Answer:
Step-by-step explanation:
you first take A15 and square it. Then you take B20 and square it also. Then you add them together and that is your answer. the hypotenuse of a triangle.
Answer: Side length C will be 25
Step-by-step explanation:
C^2 = A^2+B^2
15^2+20^2=C^2
225+400=625
Take square root of 625 to get side C
20% of what number is 5
Answer: 25
Step-by-step explanation: 5x5 =25
Answer: 25
20% is one-fifth of a whole. This means we must multiply our known number times five.
5 x 5 is 25.
To make sure that our answer is correct, we can figure out the 20% of 25, which is 5.
This means that 25 is our correct answer.
I hope this helps & good luck <3 !!!
*FIND THE SLOPE OF THE LINE THROUGH EACH PAIR OF POINTS*
d. (-4, 3) and (-6, -8)
e. (-7, -1) and (-7, 2)
f. (9, 4) and (-6, 4)
slope = y2 - y1
______
x2 - x1
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-8}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}} \implies \cfrac{-11}{-6 +4} \implies \cfrac{ -11 }{ -2 } \implies \cfrac{11 }{ 2 } \\\\[-0.35em] ~\dotfill[/tex]
[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{-7}-\underset{x_1}{(-7)}}} \implies \cfrac{2 +1}{-7 +7} \implies \cfrac{ 3 }{ 0 } \implies \stackrel{\textit{vertical line}}{{\Large \begin{array}{llll} unde fined \end{array}}} \\\\[-0.35em] ~\dotfill[/tex]
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{-6}-\underset{x_1}{9}}} \implies \cfrac{ 0 }{ -15 } \implies \stackrel{\textit{horizontal line}}{\text{\LARGE 0}}[/tex]
keep in mind that whenever you notice the x-coordinates are the same, it's a vertical line, and whenever the y-coordinates are the same, is a horizontal line.
a company made 500 flashlights and found five that were defective.if the company makes 12,500 flashlights how many do you predict will be defective
Number of Defects = 12,500 * 0.01 = 125Therefore, we can predict that if 12,500 flashlights are made, then 125 of them will be defective.
The formula for this problem is: Number of Defects = (total number of items)*(percent of defects)For this problem, we know that the total number of items is 12,500 and the percent of defects can be found by taking the 5 defective items out of the 500 items produced, which is 1%.Plugging these numbers into the formula, we get :Number of Defects = 12,500 * 0.01 = 125Therefore, we can predict that if 12,500 flashlights are made, then 125 of them will be defective.
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Please help thank you
The ocean current has a bearing of 19.1°E and travels at a speed of about 16.9 knots.
Why is math speed important?Math is made more fascinating and enjoyable using Speed Maths (Vedic Maths). by assisting the child in quickly performing some improbable computations. By combining the correct amount of enjoyment, memory, skills, memory recall, and formula application, your child will become a superstar performer.
Let's use the letters "c" for OC magnitude and "" for the angle between OC and OD (the present bearing). Next, we have:
c² = 28² + 20² - 2(28)(20)cos(106°)
c ≈ 16.9 knots
Using the law of sines, we can find the angle θ:
sin(53°) / c = sin(θ) / 20
sin(θ) = (20/c) sin(53°)
θ ≈ 19.1°
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For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]A =1 2 11 1 1
AB = [1 0] is the 2x2 identity matrix so, AB=I.
[0 1]
To find a 3x2 matrix B such that AB=I, we need to solve the equation:
A × B = I
where I is the 2x2 identity matrix. We can use the hint given to us to find the columns of B.
Let B1 and B2 be the columns of B. Then we have:
A × B1 = I1
A × B2 = I2
where I1 and I2 are the columns of the 2x2 identity matrix I.
We can solve for B1 and B2 by setting up and solving the following systems of linear equations:
For B1:
1 × B1[1] + 1 × B1[2] = 1
2 × B1[1] + 1 × B1[2] = 0
1 × B1[1] + 1 × B1[2] = 0
For B2:
1 × B2[1] + 1 × B2[2] = 0
2 × B2[1] + 1 × B2[2] = 1
1 × B2[1] + 1 × B2[2] = 0
Solving these systems of equations, we get:
B1 = [-1, 1]
B2 = [1, -1]
Therefore, the 3x2 matrix B that satisfies AB=I is:
B = [-1 1]
[ 1 -1]
[ 0 0]
We can verify that AB is indeed equal to the 2x2 identity matrix I:
A × B = [1 2 1] × [-1 1 0] = [(-1)+2 (1)+(-1) 0+0] = [1 0]
[1 1 1] [ 1 -1 0] [ 1+1 (1)+(-1) 1+0] [0 1]
Therefore, AB = I:
AB = [1 0]
[0 1]
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The question is -
For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]
A = 1 2 1
1 1 1
i have exactly ten coins whose total value is $. if three of the coins are quarters, what are the remaining coins?
it would be 5 pennies and two dimes
if 3 are quarters, that is 75 cents. if you add two dimes, it's now 95, and making the total number of coins 5. then you add 5 pennies, you get a total of 100 cents, one dollar, and now have 10 coins. hope its right
What is the scale factor?
