tex]
Related Questions
A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit survey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, what is a 95 percent confidence interval for the population mean number of novels read by all seniors?
Answers
Answer:
(5.240 ; 8.760)
Step-by-step explanation:
Given :
Sample mean, xbar = 7
Standard deviation, s = 2.29
Sample size, n = 9
95% confidence interval for the population mean :
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 0.05 ; df = 8 = 2.306
Margin of Error = 2.306 * 2.29/sqrt(9)
Margin of Error = 1.760
Lower boundary = (7 - 1.760) = 5.240
Upper boundary = (7 + 1.760) = 8.760
(5.240 ; 8.760)
A person, 35 meters away from a building, is looking up at a bird that is sitting on the top of the building. If the distance from that person to the bird is 91 meters, how tall is the building? (no website pls just answer)
Answers
Answer:
I think it is 56
Step-by-step explanation:
There were twelve times more children than adults at the matinee performance of the school play. There were 455 people at the play. How many adults and children were there?
Answers
Answer:
35 adults, 420 children
Step-by-step explanation:
1. Set up variables
Let's say children is c and adults is a.
2. Create the equations
c = 12a AND c + a = 455
3. Plug in the variables
Let's take c = 12a and substitute it in for c in the equation "c + a = 455." That would be...
12a + a = 455
13a = 455
a = 35
3. Plug in more variables
Now we have our answer for a, so let's plug it into the other equation. That would be...
c + a = 455
c + 35 = 455
c = 420
I need help on this question please and thanks :)
Answers
Answer: a and b
Step-by-step explanation:
Answer:
a, b
Step-by-step explanation:
input, output = ordered pair
m = 3, y-int = 2
Prove Triangle congruence part 1
Answers
Answer:
there is five way to find that triangle is congruent. they are:
1. SAS axiom
2. SSS axiom
3. AAA axiom
4. ASA axiom
5. RHS axiom
3 (18 - 7) divided by 2? I have to show my work
Answers
Answer:
16.5
Step-by-step explanation:
(18-7) = 11
11 x 3 = 33
33 divided by 2 = 16.5
Answer:
[tex]16\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3 (18 - 7)}{2} =\frac{3*11}{2}=\frac{33}{2}= 16\frac{1}{2}[/tex]
A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted
Actual No Donation Donation
Donation 268 20
No Donation 5375 23439
The following table lists some information on individual observations from the validation set:
0.8
Observation ID Actual Class Probability of Donation Predicted Class
A Donation 0.8 No Donation
B No Donation 0.1 Donation
C No Donation 0.6 Donation
Compute the values of accuracy, sensitivity, specificity, and precision.
Answers
Answer:
Accuracy = 0.81
Sensitivity = 0.93
Specificity = 0.81
Precision = 0.047
Step-by-step explanation:
Given the confusion matrix :
Actual_______ Donation___ No Donation
Donation______ 268 (TP) _______ 20 (FN)
No Donation ___5375 (FP) _____23439 (TN)
Accuracy is calculated as :
(TP + TN) / (TP+TN+FP+FN)
(268 + 23439) / (268 + 23439 + 5375 + 20)
ACCURACY = (23707 / 29102) = 0.81
Sensitivity (True positive rate) :
TP ÷ (TP + FN)
268 ÷ (268 + 20)
268 ÷ 288 = 0.93
Specificity (True Negative rate) :
TN ÷ (TN + FP)
23439 ÷ (23439 + 5375)
23439 ÷ 28814
= 0.81
Precision :
TP ÷ (TP + FP)
268 ÷ (268 + 5375)
268 ÷ 5643
= 0.047
Simplify the expression 6−2+5+4.
Answers
Please help no links or ill report
Answers
Step-by-step explanation:
the answer is 105
?=1/2(UJ+ST)arc
?=1/2(50+160)
?=1/2(210)
?=105
What is the gradient of the line 3x + 2y=9
Answers
Answer:
slope : -3/2
Y=(0, 9/2)
Step-by-step explanation:
The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. which function is representative of this transformation?
g(x) = log3(-2x) - 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3
Answers
Answer:
f(x) = -2 log3x - 3.
