Answers
Answer:
AB = 10.77 units
Step-by-step explanation:
If the extreme ends of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex].
Then the length of the segment joining these extreme ends will be,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).
Measure of AB = [tex]\sqrt{(7+3)^2+(5-1)^2}[/tex]
AB = [tex]\sqrt{100+16}[/tex]
AB = [tex]\sqrt{116}[/tex]
AB = 10.77 units
Therefore, length of the segment AB will be 10.77 units.
Related Questions
−(−49) = −49 true or false?
Answers
I hope this helps you
false
cause two negative numbers multiple must be positive
(-1).(-49)
+49
The statement is false.
what is integers?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.
RULE 1: The product of a positive integer and a negative integer is negative.
RULE 2: The product of two positive integers is positive.
RULE 3: The product of two negative integers is positive.
Given:
−(−49) = −49
Is we use the properties of integer
(+).(+)= (+)
(-).(-)=(+)
(-).(+)=(-)
(+).(-)= (-)
So, the statement −(−49) = −49 is false because (-).(-)= (+)
Then, −(−49) = +49
Learn more about integers here:
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New codes to destroy the First Order are known to exist. With probability 0.6, the codes are hidden by Leia; with probability 0.4, they are hidden by Han Solo. When Leia hides the codes, she hides them with BB-8 70% of the time and with C-3PO 30% of the time. Han Solo is equally likely to hide them with BB-8 and C-3PO a. What is the probability that the codes are with BB-8? b. Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?
Answers
Answer: (a). 0.62 (b). 0.53
Step-by-step explanation:
Let us start by defining some events seen:
Given;
L rep the event that codes hidden Leia
BB represents the codes hidden in BB-8
H is the event that codes hidden by Hah
C-3PO rep the codes hidden in C3PO
Giving the probabilities, we have that
P(L) = probability that codes are hidden by Leia = 0.6
P(H) = probability that codes are hidden by Hah = 0.4
where P(BB/L) = 70/10 i.e 70%
P(C-3PO/L) = 1 - P(BB/L) = 1 - 7/10 = 3/10
Also, P(BB/H) = 1/2 = P(C-3PO/H)
We can say that Han Solo is likely to hide them in aceta BB-8 and C-3PO
To begin,
(a). The question tell us to find the probability that the codes are with BB-8.
First of all, we find P(BB).
P(BB) = P(L)*P(BB/L) + P(H)*P(BB/H)
solving this we get
P(BB) = 0.6*7/10 + 0.4*1/2 = 0.62
Therefore, the probability that the codes are with BB-8 = 0.62
(b). The second question says;
Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?
This tell us to find P(H/C-3PO)
P(H/C-3PO) = P(C-3PO/H)*P(H) / P(C-3PO/H) + P(C-3PO/L)*P(L)
inputting the values gives us;
P(H/C-3PO) = 1/2 * 0.4 / ( 1/2 *0.4 + 3/10 *0.6) = 0.53
SO we have that the probability the codes were hidden by Han Solo = 0.53
cheers I hope this was helpful!!
someone please help me with this.
Answers
Answer:
17
Step-by-step explanation:
What we have to realize is that RS + ST = RT. Since we know the value of all, let's substitute inside the equation.
[tex]23 - 2x + 9x - 5 = 39[/tex]
Now let's try and solve for x by isolating the variable on one side.
Combine like terms:
[tex]7x + 18 = 39[/tex]
Subtract 18 from both sides:
[tex]7x = 21[/tex]
Divide both sides by 7:
[tex]x = 3[/tex]
Now that we know the value of x, we can substitute it back into the equation for RS, [tex]23-2x[/tex].
[tex]23-2(3)\\\\23-6\\17[/tex]
Hope this helped!
