Answer:
5
Step-by-step explanation:
We will solve using the Pythagorean theorem.
The difference in the x value is 4. The difference in the y value is 3. A nice, easy to remember, right angle triangle has sides of three, four, and a hypotenuse of five.
But we were lucky here that we could do this in our heads and from memory: 3² + 4² = 5²
The general formula would be:
distance² = (∆x)² + (∆y)²
distance = √[ (14-10)² + (5-2)² ]
= √[ 4² + 3² ]
= √[ 16 + 9 ]
= √[ 25 ]
= 5
Solving the following system using any method.
−3x+y=5
−2y=−6x+10
Answer:
No solution
Step-by-step explanation:
see the steps below:)
A teenager earns $10 for every 600 square feet mowed in addition to $12 for supplies for each lawn he mows. Which function represents y, the teenager’s pay when he mows a lawn that is x square feet in size?
y = 10x + 600
y = 10x + 12
y = 1/60x + 12
y = 1/60x + 1/60
Answer: b
Step-by-step explanation: 600 is the total so, just do 10x and 12
jucinta has two blue marbles 4 red marbles and five green marbles in the bag of the marbles are the same size she will select one marble from the bag without looking what is the probability that Justina will select green marble write your answer as a fraction
Answer:
2+4+5 = 11. since there are 5 green marbles the answer is 5/11
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answer:
Step-by-step explanation:
cosine W=9/41
Answer:
cos W = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cos W = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{WY}{XW}[/tex] = [tex]\frac{9}{41}[/tex]
What times 4 gives me 1/5
Answer:
0.05
Step-by-step explanation:
Because 1/5 divided by 4 gives you 0.05 or 1/20
ten more than x times 6 is 11 more than y times 4
Answer:
6x+10 = 4y+11
Step-by-step explanation:
6x+10 = 4y+11
The slope intercept form is:
y = 3/2x-1/4
Every 10th student was chosen from the cafeteria line to answer a question about pets. This is an example of:
A)Simple Random Sample
b)Convenience Sample
C)Systematic Random Sample
D)Voluntary Response Sample
Answer:
C)Systematic Random Sample
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this case:
Every kth element(in this exercise 10th) is systematic sample. So the answer is given by option c.
Park View Apartments has 2 buildings Each building has 3 floors Each floor has
16 windows What is the total number of windows in the Park View Apartment
buildings?
Answer:
96
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints
(5, -3) and (-7, -7).
are
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where the endpoints are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3, etc.)1) Determine the midpoint of the line segment
When two lines bisect each other, they intersect at the middle of each line, or the midpoint.
[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex](\frac{5+(-7)}{2} ,\frac{-3+(-7)}{2} )\\(\frac{-2}{2} ,\frac{-10}{2} )\\(-1,-5)[/tex]
Therefore, the midpoint of the line segment is (-1,-5).
2) Determine the slope of the line segment
Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex]\frac{-7-(-3)}{-7-5}\\\frac{-7+3}{-7-5}\\\frac{-4}{-12}\\\frac{1}{3}[/tex]
Therefore, the slope of the line segment is [tex]\frac{1}{3}[/tex]. The negative reciprocal of [tex]\frac{1}{3}[/tex] is -3, so the slope of the perpendicular is -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
3) Determine the y-intercept of the perpendicular bisector (b)
[tex]y=-3x+b[/tex]
Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into [tex]y=-3x+b[/tex] and solve for b:
[tex]-5=-3(-1)+b\\-5=3+b[/tex]
Subtract 3 from both sides
[tex]-5-3=3+b-3\\-8=b[/tex]
Therefore, the y-intercept of the line is -8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x-8[/tex]
I hope this helps!
a water tank is filled with 10 gallons of water in 2 minutes. what is the volume of the water, in gallons, that is in the tank in 1 minute?
Answer:
5 gallons of water in 1 minute
GUYS HELP PLS
You have 100ml of a solution that has a strength of 10mg/50ml.
