Answer:
A. (0, 4)
Step-by-step explanation:
y=mx+b
y=7x+4
7x<-- mx
4<-- b
b=y intercept
The value of the y-intercept of the line described by the equation is,
⇒ (0, 4)
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation of line is,
y = 7x + 4
Now, We know that;
The equation of line is,
y = mx + c
Where, c is y - intercept.
Hence, We get;
The value of the y-intercept of the line described by the equation is,
⇒ y = 4
⇒ (0, 4)
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What is the solution to the inequality below?
x < 5
A. x< 25 or x>-25
B. x < 25 or x>0
O C. x< 25 and x > 0
O D. x < 25 and x>-25
Answer:
C. x < 25 and x ≥ 0
Step-by-step explanation:
Fastest and easiest way to do this is to graph the inequality and find out the lines.
in a town election, 5985 people voted. this is 63% of the town's population who are registered to vote. How many people are registered to vote?
Answer:
9500
Step-by-step explanation:
If r represents the number of registered voters, we are given that ...
5985 = 0.63·r
r = 5985/0.63 = 9500
9500 people are registered to vote.
difference of squares gives which complex factors for the expression x^2+3
Answer:
[tex](x-i\sqrt{3})(x+i\sqrt{3})[/tex]
Step-by-step explanation:
Written as a difference of squares, the expression is ...
[tex]x^2 -(\sqrt{-3})^2=\boxed{(x-i\sqrt{3})(x+i\sqrt{3})}[/tex]
Answer:
(x+i[tex]\sqrt{3)[/tex](x-i[tex]\sqrt3[/tex])
Step-by-step explanation:
the sum of the first 20 terms of an A.P is identical to the sum of the first 22 term.If the common difference is -2; find the first terms
Answer:
First term a = 41
Step-by-step explanation:
Arithmetic Progression:
Common differences d = -2
[tex]S_{n}=\frac{n}{2}(2a+[n-1]d)\\\\S_{20}=\frac{20}{2}(2a+19*[-2])\\\\[/tex]
= 10*(2a - 38)
= 10*2a - 10*38
=20a - 380
[tex]S_{22}=\frac{22}{2}(2a+21*[-2])\\\\[/tex]
= 11 (2a -42)
=11*2a - 11*42
= 22a - 462
[tex]S_{22}=S_{20}\\\\[/tex]
22a - 462 = 20a - 380
22a = 20a - 380 + 462
22a = 20a + 82
22a - 20a = 82
2a = 82
a = 82/2
a = 41
First term a = 41
What is the richest country per capita?
Answer:
The richest country per capita is QATAR.
Step-by-step explanation:
Qatar is by far the richest country in the world with a GNI per capita of $116799 to more than $20000 higher than any other nation.
Hope it helps you, okay.
___________is an expected error based only on the observations limited to a sample taken from a population
1. Sampling error
2. Survey error
3. Coverage error
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▹ Answer
1. Sampling error
▹ Step-by-Step Explanation
A sampling error is an error in statistics. This means that not the whole population is given a chance to be sampled, which results in this error.
Hope this helps!
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Brainliest is greatly appreciated!
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What is the area , rounded to nearest hundredth?
Answer:
57
Step-by-step explanation:
Area of rectangle:
4 x 12
=48
Area of left triangle:
2 x 3 / 2
=3
Area of right triangle:
6 x 2 / 2
=6
Total Area:
48 + 3 + 6 = 57
Answer: 100
Step-by-step explanation: 4 * 12 = 48 6 * 2 / 0.5 = 24 3 * 2 / 0.5 = 12
48+24+12=84 84 to the nearest hundred is 100.
A nursing student is planning his schedule for next quarter. He needs to take three courses and one must be statistics. For his other courses, he can choose one of two science classes and one of three social sciences classes. What is the probability that his social sciences class is not Economics?
Answer: 0.66
Step-by-step explanation:
He must choose 2 courses.
The options are:
one of two science classes
one of three social sciences classes.
For the first class selection we do not have any restriction, so that selection can be ignored.
Now, we can assume that one of the 3 social sciences is economics, so we have 2 classes that are not economics.
