Answer: 8.9%
Step-by-step explanation:
280-255=25
25/280 = 8.93/100 = 8.93% ≈ 8.9%
hope this helps!
What has the same value as |-5| ?
Answer:
5
Step-by-step explanation:
This is because |-5| is equal to 5
Answer:
It is 5
Step-by-step explanation:
The absolute value sign means how many spots that number is away from the 0 on the number line so it makes all numbers positive except if there is a negative sign on the outside of the absolute value sign
3 over 5 = 4 m
(solve for m, thanks!!)
Step-by-step explanation:
ok so, do cross multiplication and then it will be
3=4m(5)
3=20m
=20÷3
=0.666m
Jessie bought 4 balls of wool to knit sweaters for her children, and 5 balls of wool for herself. Then she spent $9.45 on knitting accessories. The total cost of the wool and the accessories was $28.71. Identify the equation and its solution that would help to find the cost of each ball of wool.
Step-by-step explanation:
first your going to break down your total then since you have nine balls of yarn you going to take out the 9.45
The cost of each wool ball will be $2.14.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Jessie bought 4 balls of wool to knit sweaters for her children and 5 balls of wool for herself. Then she spent $9.45 on knitting accessories. The total cost of the wool and the accessories was $28.71.
Let x be the cost of each wool ball. Then the equation will be
9x + 9.45 = 28.71
Simplify the equation, then we have
9x = 28.71 - 9.45
9x = 19.26
x = 19.26 / 9
x = $2.14
The cost of each wool ball will be $2.14.
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The annualized interest on Jill’s two investments amounted to 1560. The savings account earned 3% And the cd earned 5% interest. If the amount she deposited in the savings was twice the amount of her deposit in the cd, how much did she deposit into each account
Based on the annualized interest from the investments that Jill went into, the amount deposited in savings was $28,363.64 and the amount in the cd was $14,181.82.
How find the amount deposited?Assuming that the amount invested in the cd was x, then the amount invested can be modeled as:
= 5%x
= 0.05x
The amount invested in savings was:
= 2 x 3% x
= 2 x 0.03x
= 0.06x
The amount invested in cd was:
0.06x + 0.05x = 1,560
0.11x = 1,560
x = 1,560 / 0.11
x = $14,181.82
The amount in the savings was:
= 14,181.82 x 2
= $28,363.64
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Can u guys answer my question 13 and 14 pls
Answer:
√2=1.414
then :√8 +2√32 +3√128+4√50
√8=√2³ =2√2
2√32=√2^5 = 4*2√2 = 8√2
3√128 = 3√2^6*2=8*3√2 =24√2
4√50 =4√5²*2= 20√2
add results : 2√2+8√2 +24√2+20√2=54√2
54√2=54×1.414=76.356 ( it is not in the options)x=7-4√3
√x+ 1/√x
√(7-4√3) +1/√(7-4√3) =
(8-4√3)/√(7-4√3)
(8-6.93)/√(7-6.93) = 4 ( after rounded to the nearest whole number)
4 is your answer
helpppppppppppppppppppppppppppppppppppp
Answer:
£120
Step-by-step explanation:
original_price = discounted_price / (1 - discount / 100)
78/(1-35/100)=120
How to do this question????
The values of A-B and B-A are 27 and 36.
We are given that;
WA=(x/x=3".n≤6,nEN)
B= (x/x=9",n≤ 4,n € N)
Now,
First, let’s write the sets A and B using roster notation, which means listing all the elements inside curly braces.
A = {x | x = 3n, n ≤ 6, n ∈ N} = {3, 6, 9, 12, 15, 18}
B = {x | x = 9n, n ≤ 4, n ∈ N} = {9, 18, 27, 36}
Now, let’s find A - B by removing the elements that are common to both sets from A.
A - B = {3, 6, 9, 12, 15, 18} - {9, 18, 27, 36} = {3, 6, 12, 15}
Similarly, let’s find B - A by removing the elements that are common to both sets from B.
B - A = {9, 18, 27, 36} - {3, 6, 9, 12, 15, 18} = {27, 36}
Therefore, by the equation the answer will be 27 and 36.
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An experiment involving a gender selection method includes an experimental group of 15 couples who are given a treatment that increases the probability of having a girl to 60%. Each of the 15 couples has one child. Find the mean (expected value) for the number of girls in such groups of 15.
