Answer:
$37.50
Step-by-step explanation:
90.00x25%=22.50
90.00+22.50=112.50
112.50÷3=37.50
tonya pays $300.each month to rent a office were she earns $25 per hour tutoring students. which equation repersants tonyas profit,y, for working x hours?
Answer:
y=25x + 300
Step-by-step explanation:
(92)4 in scientific notation BIG POINTS I HAVE UNTIL MIDNIGHT PLS HELP
A.) 9^8
B.) 9^7
C.) 9^6
Answer:
A. 9^8
Step-by-step explanation:
multiply the exponents
3. Which shows three ratios equivalent to 8:20? A. 2:5, 4:10, 6:15 B. 2:5. 10:4, 6:15 C. 5:2. 4:10. 156 D. 5:2. 10:4. 15:6
Answer:
The answer is B.
2:5
10:4
6:15
A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent
Answer:
11%
Step-by-step explanation:
I think that's the answer just check first
Whats a transformation
the act or process of changing completely
Which equation represents the relationship between their measures? mangle1 mangle2 = 90° mangle1 mangle2 = 100° mangle1 mangle2 = 180° mangle1 mangle2 = 200°
A triangle's internal angles add up to a total of 180°. This indicates that a triangle's complete turn from one angle to another is equivalent to 180 degrees. Regardless of the triangle's size or shape, there is a link between the measurements of its internal angles.
The sum of the two angles' measurements would also equal 180° if we think of a straight line as a degenerate triangle with two of its angles each measuring 180°. So, the equation for the connection between two angles' measurements is:
Mangle1 + Mangle2 = 180°
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Find the volume of the given prism. Question 3 options: A) 3,568 in3 B) 1,920 in3 C) 6,336 in3 D) 1,784 in3
The area of the given prism is equal to 1,920 in³.
What is a rectangular prism?
A rectangular prism is simply a three-dimensional solid shape which with six faces that are rectangles.
We have given,
length l = 8 in.
width w = 12 in,
height h = 20 in.
The volume of a prism is defined as the total space occupied by the three-dimensional object.
The volume of a rectangular prism is given by A = l * w * h,
where 'l' is the length of the prism, 'w' is the width, and 'h' is the height.
so, A = 8 * 12 * 20 = 1,920 in³.
A = 1,920 in³.
Therefore, the area of the given prism is equal to 1,920 in³.
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Semicircles of diameter 2'' are lined up as shown. What is the area, in square inches, of the shaded region in a 1-foot length of this pattern?
The shaded region is made up of the area of a rectangle minus the areas of the semicircles. The semicircles have a diameter of 2 inches, so the radius of each semicircle is 1 inch.
The area of each semicircle can be found using the formula pir^2, where r is the radius. So the area of each semicircle is pi1^2 = pi square inches.
The area of the rectangle is found by multiplying the length by the width: 1 foot * 12 inches/feet = 12 square inches.
The shaded region is the area of the rectangle minus the area of the semicircles. So the area of the shaded region is 12 square inches - 2* pi square inches = 12 - 2* pi square inches.
It's important to note that the length of the shaded region is given in feet (1-foot) but the area of the semicircles and the rectangle is given in square inches.
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If belle buys 6 apples for $18 how much is one apple
Answer:
3 Dollars
Step-by-step explanation:
18/6 = 3
Can someone solve this for me? Common factor first! Thank you.
Answer:
\( 5 {(x - 4)}^{2} \)
Step-by-step explanation:
\(5 {x}^{2} - 40x + 80 \\ =5( {x}^{2} - 8x + 16) \\ = 5 ( {x}^{2} - 8x + {4}^{2} ) \\ = 5 {(x - 4)}^{2} \)
Answer:
\(\boxed{\sf \ \ \ 5(x-4)^2 \ \ \ }\)
Step-by-step explanation:
hello
step 1 - divide by 5
\(5x^2-40x+80=5(x^2-8x+16)\)
step 2 - solving the square
\((x-4)^2=x^2-8x+16\)
Finally, to answer the question
\(5x^2-40x+80=5(x-4)^2\)
hope this helps
if you are studying the relationship between the number of hours of overtime assigned at your facility and the number of defects in your product, what would the independent variable be?
The independent variable in a study is the one that can be controlled or manipulated, and in this case, it is the number of hours of overtime assigned at the facility.
