Answers
Answer: Choice A) [tex]3 \sqrt{26}[/tex]
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Work Shown:
[tex]\text{The two points are } (x_1,y_1) = (6,7) \text{ and } (x_2,y_2) = (3,-8)\\\\d = \text{Distance between } (x_1,y_1) \text{ and } (x_2,y_2)\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} = \text{Distance Formula}\\\\d = \sqrt{(6-3)^2+(7-(-8))^2}\\\\d = \sqrt{(6-3)^2+(7+8)^2}\\\\[/tex]
[tex]d = \sqrt{(3)^2+(15)^2}\\\\d = \sqrt{9+225}\\\\d = \sqrt{234}\\\\d = \sqrt{9*26}\\\\d = \sqrt{9}*\sqrt{26}\\\\d = 3\sqrt{26}\\\\[/tex]
When going from 234 to 9*26, the idea here is to factor where one factor is the largest perfect square possible. That way we can use the rule [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex] to break up the root and simplify.
Related Questions
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.
Answers
Answer:
Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Step-by-step explanation:
From the question we are told that
The population proportion is p=0.4
The sample size is n = 39
The sample proportion is [tex]\^ p = 0.43[/tex]
Generally for normal approximation to be used
[tex]np > 10[/tex]
so np = 39 * 0.4 = 15.6 > 10
and [tex]n(1- p) > 10[/tex]
so n(1-p ) = 39(1-0.4) = 23.4 >10
Given that the both condition is meet it mean that it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compounded semiannually. If she makes no other deposits or withdrawals: what is the amount in the account after 2 1/2years?
Answers
Answer:
225776
Step-by-step explanation:
Trust me i got it right.
70 + x + 55 + 30 = 180
Answers
Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.
[tex]70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25[/tex]
We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
Answer:
25. Hope this helps :)
Step-by-step explanation:
180-70=110
110-55=55
55-30=25
Your missing answer would be 25
X=25
Joe makes $3.50 per hour working at a convenience store. If he gets a bonus of $25 this
week, how many hours must he work to make at least $165?
Answers
Answer:
40
Step-by-step explanation:
Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165
what is 8 times 0.9 equal
Answers
Answer:
7.2
Step-by-step explanation:
In a certain college,20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 7 belong to an ethnic minority?
Answers
Answer:
0.000786432
Step-by-step explanation:
In a certain college,20% of the physics majors belong to ethnic minorities
The proportion p = 20%
= 0.2
q = 1 - 0.2 = 0.8
1f 10 students are selected at random from the physics majors
n = 10
x = 7
The formula for Binomial Probability is
= nCx × p^ x × (1−p)^ n−x .
= 10C7 × p⁷ × (0.8) ^10 - 7
= 0.000786432
The probability that exactly 7 belong to an ethnic minority is 0.000786432
Rosa believes she can use a division expression to find the cost per pound of ground beef when 2/3 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word. B. Rosa is correct in using a division expression because the cost per pound should be less than $4. C. Rosa is incorrect in using a division expression because ""cost per pound"" refers to the product of the price and weight. D. Rosa is incorrect in using a division expression because the cost per pound must be an integer.
Answers
Answer: A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word.
Step-by-step explanation:
The term ; Cost per pound can be interpreted mathematically to mean;
Cost / pound ; where per means division. In the context above ;
cost per pound = cost of 1 pound of an item ;
(Stated Cost of the item ÷ pound of the item at the stated cost)
For the question above ;
2/3 pounds of ground beef cost $4;
Cost per pound = cost of 1 pound of ground beef ;
= $4 ÷ (2/3)
= $6
Hence, 1 pound of ground beef cost $6
Answer:
so the answer is a. 1/25 hope this helps can my reward be brainlest???
Step-by-step explanation: What is the result of 5 divided by one-fifth?
5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.
StartFraction 1 Over 25 EndFraction
One-fifth
1
25
What is the solution to the system shown here?
x + y 25
x + y = 5
Answers
Answer:
no solution (parallel lines )=1/1=1/1=5/1
Step-by-step explanation:
The perimeter of a rectangular outdoor patio is 66 ft. The length is 3 ft greater than the width. What are the dimensions of the patio?
Answers
Answer:
width = 15 ft
length = 18 ft
Step-by-step explanation:
lets assume the width is w, and length is l.
For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:
2w+2l= 66
for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:
w+3 = l
Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:
2(w+3) + 2w = 66
Distributive property:
2w+6+2w = 66
which is equal to:
4w+6 = 66
which finally is:
w=15 ft.
Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:
L = 18 ft.
State the domain of the following mapping
Answers
Answer:
where's the map
Step-by-step explanation:
PLEASE HELP I HAVE TO GET THIS DONE
Answers
Answer: so the answer is A
Step-by-step explanation: -3/2
if you ever have a question like that again go to Math-way it is every helpful and easy.
Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15
Answers
Answer:
8/15
Step-by-step explanation:
-4/5 ÷ -3/2
Copy dot flip
-4/5 * -2/3
Multiply the numerators
8
Multiply the denominators
15
Put the numerator over the denominator
8/15
Answer: 8/15
Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.
ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need
Answers
You would need 3/4 cups of water.
Whats 27.16 - 3.1 x 1.4 evaluated?
PLEASE HELP
Answers
Answer:
22.82
Step-by-step explanation:
can u plz mark me as brainliest??
Answer:
22.82
Step-by-step explanation:
3.1*1.4 = 4.34
27.16-4.34 = 22.82
[edited, I messed up the order of operations before, sorry]
Calculate.
(2x105)(4.3x109)
Write your answer in scientific notation.
Answers
Answer:
9.8427x10⁴
Step-by-step explanation:
Answer:
98427x^2
9.8427x10^4
Step-by-step explanation:
what is the answer for 14x divided by 7x
Answers
Answer:
2x
Step-by-step explanation:
You're dividing 14 multiplied by a number by 7 multiplied by a number. So you'd get 2 multiplied by a number.
The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.
The area is m?
Answers
Answer:
[tex]Area = 270m^2[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}bh[/tex]
[tex]b = 18m[/tex]
[tex]h = 30m[/tex]
Required
Solve for A
Simply substitute 18 for b and 30 for h
[tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2} * 18 * 30[/tex]
[tex]A = 270[/tex]
Hence:
The area is
[tex]Area = 270m^2[/tex]
2
Divide: 4:- =
5
HELP FAST!!!!!!!!!
Answers
10/4 if its right also have a good my dude
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other
person walks at 3 mph. In how many hours will they be 1.25 miles apart?
Answers
Answer:
0.25hoursStep-by-step explanation:
Data
speed v1=8mph
speed v2=3mph
distance= 1.25
time t=?
speed= distance/time
distance=speed*time
1.25=8*t-3*t
1.25=8t-3t
1.25=5t
t=1.25/5
t=0.25hours
In minutes it is 15min
What is the measure of an exterior angle of a regular 14-sided polygon? Enter your answer as a decimal in the box. Round to the nearest tenth of a degree.
Answers
Answer:
21.715 degrees.
Step-by-step explanation:
There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.
In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?
Answers
Answer:
about 37.31 inches of space
Step-by-step explanation:
In this case, you would need to find the area of a cylinder with these dimensions.
Formula: 2πrh+2πr²
The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.
2π(1.25)(3.5)+2π(1.25)²
2π4.375+2π1.5625
8.75π+3.125π
37.3064128
about 37.31 inches of space
455.4 is 66% of what number
Answers
Answer:
690
Step-by-step explanation:
When five times a number is decreased by 9, the result is 11. What is the number?
Answers
Answer
4
Step-by-step explanation:
Add 9 to 11, then divide that by 5.
Answer:
4
Step-by-step explanation:
work backwards 11+9 is 20. Divide 20 by 5 = 4
What number must be added to 101 to produce a number equal to the product of 101 x 21
Answers
Answer:
2020
Step-by-step explanation:
101 • 21 = 2121
2121 - 101 = 2020
solve for a in the figure shown.
Answers
Answer:
40
Step-by-step explanation:
110+30=140
but a full triangle should equal 180
so 180-140=40
140+40=180
brainlist if you can pls :>
rewrite the equation 10=1,000 with an exponet that makes it true .
Answers
hope this helps :)
Answer:
[tex]10^3=1,000[/tex]
Step-by-step explanation:
The expression 10=1,000 is obviously false, but we can make it true by rewriting it with an exponent.
Note that 1,000=10*10*10
Or, equivalently:
[tex]1,000=10^3[/tex]
Thus, if we modify the original false expression and add an exponent 3 to the base 10, then it would be true:
Original:
10=1,000 => false
Rewritten true:
[tex]\boxed{10^3=1,000}[/tex]
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8). M(1,6), S(-2,-6), T(2, 10) plz help!!!
Answers
Answer:
they are neither
Step-by-step explanation:
because if you connect the dots they are neither parallel or perpendicular
X+ 2 = 5 and y-3 = 2
Answers
Answer:
x=3
y=5
because 5-2=3 so 3 is x
and 2+3 is 5 so y is 5
Answer:
X = 3, Y =
Step-by-step explanation:
This is because 2+3=5,
and5-3=2
Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.
Answers
Answer:
-Equations:
AA=75+2x
AA=75+2x
-Company A would be cheaper.
Step-by-step explanation:
-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
AA=75+2x
AA=75+2(45)
AA=75+90
AA=165
-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
BB=35+3x
BB=35+3(45)
BB=35+135
BB=170
According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.
Complete the following proof.
Answers
Answer:
BD = CA ⇒ Proved down
Step-by-step explanation:
From the given figure
∵ AB and CD are diameters in circle O
∴ OB = OA = OC = OD ⇒ radii
∵ AB ∩ CD at O
∴ ∠BOD and ∠COA are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠BOD = m∠COA
→ In Δ OBD and Δ OCA
∵ m∠BOD = m∠COA ⇒ vertically opposite angles
∵ OB = OC ⇒ radii
∵ OD = OA ⇒ radii
∴ Δ OBD and Δ OCA are congruent by SAS postulate
→ From congruency
∴ BD = CA