Then, the probability that he does not select economics (if the selections are at random) is equal to the number of classes that are not economics divided the total number of classes:
p = 2/3 = 0.66
how do you graph y=–7/3x+2. PLEASE HELP ME
Graph the line using the slope and y-intercept, or two points.
Slope: -7/3
y-intercept: 2
Please mark me as brainliest if possible. Stay safe and God bless you!!
<3
- Eli
pls help this is for my little friend thank you
Answer:
Hey there!
3/2 and 3/4 can be written as decimals that terminate.
Hope this helps :)
Answer:
C
Step-by-step explanation:
A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point.
3/2=1.5
3/4= 0.75 (It ends after division)
Which lines are parallel? Justify your answer.
A. Lines a and b are pa because their corresponding angles are congruent.
B. Lines a and b are parallel because their same side exterior angles are congruent.
C. Lines e and f are parallel because their corresponding angles are congruent.
D. Lines e and f are parallel because their same side exterior angles are supplementary.
Answer:
A. Lines a and b are pa because their corresponding angles are congruent.
Step-by-step explanation:
The corresponding angles are both 110 degrees.
A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s equals negative 16 t squared plus 256 t. After how many seconds will the ball be 1008 feet from the ground?
Answer:
7 seconds
Step-by-step explanation:
Given the height equation of the motion;
s = -16t^2 + 256t
At s = 1008 ft
The equation becomes;
1008 = -16t^2 + 256t
16t^2 - 256t + 1008 = 0
Solving the quadratic equation for t;
Factorising, we have;
16(t-7)(t-9) = 0
t = 7 or t = 9
When the ball is going up it would reach the given height at time t = 7 seconds.
When it is coming down it would reach the given height at time t = 9 seconds.
I NEED HELP PLEASE, THANKS! :)
Answer:
7/2
Step-by-step explanation:
notice that if you substitute x by five you get 0/0 wich a non-defined form
The trick is to simplify by x-5
(x²-3x-10)/(2x-10)You get using the Euclidien division : x²-3x-10 = (x-5) (x-2)so : (x-2)(x-5)/2*(x-5) = (x-2)/2 substitute x by 5 to get 7/2 [tex]\lim_{x\to \5} \frac{x^{2} -3x-10}{2x-10}[/tex] = 7/2Hey there! :)
Answer:
[tex]\lim_{x \to 5} = 7/2[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\frac{x^{2}-3x-10 }{2x-10}[/tex]
Factor the numerator and denominator:
[tex]\frac{(x - 5)(x+2) }{2(x-5)}[/tex]
'x - 5' is on both the numerator and denominator, so it gets cancelled out and becomes a "hole".
This means that at x = 5, there is a hole. There is a limit at x ⇒ 5. Find the hole by plugging 5 into the simplified equation:
[tex]\frac{((5)+2) }{2}[/tex] = 7/2
Therefore:
[tex]\lim_{x \to 5} = 7/2[/tex]
Simplify. n 6 • n 5 ÷ n 4 • n 3 ÷ n 2 • n
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▹ Answer
n⁸
▹ Step-by-Step Explanation
n⁶ * n⁵ ÷ n⁴ * n³ ÷ n² * n
n⁶ * n⁵ * n⁻⁴ * n³ ÷ n²
n⁶ ⁺ ⁵ ⁻ ⁴ ⁺ ³ ⁻ ²
n⁸
Hope this helps!
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Answer:
2^9
Step-by-step explanation:
The other answer says n^8 I believe? Tried this and the answer ended up being n^9.
Khaled has a model of his favorite car. The model is
1/8 the size of
the real car, which has a surface area of 34 square meters. What is the
surface area of Khaled's model? (Note: 1 m = 100 cm)
53.13 cm?
4250 cm2
0.531 cm2
42.50 cm2
Answer:
When we are dealing with area (2 dimensions) the decrease is (1/8) squared or 0.0156250
So 34 sq meters * 0.0156250 = 0.53125 sq meters
A square meter = 100*100 cm = 10,000 sq centimeters.
So .53125 sq meters times 10,000 = 5,312.5 sq centimeters
I double-checked my answer and it seems the answer is 5,312.5 sq cm.
I'm guessing whoever made this question, when they converted square meters to square centimeters, they divided by 100 instead of 10,000.