To better understand the relationship between the two variables, we can use mathematical terms. Let's consider X as the independent variable, which represents the number of overtime hours assigned, and Y as the dependent variable, which represents the number of defects in the product. In this case, we can express the relationship between X and Y as:
Y = f(X)
This means that the value of Y is a function of the value of X. In other words, the number of defects in the product depends on the number of overtime hours assigned.
To determine the nature of the relationship between X and Y, we can plot a graph with X on the horizontal axis and Y on the vertical axis. If the graph shows a positive correlation, it means that an increase in X leads to an increase in Y, and vice versa. On the other hand, if the graph shows a negative correlation, it means that an increase in X leads to a decrease in Y, and vice versa.
Finally, if there is no correlation, it means that there is no relationship between X and Y.
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A bag contains 4 red marbles, 9 blue marbles, and 7 white marbles. What is the probability of picking neither a blue nor a white marble?
Answer: 1/5 or 20%
Step-by-step explanation:
4 red + 9 blue + 7 white = 20 total
neither blue nor white means it has to be red so 4/20 or 1/5
26. jury. census data for a certain county show that 19% of the adult residents are hispanic. suppose 72 people are called for jury duty and only 9 of them are hispanic. does this apparent underrepresentation of hispanics call into question the fairness of the jury selection system? explain.
Yes, the jury selection process is called into question by the apparent underrepresentation of Hispanics.
What is hypothesis?A formal statement that explains the link between two or more variables in a specific population is referred to as a hypothesis in statistics. This aids the researcher in converting the presented issue into an understandable justification of the study's findings. It explains and foretells the anticipated result in unambiguous terms. It demonstrates the many forms of experimental design and directs the analysis of the research methodology.
Given that,
sample size = 72
Number of success = 9
The hypothesis thus states that:
H0: μ = 0.19 versus H1: μ < 0.19
The sample proportion is given by the formula:
p = X/n = 9/72 = 0.125
The statistics of the test is calculated using the formula:
Z = p' - p / p(1-p)/n
Z = 0.125 - 0.19 / (0.19 (1- 0.19)/ 72)
Z = -1.40
The z-value is:
p(z < -1.40) = 0.0792
We fail to reject the null hypothesis as p-value is greater than level of significance.
Hence, there is insufficient data to support the claim that the proportion of Hispanic adults is lower than the total number of adult residents.
Undoubtedly, the jury selection process is called into question by the apparent underrepresentation of Hispanics.
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The probability of spinning a blue colour on a spinner is 0.4 Find the probability of not spinning a blue colour.
Answer:
0.6
Step-by-step explanation:
WE KNOW THAT
P(E)+P(F)=1
P(E)=0.4
NOW
P(E)+P(F)=1
0.4+P(F)=1
P(F)=0.6
HENCE THE PROBABILITY OF NOT SPINNING A BLUE COLOUR IS 0.6
Probability of not spinning a blue colour is 0.6
We know that sum of all Probability is 1,
So the probability of not spinning a blue is = 1 - Probability of spinning a blue colour.
Putting values we get, = 1 - 0.4 = 0.6
Hence the probability of not spinning a blue colour is 0.6
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how many nickels will you need to buy a candy bar that's 20 c
Answer:
4 Nickles
Step-by-step explanation:
to find this out we can devide the total cost (20 ¢) by the worth of the coin we are using (1 Nickel = 5 ¢) as shown below
20 ÷ 5 = 4
what this equation shows is that 4 nickels are needed to add up to a total of 20 ¢
hope this helps
side note, i dont usually say this but at the moment i am 2 crowns away from my next level, so if the answer seems fit to you a crown would be, depending on the other answer, thank you
EDIT:
Additional Example
this method can be applied to most situations, even if you need multiple coin types
say Ron wants to buy a 57 ¢ apple pie slice in exact change, lets assume he has a surplus in the four common coins in his wallet book or pocket
first he uses a quarter and divides as follows
57 ÷ 25 = 2 with a remainder of 7
then he can take a coin of less value then the remainder (in this case a nickel since 5 < 7, and not a dime since 10 > 7)
7 ÷ 5 = 1 with a remainder of 2
and finally with the pennies
2 ÷ 1 = 2
with this info we know that Ron will need 2 quarters, 1 nickel and 2 pennies to have exact change in the least amount of coins
If you look at a square made up of alternating red and blue stripes for several minutes and then look immediately at a blank white sheet of paper, you will see a square with alternating green and yellow stripes. This effect results from pairs of ________ that work ________.
The effect of seeing a square with alternating green and yellow stripes after looking at a square made up of alternating red and blue stripes is due to pairs of ganglion cells that work in opposition.