6
3
1/3
1/6
Answer:
3
Step-by-step explanation:
You multiply the pre-image by 3 to get the image numbers.
Answer:
B.3
Step-by-step explanation:
The scale factor is 3 because all of the images are dilated 3 times larger than the preimage.
Rhetta started a typing program in hopes to speed up her typing skills. She started the program typing 40 words per minute. After two weeks, she can now type 56 words per minute. What was her percent of increase for typing?
Her percentage difference in programming in accordance with the statement is 40%.
What is the straightforward meaning of speed?It is discussing speed. the velocity at which the position of an object shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed can be stated as a number since it just has to have 1 element and no magnitude.
You may use the following format to get Rhetta's increased typing speed in percentages:
(New Values - Originally Value) / (Original Value x 100) = Percent Increase
Calculating the percentage increase is as follows: Percentage Point Equals (56 - 40) / 40 x 100 Equals 40% in this instance, where the previous value was 40 words every minute and the new number was 56.
Rhetta was now 40% faster at typing.
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excel ran out of resources while attempting to calculate one or more formulas?
This error message typically occurs when Microsoft Excel is unable to perform a calculation due to running out of memory or system resources.
This can happen when a spreadsheet is extremely large, has many complex formulas or when a large number of calculations are performed simultaneously. To resolve the issue, you can try closing other programs and processes running on your computer, increasing the amount of memory allocated to Excel, breaking down a large spreadsheet into smaller spreadsheets, or simplifying the formulas in your spreadsheet. If these steps do not work, you may need to seek assistance from a technical support expert. This error message typically occurs when Microsoft Excel is unable to perform a calculation due to running out of memory or system resources.
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Explain the error in the solution below. What additional step needs to be completed?
log x – log53 = 2log53
log x = 3log53
log x = log533
x = 27
Is y= -5 a function?
Answer:
It is a function. You can identify when something is a function by finding whether plugging in any x value will result in one y value.
Draw one candy
from the bag.
Pink=10
Purple= 6
Blue= 4
If you replace the candy each time,
predict how many times a purple
candy will be chosen out of 80 draws.
[?] times
Answer:
24 times out of 80 draws
Step-by-step explanation:
The probability of choosing a purple candy is 6 out of 20 candies, or 6/20, which simplifies to 3/10 or 0.3.
If you make 80 draws and replace the candy each time, the number of purple candies selected can be estimated using the expected value formula:
Expected value = number of trials * probability of success
In this case, the expected value is 80 * 0.3 = 24.
So, it can be estimated that a purple candy will be chosen 24 times out of 80 draws.
use subsitution to solve the system y=2x-8 and -3x+4y=-22 x= and y=
(will give branliest)
Answer:
x = 2 and y = -4
Step-by-step explanation:
To solve using substitution, we define one unknown variable in terms of another and sub this into a second equation with both.
We are told y=2x-8 and -3x+4y=-22, so let's sub '2x-8' in for y in -3x+4y=-22:
-3x+4y=-22
-3x+4(2x-8)=-22
-3x+8x-32=-22
5x=10
x=2
If x=2 and y=2x-8, let's sub 2 in for x to find y:
y=2x-8
y=2(2)-8=4-8=-4
the following contingency table shows the number of games won and lost at two locations where a local baseball team had played. wins losses daryl fields 7 3 lincoln park 8 2 what is the probability that the team lost a game if it played at lincoln park? answer choices are rounded to the hundredths place.
Probability 8 2/ 7 3=1.123 that the team lost a game if it played at lincoln park.
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.
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Compare 3/10 and 25/100 which one is greater
Answer:
The answer to your question is 3/10
How do you compare fractions?
First lets find similar fractions
2.5/10 = 25/100 We know that.
Since 3/10 is bigger that 2.5/10 by .5 it would basically conclude that 3/10 is greater/bigger the the fraction 25/100.
Which of the following functions represents an arithmetic sequence?
O f(n)=3"-4"
O f(n)=3n-4
O f(n)=3"-4
O f(n) = 3n²-4
for a subset of patients it has been shown that a certain type of skin lesion will develop into cancer in 34% of patients if left untreated. there is a drug on the market that currently reduces this event rate to 28%. a pharmaceutical company is developing a new drug to treat these lesions but this would be worthwhile only if the new drug can reduce this further to 23%. in planning for a randomized clinical trial, how many evaluable participants are needed to have 80% power to detect a difference of 28% and 23% in the progression to cancer between the current and new drug?