Step-by-step explanation:
Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time of firing are normally distributed random variables with means of 40 minutes and 60 minutes and standard deviations of 2 minutes and 3 minutes, respectively. Assume the time of wheel throwing and time of firing are independent random variables.
A) What is the probability that a piece of pottery will befinished within 95 minutes?
B) What is the probability that it will take longer than 110minutes?
Answer:
a) 8.23% probability that a piece of pottery will be finished within 95 minutes
b) 0.28% probability that it will take longer than 110 minutes.
Step-by-step explanation:
Normal distribution:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Two variables:
Means [tex]\mu_{a}, \mu_{b}[/tex]
Standard deviations [tex]\sigma_{a}, \sigma_{b}[/tex]
Sum:
[tex]\mu = \mu_{a} + \mu_{b}[/tex]
[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}}[/tex]
In this question:
[tex]\mu_{a} = 40, \mu_{b} = 60, \sigma_{a} = 2, \sigma_{b} = 3[/tex]
So
[tex]\mu = \mu_{a} + \mu_{b} = 40 + 60 = 100[/tex]
[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}} = \sqrt{4 + 9} = 3.61[/tex]
A) What is the probability that a piece of pottery will befinished within 95 minutes?
This is the pvalue of Z when X = 95.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{95 - 100}{3.61}[/tex]
[tex]Z = -1.39[/tex]
[tex]Z = -1.39[/tex] has a pvalue of 0.0823
8.23% probability that a piece of pottery will befinished within 95 minutes.
B) What is the probability that it will take longer than 110 minutes?
This is 1 subtracted by the pvalue of Z when X = 110.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{3.61}[/tex]
[tex]Z = 2.77[/tex]
[tex]Z = 2.77[/tex] has a pvalue of 0.9972
1 - 0.9972 = 0.0028
0.28% probability that it will take longer than 110 minutes.
A survey was conducted to determine the amount of time, on average, during a given week SCAD students spend outside of class on class work (projects, homework, and studying). The data shows: 5, 7, 11, 14, 18, 22 (in hours). Calculate the standard deviation by using the appropriate formula. Round your answer to three decimal places.
Answer:
Standard Deviation = 5.928
Step-by-step explanation:
a) Data:
Days Hours spent (Mean - Hour)²
1 5 61.356
2 7 34.024
3 11 3.360
4 14 1.362
5 18 26.698
6 22 84.034
6 days 77 hours, 210.834
mean
77/6 = 12.833 and 210.83/6 = 35.139
Therefore, the square root of 35.139 = 5.928
b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.
Look at this expression, and complete the statement 3x+2(x+2)+4
the answer is 3y+2x+8
Every new computer costs $702.37 from a local store. The nearby school has a policy that every 3 children must have at least 1 computer. If each class has 24 children, how much money should the school spend on computers if there is 17 classes?
Division is one of the four fundamental arithmetic operations. The amount of money the school needs to spend on computers is $95,522.32.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
The number of students in a class is 24, while the number of classes is 17. Therefore, the number of students in the classes should be,
[tex]\text{Total number of students} = 24 \times 17 = 408[/tex]
Now, since, there should be a computer for every 3 students, therefore, the number of computers that will be needed are,
[tex]\text{Number of computer} = \dfrac{\text{Number of students}}{3} = \dfrac{408}{3} = 136[/tex]
The cost of a single computer is $702.37, therefore, the cost of 136 computers will be,
[tex]\rm Total\ cost= (\text{Cost of a single computer}) \times 136\\\\ Total\ cost= (\$702.37) \times 136\\\\ Total\ cost= \$95,522.32[/tex]
Hence, the amount of money the school needs to spend on computers is $95,522.32.
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Norah has $50,000 to invest. She is considering two investment options. Option A pays 1.5% simple interest. Option B pays 1.4% interest compounded annually. Drag dollar amounts to the table to show the value of each investment option after 5 years, 10 years, and 20 years rounded to the nearest dollar. the answer choices are: 58,027 53,500 53,750 57,458 66,028 65,000
Answer:
Option A
5 years: $53,750
10 years: $57,500
20 years: $65,000
Option B
5 years: $53,599
10 years: $57,458
20 years: $66,028
Answer:
the corrects answers
Option A
5 years: $53,750
10 years: $57,500
20 years: $65,000
Option B
5 years: $53,599
10 years: $57,458
20 years: $66,028
Which of the following illustrates the truth value of the following mathematical statements?