Ganglion cells are neurons located near the inner surface of the retina, whose axons form the optic nerve. They receive visual signals from bipolar cells and then send them to the brain via the optic nerve.
In order to understand why we see a square with alternating green and yellow stripes after looking at a square made up of alternating red and blue stripes, it's important to know that there are three types of cones in the retina that respond to different wavelengths of light: blue, green, and red.
When we look at the square made up of alternating red and blue stripes for several minutes, the cells that are responsible for perceiving red and blue colors become fatigued, while the green cones continue to respond normally. This creates an imbalance between the signals being sent to the brain, which then interprets the remaining signals as a mixture of green and red. This is why we see a square with alternating green and yellow stripes.
Pairs of ganglion cells work in opposition in this phenomenon because each ganglion cell receives input from both types of cones that are sensitive to a particular color. In the case of the square made up of alternating red and blue stripes, one group of ganglion cells is receiving more input from the red-sensitive cones, while the other is receiving more input from the blue-sensitive cones. When we look at the blank white sheet of paper, these ganglion cells continue to work in opposition, leading to the perception of green and yellow stripes.
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Numbers that describe diversity in a distribution are referred to as measures of 1) variability. 2) central tendency. 3) standard deviation. 4) association.
Measures of variability describe diversity in a distribution.
Measures of variability describe the spread or dispersion of values in a distribution. They provide information about how spread out or clustered the data points are. Common measures of variability include the range, variance, and standard deviation.
Measures of central tendency, on the other hand, describe the center or average of a distribution. They provide information about the typical or central value around which the data points are located. Common measures of central tendency include the mean, median, and mode.
Standard deviation is a specific measure of variability that quantifies the average amount by which data points in a distribution deviate from the mean. Association refers to the relationship or connection between two or more variables in a dataset, often analyzed using correlation or regression analysis. It is not a measure of diversity in a distribution.
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The probability that a discrete random variable equals any of its values is a. between zero and infinity. b. between zero and 10. c. determined to be zero. d. between zero and one, inclusive.
The probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.
The probability distribution function (PDF) of a discrete random variable includes the following features:
The range of each probability is 0 to 1, inclusive (inclusive means to include zero and one). There is a chance for each occurrence, which is always a number between 0 and 1 inclusive. When a probability gets closer to 1, the likelihood of an event happening rises; conversely, as a probability gets closer to 0, the likelihood of an event happening drops. For instance, if there was no chance of getting into a car accident, this would suggest that it would never happen. You would be entirely safe. If the likelihood is 1, the event will undoubtedly take place.
Therefore, the probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.
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I am plugging a point into my y=mx+b equation. my final result was -3=8/5+b. since I have to combine -3 and 8/5, what would my final result be?
Answer:
b = -23/5
Explanation:
Given the equation
\(-3=\frac{8}{5}+b\)Subtract 8/5 from both sides
\(\begin{gathered} -3-\frac{8}{5}=b \\ \\ b=\frac{(-3\times5)-8}{5} \\ \\ b=\frac{-15-8}{5} \\ \\ b=-\frac{23}{5} \end{gathered}\)A boat is heading towards a lighthouse, whose beacon-light is 121 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
13°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 19°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
Using the trignometry functions we now know that the distance from point A to point B is 1,156.1 ft.
What is the distance?Distance is the sum of an object's movements, regardless of orientation.
Distance can be defined as the amount of space an object has covered, regardless of its beginning or ending point.
A scalar number, distance.
The entire path that an object has taken can be used to determine distance.
The entire distance travelled by a car, for instance, would be 13 km if it traveled 5 km east, 8 km north, and back again.
So, the distance from point A to B would be:
Considering the flat planet -
tan5 = 131 / d₁
d₁ = 131/tan5 = 1,497.3368... ft
d₂ = 131/tan21 = 341.2666674...ft
Distance:
1497.3368 - 341.26666 = 1,156.1 ft
Therefore, using the trignometry functions we now know that the distance from point A to point B is 1,156.1 ft.
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Correct question:
A boat is heading towards a lighthouse, whose beacon light is 131 feet above the water. From point A, the boat's crew measures the angle of elevation to the beacon, 5°, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 21°. Find the distance from point A to point B. Round your answer to the nearest tenth of a foot if necessary.
E(X) and V(X) E(X)=
V(X)=
(b) P(X≤5) (c) P(2≤x≤5)
To calculate the expected value (E(X)) and variance (V(X)), we need the probability distribution of the random variable X. Without the specific probability distribution, it is not possible to determine the exact values of E(X) and V(X).