Each of the 15 couples has one child. The mean (expected value) for the number of girls in such groups of 15 is 9.
To find the mean (expected value) for the number of girls in the experimental group of 15 couples, we need to use the formula for the expected value of a binomial distribution:
E(X) = np
where E(X) is the expected value, n is the number of trials, and p is the probability of success.
In this case, n = 15 (since there are 15 couples in the experimental group) and p = 0.6 (since the treatment increases the probability of having a girl to 60%). Therefore:
E(X) = np = 15 x 0.6 = 9
So the mean (expected value) for the number of girls in such groups of 15 is 9. This means that, on average, we would expect to see 9 girls born in the experimental group of 15 couples who received the gender selection treatment.
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Nicole accepted a new job at a company with a contract guaranteeing annual raises. In the first year, Nicole's salary will be $100000 and after working for the company for 5 years, she will have a salary of $110000. Write an equation for S,S, in terms of n,n, representing Nicole's salary after working nn years for the company.
Answer:
S=2000n+100000
Step-by-step explanation:
Since Nicole will have a salary of $110000 after working 5 years for the company, we know that S = 110000 when n = 5.
Find the slope using the two points.
110000 - 100000 10000
m = ------------------------ = ---------- = 2000
5-0 2
The slope shows how much the salary increases each year, which is the same thing as saying that Nicole got a raise of $2000 every year.
Look at the right-angled triangle ABC.
A
320
B
С
The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Renting a bike at Jerry’ hop cot $20, plu $5 an hour. Renting a bike at Ben’ hop cot $5, plu $10 an hour. After how many hour will both rental hop be equal?
After 5 hours, both rental shops will be equal.
How to solve word problems?
It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.
Aloud to yourself, read the issue.Make a Drawing.Ask yourself, "What am I looking for?"List the items that have been provided.Locate the key phrases.Solve.Verify your work.Check with approximate values to find the answer:
$20 initial fee + 5 hours x $5/hr
= $45
After 5 hours, the total cost at Jerry's hop cot would be $45 .
Now, Ben's shop:
$5 initial fee + 5 hours x $10/hr
= $45
The total cost at Ben's hop cot would also be $45.
Hence, After 5 hours, both rental shops will be equal.
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Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
\((y-k)=n(x-h)^2\)
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
\(\dfrac{1}{n}(y-k)=(x-h)^2\)
\(p(y-k)=(x-h)^2\)
where \(p=\dfrac{1}{n}\), the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, \(|-0.5|=0.5\)
For option B, \(|5|=5\)
For option C, \(|8|=8\)
For option D, \(|-10|=10\)
Since, the equation is option A has smallest value of |p|, therefore, the equation \((x+2)^2=-0.5(y+3)\) represents the steepest parabola.
Hence, the correct option is A.
A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.
If the wheel has a radius of 30 centimeters and a height of 20 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)
A: 792,000 over 7 square centimeters
B: 66,000 over 7 square centimeters
C: 26,400 over 7 square centimeters
D: 2,640 over 7 square centimeters
The cylindrical wheels covers about 9428.7 squared centimeter
Area of CylinderThis is the total area covering the entire body of the cylinder.
The formula of surface area of a cylinder is given as;
A = 2πrh + 2πr²
A = Area of cylinderh = height of cylinderr = radius of cylinderA = 2(22/7) × 30 × 20 + 2(22/7)×30²
A = 9428.57 cm²
The area of the wheel is 9428.7cm²
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Answer:
Step-by-step explanation:
What is the slope of the line passing through the points (1, -5) and (4, 1)?
Answer: 2
Step-by-step explanation: i used my brain
what is the transitive property
Answer:
the transitive property of uniformity reveals to us that on the off chance that we have two things that are equivalent to one another and the subsequent thing is equivalent to a third thing, at that point the primary thing is additionally equivalent to the third thing. The recipe for this property is in the event that a = b and b = c, at that point a = c.
I have attached the definition below with an example too.
does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?
Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.
What is eccentricity?In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.
Here,
In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.
As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.
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each of two pesticide brands is applied to 100 containers of fire ants. brand1 killed all ants in 65 of 100 containers within two hours, and brand 2 killed all ants in 58 of 100 containers within two hours.
The pValue is 0.15625 > 0.05 when brand1 killed all ants in 65 of 100 containers within two hours, and brand 2 killed all ants in 58 of 100 containers within two hours in hypothesis.
Let A represent the new pesticide and B be the Ant Killer. Then, you are given that
Brand1 kills ants in 65 of 100 containers:
Xa = 65/100 = 0.65
Brand2 kills ants in 58 of 100 containers:
Xb = 58/100 = 0.58
You know need to find sample variance for both,
s²A =∑(Xi - Xa)
= 65(1-0.65)² + 35(0 - 0.65)²
= 22.7
s²B =∑(Xi - Xb)²
= 59(1-0.59)² + 41(0 - 0.59)²
= 24.19
You can know do a test for significance
t = (Xa - Xb) / √(sA /nA) +(sB/nB)
and derive the conclusion from there
Here, Null and alternative hypothesis are generally,
Alternative hypothesis
Here, there are three samples are assumed. They are:
i) Samples are taken independently
ii) Samples must be selected randomly
iii) n₁p₁ ≥ 5 , n₁q₁ ≥ 5, n₂p₂ ≥ 5, n₂q₂ ≥ 5
i.e., p₁ = 0.65 ; p₂ = 0.58 , n₁= 100
q₁ = 0.35 ; q₂ = 0.42 , n₂=100
Corresponding p-value at Z = 1.01722
p-value = 0.15625 > 0.05
Hence, the pValue is 0.15625 > 0.05 when brand1 killed all ants in 65 of 100 containers within two hours, and brand 2 killed all ants in 58 of 100 containers within two hours in hypothesis.
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Which situation describes exponential decay? a. The value of a piece of machinery decreases by 19% every year. B. The value of a piece of machinery decreases by $5000 every year
The situation that describes exponential decay is (a) The value of a piece of machinery decreases by 19% every year.
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
Exponential decay is a mathematical term used to describe the process of decay that happens at an exponential rate.
In this case, the value of the machinery decreases by a percentage every year.
Since the percentage decrease is constant over time, this is an example of exponential decay.
On the other hand, option (b) describes a linear decrease in value since the value decreases by a constant amount of $5000 every year.
Hence, the situation that describes exponential decay is (a) The value of a piece of machinery decreases by 19% every year.
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a statistics instructor collects the gpa and major of each student in a statistics class. major is which level of measurement?
The major variable in this statistics class is considered a nominal variable.
The major variable is considered a nominal level of measurement because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.
In other words, the values assigned to different majors (e.g. Engineering, English, History) do not represent numerical quantities or differences.
The level of measurement of a variable determines the type of statistical analyses that can be conducted with that variable. In this case, the major variable is considered a nominal variable because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.
Nominal variables are often used to categorize or group data based on non-numeric characteristics, such as gender, race, or occupation. By collecting data on both GPA and major, the statistics instructor can explore relationships between these variables, such as whether certain majors tend to have higher or lower GPAs.
In conclusion, the major variable in this statistics class is considered a nominal variable.
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What is the reciprocal of 1/x^3
Answer:
x^3
Step-by-step explanation:
reciprocal is 1/(given value)
1/(1/x^3)
=x^3
12.
ΥΥΥΥΥ
help please
Answer:
لطفا دانش مغز بزرگ من تست من قاشق تخم مرغ لاک پشت راه من را از طریق شما
Step-by-step explanation:
Answer:
I believe th e andwer to that is y5
Racquel has 68 feet of fencing. She uses the fencing to construct a rectangular garden that is 16 feet longer than it is wide. What is the area of the garden?
The area of the rectangular garden is 225 square feet.
Let's denote the width of the rectangular garden as x feet. Since the garden is 16 feet longer than it is wide, the length of the garden can be expressed as x + 16 feet.
The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter is equal to the total length of the fencing, which is 68 feet.
So we can write the equation:
2(x + (x + 16)) = 68
Simplifying this equation, we have:
2(2x + 16) = 68
4x + 32 = 68
4x = 68 - 32
4x = 36
x = 36/4
x = 9
Therefore, the width of the rectangular garden is 9 feet, and the length is x + 16 = 9 + 16 = 25 feet.
To find the area of the garden, we multiply the width by the length:
Area = width * length = 9 feet * 25 feet = 225 square feet.
Hence, the area of the rectangular garden is 225 square feet.
