Answer:
[tex] y = \frac {4}{3}x - 2[/tex]
Step-by-step explanation:
Given the following data;
Points on the line (x1, y1) = (3, 2)
Slope, m = 4/3
To write the equation in slope intercept form;
First of all, we would determine the intercept of the line.
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
2 = 4/3(3) + c
2 = 4 + c
c = 2 - 4
c = -2
Therefore, the equation of line is y = 4/3x - 2
[tex] y = \frac {4}{3}x - 2[/tex]
Line l is parallel to line e in the figure below.
Parallel lines e and l are crossed by lines m and n to form 2 triangles. At the intersection of parallel line e with line n is angle q, and with line m is angle 3. Angle 2 is the third angle. At the intersection of parallel line l and m is 6, at line n is 4. The third angle is 5.
Which statements about the figure are true? Check all that apply.
Vertical angles prove that Angle 1 is congruent to angle 4.
Vertical angles prove that Angle 2 is congruent to angle 5.
The triangles are similar because corresponding sides are congruent.
The triangles are similar because alternate interior angles are congruent.
In the similar triangles, Angle 3 and Angle 6 are alternate interior angles.
In the similar triangles, Angle 3 and Angle 4 are corresponding angles.
Answer:
A B D
Step-by-step explanation:
correct.
Answer:
abd edge 2022
Step-by-step explanation:
At a coffee shop, the first 100 customers'
orders were as follows.
Small Medium Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a cold drink given that he or she ordered a large?
Rounded to the nearest percent, [? ]%
Answer:
Percentage = 6.8% or 7%
Explanation
cold = 25/100
Large = 27/100
large multiplied by cold = (25/100 x 27/100) / 25 x 27 = 0.0675 x 100
= 6.75%
Percentage = 7 %
or 6.8 % to 1dp
The probability is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Here the percentage that the customer ordered a cold drink is 5.5 %.
What is probability?Probability is the measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can only predict the chance of an event to occur. The probability of all the events in a sample space adds up to 1.
The value is expressed from zero to one. Here zero means the event is impossible.
Here the probability to select cold drink = 25 /100
The probability to select Large drink = 22 / 100
When we multiply both the probability, then it becomes:
25 /100 × 22 / 100 = 25 × 22 = 550 / 100 = 5.5 %
Thus the probability is 5.5 %.
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A segment is connected to two sides of a triangle so that it is parallel to the third side. What is the value of x?
Answer:
A
Step-by-step explanation:
Set up a ratio for the two triangles that are there.
x/(x + 10) = 20 / (20 + 8) Combine the two terms in the right denominator
x/(x + 10) = 20/28 Cross Multiply
28x = 20(x + 10) Remove the brackets on the right
28x = 20 x + 200 Subtract 20x from both sides
8x = 200 Divide by 8
x = 200 /8
x = 25
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has an approximate normal distribution with mean 50 and a standard deviation 10. Use the Empirical Rule to determine the approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70.
Answer:
The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 50, standard deviation = 10.
Between 20 and 70.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
20
20 = 50 - 3*10
So 20 is 3 standard deviations below the mean. Of the 50% of the measures below the mean, 99.7% are within 3 standard deviations of the mean, that is, above 20.
70
70 = 50 + 2*10
So 70 is 2 standard deviations above the mean. Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, that is, below 70.
Percentage:
0.997*50% + 0.95*50% = 97.35%
As a proportion, 97.35%/100 = 0.9735.
The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.
7*4/2*9/4+1/3*17
Jojocyosmith
Answer:
37.1666666667
Step-by-step explanation:
brainiest please
(x – y)(x2 – 3y – 5)
A sample of a radioactive substance decayed to 97% of its original amount after a year. (Round your answers to two decimal places.) (a) What is the half-life of the substance
Answer:
23 years
Step-by-step explanation:
Step 1: Calculate the rate constant (k) for the radioactive decay
A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.
ln [A]/[A]₀ = - k.t
k = ln [A]/[A]₀ / -t
k = ln 0.97 [A]₀/[A]₀ / -1 year
k = 0.03 year⁻¹
Step 2: Calculate the half-life of the substance
We will use the following expression.
[tex]t_{1/2}[/tex] = ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Multiply the divisor and dividend by 10.
Multiply the divisor and dividend by 100.
Divide the divisor and dividend by 10.
Divide the divisor and dividend by 100.
Answer:
B. Multiply the divisor and dividend by 100.
Step-by-step explanation:
Multiply by 100 to get rid of the decimal
Answer:
B. Multiply the divisor and the dividend by 100
Step-by-step explanation:
i did the question on a test
hurry please i don’t have much time
Answer:
The answer would be a) 4-2g
Step-by-step explanation:
Multiplying by one half is like dividing by 2!