Solve the equation [tex]\frac{x}{3} -5=15[/tex]
Answers
Answer:
The answer is
x = 60Step-by-step explanation:
[tex] \frac{x}{3} - 5 = 15[/tex]Send 5 to the right side of the equation
That's
[tex] \frac{x}{3} = 15 + 5[/tex][tex] \frac{x}{3} = 20[/tex]Multiply both sides of the equation by 3
We have
[tex]3 \times \frac{x}{3} = 20 \times 3[/tex]x = 20 × 3
We have the final answer as
x = 60Hope this helps you
-1/5-(-3/8)=?
I need a step by step to solve this equation
Answers
Answer:
7/40
Step-by-step explanation:
Simplify the following:
-1/5 + 3/8
Hint: | Put the fractions in -1/5 + 3/8 over a common denominator.
Put -1/5 + 3/8 over the common denominator 40. -1/5 + 3/8 = (-8)/40 + (5×3)/40:
(-8)/40 + (5×3)/40
Hint: | Multiply 5 and 3 together.
5×3 = 15:
(-8)/40 + 15/40
Hint: | Subtract the fractions over a common denominator to a single fraction.
-8/40 + 15/40 = (-8 + 15)/40:
(-8 + 15)/40
Hint: | Subtract 8 from 15.
-8 + 15 = 7:
Answer: 7/40
what is a histogram?
Answers
Answer:
A histogram is a graph that organizes a group of data points. A histogram graphically summarize the distribution of a univariate data set.
Write each ratio statement as a fraction and reduce to lowest terms if possible:
18 to 24 =
5 to 15 =
14:42 =
15 cents to 18 cents =
Answers
The answers are:
18 to 24 = [tex]\frac{18}{24} = \frac{3}{4}[/tex]
5 to 15 = [tex]\frac{5}{15} = \frac{1}{3}[/tex]
14:42 = [tex]\frac{14}{42} = \frac{1}{3}[/tex]
15 cents to 18 cents = [tex]\frac{15}{18} = \frac{5}{6}[/tex]
Explanation:
To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are [tex]\frac{18}{24}[/tex], [tex]\frac{5}{15}[/tex], [tex]\frac{14}{42}[/tex] , and [tex]\frac{15}{18}[/tex].
The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.
[tex]\frac{18}{24}[/tex] divide this by 6, which is equivalent to [tex]\frac{3}{4}[/tex]
[tex]\frac{5}{15}[/tex] divide this by 5, which is equivalent to [tex]\frac{1}{3}[/tex]
[tex]\frac{14}{42}[/tex] divide this by 14. which is equivalent to [tex]\frac{1}{3}[/tex]
[tex]\frac{15}{18}[/tex] divide this by 3, which is equivalent to [tex]\frac{5}{6}[/tex]
Find an equation of the plane that is parallel to the xz-plane and is located 25 units to the left of the xz-plane in standard perspective.
Answers
Answer:
y = 28
Step-by-step explanation:
Firstly, we will set y to be a constant. That is y= constant,j. The question directed us to "Find an equation of the plane that is parallel to the xz-plane and is located 28 units to the right of the xz-plane in standard perspective."
Recall that the value of y is equal to zero[0] for the xz plane. Therefore, as the question stated that the plane is located twenty-eight[28] units to the right, the required equation for the plane is equal to y = 28 which is the solution or answer to the problem.
PLEASE HELP ASAP it is my homework
Answers
Answer:
0.4
Step-by-step explanation:
The number of ways to select 3 points out of 5 points:
N1 = 5C3 = (5 x 4 x 3)/(1 x 2 x3) = 10
The number of ways to select 3 points out of 4 points that are already collinear:
N2 = 4C3 = (4 x 3 x 2)/(1 x 2 x 3) = 4
=> The probability of selecting 3 points that are collinear:
P = N2/N1 = 4/10 = 0.4
Good day, Harry!
