Answer:
C. -5
Step-by-step explanation:
If the two lines are parallel, they have the same slope. Therefore the slope of AB is -5.
Slope of line AB parallel to CD is -5
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
Given,
AB is parallel to CD
Slope of CD m = -5
When two lines are parallel
their slopes are same
m' is slope of AB
then
m' = m
m' = -5
Slope of AB is -5.
Hence, -5 is slope of line AB.
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The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month, x, that the instrument is rented. Witch expression represents the total cost of renting the instrument?
Answer:
y=65+ 30x
Step-by-step explanation:
Given data
Cost of rental= $65
Additional month= $30
The expression for the total cost for x months is
y=65+ 30x
can someone help me with this thank you
Answer:
324?
Step-by-step explanation:
I JUST NEED SOME HELP PLEASE!! ~0~
Find the RATIO and the EXACT VALUE of the given Tan B.
Answer:
Ratio: Tan B = 12/5
Exact value in degrees: [tex]67.38^{o}[/tex]
Step-by-step explanation:
SOH CAH TOA
Means Tan B means opposite/adjacent.
Tan B = 12/5
B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]
B = [tex]67.38^{o}[/tex]
Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is
Answer:
The 95% confidence interval for µ based on these data is (408,692).
Step-by-step explanation:
Sample mean and standard deviation:
The first step to solve this question is finding the sample mean and standard deviaton.
[tex]\overline{x} = \frac{550+620+480}{3} = 550[/tex]
[tex]s = \sqrt{\frac{(550-550)^2+(620-550)^2+(480-550)^2}{3}} = 57.1548[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 3 - 1 = 2
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 4.3027
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 4.3027\frac{57.1548}{\sqrt{3}} = 142[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 550 - 142 = 408
The upper end of the interval is the sample mean added to M. So it is 550 + 142 = 692
The 95% confidence interval for µ based on these data is (408,692).
What is the measure of angle R?
110°
140°
125°
70°
ASAP need help!!
vvvv
Answer:
Step-by-step explanation:
5 5 5 m²
the system of equations kx-5y = 2, 6x+2y = 7 has no solution, then k =
(a) -10 (b) -5 (c) -6 (d) -15
Answer:
(d) -15
Step-by-step explanation:
Given system of equations are:
[tex] \begin{cases}kx-5y=2\\\\6x+2y=7\end{cases}[/tex]
Since, given system of equations have no solution.
[tex] \therefore \frac{k}{6}=\frac{-5}{2} \neq\frac{2}{7}[/tex]
[tex] \implies \frac{k}{6}=\frac{-5}{2} [/tex]
[tex] \implies k=\frac{6(-5)}{2} [/tex]
[tex] \implies k=\frac{-30}{2} [/tex]
[tex] \implies k=-15[/tex]
When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?
Answer:
When the coefficient of the variable is negative, as shown below,
Step-by-step explanation:
2-4y>14
-4y>14-2
-4y>12, divde through by - 4
y>-3
Milk A small dairy sells milk to local grocery stores. 1.a gallon of milk weighs between 8 and 9 pounds Part A about how much ounces does a gallon of milk way? Explain your answer
Answer:
between 128 and 144 ounces
Step-by-step explanation:
Recall that 1 pound equals 16 ounces.
8 pounds is 128 oz; 9 pounds is `144 oz.
Therefore, a gallon of milk weighs between 128 and 144 ounces.
PLS HELP ASAP DUE TMR TY
Answer:
a=8/2
a=4
Step-by-step explanation:
Answer:
[tex]a = 4[/tex]
Step-by-step explanation:
[tex](2a) = 8[/tex]
[tex]a = \frac{8}{2} [/tex]
[tex]a = 4[/tex]
Hope it is helpful.....Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?
Answer:
232
Step-by-step explanation:
Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.
Answer:
Blue paint: 1, 2, 2.8, 10
Red paint: 2.5, 5, 7, 25
Step-by-step explanation:
constant of proportionality: 2.5
2.5x = y
I don’t understand how to do this . Any help would be appreciated thank you .
(B)
Step-by-step explanation:
Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:
sin 65 = opposite/hypotenuse
= (24 ft)/p
Solving for p,
p = (24 ft)/(sin 65°)
= 26.48 ft
Simplify each expression
Answer:
a) 2x + 6y + 7x
9x + 6y
b) 3a + 8b + 5a
8a + 8b
c) 6u + 3v - 2u
4u + 3v
d) 9p + 8q - p
8p + 8q
e) 2m + 5n + 4m + 3n
6m + 5n + 3n
6m + 8n
f) 6u + 9v + u + 3v
12v + 6u + u
12v + 7u
g) 8b + 7c + 3b - 2c
8b + 3b + 5c
11b + 5c
h) a + 2b + a - b
2a + 2b - b
2a + b
i) 5a + 2b - 5a + 6b
8b + 5a - 5a
8a
h) 9p + 3q - 2p - 3q
7p + 3q - 3q
7p
pleaseeeee help meeeee i will mark you brainlesttttttttttttttttttttttt
Answer:
First you would see the picture and you would count how many people had less than 20 which is 18
brainliest
Step-by-step explanation:
I NEED HELP PLEASE PLEASE IN ALGEBRA!
Answer:
what is question?
