Answer:
y - 2 = -5 (x - 1)
Step-by-step explanation:
Formula for point-slope equation :
y - y₁ = m (x - x₁)
============================================================
Given :
⇒ Point (x₁, y₁) = (1, 2)
⇒ Slope (m) = -5
=============================================================
Solving :
⇒ y - 2 = -5 (x - 1)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Equation of line can be written in point - slope form as :
[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]
y1 = y - coordinate of point = 2 x1 = x - coordinate of point = 1m = slope = -5So, required equation is ~
[tex]\qquad \sf \dashrightarrow \:y - 2 = - 5(x - 1)[/tex]
he life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean lifetime of a bulb is 540 hours. Find the probability of a bulb lasting for at most 569 hours. Round your answer to four decimal places.
Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 540, \sigma = \sqrt{625} = 25[/tex]
The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{569 - 540}{25}[/tex]
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
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A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $4 for every pot that is delivered safely. The moving company must pay the florist $5 each for any pots that are lost or broken. If 6 pots are lost, 12 pots are broken, and the rest are delivered safely, how much should the moving company be paid?
Answer:
$596
Step-by-step explanation:
So, firstly, let's take all the essential info and put it in bullet points:
$200 moving fee$4 for every pot delivered safley$5 each per pot that is lost/brokenNext, what do we know about what's happened to the pots?
6 pots are lost12 pots are broken578 pots are supposed to be deliveredNow, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-
200
Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.
So, we can subtract that from the total payment.
200-18=182
Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:
578+18=596
So, the total amount you would be paying is $596.
Find the area of the sector
Answer:
10:
7/4π = 5.5(1decimql place)
11:
50π = 157.1(1 decimal place)
Step-by-step explanation:
the equation is (angle/360) X πr^2
Multiply and express as a mixed fraction
6 × 2 1/9
Answer should be 12 ⅔
I need method
Please answer correctly
Multiply and express as a mixed fraction
6 × 2 1/9
Which of these is not represented by one of the letters in PITI?
OA. Title
O
B. Principal
о C. Insurance
O
D. Interest
The option not represented by one of the letters in PITI is (a) Title
How to determine the letter not represented?The acronym is give as:
PITI
The meaning of the above acronym is:
P -> PrincipalI ->InterestT -> TaxesI -> InsuranceFrom the list of given options, we can see that Title is not represented in the letters
Hence, the option not represented by one of the letters in PITI is (a) Title
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The option which is not represented by one of the letters in PITI is,
(a) Title
We have to given that,
The acronym is give as:
⇒ PITI
Since, We know that,
The full form of the above acronym PITI is:
P = Principal
I = Interest
T = Taxes
I = Insurance
Hence, From the list of given options, we can see that Title is not represented in the letters
Therefore, the option not represented by one of the letters in PITI is (a) Title
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EASY POINTS Which of the following statements is true?
Answer:
B.
Step-by-step explanation:
They form a right angle.
Answer:
B
Step-by-step explanation:
if A were true, this hole shape could not be a triangle as AC and BC would be parallel and never have an intersecting point.
C - the line BC intersects the line EC but only at the very end point. but to bisected means to split it in half, so the intersection would have to be in the middle.
D - the line AC is only perpendicular to DE, and while DE is a perpendicular bisector to AC, AC itself does not split anything in half.
(PLEASE SOMEONE HELP BRO). Use the drop-down to complete the following inequality. 
Answer:
<
Step-by-step explanation:
negative + positive = positive - positive
positive - negative = positive + positive
a = positive b = negative
a+b < a-b
Answer:
<
a + b is smaller than a - b as b is in the realm of negative numbers.
Jimmy invests $25,000 into the stock market which generates 5% interest compounded every month. How much money will he have after 7 years?
Answer:
35177.51057 (Rounded - 35177.5)
Step-by-step explanation:
Compound Interest -
- Recalculates how much you should be getting
The format will ALWAYS be y=[tex]ab^x[/tex]
A = Starting Value
B = Multiplier
X = Time (years)
5% = .05
1.00 + .05 = 1.05%
y=25,000(1.05)^7
= 35177.51057
Let me know if i did anything wrong <3
need a little help!!!
Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to the
nearest tenth? Use 3.14 for *.
The ball holds about
cubic inches of air.
An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?
3. Siti and Mary shared $35 in the ratio 4:3.
How much money did Siti receive?
Answer:
$20
Step-by-step explanation:
First we will change the ratio so that we are finding how much money Siti receives to the total amount of money.
[tex]4:3 \rightarrow 4:(3+4)=4:7[/tex]
Now we can solve for how much money Siti receives using a proportion.
[tex]\frac{4}{7} = \frac{\mbox{money Siti receives}}{35}[/tex]
We can see that the denominator increases 5 times, so the numerator must increase 5 times too. This means Siti receives $20.
A circular plate has circumference 25 7 inches.what is the area of the plate
Answer:
52.56 square inches.
Cassandra's Cogs advertises on its website that 90% of customer orders are received within three working days. They performed an audit from a random sample of 100 of the 2,500 orders that month and it shows 85 orders were received on time. Part A: Can we use a normal approximation? Explain. (5 points) Part B: If Cassandra's Cogs customers receive 90% of their orders within three working days, what is the probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less? (5 points)
Using the Central Limit Theorem, we have that:
a) Yes, it can be used, as np > 10 and n(1 - p) > 10.
b) There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].For the sample, we have that:
np = 85 > 10.n(1 - p) = 15 > 10.Hence the normal approximation can be used.
As for part B, if we have p = 0.9 and n = 100, the mean and the standard error are given by:
[tex]\mu = p = 0.9[/tex].[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.9(0.1)}{100}} = 0.03[/tex]The probability of a sample proportion of 85% of less is the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.85 - 0.9}{0.03}[/tex]
Z = -1.67
Z = -1.67 has a p-value of 0.0475.
There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
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a certain rectangular carpet covers 200 square meters. it’s width is 4 meters. how long is the carpet?
Answer:
50 square meters
Step-by-step explanation:
-15ade - 13a factor this pls
Answer:
a(15de-13)
Step-by-step explanation:
just find the variable(s) that both terms have and take it out and put it off to the side like so
The distance between points (3, 7) and (x₁, y ) is the square root of (x₁ - 3)² + (y₁ - 7)².
true or false
Based on the distance formula, the distance between points (3, 7) and (x1, y) is: [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]. SO, it is TRUE.
What is the Distance Formula?The distance formula which can be applied to find the distance between two coordinate points is: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].
Given the points:
(x1, y1)
(3, 7) = (x2, y2)
Substitute
[tex]d = \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]
Therefore, the statement that says the distance between points (3, 7) and (x1, y) = [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex], is TRUE.
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10 + 5/12c = 20 (deltamath.com Two Step Equations with Fractional Coefficients (L1)
What are m and b in the linear equation 10 + 4x + 3 + 2x = y?
Answer:
m = 6
b = 13
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this equation, "m" represents the slope and "b" represents the y-intercept. To determine these variables, you need to rearrange/simplify the given equation.
10 + 4x + 3 + 2x = y <---- Original equation
10 + 3 + 4x + 2x = y <---- Rearrange
13 + 4x + 2x = y <---- Combine 10 and 3
13 + 6x = y <---- Combine 4x and 2x
y = 6x + 13 <---- Rearrange
As you can now see, the number in the "m" position is (6) and the number in the "b" position is (13).
Consider the function represented by with x as the independent variable. How can this function be written using function notation?
A function assigns the values. This function can be written using function notation as f(x).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function represented by x as the independent variable. Therefore, this function can be written using function notation as f(x).
Hence, this function can be written using function notation as f(x).
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Answer: f(x)-3x+4
Step-by-step explanation:
trust me
In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Another way of writing the inequality 64 < x < 68, where x represents the height of the actor, is x>64 and x< 68. Hence, the correct option is A.
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A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
negative StartFraction 4 Over 3 EndFraction
Answer:
the answer is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
to get the answer, just do [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
plug in the values
[tex]\frac{0-3}{5-1}=\frac{-3}{4} =-\frac{3}{4}[/tex]
That's how you get that.
The diameter of a circle is 18 centimeters. What is the circle's circumference?
Answer:
Circumference ≈ 56.55
Step-by-step explanation:
Given:
Diameter = 18 cmTo Find:
The circumference of the circleSolution:
Here we'll use the formula of finding the circumference,i.e :
[tex] \boxed{\rm \: C = πd}[/tex]
Here, d = diameterThe value of π is not given, so let us take π = 3.14C = circumferenceSubstitute them onto the formula:
d = 18 cmπ = 3.14[tex]\rm C = \pi(18) \: cm[/tex]
[tex]\rm C = 3.14 \times 18 \: cm[/tex]
[tex] \boxed{\rm C \approx \: 56.55}[/tex]
Hence, the circumference of the circle is 56.55(approx).
Connor wants to divide 360 jellybeans into equal groups. He wants each group to have more than 5 jellybeans, but less than 100. What are three possible groupings Connor can make?
one group made up of 12 can each have 50 = 600
Answer:
One way is that there can each be 99 for each. 99x3= 297 which, isn't too far from 360. Another way is that they can each have 50. 50x3=150. The last way is to have them each have 30. 30x3=90.
Step-by-step explanation: Hope I helped at least a little bit. Give brainliset to best answer. I don't think my answer was that good. Let me know if it helped at all.
The normal yearly growth of a plant is 60 inches. The normal growth was ten inches more than twice the amount of last year. What was the growth of the plant last year?
The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The normal yearly growth of a plant is 60 inches.
Let's suppose the growth of the plant last year was x
The normal growth was ten inches more than twice the amount of last year.
From the above statement:
10 + 2x = 60
2x = 50
x = 25 inches
Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
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Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.
2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.
He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.
The volume of the complete sculpture = 4(Volume of a single pyramid)
= 4[(1/3) × (2 ft)² × 1.5 ft]
= 4(2 ft³)
= 8 ft³
Hence, the amount of sculpting material needed is 8 ft³.
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Answer:
8ft.^3
Step-by-step explanation:
I just took the test on edge :)
F 6. A carpenter bought a table for 3500. He spent 500 on repairing and painting it. He then sold it for 3500. What was his profit or loss?
Answer:
the carpenter lost 500
Step-by-step explanation:
if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500
which quadrilateral is a trapezoid?
The quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.
What is a trapezoid?The figure with the four sides and the sum of the angles with 360 degrees are called a quadrilateral.
A trapezoid is a quadrilateral because it has four sides and the sum of the angles of all the sides is 360 degrees. The quadrilateral is a trapezoid because it has two sides parallel and the other two sides are intersecting.
Therefore the quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.
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solve for x in the following equations
Answer:
2.
[tex]x = \frac{11}{4} = 2 \frac{3}{4} = 2.75[/tex]
3.
[tex]x = \frac{5}{2} = 2 \frac{1}{2} = 2.5[/tex]
4.
[tex]x = \frac{3}{7} ≈0.428571429[/tex]
Greg wants to buy a drum set he saw at the market. It costs $250. Greg has $123
How much more does he need? Type your answer in the box.
The amount Greg needed more to balance the cost of drum set if it cost $250 and he has $123 is $127
How to solve equation?Total cost of drum set = $250Amount with Greg = $123Amount needed = mTotal cost = Available amount + needed amount
250 = 123 + m
subtract 123 from both sides
250 - 123 = m
127 = m
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The graph below represents the distance of a dog from a trainer after a command is given.
The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.
The dog was running toward the trainer to receive a treat the correct answer is option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
At the point on the graph where Time is 5 (seconds), the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer. The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.
Therefore the dog was running toward the trainer to receive a treat the correct answer is option B.
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