At least 174 participants for the clinical trial, with half of them assigned to the current drug group and half assigned to the new drug group.
To answer this question, we need to consider some statistical concepts. The event rate, or the percentage of patients who progress to cancer, is a key factor in this scenario. The current drug has an event rate of 28%, while the new drug is expected to reduce this further to 23%. We want to detect a difference between these two rates, which is 5 percentage points.
The power of a statistical test is the probability of detecting a true difference between two groups, given that such a difference exists. In this case, we want the power to be at least 80%, which means that we want to have an 80% chance of detecting a true difference of 5 percentage points between the current and new drugs.
To calculate the sample size needed for the clinical trial, we need to consider the expected event rates, the desired power, and the level of statistical significance. The level of significance is typically set at 5%, which means that we are willing to accept a 5% chance of making a type I error (i.e., rejecting the null hypothesis when it is actually true).
Assuming a two-sided test (i.e., testing for a difference in both directions), we can use a formula or an online calculator to determine the sample size. The formula is:
n = (Zα/2 + Zβ)² [p₁(1-p₁) + p₂(1-p₂)] / (p₁ - p₂)²
where n is the sample size, Zα/2 is the critical value of the standard normal distribution at the 2.5% level (for a two-sided test), Zβ is the critical value of the standard normal distribution at the desired power (in this case, 80%), p₁ is the event rate for the current drug (28%), p₂ is the event rate for the new drug (23%), and (p₁ - p₂) is the expected difference in event rates.
Plugging in the values, we get:
n = (1.96 + 0.84)² [(0.28)(0.72) + (0.23)(0.77)] / (0.28 - 0.23)²
n = 173.2
Rounding up to the nearest whole number, we get a sample size of 174 participants.
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Find the Measure of Angle D.
Round to one decimal place if necessary. If your answer
is correct you will see an image appear on your screen.
The measure of angle D is 90 degrees
How to determine the valueThe sum of the interior angle of a parallelogram is equivalent to 360 degrees
From the information given, the measure of the angles are;
17x + 5, 13x + 7 + 118 and 80
Equate the angles to the sum of interior angles
17x + 5 + 13x + 7 + 118 + 80 = 360
collect the like terms, we get;
30x = 360 - 210
substract the like terms
30x = 150
Make x the subject
x = 5
Hence, the angle is 90 degrees
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The measure for the angle m∠D of the quadrilateral CDEF is equal to 90°
How to evaluate for angle m∠D of the quadrilateralFor any quadrilateral, the sum of its four interior angles is equal to 360°, hence we shall calculate for the angle m∠D by first finding the value of x as follows:
17x + 5 + 13x + 7 + 118° + 80° = 360°
30x + 210° = 360°
30x = 360° - 210° {subtract 210° from both sides}
30x = 150°
x = 150°/30
x = 5
m∠D = 17(5) + 5 = 90°
Therefore, the measure for the angle m∠D of the quadrilateral CDEF is equal to 90°.
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The population of a large US city is 1,703,210. Show how you could express this in Scientific Notation
The population of a large US city is 1.70321 × 10⁶ in Scientific Notation.
Scientific NotationIt may be referred to as scientific form or standard index form.
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We know that, a number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
According to the question,
the population of a large US city is 1,703,210. we need to show this number in Scientific Notation.
The number is written in two parts,
The digits, with the decimal point placed after the first digit, followed by × 10 to a power that puts the decimal point where it should be
Therefore,
1,703,210 = 1.70321 × 10⁶.
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Can you please find the area and perimeter
The area and perimeter of the figures are( 15a³b⁴ and 10a²b⁴ + 6ab²), (6m³n² and 4m² + 10mn²) and (8m³n and 4√[m(m+2y²)] + 8mn)
What is the area and perimeter of the figures1.
The area of the rectangle can be calculated using the formula;
A = l * w
A = 5a²b⁴ * 3ab²
A = 15a³b⁴
The perimeter of the rectangle is
P = 2(l + w)
P = 2[(5a²b⁴) + (3ab²)
P = 10a²b⁴ + 6ab²
2.
The area of a triangle is given by
A = 1/2 b * h
A = 0.5 * 4m² * 3mn²
A = 6m³n²
The perimeter of the triangle is calculated as
P = 4m² + 7mn² + 3mn²
P = 4m² + 10mn²
3.
