Answers
Answer:
2/3
Step-by-step explanation:
Find two points
(0,-2) and (3,0)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (0- -2)/(3-0)
= (0+2)/(3-0)
= 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
From the graph, we can see the line passes through the points (3,0) and (0,-2).
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].
The slope of the line that passes through these points is:
[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]
Related Questions
There are several vehicles in a parking lot. Some of them are motorcycles
(with 2 wheels), and some are cars (with 4 wheels). There are 10 vehicles in
the lot, and there are 32 wheels. How many vehicles of each type are in the
lot?
Answers
Answer:
There are four motorcycles and six cars.
Step-by-step explanation:
Let m represent the number of motorcycles and c represent the number of cars.
Since there are ten vehicles in total, the sum of the number of motorcycles and the number of cars must total ten. Hence:
[tex]m+c=10[/tex]
And since each motorcycle has two wheels and each car has four wheels and there are 32 wheels in total:
[tex]2m+4c=32[/tex]
Solve the system of equations. First, we can divide the second equation by two:
[tex]m+2c=16[/tex]
From the first equation, we can subtract c from both sides:
[tex]m=10-c[/tex]
Substitute:
[tex](10-c)+2c=16[/tex]
Simplify:
[tex]10+c=16[/tex]
Therefore:
[tex]c=6[/tex]
There are six cars.
Using the modified equation:
[tex]m=10-c[/tex]
Solve for m:
[tex]m=10-(6)=4[/tex]
So, there are four motorcycles and six cars.
true or false m angle 3 <m angle 6
Answers
Answer:
False
Step-by-step explanation:
If you see closely, Angle 3 is slightly smaller than Angle 6''
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Convert 64°F to °C (to the nearest tenth) using one of the following formulas: Fahrenheit to Celsius Celsius to Fahrenheit °C = (°F - 32) × 5/9 °F = 9/5 × °C + 32.
Answers
Answer:
20°C
Step-by-step explanation:
64-32 =32
32 ×5 =160
160/9 = 17.8
17.8 rounded to the nearest tenth is 20°C.
Somebody Please Help!!!
Answers
Step-by-step explanation:
11. shape 1 => A = ½×17×10=85m²
shape 2=> A = 17×9 =153 m²
total area = 238 m²
12. shape 1 => A = 7×3= 21 m²
shape 2=> A = 3×2 = 6 m²
total area = 27 m²
pls i need this one n i pass the class pls pls help me
Answers
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:
x/3 = 7.5/4.5
x = 3(7.5/4.5) . . . . multiply by 3
x = 5
PLEASE HELP ASAP PLSSSS !!!
Answers
Step by step below
Three fifths of the adults at a party are male.
There are 40 adults at the party.
How many of the adults are male?
Answers
If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less than the advertised weight of 466 g
Answers
Answer:
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
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.
N(489,6)
This means that [tex]\mu = 489, \sigma = 6[/tex]
What is the probability that the box will contain less than the advertised weight of 466 g?
This is the p-value of Z when X = 466. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{466 - 489}{6}[/tex]
[tex]Z = -3.83[/tex]
[tex]Z = -3.83[/tex] has a p-value of 0.000064
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
see the picture please!!
Answers
Answer:
the first one its true
y of A greater than the y of B
can someone help me please
Answers
=========================================================
Explanation:
The horizontal pieces are the parallel bases
b1 = 17 and b2 = 9
The height is always perpendicular to the base, so h = 8
The 4 ft portion won't be used in the next section, so we can ignore it.
---------
Plug the values mentioned into the trapezoid area formula below. Simplify.
A = h*(b1+b2)/2
A = 8*(17+9)/2
A = 8*26/2
A = 8*13
A = 104 square feet
We can abbreviate "square feet" into "sq ft" or "ft^2" without quotes.
----------
As another approach, you can split the trapezoid into 2 triangles and a rectangle in between. Then find the area of each small piece, and add up those smaller areas to get the final answer. You should get 104. If you go with this approach, then you will use the 4 ft portion to help find the horizontal length of the triangle on the right.