The expected value (E(X)) is a measure of the average value or central tendency of a random variable. It is calculated by summing the products of each possible value of X and its corresponding probability. Mathematically, E(X) is expressed as:
E(X) = Σ(x * P(X = x))
The variance (V(X)) measures the spread or variability of a random variable. It quantifies how much the values of X deviate from the expected value. V(X) is calculated by summing the squared deviations of each possible value of X from the expected value, weighted by their corresponding probabilities. Mathematically, V(X) is expressed as:
V(X) = Σ((x - E(X))^2 * P(X = x))
To determine P(X ≤ 5) or P(2 ≤ X ≤ 5), we would need the probability distribution or additional information about the random variable X. These probabilities depend on the specific values and probabilities associated with X. Without these details, it is not possible to calculate the probabilities accurately.
In summary, without the probability distribution or further information about the random variable X, we cannot provide the exact values of E(X), V(X), P(X ≤ 5), or P(2 ≤ X ≤ 5). These calculations require knowledge of the specific probabilities and values associated with X.
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En la función de la imagen la ecuación de la asíntota vertical es___
The equation for the asymptote of the graphed function is x = 7
How to identify the asymptote?The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.
Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.
The equation of the line where the asymptote is, is:
x = 7
So that is the answer.
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Decide if the segments can make a triangle. Answer with Yes/No and explain your answer.
9: 8 cm, 12 cm, 16 cm
10: 5 in, 7 in, 20 in
9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.
10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.
Question. 1 The product of a monomial and a binomial is a (a) monomial (b) binomial (c) trinomial (d) None of these
Answer:
The answer to this question is (D)
The function f(x) is shown below.
X
-6
-3
2
5
8
F(x)
1
2
5
3
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
O -6
O -3
O 2
O 5
Answer:
you have to do the function and add the x
Step-by-step explanation:
once you add the x you can take it out the x in the eqution
please help what is #4?
To Prove:-
JK=IJ
JK= ½IK = IJ= ½IK
JK= IJ(Equal Distance)
GK//HI (Parallel)
Therefore, JK congruent IJ
Hope This Helps
Hugo is standing in the top of St. Louis' Gateway Arch, looking down on the Mississippi River. The angle of depression to the closer bank is 45° and the angle of depression to the farther bank is 18° . The arch is 630 feet tall. Estimate the width of the river at that point.
The width of the river at that point can be estimated to be approximately 1,579 feet.
To estimate the width of the river, we can use the concept of similar triangles. Let's consider the situation from a side view perspective. The height of the Gateway Arch, which acts as the vertical leg of a triangle, is given as 630 feet. The angle of depression to the closer bank is 45°, and the angle of depression to the farther bank is 18°.
We can set up two similar triangles: one with the height of the arch as the vertical leg and the distance to the closer bank as the horizontal leg, and another with the height of the arch as the vertical leg and the distance to the farther bank as the horizontal leg.
Using trigonometry, we can find the lengths of the horizontal legs of both triangles. Let's denote the width of the river at the closer bank as x feet and the width of the river at the farther bank as y feet.
For the first triangle:
tan(45°) = 630 / x
Solving for x:
x = 630 / tan(45°) ≈ 630 feet
For the second triangle:
tan(18°) = 630 / y
Solving for y:
y = 630 / tan(18°) ≈ 1,579 feet
Therefore, the estimated width of the river at that point is approximately 1,579 feet.
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Solve the following:
A) a/5+3=8
B) 3b/7-1=5
Answer:
A)25
B) 14
Step-by-step explanation:
A) a/5 + 3 = 8
a/5 = 8 - 3
a = 5 x 5
a = 25
B) 3b/7 -1 =5
3b/7 = 5+1
3b = 6 x 7
b = 42/3
b = 14
5(5/4)-4(5/4)^2+3 solve
Answer:
Step-by-step explanation:
25/4-4(5/4)(5/4)+3
25/4-4(25/16)+3
25/4-100/16+3
100/16-100/16+
3
you must follow order of operations and square 5/4 first, then multiply. Find a common denominator to add your fractions. Here they are opposites and cancel. 3
A book was sold for $575 there by gaining 15%. find the cost price of the book.
Answer:
$661.25
Step-by-step explanation:
x over 575 times 15 over 100
100=86.25
86.25 is the 15% upcharge
so add 86.25 to the original price
so 575 + 86.25
$661.25
i hope this helps, if you have question let me know! goodluck
plz mark brainliest thanks!