Step-by-step explanation:
f(x) = log3x
Reflecting over x axis makes it f(x) = f(x) = -log3x
Vertical stretch gives -2 log3x
Finally moving the graph down 3 units gives -2 log3x - 3.
What is the equation of the line that is parallel to line y = -3x – 8 and passes
through the point (-2, 9)?
y= 1x + 29
y = -3x + 11
y = -3x + 3
y = 4x + 53
Answers
Answer:
y = -3x + 3
Step-by-step explanation:
Since the line is parallel, it has the same slope. Plug the point you have into the equation y - y1 = slope (x -x1) to get your answer, which should be y = -3x +3
Hopefully this helps - let me know if you have any questions!
Answer:
C: y = -3x +3
Step-by-step explanation:
Lines that are parallel have the same slope have so the slope of the line in -3, now we have to find the y-intercept, we can do this by substituting -2 for x and 9 for y and solve for b
9 = -3(-2) +b
9 = 6 + b
b = 3
So the line that is parallel to y = -3x -8 and goers through the point (-2,9) is y = -3x + 3 or answer C
Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3
Answers
Answer:
n - 5 = 8
Step-by-step explanation:
5 less than a number = a number subtracted by 5
C
D
-3
Polygon ABCD has vertices A(-4,4), B(-1, 4), C(-3, 2), (-1, 1). Graph and label the vertices of
ABCD and its image A'B'C'D' after rotation it 90 degree counter clockwise. Choose the correct
ordered pairs of the image A'B'C'D'.
(2 Points)
O A'(-4,4), B'(-1,4), C(-3, 2), D(-1, 1)
Ο Ο Ο
O A'(4.4). B'(4.1), C(2, 3), D(1,1)
A'(-4,-4), B'(-4,-1), C(-2,-3), D(-1,-1)
Answers
Answer:
A'(-4,-4), B'(-4,-1), C(-2,-3), D(-1,-1)
Step-by-step explanation:
After counterclockwise 90 degree rotation X and Y coordinate swap and X coordinate changes its sign
Rotation of 90° (CounterClockwise) (x, y) ----->(-y, x)
In the problem 10-4=6 what’s the correct term for the number 4?
A. Product
B. Difference
C. Minuend
D. Subtrahend
Answers
Answer:
D. subtrahend
a quantity or number to be subtracted from another. so, 4 is the number which is to be subtracted from 10.
hope this answer helps you!
please mark this answer as the brainliest.. thank you!
Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?
Maximum
________________
Q1 (1st Quartile):???
Q2 (Median): ????
Q3 (3rd Quartile):????
What is the Maximum:???
Answers
Answer: Q1 10 Q216 Q3 8
Step-by-step explanation:
BECAUSE I THIK THAT IS THE ANSWER
Find the surface area of this triangular prisim.And pls expliane how you got that answer aswell pls.:)
Answers
Answer:
[tex]756^{2}[/tex]
Step-by-step explanation:
To get the area of the triangle sides, we use the formula [tex]\frac{bh}{2}[/tex]
In words, this is base · height ÷ 2
After using this formula we find the surface area of the triangle sides is 54
Of course because there are two sides, we do 54 + 54 = 108
For the base of the prism, we do 12 · 18, which equals 216
For the back, we do 9 · 18, which equals 162
For the top, we do 15 · 18, which equals 270
Now that we have the individual areas of all the faces, we add them together. Doing this, we get [tex]756^{2}[/tex]
consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).
Answers
Answer:
That is the pythagorean theorem.
2x^2 + 16x + 28 = 0?