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-x+1=x+5
O 2
O 3
O 6
O 12
Answers
How many inches are equivalent to 2 meters? Round your answer to the nearest tenth em Units The measurement 2 meters is equivalent to inches meters
Answers
Answer:
78.7
Step-by-step explanation:
2 m = 78.7402
Rounded to nearest tenth-
78.7
can you help me with these questions
Answers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
41. √20 = √4 * 5 = √4 * √5 = 2√5
43. The sum of interior angles in a triangle is 180°, therefore, x = 180 - (75 + 64) = 41°.
45. 15 + 5(2x - 3) = 15 + 5(2x) + 5(-3) = 15 + 10x - 15 = 10x
47. Complementary angles have a sum of 90°, therefore, x = 90 - 48 = 42°.
Using traditional methods it takes 98 hours to receive an advanced flying license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 200 students, the researcher decides to reject the null hypothesis at a 0.01 level of significance. What is the conclusion?
Answers
Answer:
We conclude that the new technique reduces the training time that it takes less than 98 hours to receive an advanced flying license.
Step-by-step explanation:
We are given that using traditional methods it takes 98 hours to receive an advanced flying license. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.
After performing the test on 200 students, the researcher decides to reject the null hypothesis at a 0.01 level of significance.
Let [tex]\mu[/tex] = mean time to receive an advanced flying license.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 98 hours
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 98 hours
Here, the null hypothesis states that it takes 98 hours to receive an advanced flying license.
On the other hand, the alternate hypothesis states the new technique may reduce training time that it takes less than 98 hours to receive an advanced flying license.
Now, it is stated that after performing the test on 200 students, the researcher decides to reject the null hypothesis at a 0.01 level of significance. This means we don't have sufficient evidence to support the null hypothesis as our test statistics will fall in the rejection region.
Therefore, we conclude that the new technique reduces the training time that it takes less than 98 hours to receive an advanced flying license.
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
Answers
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)[/tex]
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
[tex]4^n+17[/tex] is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so [tex]4^k+17[/tex] is divisible by 3
and we check what happens for k+1
[tex]4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17[/tex]
[tex]3\cdot 4^k[/tex] is divisible by 3 and
[tex]4^k+17[/tex] is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that [tex]4^n+17[/tex] is divisible by 3 for all positive integers n.
Thanks
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1 (All units are 1000 cells/μ L.)
Using the empirical rule, find each approximate percentage below.
What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 ?
What is the approximate percentage of women with platelet counts between 71.3 and 443.9 ?
a. Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.
(Type an integer or a decimal. Do not round.)
b. Approximately ____ % of women in this group have platelet counts between 71.3 and 443.9.
(Type an integer or a decimal. Do not round.)
Answers
Answer:
(a) Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.
(b) Approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.
Step-by-step explanation:
We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1
Let X = the blood platelet counts of a group of women
So, X ~ Normal([tex]\mu=257.62, \sigma^{2} =62.1^{2}[/tex])
Now, the empirical rule states that;
68% of the data values lie within the 1 standard deviation of the mean.95% of the data values lie within the 2 standard deviations of the mean.99.7% of the data values lie within the 3 standard deviations of the mean.(a) The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 is 68% according to the empirical rule.
(b) The approximate percentage of women with platelet counts between 71.3 and 443.9 is given by;
z-score of 443.9 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{443.9-257.62}{62.1}[/tex] = 3
z-score of 71.3 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{71.3-257.62}{62.1}[/tex] = -3
So, approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.
A first number plus twice a second number is 4. Twice the first number plus the second totals 17. Find the numbers
Answers
Answer:
10; -3
Step-by-step explanation:
Let's represent the first number with x, and the second number with y. Now let's write these two equations to find the numbers.
x + 2y = 4
2x + y = 17
We can solve using the substitution method:
x = 4 - 2y
2x + y = 17
2 (4 - 2y) + y = 17
8 - 4y + y = 17
-3y = 9
y = -3
Now plug the value of y in to find x:
x + 2y = 4
x + 2(-3) = 4
x + -6 = 4
x = 10
So, the first number is 10, and the second number is -3.
Cheers.
DVD cases are sold in packages of 15. Padded mailing envelopes are sold in packets of 4.
What is the least number of cases and envelopes you could buy so that there is one case for each
envelope with none left over?