Step-by-step explanation:
Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Work out the value of x
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]
The mean of set of a is:
[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]
[tex]Mean=\dfrac{564}{4}[/tex]
[tex]Mean=141[/tex]
The mean of set of b is:
[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
It is given that,
Mean of set a: mean of set b= 3:8
[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]
[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]
[tex]8\times 705=3\times (1453+x)[/tex]
[tex]5640=4359 +3x[/tex]
Isolate the variable x.
[tex]5640-4359 =3x[/tex]
[tex]1281 =3x[/tex]
Divide both sides by 3.
[tex]\dfrac{1281}{3} =x[/tex]
[tex]427 =x[/tex]
Therefore, the value of x is 427.
PLEASE HELP ME ACE THIS
angle a = ___ degrees
Angle B = ADC arc / 2
32 = ADC arc / 2
ADC arc = 2 × 32
ADC arc = 64
_________________________________
ADC arc + ABC arc = 360
64 + ABC arc = 360
ABC arc = 360 - 60 - 4
ABC arc = 300 - 4
ABC arc = 296
_________________________________
Angle D = ABC arc / 2
x = 296 / 2
x = 148
_________________________________
Angle A = x - 40
Angle A = 148 - 40
Angle A = 108 degrees
the coefficient in the term 7xy is
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.
It snowed 7.29 inches on Monday and 0.78 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?
Answer:
8.07 inches
Step-by-step explanation:
7.29+0.78=8.07
A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed on the line that tests the weight of the filled boxes and rejects any product outside the correct package weight. Historically, 90% of the product manufactured on this line is within the correct weight range. The sensor rejects boxes of incorrect weight 98% of the time. The sensor rejects boxes of correct weight 1% of the time. What is the probability that a correct weight box of cereal will get rejected by the sensor
Answer:
0.2%
Step-by-step explanation:
The given parameters are;
The percentage of product within the correct range = 95%
The percentage of the times the sensor reject boxes of incorrect weight = 98%
The percentage of the times the company reject boxes with correct weight = 1%
[tex]\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}[/tex]
We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2
FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01
FPR = 0.2/(0.2 + 9.8) = 0.02
TPR = 89.1/(89.1 + 0.9) = 0.99
TNR = 9.8/(9.8 + 0.2) = 0.98
P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))
Where;
P(C/A) = The probability that a correct weight package is accepted
∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776
The probability that a correctly weighed package is rejected, P(C/R), is given as follows;
P(C/R) = 1 - P(C/A)
∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%
The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%
Answer:0.9%
Step-by-step explanation:
good luck!!!
Thank for doing l love u
good job guys ik math is hard sometimes
what is the speed of the person from point c to point d?
Answer:
A
Step-by-step explanation:
we gots more babeyyy
I just need assistance, or put me in the right direction, something-
I've got till the end of the day, and this will determine my final grade
please help if you can
5x + 16 = ( 2x + 14 ) + 32
...............................................
This the clue and the right direction
You got this
The mean of three numbers is 10. The mode is 8. What are the three numbers?
Answer:
8, 8, 14
Step-by-step explanation:
Since 8 is the mode, it will appear the most. As there are 3 numbers, 8 will be two of them, so there are 2 8s.
To find the total of the numbers, do the mean multiplied by the amount of numbers, which is 10 times 3, which equals 30.
To find the last number, minus the two numbers you already have from the total, so 30-8-8=14
So the three numbers are 8,8,14.
Hope this helps! :)
On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.
The mean of the test that has a normal distribution is 55.
What is the mean of the test?Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:
49 = μ - 3σ equation (1)
59 = μ + 2σ equation (2)
To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:
49 + 59 = μ - 3σ + μ + 2σ
Simplifying, we get:
108 = 2μ - σ
We can also solve for σ by subtracting equation (1) from equation (2) to get:
59 - 49 = μ + 2σ - (μ - 3σ)
Simplifying, we get:
10 = 5σ
Therefore, σ = 2.
Substituting this value of σ into the equation we found earlier, we get:
108 = 2μ - σ
108 = 2μ - 2
Solving for μ, we get:
2μ = 108 + 2
2μ = 110
μ = 110/2
μ = 55
Therefore, the mean of the test is 55.
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Select all the expressions which are equivalent to –43
4
3
p – 25
2
5
.
–43
4
3
p + 25
2
5
–25
2
5
– 43
4
3
p
43
4
3
p – 25
2
5
–43
4
3
p + (–25
2
5
)
25
2
5
+ 43
4
3
p
Answer:
–43p + (–25) is Equivalent to –43p – 25.
Step-by-step explanation:
Needed: 25 – 43p , 25 – 4 , p 3. –25p –43 , –43p + (–25)
HELP WILL GIVE BRAINLY PLZ DONT SKIP
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly
chosen student took Form B and did not pass? Show ur work/explain in words what you did
A. 0.055
B 0.195
C. 0.305
D. 0.390
Answer:
C. 0.305
Step-by-step explanation:
100 - 39 = 61
.5 x .61 = .305
30.5%
If ABC and EDC are similar, what is the value
of x?
A
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
BC/DC = EC/AC , substitute values
3x×5/32 - 5x-5/56 ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
A fraction Equivalent 4/6 and has the denominator 3
Answer:
7
Step-by-step explanation:
Answer:
the answer is 2/3
hope this helps
have a good day :)
Step-by-step explanation: