The family received a percentage raise of 0.98% on their $88,000 yearly income.
How to find the percentage raise received on the family's $88,000 yearly income.To solve the problem, we can use the following formula:
Percentage raise = [(New value - Old value) / Old value] x 100%
We know that the family experienced a loss of $1,760 in purchasing power last year, which means their old value was $88,000 + $1,760 = $89,760.
We also know that the inflation rate was 3%, which means the new value is:
New value = Old value + (Inflation rate x Old value)
New value = $88,000 + (0.03 x $88,000)
New value = $90,640
Using the formula above, we can now calculate the percentage raise:
Percentage raise = [(New value - Old value) / Old value] x 100%
Percentage raise = [($90,640 - $89,760) / $89,760] x 100%
Percentage raise = ($880 / $89,760) x 100%
Percentage raise = 0.98%
Therefore, the family received a percentage raise of 0.98% on their $88,000 yearly income.
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suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm? (round your answers to four decimal places.)
A random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm is 0.0749.
In the given question,
18-year-old American males stated that the sample mean waist circumference was 86.3 cm.
The populations mean waist size is 85 cm.
The population standard deviation is 15 cm.
We have to find, a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm.
H(0): μ = 85
H(A): μ > 85
Sample mean(X) = 86.3
Standard deviation(σ) = 15
Standard error of mean =σ/√n
Standard error of mean (SE) = 15/√277
SE = 15/16.6433
SE = 0.9013
z = (X- μ)/SE
z=(86.3-85)/0.9013
z = 1.4424
P(z > 1.4424) = 0.0749
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The right question is;
The National Health Statistics Reports dated Oct. 22, 2008 stated that for a sample size of 277. 18-year-old American males stated that the sample mean waist circumference was 86.3 cm.
Suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm? (Round your answers to four decimal places.)
I need a math genius
Answer:
yuh?
and what help do you need from me?
im a math genius, thank you very much
:)
Find the Y and X interprets for:
5x-10y= 30
Answer:
x-intercept: 6
y-intercept: -3
Step-by-step explanation:
5x - 10y + 30
Start with: 5x = 30
divide the 5 with 30:
5x = 30
5 5
and 30 divide 5 is 6.
then do: -10y = 30
-10y = 30
-10 -10
30 divide -10 is -3.
I don´t really know how to explain it but yeah, there you go
Anyways, have a nice day and your welcome!
Find a linear inequality with the following solution set. Each grid line represents one unit.(Give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1.)
Answer:
-x + 2y + 1 > 0
Step-by-step explanation:
Let's find the equation of the dashed line first. From the graph, we can see that it has a slope of 1/2 and a y-intercept of -1/2 so using slope-intercept form, the equation of the line is y = 1/2x - 1/2. Since the line is dashed and not solid, we know that we will use either < or > instead of ≤ or ≥, and because we can see that the shaded region is above the dashed line, we know that the linear equation is y > 1/2x - 1/2. However, we want the answer to be in the form ax + by + c > 0 where a, b, and c are integers so therefore:
y > 1/2x - 1/2
= 2y > x - 1
= -x + 2y + 1 > 0
A linear inequality is an expression which make comparison between linear expressions using inequalities. The linear inequality of the graph is: \(-x + 2y +1 > 0\)
First, we calculate the slope of the dashed line using:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Two points on the graph will be:
\((x_1,y_1) = (1,0)\)
\((x_2,y_2) = (3,1)\)
The slope (m) is:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{1-0}{3-1}\)
\(m = \frac{1}{2}\)
The equation of the line is calculated as:
\(y = m(x - x_1) + y_1\)
So, we have;
\(y = \frac12(x - 1) + 0\)
\(y = \frac12(x - 1)\)
Multiply through by 2
\(2y= x - 1\)
Now, we convert the equation to an inequality.
The line on the graph is a dashed line. This means that the inequality is either > or <. Also, the upper region of the graph that is shaded means that the inequality is >.
So, the equation becomes
\(2y > x-1\)
Rewrite as:
\(-x + 2y +1 > 0\)
So, the linear inequality is: \(-x + 2y +1 > 0\)
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if f(1) = 12, f ' is continuous, and 6 f '(x) dx 1 = 16, what is the value of f(6)
To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.
Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:
∫[a to b] f '(x) dx = f(b) - f(a)
In this case, we are given that:
∫[1 to 6] 6 f '(x) dx = 16
We can simplify the integral:
6 ∫[1 to 6] f '(x) dx = 16
Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:
6 f(6) - 6 f(1) = 16
Substituting the given value f(1) = 12:
6 f(6) - 6(12) = 16
6 f(6) - 72 = 16
Next, we isolate the term with f(6):
6 f(6) = 16 + 72
6 f(6) = 88
Finally, we solve for f(6) by dividing both sides by 6:
f(6) = 88 / 6
f(6) = 44/3
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A 7-year-old boy was struck by a car while riding his bicycle. his bp is 60/40 mm hg, pulse is 160 beats/min, and respirations are 34 breaths/min. how much iv fluid should you administer per bolus?
If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.
What should be done to provide first assistance in the event of an accident?To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.
In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.
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Together,teammates Pedro and Ricky got 2686 base hits last season.Pedro had 280 more hits than Ricky.how many hits did each player have?
Pedro had base hits
Answer:
Step-by-step explanation:
2686 = P + R
2686 = (208 +R) + R
2478 = 2R
1239 = R
therfore
P = R + 208
P = 1239 +208
P = 1447
Let f(x) = x − 2 and g(x) = x^3. What is (f ◦ g)(2)?
Please help me with the second question please asap
No spam answer plz
Answer:
\(-2x^2y+3xy^2\)
Step-by-step explanation:
The terms \(5x^2y \text{ and } -7x^y\) are like terms.
The terms \(2xy^2 \text{ and } xy^2\) are like terms.
Remember, \(xy^2\) means \(1x^2y\).
the equivalent metric length of a 3-inch scar would be
Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.
Explanation: Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used.3 inches is the measurement of the scar in customary units. To convert 3 inches to metric units, multiply it by the conversion factor. There are 2.54 centimeters in one inch, which is the conversion factor. To find the equivalent metric length of a 3-inch scar, multiply 3 by 2.54. Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters. The equivalent metric length of a 3-inch scar would be 7.62 centimeters. Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used. There are 2.54 centimeters in one inch, which is the conversion factor.
Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.
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What is binomial distribution table ?
Answer:
Step-by-step explanation:
A binomial distribution table is a table that lists the probabilities of obtaining a specific number of success outcomes in a fixed number of independent trials, given a constant probability of success in each trial. The binomial distribution is a discrete probability distribution that describes the number of success outcomes in a fixed number of independent trials with a binary outcome (success or failure).
The table lists the probabilities of obtaining k successes in n trials, where k is a non-negative integer and n is a positive integer. The probabilities are calculated using the binomial formula, which is given by:
P(k successes in n trials) = (n choose k) * p^k * (1 - p)^(n-k)
where (n choose k) is the number of ways to choose k success outcomes from n trials, p is the probability of success in each trial, and (1 - p) is the probability of failure in each trial.
Binomial distribution tables are useful for solving problems related to counting and probability, especially in situations where the number of trials is fixed and the probability of success is constant. They can also be used for hypothesis testing, calculating confidence intervals, and estimating population proportions in statistical applications.
BRAINLIEST PERSON WHO GETS IT
Nyoko wrote these two questions.
Equation 1: 6x-5+2x = 4(2x-1) - 1
Equation 2: 3x +7 = bx+7
Part A
Nyoko says that Equation 1 has one solution. Do you agree with her? Explain your reasonings.
Part B
Can Nyoko find a value for b in Equation 2 so that the equation has no solutions? Explain Your REASONING!
a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.
b) Nyoko cannot find a value of b so that the equation has no solutions.
How to solve the equations?The equation 1 is given as follows:
6x - 5 + 2x = 4(2x - 1) - 1.
Combining the like terms and applying the distributive property, the simplified equations are given as follows:
8x - 5 = 8x - 4 - 1
8x - 5 = 8x - 5.
As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.
The equation 2 is given as follows:
3x + 7 = bx + 7.
A system of linear equations will have zero solutions when:
The equations have the same slope.The equations have different intercepts.As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.
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FOR 10 POINTS
Find the distance between A and B
Answer:
3cm i think
Step-by-step explanation:
A pole that is 3.5 tall casts a shadow that is 1.77 long. At the same time, a nearby building casts a shadow that is 43.5 long. How tall is the building? Round your answer to the nearest meter.
The height of the building is approximately 79.22 meters, rounded to the nearest meter.
To calculate the angle of elevation, we use the tangent function, which is defined as the ratio of the opposite side to the adjacent side of a right triangle.
