Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
The equation of a line in point- slope form is
y = mx + c ( m is the slope ( gradient ), c is the y- intercept )
y = \(\frac{1}{2}\) x ← is in point- slope firm
with gradient = \(\frac{1}{2}\)
a basket contains 9 apples, of which two are rotten. a sample of three apples is selected at random. in how many ways can two rotten apples be chosen?
Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.
Given,
Number of apples in the basket = 9 apples
Number of rotten apples = 2 apples
Number of apples selected as sample = 3 apples
We have to find the number of ways can two rotten apples be chosen.
Here,
2 of 3 apples should be rotten.
Then,
First two apples rotten and last one apple fresh.First and last apples are rotten and second one is freshFirst apple is fresh and last two apples are rotten.That is,
Two rotten apple can be chosen by 3 ways for the sample when 3 apples are taken.
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a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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Plss solve this problem... will mark brainiest
solve for x. 2x +5=33
Answer:
x = 14
Step-by-step explanation:
2x +5=33
Subtract 5 from each side
2x+5-5 = 33-5
2x = 28
Divide by 2
2x/2 =28/2
x = 14
if a right angle triangle has one side with 3cm and the other with 4cm how do i get the last side
Answer:
5cm
Step-by-step explanation:
It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.
I’ll give 30 points if you can answer this correctly or 100 it depends
Answer:
Please, it's not clear enough
Answer:
5 per child and 3 tickets
Step-by-step explanation:
5 is the answer
3 tickets is 2nd answer
pls mark brainliest
Evaluate 9 ÷ 3[(18 − 6) − 2^2]. Answers A.0.188 B.0.375 C.24 D.48
Answer:
C. 24
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
9 ÷ 3[12 - 4]
3[8] = 24
approximately how fast is a person located at the earth's equator traveling due to the rotation of the earth? hint: a person located at the equator will go once along the circumference of a circle with radius equal to the radius of the earth in a time interval equal to 24 hours. speed is equal to distance traveled divided by the time interval.
The speed of the person located at earth's equator traveling due to rotation is, 1670 km/hr.
The person at equator traveling due to it's rotation will cover one complete round of earth in 24 hours. Hence the distance travelled is the circumference of the earth.
The radius of the earth is, 6 378.1 kilometers.
The circumference can be calculated as, 2×π×R
Using R = 6 378.1 kilometers,
Circumference = 2×π×6 378.1 kilometers
Circumference = 40090.91 kilometers.
The distance traveled = 40090.91 kilometers.
Time taken is 24 hrs.
Hence speed = distance/time
Speed = 40090.91/24
Speed = 1670 km/hr
The speed of the person is 1670 km/hr.
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a library has 2500 books.40% of the books are fiction.How many books are not fiction books
A library has 2500 books.40% of the books are fiction, number of not fiction books are 1500.
A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
Total amount of book in library are 2500 ,
Out of that 40% are fiction so the number of the non fiction books are 60%
so 60% of 2500 will give us the value of non fiction books,
Number of non fiction = 2500 x 60%
= 2500 x 60/100
= 25 x 60
= 1500
Therefore, Number of non fiction books are 1500.
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The pH scale measures how acidic or basic a substance is. Bleach is said to have a pH of less than 14 and greater than 11. Model the normal range of pH values of bleach, using a compound inequality. 11 > x > 14 11 < x < 14 11 ≤ x ≤ 14 11 ≥ x ≥ 14
The answer choice which correctly models the range of pH values of bleach is; 11< x < 14.
What is.the range of values for the pH of bleach?According to the task content; Bleach is said to have a pH of less than 14 and greater than 11.
Hence; pH < 14. and pH > 11.
Therefore, when written as a compound inequality; we have;
11< pH < 14.
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Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink?
A. The burger cost $4; the drink cost $3.
B. The burger cost $2; the drink cost $4.
C .The burger cost $5; the drink cost $3.
D. The burger cost $3; the drink cost $2.
Answer:
A
Step-by-step explanation:
2(4)+4(3) =20
8+12=20 yes
--------------------------
2(4)+2(3)=14
8+6=14 yes
Answer:
2 burgers and 4 drinks= $20 while 2 burgers and 2 drinks=$14
if the burger cost was $2 and the drink cost was $4, Emily would've spent $20 while Deja would've spent $12, so B's wrong
if the burger cost was $5 and the drink cost was $3, Emily would've spent $22, so C's incorrect, too
if the burger cost was $3 and the drink cost was $2, Emily would've spent $14 and Deja would've spent $10 so D's false as well
Therefore A's correct
Step-by-step explanation:
the burger cost is $4 and the drink cost is $3, Emily spent $20 and Deja spent $14
t=total, bc= burger cost, dc=drink cost
Emily's Equation:
t= 2(bc)+4(dc)
t=2(4)+4(3)
t=8+12
t=20
20=20
Deja's Equation
t=2(bc)+2(dc)
t=2(4)+2(3)
t=8+6
t=14
14=14
Can someone help me plz?
Answer:
275 non spectators
Step-by-step explanation:
1. Subtract
42,500 - 31,750 - 10,475 =
275
2. Get answer
275 non-spectators
would the sample size be large enough if the population is school-aged children and young adults in the united states? explain in 2-3 sentences.
Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.
Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.
The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.
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Michelle wants to buy a new 256 GB iPhone 11 that costs $849. She has $200 in savings and needs to earn the rest. If Michelle currently works at Subway and earns $12.50 per hour, which equation best represents this scenario?
There is 20 million m³ of water in a lake at the beginning of a month. Rainfall in this month is a random variable with an average of 1 million m³ and a standard deviation of 0.5 million m³. The monthly water flow entering the lake is also a random variable, with an average of 8 million m³ and a standard deviation of 2 million m³. Average monthly evaporation is 3 million m3 and standard deviation is 1 million m³. 10 million m³ of water will be drawn from the lake this month. a Calculate the mean and standard deviation of the water volume in the lake at the end of the month. b Assuming that all random variables in the problem are normally distributed, calculate the probability that the end-of-month volume will remain greater than 18 million m³.
The mean volume of water in the lake at the end of the month is 10 million m³, with a standard deviation of approximately 2.291 million m³.
The probability that the end-of-month volume will remain greater than 18 million m³ is approximately 0.0002 or 0.02%.
a) To calculate the mean and standard deviation of the water volume in the lake at the end of the month, we need to consider the various factors affecting the volume.
The mean volume at the end of the month can be calculated as:
Mean volume = Initial volume + Rainfall - Water flow - Evaporation
Mean volume = 20 million m³ + 1 million m³ - 8 million m³ - 3 million m³
Mean volume = 10 million m³
The standard deviation of the volume at the end of the month can be calculated using the formula for the propagation of uncertainty:
Standard deviation = sqrt((SD of rainfall)^2 + (SD of water flow)^2 + (SD of evaporation)^2)
Standard deviation = sqrt((0.5 million m³)^2 + (2 million m³)^2 + (1 million m³)^2)
Standard deviation ≈ 2.291 million m³
b) To calculate the probability that the end-of-month volume will remain greater than 18 million m³, we need to find the z-score for this value and then use the standard normal distribution.
z = (18 million m³ - mean volume) / standard deviation
z = (18 million m³ - 10 million m³) / 2.291 million m³
z ≈ 3.49
Using the standard normal distribution table, we can find the probability corresponding to a z-score of 3.49, which is the probability of being below 18 million m³. To find the probability of being above 18 million m³, we subtract this probability from 1.
Probability (volume > 18 million m³) = 1 - Probability (volume < 18 million m³)
= 1 - Probability (z < 3.49)
≈ 1 - 0.9998
≈ 0.0002
Therefore, the probability that the end-of-month volume will remain greater than 18 million m³ is approximately 0.0002 or 0.02%.
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How many is 12 + 1??
Answer:13
Step-by-step explanation:
Jordan made this design from three pieces of square-shaped cloth. What is the total area of the design jordan made? 4cm 6cm 8cm Explain how you found your answer
The design has a total area of 116 cm² when measured using the area of a square.
What is the area?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Create a square on paper by using a pencil.
Two dimensions make it up.