This is diluted with a further 100ml of water.
How strong is the solution now per 50ml?
Carlos is making a model pyramid for a history project. A net of his pyramid is
shown. What is the lateral surface area of the pyramid?
9514 1404 393
Answer:
60 cm²
Step-by-step explanation:
The lateral surface area is the area of the four blue triangles. Each one has an area of ...
A = 1/2bh
A = 1/2(6 cm)(5 cm) = 15 cm²
The lateral surface area is 4 times the area of one triangle, so is ...
LA = 4(15 cm²) = 60 cm²
math Question Help to solve Multiple Choice
Answer:
B. 49
Step-by-step explanation:
f(7) = 7² = 49
_______
A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are:
Answer:
The null hypothesis is [tex]H_0: \mu = 16.1[/tex].
The alternate hypothesis is [tex]H_1: \mu < 16.1[/tex]
Step-by-step explanation:
A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces.
This means that at the null hypothesis, we test if the mean amount of juice is of 16.1, as claimed, that is:
[tex]H_0: \mu = 16.1[/tex]
A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.
This means that at the alternate hypothesis, we test if the mean amount of juice is less than the claimed mean of 16.1 ounces. So:
[tex]H_1: \mu < 16.1[/tex]
i have a lot of work but anyone know the answer to this one pls
Answer:
0.24
Step-by-step explanation:
Convert [tex]\frac{6}{25}[/tex] into decimal
which will give 0.24
what are prime factors i cant understand
Find the Z-scores that separate the middle 22% of the distribution from the area in the tails of the standard normal distribution.
The Z scores are _____?
Find the value of z a The value of α = 0.27
The value of z 0.27 is _____
Find the Z-score such that the area under the standard normal curve to the left is 0.33
_____ is the z - score such that the area under the curve to the left is 0.33.
Answer:
0.279
0.613
-0.44
Step-by-step explanation:
The Zscore that seperates the middle 22% of the distribution ; could be obtained thus. The midpoint is the mean and the probability to either the right or left could be obtained.
To obtain the Zscore that seperates the middle 22% is equivalent to :
The probability to the left of the distribution :
P(x < (0.5 + 0.22/2) = p(x < 0.61)
Using the Z probability calculator :
P(x < 0.61) is equivalent to a Zscore of 0.279
α = 0.27
Z(1 - α) = Z(1 - 0.27) = Z0.73 = p(Z < 0.73) = 0.613
P(x < 0.33) = - 0.44 (Z probability calculator)
CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. 39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44 Click here for the Excel Data File (a) Find the mean, midrange, geometric mean, and 24 percent trimmed mean. (Round your answers to 2 decimal places.)
Answer:
Mean = 31.22
Midrange = 28.50
Geometric mean = 28.74
Trimmed mean = 31.56
Step-by-step explanation:
Given the data :
39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44
Ordered data :
9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48
The mean, xbar :
Xbar = Σx / n = 999 / 32 = 31.22
The midrange : (maximum - minimum) / 2
Midrange = (48 + 9) / 2 = 57 / 2 = 28.5
Geometric mean :
(x1*x2*.. xn)^1/n
Geometric mean = (x1*x2*.. xn)^1/32 = 28.74
24% trimmed mean :
24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.
Data left :
24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42
Σx / n = 505 / 16 = 31.5625
Trimmed mean = 31.56
PLS ANSWER ASAP!!person with correct answer will be marked brainliest
Answer:
114
Step-by-step explanation:
angle one is vertical opposite angle and also angle on a straight line
During a school event Mario is selling pizza at a stand for $ 2.50 per slice. How many slices of pizza would Mario have to sell to earn $195? Explain your reasoning.
Answer:
78 slices
Step-by-step explanation:
195/2.5=78
Answer:
78
Step-by-step explanation:
195/2.5=78
he will need to sell 78 pizzas in order to get $195
okay so a circle has half a line of 11 in. , what's the circumference and area?? i'm not good at math and so confused
Answer:
C = 69.12 in.