6 + 3 = 9, and 5.5 = 20
Answer: 6 + 3 = 9
Step-by-step explanation:
5.5 does not equal to 20
Brainliest to whoever gets this correct True or false: f(x) is a function.
Answer:
f(x) is not a function meaning this is false.
Step-by-step explanation:
One input, can only have one output. In this case 5 has two outputs, 1 and 3. This statement is false.
Hope this helped! :)
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6 period time frame:
Period : 1, 2, 3, 4, 5, 6
Demand: 200, 245, 190, 270, 280, 300
Use a 2 period moving average to forecast the demand for period 7.
Answer:
Forecast demand for period 7 is 290.
Step-by-step explanation:
The given number of period = 6
Since it is given that in period 1, the demand is 200 and at period 6 the demand is 300. However, to find the forecast demand for period 7, just add the demand of period 1 and period 6, then divide by 2.
Here, the following is the calculation.
Forecast demand for period 7 = (280 + 300) / 2
= 290
A motorcycle traveling at a speed of 15 miles/hour comes to a complete stop in 2 seconds when the motorcyclist saw a tiny turtle crossing the road. What is the accel-eration of the motorcycle
answer:
0.25 miles/sec, i hope this helps
Step-by-step explanation:
A baseball card collector buys and opens 360 packs of 1989 Fleer baseball cards. He is told that there is a 2.3% chance of anyone pack containing the coveted Billy Ripken error card. Find the mean and standard deviation of the random variable "number of Billy Ripken error cards ound", where n-360
Answer:
Mean: 8.28
Standard deviation: 2.84
Step-by-step explanation:
This random variable "number of Billy Ripken error cards found" can be described by the binomial distribution, with sample size n=360 (number of packs) and probability of success p=0.023 (probabillity of a pack containing the coveted Billy Ripken error card).
Then, the mean and standard deviation are calculate as for the binomial distribution:
[tex]\mu=np=360\cdot 0.023=8.28\\\\\sigma=\sqrt{np(1-p)}=\sqrt{360\cdot 0.023\cdot 0.977}=\sqrt{8.08956}\approx2.84[/tex]
The edge of a cube was found to be 15 cm with a possible error in measurement of 0.5 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (Round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error
Answer: maximum error = 90cm^2
Relative error = 0.067
Percentage error = 6.7%
Step-by-step explanation:
Given:
Size of edge of the cube = 15cm
Margin of error = 0.5cm
Therefore:
We all know a cube has 6 equals sides
A (x) = 6x^2
Differentiate
dA/dx = 12x
When change in x ( dx ) is small like in the case above
dA/dx = 12
dA = 12 x dx
1. Maximum error
= 12 x 15 x 0.5
= 90cm^2
2. Relative error = Max error / surface area
= 90 / 6 x 15^2
= 0.067
3. Percentage error = relative error x 100
= 0.067 x 100
= 6.7%
which linear is represented by the graph?
How do you sum with 3 8/9+ 1 5/12
Answer (explanation):
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), put that answer over the denominator.
Step 3: Simplify the fraction (if needed)
What is the solution to the following equation?
X/3 - 14 = -2
Answer:
x = 36
Step-by-step explanation:
x/3 - 14 = -2
x - 42 = -6
x = -6 + 42
x = 36
Hope this helps! :)
Answer:
x= 36
Step-by-step explanation:
X/3 - 14 = -2
Add 14 to each side
X/3 - 14+14 = -2+14
x/3 = 12
Multiply each side by 3
x/3 * 3 = 12*3
x = 36
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. 95% confidence; nequals=2388, xequals=1672
Answer:
The margin of error is of 0.0184 = 1.84%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
In this question:
[tex]\pi = \frac{1672}{2388} = 0.7, n = 2388[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.7*0.3}{2388}}[/tex]
[tex]M = 0.0184[/tex]
The margin of error is of 0.0184 = 1.84%.