The least number of cases and envelopes you could buy, so that there is one case for each envelope with
none left over, is cases and envelopes.
Answers
Answer:
Step-by-step explanation: you want to divide the price of eatch to the pacets???
If m<1 is three less than twice the measure of <2, and <1 and <2 are supplementary angles, find each angle
measure.
Answers
Step-by-step explanation:
Hey there!!
Let angle 2 be x then,
measure of angle 1 is three less than twice of angle 2 = 2x-3.
Now, we have.
Measure of supplementary angle is 180°.
Angle 1 + angle 2 = 180°
x+(2x - 3)= 180°
3x -3=180°
3x= 180°+3°
[tex]x = \frac{183}{3} [/tex]
Therefore, x = 61°.
Now, angle 2 = 61°
angle 1 = (61×2-3)= 119°.
check (119°+61°=180°).
Hope it helps...
A cohort study was conducted to examine the relationship between smoking and risk of lung cancer. Among 4000 smokers, 800 were eventually diagnosed with lung cancer and among 6000 non-smokers, 500 were eventually diagnosed with lung cancer. (Use this information to answer questions below)What was the relative risk of being diagnosed with lung cancer in this study?a. 0.08b. 0.13c. 0.20d. 0.40e. 2.40
Answers
Answer:
2.4
Step-by-step explanation:
Simplify the expression: 7h+2+4
Answers
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{7h + 6}}}}}[/tex]Step-by-step explanation:
[tex] \sf{7h + 2 + 4}[/tex]
Add the numbers
⇒[tex] \sf{7h + 6}[/tex]
Hope I helped!
Best regards!
Answer:
7h+6
Step-by-step explanation:
We are given the expression:
7h + 2 + 4
and asked to simplify.
In order to simplify an expression, we must combine like terms. In this expression, we have 2 constants, or terms without variables. The 2 constants and 2 and 4. Add 2 and 4.
7h + (2+4)
7h+6
There are no more like terms, so this expression is simplified.
The expression 7h+2+4 simplified is 7h +6
X + 7
2x - 3
Perimeter:
Area:
Answers
Answer:
P=6x+8
A=2x^2+11x-21
Step-by-step explanation:
Perimeter:
P=2(x+7)+2(2x-3)
P=6x+8
Area:
A=(x+7)(2x-3)
A=2x^2+11x-21
What is the square root of 190,290,390,545
Answers
Answer:
Step-by-step explanation:
Answer:
190 = 13.78
290 =17.02
390 = 19.74
545 = 23.34
Step-by-step explanation:
if you need simplest ratical let me know
Which of the following rewrites shows the correct process for completing the square? A. 4x^2+9x+5=0 rewritten as 4x^2+9x+81/4=-5+81/4 B. 4x^2+12x+7=0 rewritten as x^2+3x+9/4=-7/4+9/4 C. 3x^2-6x-4=0 rewritten as x^2-2x+1=4+1 D. 2x^2-8x-9=0 rewritten as 2x^2-8x+16=9+16
Answers
Answer: B
Step-by-step explanation:
ax² + bx + c = 0 is rewritten as x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²
A) 4x² + 9x + 5 = 0 --> x² + (9/4)x + (9/8)² = -5/4 + (9/8)²
= x² + (9/4)x + 81/64 = -5/4 + 81/64
B) 4x² + 12x + 7 = 0 --> x² + (12/4)x + (12/8)² = -7/4 + (12/8)²
= x² + 3x + 9/4 = -7/4 + 9/4 <---- this works!
C) 3x² - 6x - 4 = 0 --> x² + (-6/3)x + (-6/6)² = 4/3 + (-6/6)²
= x² - 2x + 1 = 4/3 + 1
D) 2x² - 8x - 9 = 0 --> x² + (-8/2)x + (-8/4)² = 9/2 + (-8/4)²
= x² - 4x + 4 = 9/2 + 4
Answer:
B
Step-by-step explanation:
its the correct answer :)
when bisecting an angle, why must The Arc be drawn in the interior of the angle?