A = 380.13 in.²
Step-by-step explanation:
Circumference of a circle is the length around the circle.
Circumference, C = 2πr
where,
Radius (r) = 11 in. (Given)
To find the circumference, substitute r = 11 into the circumference formula
C = 2*π*11
Input this into your calculator, you would get:
C = 69.1150384
C = 69.12 in. (Approximated to nearest hundredth)
Area = πr²
Plug in the value of r
A = π*11²
A = 380.132711
A = 380.13 in.² (to nearest hundredth)
Please Only jack2k can answer
Answer:
Larger number is 7, and the smaller number is 3. This is because 7 + 3 = 10, and 7 - 3 = 4.
Step-by-step explanation:
Prodigy perhaps???
Find the value of x in the figure.
A. 18
B. 33
C. 35
D. 41
Answer:
D 41
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180 degrees.
so, we have already 35 for one angle, that leaves 145 for the other two.
x + 2 + 2x + 20 = 145
3x + 22 = 145
3x = 123
x = 41
Help???? Pleaseeeeeeeee.
Answer:
(x-3.5)2=15.25Please help and if you can explain it please
Answer:
1) 1/3 2a)2/5 2b)1/2 2c)9/20
Step-by-step explanation:
1) A fair die has 6 sides (1,2,3,4,5,6) so there are 2 sides that are greater than 4. Probability is chance of occurance/total chances so 2/6 which simplifies to 1/3
2) The set is (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19, 20) The prime numbers in that set are (2,3,5,7,11,13,17,19)
a)So the probability that a prime number is picked is 8/20 which simplifies to 2/5
b) The odd numbers are (1,3,5,7,9,11,13,15,17,19) so probability of odd is 10/20 which simplifies to 1/2
c) The single digit numbers are (1,2,3,4,5,6,7,8,9) so the probability is 9/20
PLEASEEEEE HELPPPPP IM BEGGINGGGG. SOMEONE PLEASEEEEEEE
9514 1404 393
Answer:
3. (x, y) = (-1, -2)
4. (x, y) = (-8, 6)
Step-by-step explanation:
The equations are graphed in the attachments.
3. The equations of problem 3 are easily graphed using the slope and intercept. The second equation is ...
y = 2x
when solved for y.
__
4. The equations of problem 4 may be more easily graphed using the x- and y-intercepts. These are found by dividing the constant by the coefficients of x and y, respectively. Once the intercepts are plotted, a line can be drawn through them to make the graph of the equation.
Select the correct difference.
-3z^7- (-5z^7)
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .9370? a. .8264 b. – 1.53 c. 1.50 d. 1.96
Answer:
z₁(s) = - 1.53
Step-by-step explanation:
a) Value of z or z₁(s) area to the right is .9370
1 - 0.9370 = 0.063
Then if area to the left is 0.063 z₁(s) = - 1.53
Which phrase best describes this polygon?
convex hexagon
concave dodecagon
convex dodecagon
concave hexagon
The correct phrase which is best describes this polygon is,
⇒ Convex Hexagon
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
The figure of hexagon is shown.
Since, We know that;
All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards is called ''Convex Hexagon''.
Here, By graph of figure;
All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards.
Hence, The correct phrase which is best describes this polygon is,
⇒ Convex Hexagon
Thus, The correct phrase which is best describes this polygon is,
⇒ Convex Hexagon
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ7
Solve
8 (d+2) – 36 = 2 + 6(1 – d)
Answer:
d=2
Step-by-step explanation:
8(d+2)-36=2+6(1-d)
Expand the equation
8d+16-36=2+6-6d
Put like terms together
8d+6d = 2+6-16+36
14d= 28
Divide 14 on both sides to get the value of d
[tex] \frac{14d}{14} = \frac{28}{14} [/tex]
d=2