An unknown radioactive material is measured to have a half life of 3 months. When the material was first found, there was 2000mg. a) Write an equation that models the mass of the material, t months. b) Use your equation to determine the mass of material in 4 year c) Calculate around how many months it will take to have 750 mg left
Answers
Answer:
OK!!.
N=N(½)ⁿ
n= Time/half life
N=Remaining Mass
N°=Initial Mass or Mass before decay.
t= time taken to decay(Its in Months in this case)
t½= Half Life of the Material. This is the time taken to decay to half its initial value.
N°= 2000mg
a).Equation that Models this is
since n=t/t½
N=N°(½)ⁿ =
N=N°(½)^t/t¹'². This should be your answer.
b). We're asked to find the remaining mass of substance in 4years.
t= 4years
Our Half life is in Months... So we gotta convert or time t from year to Months too.
4yrs === 4x12 = 48Months.
N° was given as 2000mg
N=N°(½)^t/t½
N= 2000(½)^48/3
N=2000(½)^16
Using your calc to evaluate (½)^16... Then multiply by 2000
N=0.0305mg will remain after 4years.
Or After 16Half Lives since 1 half life is 3months
c). We're looking for t this time
N=N°(½)^t/t½
Since it asked for 750mg to remain ... 750 is now our N --- Remaining Mass
750 = 2000(½)t/3
To Isolate "t" and make it the subject
750/2000 = (½)^t/3
0.375 = (½)^t/3
Taking ln(natural log) of both sides
Ln(0.375) = Ln(0.5)^t/3
From the rule of logarithm...
You can bring the power (I.e t/3) to the front
You'll have
Ln(0.375) = t/3Ln(0.5)
Dividing both sides by Ln(0.5) to isolate t
Ln(0.375)/Ln(0.5) = t/3
t/3 = 1.415
t= 3x1.415
t=4.25months.
Have a great day.
Hope this helps... I'm open to questions if you have any too.
The difference between the measures of two complementary angles is 56 determine the measures of the two angles. The larger angle has a measure of? And the smaller angle has a measure of?
Answers
Answer:
Larger angle= 73, smaller angle= 17
Step-by-step explanation:
I wrote an equation, and x is the measure of one of the angles
90=2x-56
90+56=2x-56+56
146=2x
73=x
One of the angles is 73, so subtract 53 from 73 to find the second angle. 73+56=17
You can make sure it adds up to a complementary angle by seeing if 17+73=90
The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.
Robert, 1.11 Juan, 1.66 Susan, –1.9 Joel, 0.00 Jan, –0.65 Linda, 1.46
(a) Which of these students scored above the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(b) Which of these students scored on the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(c) Which of these students scored below the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(d) If the mean score was ? = 156 with standard deviation ? = 24, what was the final exam score for each student? (Round your answers to the nearest whole number.)
a. Janb. Joelc. Juand. Lindae. Robertf. Susan
Answers
Answer:
a)
b. Joel
c. Juan
d. Linda
b)
b. Joel
c)
a. Jan
f.Susan
d)
a. Jan: 140
b. Joel: 156
c. Juan: 196
d. Linda: 191
e. Robert: 183
f. Susan: 110
Step-by-step explanation:
Z-score:
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, positive z-scores are above the mean, negative are below the mean and 0 is 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.
Question a:
Robert, Juan and Linda had positive z-scores, so they scored above the mean, and the correct options are c,d,e.
(b) Which of these students scored on the mean?
Joel, which had a z-score of 0, so the correct option is b.
(c) Which of these students scored below the mean?
Jan and Susan had negative z-scores, so them, options a and f.
Question d:
We have that [tex]\mu = 156, \sigma = 24[/tex], so we have to find X for each student.