We know that the pole is 3.5 meters tall, and its shadow is 1.77 meters long. We can use this information to calculate the angle of elevation of the sun's rays, which is the angle formed between the horizontal line and the line of sight from the top of the pole to the sun.
In this case, the opposite side is the height of the pole (3.5 meters), and the adjacent side is the length of the shadow (1.77 meters). Therefore, we have:
tan(angle of elevation) = opposite/adjacent = 3.5/1.77
Using a calculator, we can find that the angle of elevation is approximately 63.24 degrees.
Now, we can use this angle to find out the height of the building. We know that the shadow of the building is 43.5 meters long, and we want to find its height, which is the opposite side of the right triangle formed by the angle of elevation and the length of the shadow. Therefore, we have:
tan(63.24 degrees) = opposite/43.5
Solving for the opposite, we get:
opposite = 43.5 * tan(63.24 degrees) = 79.22 meters
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You are conducting a hypothesis test at significance level for the proportion of 1 population, with null and alternative hypotheses: ___________________________________ If you made a rough sketch of the sampling distribution of the sample proportion under the null hypothesis, the rejection region would [ Select ]
The rejection region in a hypothesis test for the proportion of one population is typically located in the tails of the sampling distribution of the sample proportion under the null hypothesis.
In hypothesis testing for the proportion of one population, the null hypothesis assumes that there is no significant difference or effect, while the alternative hypothesis proposes that there is a significant difference or effect. The rejection region represents the values of the test statistic that would lead us to reject the null hypothesis in favor of the alternative hypothesis.
When making a rough sketch of the sampling distribution of the sample proportion under the null hypothesis, it is typically assumed to follow a normal distribution. The shape of the distribution is centered around the null value of the population proportion specified in the null hypothesis. The rejection region is determined based on the significance level chosen for the test. The significance level, often denoted as α, determines the probability of rejecting the null hypothesis when it is actually true.
For a two-tailed test, where we are interested in detecting any significant difference from the null hypothesis in either direction, the rejection region would be divided into two equal tails, each representing α/2. For a one-tailed test, where we are specifically interested in detecting a difference in one direction, the rejection region would be located in one tail, representing the full α. The specific cutoff values for the rejection region depend on the chosen significance level and the distributional assumptions.
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pression
Evaluate the expression -0.4(3x - 2) + 2 + 4 for x=4
Answer:
2
Step-by-step explanation:
In this question, we will have to solve the expression with our given variable.
Plug in 4 to x and solve:
-0.4(3(4) - 2) + 2 + 4
-0.4(12 - 2) + 2 + 4
-0.4(10) + 2 + 4
Evaluate -0.4(10):
-4 + 2 + 4
-2 + 4
2
Your final answer would be 2.
Identify the area of the figure rounded to the nearest tenth
Answer:
118.7 inches squared.
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The expression for solving the area of a circle is A = π × \(r^{2}\).
To solve for the semicircle above, we can divide the diameter into 2 to get the radius.
12 ÷ 2 = 6So, the radius of the upper semicircle is 6 inches.
If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.
A = π × \(6^{2}\)This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.
To solve for the lower semicircle, we can do the same this as we did above.
A = π × \(r^{2}\)But wait, we don't know the radius or diameter!
No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.
To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.
6 ÷ 2 = 3So, the radius of the circle is 3.
Now we can insert 3 into the expression.
A = π × \(3^{2}\)This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.
Adding the two semicircles together:
18π + 4.5π = 22.5π22.5 × π ≈ 70.6858So, the area of both semicircles is approximately 70.6858 square inches.
To solve for the area of a rectangle we use the expression:
A = length × widthInserting the dimensions of the rectangle:
8 × 6 = 48So, the area of the rectangle is 48 square inches.
Adding the two areas together:
70.6858 + 48 = 118.6858 ≈ 118.7Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).
A cat can jump eight times as high as it is tall. How high could a cat jump if it is 5.6 inches tall?
Answer:
44.8 inches
Step-by-step explanation:
5.6x8
need to write something to let me answer
Answer:
44.8 inches
Step-by-step explanation:
Hope this helps
Please help, it’s not college math!!
Answer: The first answer choice
AKA: y = -1.74x + 46.6
Step-by-step explanation:
find the area of the parallelogram. the figure is not drawn to scale 44 38 35
The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.
To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:
Area = side1 * side2 * sin(angle)
Plugging in the values, we have:
Area = 44 * 38 * sin(35 degrees)
To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.
Area = 44 * 38 * sin(0.610865)
Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.