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6×(0.7 + -0.8) ÷ -2
hhdbhksnchnc
The value of the expression 6×(0.7 + -0.8) ÷ -2 is 0.3.
To calculate the expression 6×(0.7 + -0.8) ÷ -2
we can follow the order of operations (PEMDAS/BODMAS) which states that we should first perform any calculations within parentheses
Evaluate any exponents or multiplication/division operations from left to right, and finally perform addition/subtraction operations from left to right.
Let's break down the expression step by step:
Calculate the sum within the parentheses:
0.7 + -0.8 = -0.1
Multiply the result by 6:
6 × (-0.1) = -0.6
Finally, divide the result by -2:
-0.6 ÷ -2 = 0.3
Therefore, the value of the expression 6×(0.7 + -0.8) ÷ -2 is 0.3.
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identify the place value of the underlined digit 45,210
Answer:
4 = TEN THOUSANDS
5 = THOUSANDS
2 = HUNDREDS
1 = TENS
0 = ONES
Step-by-step explanation:
hope it helps u
The volume of the prism is 275 cm³ the area of the base of the prism is 25 square centimeters what is the height of the prism
Answer:
11
Step-by-step explanation:
volume of a prism = area of base × height
plug in what we are given
volume = 275cm³area of base = 25cm²275 = 25 × height
==> divide both sides by 25
11 = height
The chart below shows how far an object travels over a certain time.
A 3-column table with 4 rows. Column 1 is labeled Seconds with entries 4, 8, 12, 16. Column 2 is labeled Inches with entries 18, 36, 54, 72. Column 3 is labeled feet with entries 1.5, 3, blank, 6.
After 12 seconds, how far, in feet, will the object travel?
It will travel
feet.
Answer:
I had my child look for the patterns. We found the answer of 4.5. I had her add another 1.5 which gave us the number 6 in the chart to show proof to her.
Answer:
The answer is 4.5
Step-by-step explanation:
Hope this helps you/everyone :)
Please help this is one of my final questions (20 POINTS)
Answer:
y=15
Step-by-step explanation:
x=1substitute x=1 into y=3×5*solve the equation y=3×5 with the 1 above the 5which equals y=15in a certain country, the probability that a baby that is born is a boy is 0.52 and the probably that a baby that is born is a girl is 0.48. a family has two children. if x is the number of girls born to a family, find the probability that the family has 0, 1, or 2 girls
Answer:
The sum of the probabilities of all possible outcomes must equal 1.
Step-by-step explanation:
To solve this problem, we can use the binomial distribution, since we have a fixed number of trials (two children) and each trial has two possible outcomes (boy or girl) with a known probability of success (0.48 for a girl).
Let X be the random variable representing the number of girls born to the family. Then X follows a binomial distribution with parameters n = 2 (the number of trials) and p = 0.48 (the probability of success). The probability mass function (PMF) of X is given by:
P(X = k) = (n choose k) * \(p^{k}\) * \((1 - p)^{(n - k)}\)
where (n choose k) = \(\frac{n! }{(k! * (n - k)!)}\) is the binomial coefficient.
To find the probability that the family has 0, 1, or 2 girls, we need to calculate the values of P(X = 0), P(X = 1), and P(X = 2):
P(X = 0) = (2 choose 0) * \(0.48^{0}\) * \(0.52^{2}\) = 0.2704
P(X = 1) = (2 choose 1) * \(0.48^{1}\) * \(0.52^{1\\}\) = 0.4992
P(X = 2) = (2 choose 2) * \(0.48^{2}\) * \(0.52^{0}\) = 0.2304
Therefore, the probability that the family has 0, 1, or 2 girls is:
P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2704 + 0.4992 + 0.2304 = 1
Note that the sum of the probabilities of all possible outcomes must equal 1.
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Practice
Use the slope formula to find the slope.
12
(0,3)
113, 1)
11-4, -3)
Slope of lineli
Slope of line 12
Questions have about this lesson
1
Tamika needs 152 cups of lemonade for the picnic. There are 16 cups in 1 gallon. Which of the following shows a correct solution for g, the number of gallons of lemonade Tamika will need?
?
Answer:
9.5 gallons
Step-by-step explanation:
Since 1 gallon equals 16 cups, divide the number of cups by 16 to find the number of gallons.
152/16 = 9.5
Answer: 9.5 gallons