Jan:
Z = -0.65. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.65 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = -0.65*24[/tex]
[tex]X = 140[/tex]
b. Joel
Z = 0, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 0*24[/tex]
[tex]X = 156[/tex]
c. Juan
Z = 1.66, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.66 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 1.66*24[/tex]
[tex]X = 196[/tex]
d. Linda
Z = 1.46. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.46 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 1.46*24[/tex]
[tex]X = 191[/tex]
e. Robert
Z = 1.11. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.11 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 1.11*24[/tex]
[tex]X = 183[/tex]
f. Susan
Z = -1.9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.9 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = -1.9*24[/tex]
[tex]X = 110[/tex]
PLZ HELP ASAP
The white triangle drawn on the road sign in the picture has a height of 8 and a base of 5 which formula would be correct to find the area of this triangle
1) A= 1/2 (8) (5)
2) A=2(8)+2(5)
3) A=1/2(8+8)(5+5)
4) A=2(8)(8)+2(5)(5)
Answers
Answer:
[tex]\text{1) }\frac{1}{2}(8)(5)[/tex]
Step-by-step explanation:
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex]. Since we're given a base of 5 and a height of 8, the area is given by [tex]\boxed{\text{1) }\frac{1}{2}(8)(5)}[/tex].
Find the point-slope equation for the line that passes through the points (2, 1) and (-2, 5). Use the first point in your equation.
Answers
Answer:
y = -x +3
Step-by-step explanation:
first find the slope
m = (y2-y1) / (x2-x1)
m = (5-1) / (2--2) = -1
note that it does not matter which points you chose to be second or first
use point-slope equation
y - y1 = m ( x - x1 )
y - 1 = -1 ( x - 2)
y = -x +2 + 1
y = -x +3
please if you find my answer helpful mark it brainiest
Answer:
y=-x+3
Step-by-step explanation:
Gradient(m)= y1-y2÷x1-x2
=1-5÷2-(-2)
=-4÷4
=-1
therefore m= -1
y-y1=m(x-x1)
y-1=-1(x-2)
y=-x+2+1
y=-x+3
pls help me do this question but pls don't get it wrong this is my last attempt
Answers
Answer:
y ≤ 5
Step-by-step explanation:
5 is the highest y value in this graph. All other y values are below 5.
Solve the following equation algebraically show the steps:
n/3 -5 = 5
Answers
[tex]\longrightarrow{\green{ \: n = 30 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{n}{3} - 5 = 5[/tex]
➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]
➼ [tex] \: \frac{n}{3} = 10[/tex]
➼ [tex] \: n = 10 \times 3[/tex]
➼ [tex] \: n = 30[/tex]
Therefore, the value of n is 30.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \frac{30}{3} - 5 = 5[/tex]
✒ [tex] \: 10 - 5 = 5[/tex]
✒ [tex] \: 5 = 5[/tex]
✒ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Create a table to represent the function y=1/3x+4
Answers
Answer:
this is a linear equation. whatever value you set for x, you substitute and make a table that would probably look like this.
x | y
-------------|-----------
5 | 17/3 <------- what would y be if x is 5?
3 | 5 lets substitute x with 5
| y=1/3*5+4
| y=5/3+4
| y=17/3
12 ducks fly overhead. Each of 6 hunters picks one duck at random to aim at and kills it with probability 0.6. What's the expected number of hunters who hit the duck they aim at?
Answers
Answer:
The expected number of hunters who hit the duck they aim at is 3.6
Step-by-step explanation:
Given;
number of hunters, n = 6
the probability of killing a duck, p = 0.6
The expected number of hunters who hit the duck they aim at?
In binomial distribution, the expected value is equal to the product of the number of trials and the probability of success.
The expected number of hunters who hit the duck they aim at is calculated as follows;
E = np
E = 0.6 x 6
E = 3.6
Therefore, the expected number of hunters who hit the duck they aim at is 3.6
Suppose you have entered 115-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 9 miles per hour, and during your bicycle race, your average velocity is 22 miles per hour. You finish the race in 7 hours. What is the distance of the run? What is the distance of the bicycle race?