Answers
Answer:
[tex]x=-4+\sqrt{2}[/tex]
[tex]x=-4-\sqrt{2}[/tex]
Step-by-step explanation:
The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,
[tex]ax^2 +bx + c=0[/tex]
The quadratic formula is the following,
[tex]\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}[/tex]
Substitute in the given coefficients for the following equation,
[tex]2x^2 + 16x + 28 = 0[/tex]
Substitute,
[tex]\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}[/tex]
The roots of the quadratic equation ([tex]2x^2+16x+28=0[/tex]) are ([tex]x=-4+\sqrt2[/tex]) and ([tex]x=-4-\sqrt{2}[/tex])
A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpires in calling balls and strikes. The article is based on data collected by MLB over eleven seasons (2008-2018). This study shows that it is common for umpires to make incorrect calls more than 20% of the time. An average game has about 300 pitches where the umpire has to make a decision. Assume that we take a random sample of 300 of the 4 million ball/strike calls in the database. From this sample of 300, there were 70 incorrect calls made for a sample proportion of.23. The question is does this one sample of size 300 with 70 incorrect calls provide sufficient evidence to allow us to conclude that the umpires are making bad calls at a rate greater than 20%?
Calculate the value of the Z test statistic using phat - 23 from the above description.
Answers
Answer:
The answer is "1.30".
Step-by-step explanation:
Proportion of population[tex]=0.20[/tex]
Ratio sample[tex]=\frac{70}{300}=\frac{7}{30}=0.23[/tex]
Statistics of the test:
[tex]\to Z=\frac{(0.23-0.2)}{\sqrt{(\frac{0.2\times(1-0.2)}{300})}}\\\\[/tex]
[tex]=1.30[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the remainder of (x^4 - 2) divided by (x + 1).
Answers
Answer:
-1 is the remainder
hope it helps
Answer:
-1 is the remainder for this problem.
Step-by-step explanation:
Plato.
Find the measure of <8
Answers
What is the measure of Arc BA? An explanation would be much appreciated.
Answers
Answer:
m<BA = 180degrees
Step-by-step explanation:
First you must know that measure of <BA is 180 degrees and m<CD = m<BA
Since <CD = 16z - 12, hence;
180 = 16z - 12
16z = 180++12
16z = 192
z = 192/16
z = 12
Get <BA
m<BA = 16z - 12
m<BA = 16(12) - 12
m<BA = 192 - 12
m<BA = 180degrees
Can somebody please help me?
2+2
Answers
Answer:
4 is the answer =)
What is the best way to learn percentage?
Answers
Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).
Step-by-step explanation:
An orange traffic cone has a diameter of 14 inches and a height of 28 inches. What is the volume of the traffic cone? Round to the nearest tenth.
Answers
Answer:
14367 inch^3
Step-by-step explanation:
Diameter of the cone= 14 inches
Radius of the cone= Diameter/2= 14/2= 7 inches
Height= 28 inches.
Volume of the cone = 1/3 π r^2 .h
Then substitute for the values, we have
Volume= 1/3 × π × 7^2 × 28
Volume= 1436.9 inch^3
Volume in nearest tenth= 14367 inch^3
Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
NO LINKS PLSSS
-will mark brainliest :)
Answers
Answer:
"yes" or "no"
Step-by-step explanation:
Faye has $3,000 that she is going to deposit into each of the two accounts as shown:
•Account A: 5% simple interest for 5 years
•Account B: will earn $828.84 over 5 years
Assuming Faye does not make any additional deposits nor withdrawals, find t combined amount of her two accounts after 5 years.
Answers
Answer:
Faye has $3,000 that she is going to deposit into each of the two accounts as shown:
•Account A: 5% simple interest for 5 years
•Account B: will earn $828.84 over 5 years
Assuming Faye does not make any additional deposits nor withdrawals, find t combined amount of her two accounts after 5 years.
Step-by-step explanation:
sub to sir sir bmgo ΔΔ
Two hundred and fifty-four people were surveyed regarding their favorite type of gemstone: 54% chose diamonds 6% chose sapphires 30% chose emeralds .. 10% rubies.Approximately, how many people did not choose emeralds or rubies?
Answers
Step-by-step explanation:
anyone GIRLS interested in talk...cuz I m getting bored
7 (n+4) = 21
Please help me solve this
Answers
Answer: n = -1
Step-by-step explanation: distribute 7 to n +4 to get 7n +28 = 21
subtract 28 on both sides, to get 7n= -7 divide by positive 7, and get n=-1
plug it in to check 7(-1+4)=21
-1+4= 3
7(3)= 21
it checks out ^_^