A shape's area on paper is the space it takes up.
Given that a square has equal sides, we can calculate its area as follows:
A = s²
The photograph below illustrates the three square-shaped pieces of fabric that Jordan used to create the design.
Find the area of each square-shaped piece of fabric and add them all up to get the total pattern area.
Inferring the area of a square, the total area would be as follows:
Total Area = 4² + 6² + 8²
Total Area = 116 cm²
Therefore, the design has a total area of 116 cm² when measured using the area of a square.
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A box contains 23 yellow, 33 green and 37 red jelly beans. if 9 jelly beans are selected at random, what is the probability that:_________
The probability that exactly 10 are yellow out of 9 random selections is 0.
ProbabilityTo calculate the probability of exactly 10 jelly beans being yellow out of 9 selected at random, we need to consider the total number of favorable outcomes (selecting exactly 10 yellow jelly beans) divided by the total number of possible outcomes (selecting any 9 jelly beans).
The total number of jelly beans in the box is 23 (yellow) + 33 (green) + 37 (red) = 93.
The number of ways to select exactly 10 yellow jelly beans out of 9 is 0, as we have fewer yellow jelly beans than the required number.
Therefore, the probability of exactly 10 yellow jelly beans is 0.
In this case, it is not possible to have exactly 10 yellow jelly beans out of the 9 selected because there are not enough yellow jelly beans available in the box.
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A box contains 23 yellow, 33 green and 37 red jelly beans. if 9 jelly beans are selected at random, what is the probability that: exactly 10 are yellow?
determine the minimum distance (ft) it will take for a driver going at the speed limit to come to stop at the traffic light after the traffic light turns yellow. b) what will be minimum stopping distance if the driver was going at 45 mph (5 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). c) what will be the minimum stopping distance if the driver was going at 50 mph (10 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). g
The minimum stopping distance is 800 ft.
Part A: The minimum stopping distance for a driver going at the speed limit (40 mph) is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (40 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 800 ft.
Part B: For a driver going at 45 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (45 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 925 ft, which is 15.6% greater than the stopping distance for the speed limit.
Part C: For a driver going at 50 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (50 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 1250 ft, which is 56.3% greater than the stopping distance for the speed limit.
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If we wanted to analyze the variables Birth Rate and Death Rate at the same time, what would be appropriate to use? Mark all that apply..
- two-way table
- scatterplot
- boxplots
- histogram
- split bar chart
- stacked bar chart
The appropriate methods for analyzing the variables Birth Rate and Death Rate at the same time would be scatterplot, two-way table, and stacked bar chart.
Scatterplot: A scatterplot can be used to visually display the relationship between two quantitative variables, such as Birth Rate and Death Rate. Each point on the scatterplot represents a pair of values for the two variables, making it easy to identify patterns or trends in the data.
Two-way table: A two-way table can be used to display the distribution of two categorical variables, such as Birth Rate and Death Rate, and how they relate to each other. It can help identify the joint frequency or relative frequency of different categories.
Stacked bar chart: A stacked bar chart can be used to show how two categorical variables, such as Birth Rate and Death Rate, are related to each other. Each bar represents the total frequency for each category, and the bars are divided into sections representing the subcategories of the other variable. This makes it easy to compare the distribution of the two variables across each category.
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The wholesale price for a shirt is $4.50 a certain department store marks up the wholesale price by 40% find the price of the shirt in the department store round your answer to the nearest cent as necessary
Answer:
$6.30
Step-by-step explanation:
From the above question, we are to find the price.
This is calculated as:
Wholesale price + (Whole sale price + %Mark up)
Whole sale price = $4.50
% Mark up = 40%
Therefore:
The price = $4.50 + ($4.50 × 0.4)
= $4.50 + $1.80
= $6.30
The price in the department is $6.30
What is the measure of ∠ACD?
A.30°
B.63°
C.147°
D.150°
Please help :)
Answer:
D.150°
Step-by-step explanation:
i think first you got to find the angle of ACB. you find it because a triangle's angles add up to 180. 33+177=150. which leaves you with with 30
In circle
�
H,
�
�
=
6
HI=6 and the length of
�
�
⌢
=
4
�
IJ
⌢
=4π. Find m
∠
�
�
�
∠IHJ
In circle HI=6 and the length of IJ =4π. The measure of ∠IHJ is 60 degrees.