Answers
Answer:
The distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
Step-by-step explanation:
Since I have entered 115-mile biathlon that consists of a run and a bicycle race, and during my run, my average velocity is 9 miles per hour, and during my bicycle race, my average velocity is 22 miles per hour , and I finish the race in 7 hours, to determine what is the distance of the run and what is the distance of the bicycle race, the following calculations must be performed:
7 x 22 + 0 x 9 = 154
5 x 22 + 2 x 9 = 128
4 x 22 + 3 x 9 = 115
Therefore, the distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
Given that events A and B are independent with P(A) = 0.55 and P(B) = 0.72,
determine the value of P(AB), rounding to the nearest thousandth, if necessary.
Answers
Answer:
Step-by-step explanation:
For independent events,
P(AB)=P(A)orP(B)
= P(A)uP(B)
=P(A)×P(B)
= 0.55×0.72
P(AB)=0.396
PLEASE HELP! 10 POINTS! WILL GIVE BRAINLIEST!
The numbers of licensed drivers in four samples taken from a population of students are shown in the table below. Which of the following choices is most likely closest to the percentage of students in the population who are licensed drivers? Sample Size Number of Licensed Drivers 25 4 50 14 75 15 100 24 O A. 20% B. 24% C. 16% D. 28%
Answers
Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:
B. 24%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Higher sample sizes lead to more accurate estimates, hence the percentage is given by:
[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]
Which means that option B is correct.
More can be learned about percentages at https://brainly.com/question/10491646
#SPJ1
Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.
Which statement is true regarding triangle TUV?
Angle T is the smallest angle.
Angle V is the smallest angle.
Angles U and V must be equal.
Angles U and T must be equal.
.
Answers
9514 1404 393
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.
The shortest side name is TU. The smallest angle is not T or U; it is V.
Angle V is the smallest angle
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
Find the area of this shape!!
Answers
Answer:
if you assume one box as 1 m^2
then area of the shape is 54 m^2
but i am not sure if this is correct answer
5:Pretest 5 Spatial Thinking
A point P has coordinates (-5, 4). What are its new coordinates after reflecting point P over the x-axis?
(-5, 4)
(-5,-4)
(5-4)
(5, 4)
Answers
Given:
The coordinates of point P are (-5,4).
Point P is reflected over the x-axis.
To find:
The new coordinates after the reflection.
Solution:
If a point is reflected across the x-axis, then the rule of reflection is:
[tex](x,y)\to (x,-y)[/tex]
Using this rule, we get
[tex]P(-5,4)\to P'(-5,-4)[/tex]
The new coordinates of point P after the reflection over the x-axis are (-5,-4).
Therefore, the correct option is B.
The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls in Mr. Greene's after school club. There are 4 boys and 12 girls in Mr. Johnsons club. There are 6 boys in Mr. Greene's club. How many girls are in Ms. Greene's club?
Answers
Answer:
18 GIRLS
Step-by-step explanation:
1. Lets write a fraction (4 boys/12 girls)
[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]
2. Now lets plug the value in
[tex]\frac{6 \\boys}{x girls}[/tex]
3. In the original equation, the amount of girls is 3 times the amount of boys
4. multiply 6 and 3 = 18
5. 18 girls
Answer:
18 <3
Step-by-step explanation:
It takes Miguel 18 minutes to finish reading 4 pages of a book. How long does it take him to finish reading 30 pages
Answers
Answer: 135 minutes or 2 hours and 15 minutes
Step-by-step explanation:
4/18 = 30/ x
Solve for duh 'x'
Solve x2 + 13x + 22 = 0 using the quadratic formula.
Answers
x^2 + 13x + 22 = 0
( x + 11 )( x + 2 ) = 0
x = - 11 Or x = - 2
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answers
Answer:
Step-by-step explanation:
a)
The mean for ground floor is 20.67
The mean for balcony is 15.8
b)
the difference between the means is ground floor - balcony
20.67 - 15.8 = 4.87
You can talk about it yourself for part c
hich is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).
Answers
Answer:
B or graph 2
Step-by-step explanation:
when y = 0 then x = 6
when x = 0 then y = -3
find those points
Answer: b
question
hich is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).