8/2 = 4
and
4/2 = 2
It can't be b because you can't add 4g+2
It can't be c because you can't completely remove the 8/4
It can't be d because you didn't actually distribute
Which question will give data that has a measure of center and variation?
Which set of side lengths forms a right triangle?
O 2,3, 13
O 4,6, 10
O 9, 12, 18
O 15, 36, 39
Awnser:
9,12,18
Step-by-step explanation:
you have to add the smallest numbers together and it has to be greater that the greatest number.
9+12= 21
21>18
If f(x)=(x-1)^1/3 then what is f^-1(x)
Answer:
The answer is f−1(x)=1x13
Step-by-step explanation: hi
Which are solutions of the equation x^2-16=0? Check all that apply.
Answer:
+4, -4
Step-by-step explanation:
There are only two solutions to this equation.
=> x^2 - 16 = 0
=> x^2 - 4^2 = 0
=> (x+4) (x-4) = 0 {According to a^2 - b^2 = (a+b) (a-b)}
=> x = 4, -4
Answer:
x = 4
x = - 4
Step-by-step explanation:
Method 1: Quadratic Formula
Ignore the A before the ±, it wouldn't let me type it correctly.
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
x² - 16 = 0
a = 1
b = 0
c = - 16
[tex]x=\frac{-(0)±\sqrt{0^{2} -4((1)(-16))} }{2(1)}[/tex]
[tex]x=\frac{0±\sqrt{0 -4((1)(-16))} }{2(1)}[/tex]
[tex]x=\frac{0±\sqrt{0 +64} }{2(1)}[/tex]
[tex]x=\frac{0±\sqrt{64} }{2}[/tex]
[tex]x=\frac{0±8 }{2}[/tex]
Two separate equations
One must have a + (positive) and the other will have a - (negative).
[tex]x=\frac{0+8 }{2}[/tex]
[tex]x=\frac{8 }{2}[/tex]
x = 8 ÷ 2
x = 4
[tex]x=\frac{-8 }{2}[/tex]
x = - 8 ÷ 2
x = - 4
Method 2: Factoring
x² - 16 = 0
(x - 4)(x + 4) = 0
Two separate equations
x - 4 = 0
x + 4 = 0
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4
x + 4 = 0
x + 4 - 4 = 0 - 4
x = - 4
- Leona Bahr is paid a commission of 12% on all sales above $7,000 for the week. She is also paid a weekly salary of $380. What are her total earnings for a week in which her sales were $9,800?
Answer:
716
Step-by-step explanation:
9800-7000=2800 sales over 7000
2800 x .12=336 commission
380 (salary) + 336 (commission)=716 Total earnings
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Using Pythagoras theoram,
x²+6²= 10²
x²+36=100
x²=100-36 = 64
x²=64
x=√64
x=8
Option A
Can someone help me please
Answer:
-2.5
Step-by-step explanation:
We need to find the slope using and two points
m = ( y2 -y2)/(x2-x1)
= ( 25-20)/(-10 - -8)
= 5/( -10+8)
= 5/-2
- 2.5
A cooler contains twelve bottles of sports drink: three lemon-lime flavored, four orange
flavored, and five fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an
orange.
A).583
B).333
C).727
D).714
-5 3/4 - 3 1/2 i jut want to see who can solve it for me
Answer:
-2 1/4
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]-9\frac{1}{4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\-5\frac{3}{4}-3\frac{1}{2}\\------------\\\rightarrow -(5\frac{3}{4} +3\frac{1}{2})\\\\\rightarrow 5 + 3 = 8\\\\\rightarrow \frac{3}{4}+\frac{1}{2 } =\frac{3}{4}+\frac{2}{4} =\frac{5}{4} =1\frac{1}{4}\\\\\rightarrow -(8+1\frac{1}{4})\\\\\rightarrow -8-1\frac{1}{4}\\\\\rightarrow \boxed{-9\frac{1}{4}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
help pleaseeeeee !!!!
Answer:
P(10) = 26237[1 + 0.024]^10
Step-by-step explanation:
From the information given :
Initial population, P0 = 26, 237
Annual growth rate, r = 2.4%
Number of Years, n = 10
The general exponential growth relation is give as :
P(x) = P0(1 + r)^n
Where ;
P(x) = population after x years
P0 = Initial population
r = growth rate
n = number of years
P(10) = 26237[1 + 0.024]^10
Find the value of the expression below.
log5 25
O A. 2
OB. 0.5
O C. 125
O D. 5
Answer:
A.2
Step-by-step explanation:
log5(25)
log5(5²)
2
working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. if it takes 40 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
Answer:
120 minutes
Step-by-step explanation:
large horse + small horse = together
1 pool/40 minutes + x = 1pool/30 minutes
1/40 + x = 1/30
subtract 1/40 from both sides
x = 1/30 - 1/40
use 120 as common denominator
x = 4/120 - 3/120
x = 1/120
x = 1 pool / 120 minutes
It takes the small horse 120 minutes
What is the code? Thank you! Whoever answers this, I will give brainliest!