In a circle, the measure of an angle formed by a chord and a tangent at the point of contact is half the measure of the intercepted arc.
Given that IJ is a chord of the circle, and its length is 4π, we can determine the measure of the intercepted arc using the formula:
Arc length = (central angle / 360 degrees) * circumference of the circle
The circumference of the circle is 2π times the radius, and the radius is half the diameter. Since HI is given as 6, the diameter is 2 * 6 = 12. Therefore, the circumference is 2π * 6 = 12π.
Now, we can calculate the measure of the intercepted arc:
4π = (central angle / 360 degrees) * 12π
Simplifying the equation, we get:
4 = (central angle / 360)
To find the measure of the angle IHJ, we solve for the central angle:
central angle = 4 * 360 = 1440 degrees
Since the measure of ∠IHJ is half the measure of the intercepted arc, ∠IHJ = 1440 / 2 = 720 degrees.
However, angles in a circle are measured from 0 to 360 degrees, so we need to find the equivalent angle within this range:
720 - 360 = 360 degrees
Therefore, the measure of ∠IHJ is 360 degrees, or equivalently, 60 degrees.
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hello pleASE I need helppppppp
I can help you with that problem i just did that on my own.
Mr.McMahon pays $880 for a $1000 bond paying bond interest at 9% compounded semi- annually and redeemable at $1000 in 20 years. If his desired yield was 8% compounded semi-annually, what semi-annual probability of default did he expect?
Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.
How to solve?
To solve this problem, we can use the formula for the present value of a bond:
PV = (C/r) ×[1 - 1/(1+r)²n] + F/(1+r)²n
where PV is the present value of the bond, C is the semi-annual coupon payment, r is the semi-annual yield rate, n is the number of semi-annual periods, and F is the face value or redemption value of the bond.
We know that Mr. McMahon paid $880 for a $1000 bond, so the present value of the bond is PV = $880. The redemption value of the bond is F = $1000, and the yield rate that he desired was r = 8% per year, compounded semi-annually. Therefore, the semi-annual yield rate is:
i = 0.08/2 = 0.04
We can use the formula to solve for the number of semi-annual periods:
PV = (C/i) ×[1 - 1/(1+i)²n] + F/(1+i)²n
$880 = ($45/i) ×[1 - 1/(1+0.04)²(220)] + $1000/(1+0.04)²(220)
Solving for i gives:
i = 0.0517 or approximately 5.17%
This is the semi-annual yield rate that Mr. McMahon actually received on the bond. To find the semi-annual probability of default that he expected, we can use the formula for the expected yield rate of a bond:
yield = (1 - probability of default) ×(yield rate on the bond) + (probability of default) ×(recovery rate)
where the recovery rate is the percentage of the face value that would be recovered in the event of default.
Assuming that the recovery rate is zero (meaning that in the event of default, Mr. McMahon would receive nothing), we can solve for the probability of default:
0.08 = (1 - p) ×0.0517 + p ×0
Solving for p gives:
p = 0.357 or approximately 35.7%
Therefore, Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.
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HELP!!! Please solve the problem and give me the answer!!!
Answer:
answer A
Step-by-step explanation:
Hello,
\((fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11\)
so the correct answer is A.
hope this helps
Answer:
A. 6x + 11.
Step-by-step explanation:
(f o g)(x)
We replace the x in f(c) by g(x) and simplify:
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11.
Substituting the equation x = 4y - 12 into the equation -2y = x -
6 will produce the equation
Answer: y=-(4y-12)/2 + 3; x=0 y=3
FIRST TO ANSWER CORRCTLY gets brainlesit ! :)
Answer:
the answer is C 52ft
Step-by-step explanation:
first add 3.4 + 2.6 then you subtract your answer with 2.8
Which table represents the graph below?
Answer:
it is that table
Step-by-step explanation:
What is the difference between repressed and recovered memories?
Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.
Recovered memory:
The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.
Repressed Memory:
Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.
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