Area = 44 * 38 * 0.5815
≈ 1008.77 square units
Therefore, the area of the parallelogram is approximately 1,008.77 square units.
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What is the area of this quadrilateral?
2 ft
3 ft
8 ft
8 ft
3 ft
2 ft
A. 40 square feet
B. 80 square feet
C. 24 square feet
D. 20 square feet
a pressure gauge mounted at the bottom of an open tank of water indicates 17 psig. the level of water in the tank is______.
It is not possible to determine the level of water in the tank using only the given information. To determine the level of water in the tank, we need to know either the height of the water column or the total pressure at the bottom of the tank, which includes the pressure due to the water column and the pressure due to the atmosphere.
Therefore, we can't fill the blank with any value since the problem does not provide any information regarding it. In order to find the level of water in the tank, we need to know either the height of the water column or the total pressure at the bottom of the tank, which includes the pressure due to the water column and the pressure due to the atmosphere.
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Evaluate the function. f(x)=−x^2 −6x+12 Find f(4)
1. How to find f(4)?
I explained how to find f(5) in your previous question. It is exactly the same. We substitute x = 4 in the equation.2. Substitution and Evaluate
\( \large{f(4) = - {(4)}^{2} - 6(4) + 12} \)
Follow BODMAS/PEMDAS rules as well! Exponent first.
\( \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}\)
3. Final Answer
f(4) = -28.7 cm
3 cm
A square has the same perimeter as the rectangle.
What is the side length of this square?
I
Answer:
20 is the perimeter
20÷4=5
each side of a square is 5cm
Step-by-step explanation:
Hope it helps!!!
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Which of these equations represents that 5 less than 10 times a number is 15?
A) 10n - 5 = 15
B) 5n - 10 = 15
C) (5 - 10)n = 15
D) 5 - (10 + n) = 15
The equations represents that 5 less than 10 times a number is 15 is option A) 10n - 5 = 15
How can the number be determined?Equation with polynomials on both sides is known as an algebraic equation or polynomial equation (see also system of polynomial equations). They are further divided into levels: linear formula for level one.
The statement "5 less than 10 times a number is 15" is one that can be translated into an equation.
For example, Let's use the variable 'n' to stand for the unknown number.
The phrase "10 times a number" can be shown as 10n.
The statement "5 less than 10 times a number" implies subtracting 5 from 10n, and that gives us 10n - 5.
So, one have the equation 10n - 5 = 15.
This equation implies that "10 times a number, reduced by 5, is equal to 15." It stands for the relationship shown in the original statement.
Therefore, option A) 10n - 5 = 15 is the correct equation that stand for the given scenario.
To simplify it:
10n - 5 = 15
10n= 15 +5
10n =20
n = 20/10
n = 2
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The volume of a cone is 800/3 π cubic yards. The height is 8 yards. Find the radius.
Answer:
ur mom
Step-by-step explanation:
there is none, it's just simply ur mom
- hope that solved ur problem :)
- Im ur dad btw
- Mac and cheese is pretty good 10/10
- DADDY
Angles p and q are complementary. p is four times the size of q. what is the size of q.
Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.
To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.
Substituting 4q for p, we get:
4q + q = 90
Combining like terms:
5q = 90
To solve for q, we divide both sides of the equation by 5:
q = 90/5
Simplifying:
q = 18
Therefore, the size of angle q is 18 degrees.
when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.
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I will mark you the Brainliest person who gets this right
Answer:
B (x^2 +4x -2) + (x^2 -2x +4)= 2x^2 +2x +2
Step-by-step explanation:
The blue are positive and the red are negative
The top line is x^2 +4x -2
The second line is x^2 -2x +4
Adding together
x^2 +4x -2 + x^2 -2x +4= 2x^2 +2x +2
the maked pieceof a t shirt is 220. a discount of 20% is announced on sales. then the selling price is
In this case, the marked price of 220 is the cost price and discount of 20% is announced on sales, so the selling price is 176.
How is this determined?The t-shirt costs $166.5 to purchase. To do this, multiply the listed price (220) by the discount rate (20%) stated as a decimal. This will give you the amount of the discount (0.20).
220*0.20 =44
The selling price is then determined by deducting the discount (44) from the marked price (220):
220-44 =176
Before applying any markups or reductions, the retailer paid the item's cost price, commonly referred to as the wholesale price. The price a consumer pays to purchase an item is known as the selling price. The selling price will be less than the advertised price if a discount is being offered, and the difference between the two represents the discount.
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what is the exponential equation