Answers
Answer:
It depends on the measure of the angle you are talking about
A deposit of $200 is made in an account at the beginning of each month at an annual interest rate of 3% compounded monthly. The balance in the account after n months is An = 200(401)(1.0025n ? 1).(Round your answers to two decimal places.)
(a) Compute the first six terms of the sequence {An}.
A1 = $
A2 = $
A3 = $
A4 = $
A5 = $
A6 = $
(b) Find the balance in the account after 5 years by computing the 60th term of the sequence.
A60 =
(c) Find the balance in the account after 15 years by computing the 180th term of the sequence.
A180 =
Answers
Complete questions:
A deposit of $200 is made in an account at the beginning of each month at an annual interest rate of 3% compounded monthly. The balance in the account after n months is An = 200(401)(1.0025^n - 1).(Round your answers to two decimal places.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the amount of balance in an account after. 'n' months using the eqation:
An = 200(401)(1.0025^n - 1)
(a) Compute the first six terms of the sequence {An}.
A1 = 200(401)(0.0025) = $200.50
A2 = 200(401)(1.0025^2 - 1) = $401.50
A3 = 200(401)(1.0025^3 - 1) = $603.00
A4 = 200(401)(1.0025^4 - 1) = $805.01
A5 = 200(401)(1.0025^5 - 1) = $1007.53
A6 = 200(401)(1.0025^6 - 1) = $10210.54
B) balance 5 years after n = 5 * 12 = 60
A60 = 200(401)(1.0025^60 - 1) = $12,961.67
C.) balance 15 years after ; n = 15 * 12 = 180
A180 = 200(401)(1.0025^180 - 1) = $45,508.02
joseph wants to find the side length of a square that has an area of 150 feet. Should his answer be rational or irrational ? why ?
Answers
Answer:
i dont what it is can u tell me
Step-by-step explanation:
The length side is not a integer. Therefore, The answer is irrational.
What is the area of a square?The area of a square is given by the formula
A = side x side
In this problem we have
A = 150 square feet.
Now, substitute in the formula
150 = side^2
Now, take the square root both sides
side = √150
Then simplify
side = 5√6 feet
Remember that; A Rational Number is a number that can be made by dividing two integers. soThe length side is not a integer
Therefore, The answer is irrational.
Learn more about the area;
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A carpenter needs to cut a 5-foot, 8-inch piece of wood form an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the door
Answers
Answer:
The left over wood in foot is 2.34 foot
or 2 foot 4 inch
Step-by-step explanation:
This problem desires to test our unit conversion skills
Step one: let us work with foot and convert inches to foot.
The total wood is 8 foot, and we are expected to subtract 5 foot 8 inches from it.
converting 8 inches to foot we have
1 inch -----0.0833333 foot
8 inch-----x foot
cross multiplying we have
x= 8*0.0833333
x= 0.66 foot
Hence the total number of wood to be subtracted in foot is 5.66 foot
i.e 8-5.66= 2.34 foot
The left over wood in foot is 2.34 foot
or 2 foot 4 inch
if you bought a stock last year for $59 and it risen 13% how much is the stock worth now
Answers
the corresponding amount in a 13% increase is: (59 * 13): 100 = $ 7.67
so the current stock price is: 59 + 7.67 = $ 66.67
translation to an equation and solve. Let x be the unknown number. 120% of what number is 60? Type an integer or a decimal.
Answers
Answer:
72
Step-by-step explanation:
120% × 60 =
(120 ÷ 100) × 60 =
(120 × 60) ÷ 100 =
7,200 ÷ 100 =
hopefully this helped
1) Let A = {x,y,z}. Give a function f : A → A which is neither constant nor the identity function 1A. (2) Give a function g : R → {−1,0,1} which is not constant. (3) Give a function h : Q → Z whose image is Z.
Answers
Step-by-step explanation:
and go outside take fresh air you breathe you get answers constrate answer