Answer:
5821
Step-by-step explanation:
For the first symbol, the number is 5.
In the first problem, the digit corresponding to that symbol is 5.
In the second one, it should be 5. The area of a triangle is base * height / 2. The base is 15 and the height is 9. Therefore, the area will be 15 * 9 / 2 = 67.5 square units. Now, the number corresponding to that symbol is 5.
In the fourth problem, the number corresponding to the symbol is also 5.
For the second symbol, the number is 8.
In the 5th problem, the number corresponding to that symbol is 8.
In the 7th problem, the number corresponding to the symbol is 8.
In the last problem, 96 is the correct answer, and everything is in the right place. I assume this must be the mistake of the maker of the problem.
For the third symbol, the number is 2
In the 1st and 3rd problems, the number corresponding to that symbol is 2
Finally, for the last symbol, the number is 1
In the 4th problem, there is a trapezoid. The formula for the area of a trapezoid is base 1 * base 2 / 2 * height. base 1 = 29, base 2 = 13. 13 + 29 = 42. 42 / 2 = 21. 21 * 15 = 315. Now, the 2nd digit, the one corresponding to the symbol, is 1.
In the last problem, you need to find the surface area of a figure. I would do this by splitting it up. The area for a triangle is base * height / 2. That means, the area of the triangle would be 8 * 7 / 2 = 28. There are four identical triangles, so you multiply this by 4 and get 112. Next, you find the area of the square which is 7 * 7. 7 * 7 = 49. Now, you add them together. 112 + 49 = 161. Now, the first and last digits corresponding to the symbol are both 1.
The answer is 5821.
what is the first step to solving a quadratic equation
Answer:
Step 1: To use the quadratic formula, the equation must be equal to zero, so move the –4x back to the left hand side. Step 2: Identify a, b, and c and plug them into the quadratic formula. In this case a = 3, b = 4, and c = 8. Step 3: Use the order of operations to simplify the quadratic formula.
Step-by-step explanation:
a once-popular children's doll is slowly declining in popularity. the quartic function f(x)-0.002x^4 0.025x^3-0.364x^2-7.243x 86.993, where x is the number of years from 1993 to 2003. Estimate the number of dolls of this type that were sold (in thousands) during a given year from 1993 to 2003. Estimate how many dolls were sold in 2001.
Answer:
10,361 dolls were sold in 2001.
Step-by-step explanation:
Number of dolls sold in x years after 1993:
The number of dolls sold in x years after 1993 is given by:
[tex]f(x) = -0.002x^4 - 0.025x^3 - 0.364x^2 - 7.243x + 86.993[/tex]
Estimate how many dolls were sold in 2001.
2001 is 2001 - 1993 = 8 years after 1993, so this is f(8).
[tex]f(8) = -0.002*8^4 + 0.025*8^3 - 0.364*8^2 - 7.243*8 + 86.993 = 10.361[/tex]
10,361 dolls were sold in 2001.
5 = 500e^-0.00043(t)
t=10709.69810694
Hope this helps! :)
answered Which number line represents the solution to the inequality 4x +20 <40
Answer:
the one that has a hollow dot on 5 with the line pointing left
Step-by-step explanation:
4x+20<40
-20 -20
4x<20
/4 /4
x<5
:) ur welcome
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 miles/hour and a standard deviation of 4.72 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour.
(a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding?
Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.)
(b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding?
(c) What is the standard deviation of the number of cars he would expect to watch?
Answer:
a) 0.2347, 0.0007
b) 1.30
c) 0.63
Step-by-step explanation:
Given –
Mean = 73.4
Sigma = 4.7
Probability that the speed is greater than 70 is
P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653
a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347
The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007
b) E (X) = 1/p = 1/0.7653 = 1.30
c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63
What is the solution to this inequality?
–16x > –80
Answer:
x < 5
Step-by-step explanation:
–16x > –80
Divide each side by -16, remembering to flip the inequality
-16x/-16< -80/-16
x < 5
Answer:
x<5
Step-by-step explanation: hope that helps!
Which equation represents a line that passes through (-2, 4) and has a slope of 2/3
Convert 8 1/6 into an improper fraction
Answer:
49/6
Step-by-step explanation:
8×6= 48
+ the numerator
The mixed fraction number in the form of an improper fraction will be 49/6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The mixed fraction number is given below.
⇒ 8 ¹/₆
Convert the mixed fraction number into an improper fraction. Then we have
⇒ 8 ¹/₆
⇒ 8 + 1/6
⇒ (48 + 1) / 6
⇒ 49 / 6
The mixed fraction number in the form of an improper fraction will be 49/6.
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