The area of the triangle is given as;
A = 1/2 * b * h
A = 0.5 * 4mn * 4m²
A = 8m³n
The perimeter of the triangle is
Using Pythagoras theorem to find the hypothenuse side
The third side is 2√[m(m + 2n²)]
The perimeter of the triangle is = 4√[m(m+2y²)] + 8mn
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There are 48 girls and 32 boys.The choir teacher plans to arrange the students in equal rows.If the number of boys and girls in each row will be the same as the one before it , what is the greatest number of students that could be in each row?A.4 B.6 C.8 D.12
The greatest number of average students that could be in each row is 8. This is because there are an equal number of girls and boys, so the teacher can arrange them in equal rows with 4 girls and 4 boys in each row.
48 girls/8 students per row = 6 rows
32 boys/8 students per row = 4 rows
Total number of rows = 10
The teacher has 48 girls and 32 boys in the choir and wants to arrange them in equal rows. To accomplish this, the teacher needs to ensure that the same number of boys and girls are in each row. The greatest number of students that can be in each row is 8. This is because if 4 girls and 4 boys are in each row, then the total number of rows will be 6 for the girls and 4 for the boys, totaling 10 rows. This arrangement will allow the teacher to keep an equal number of boys and girls in each row, and will also ensure that the same number of students is in each row. Having 8 students in each row is the most efficient way to arrange the choir, as it will require the least amount of rows and will still keep the number of boys and girls even.
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the ratio of 9 minutes and 600 seconds in its simplest form
Answer:
Step-by-step explanation:
600 secs=600/60 mins=10 mins
9 mins= 9 mins
Therefore, 9 mins : 600 secs
=9 mins : 10 mins
=9:10
A triangle has an area of 30 inches² and a height of 12 inches. What is the length, in inches, of the base?
Answer:
Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
Step-by-step explanation:
What does the following rule describe?
(x, y) → (x-2, y+5)
The transformation represents a horizontal of 2 units to the right and a vertical of 5 units up
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the initial coordinates of the point be represented as P
Now , the coordinates of P = P ( x , y )
And , the transformed point be represented as Q
Now , the coordinates of Q = Q ( x - 2 , y + 5 )
when x → ( x - 2 )
The graph is moved 2 units to the right
And , when y → ( y + 5 )
The graph is moved 5 units up
Substituting the values in the equation , we get
The transformation is 2 units to the right and 5 units up
Hence , the transformation is 2 units to the right and 5 units up
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The distance between Dallas and Houston is about 364 kilometers. There are approximately 8 kilometers in 5 miles.
measurement is closest to the number of miles between these two towns?
Answer
A 227.5 miles
B 582.4 miles
C 40 miles
D 372 miles
kilometers in 5 miles
The measurement closest to the number of miles between the two towns is 227.5 miles.
What is cross multiplication?A method for finding the answer to linear equations in two variables is cross-multiplication. It turns out to be the quickest way to resolve two linear equations. To cross multiply two fractions, multiply the first fraction's numerator by the second's denominator and the second fraction's numerator by the first fraction's denominator.
Given that, distance between Dallas and Houston is about 364 kilometers.
The measurement of:
8 km = 5 miles
364 km = x miles
Using the method of cross multiplication, we have:
x = 364 (5) / 8
x = 227.5 miles
Hence, the measurement closest to the number of miles between the two towns is 227.5 miles.
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the process standard deviation is 0.15 , and the process control is set at plus or minus 2.4 standard deviations. units with weights less than or greater than ounces will be classified as defects. what is the probability of a defect (to 4 decimals)?
The probability of a defect (weights less than -0.36 ounces or greater than 0.36 ounces) is approximately 0.0521 × 2 = 0.1042 or 10.42% to four decimal places.
To find the probability of a defect, we need to determine the range of weights that would be considered as defects. The process control limit is set at plus or minus 2.4 standard deviations, which means that any weight outside the range of mean ± 2.4× standard deviation would be considered a defect. Let's calculate the mean weight (μ): μ = 0
And the control limit (LCL and UCL):
LCL = μ - (2.4 × standard deviation)
= 0 - (2.4 × 0.15) = -0.36 UCL
= μ + (2.4 × standard deviation)
= 0 + (2.4 × 0.15) = 0.36.
Since the standard deviation is 0.15 ounces and the normal distribution is symmetrical, the probability of a weight being less than -0.36 ounces or greater than 0.36 ounces is equal. To calculate the probability, we can use the cumulative distribution function (CDF) of a standard normal distribution. Using a standard normal table or a calculator with statistical functions, we can find that the probability of a standard normal distribution being less than -0.36 or greater than 0.36 is about 0.0521 or 5.21%. So, the probability of a defect (weights less than -0.36 ounces or greater than 0.36 ounces) is approximately 0.0521 × 2 = 0.1042 or 10.42% to four decimal places.
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what is 10000 = 8000(1 + .04t) interest is simple 4%. how long would it take for 8000 to grow to 10000
The number of years to grow the amount from $8,000 to $10,000 will be 6.25 years.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
The equation is given below.
10000 = 8000(1 + .04t)
Where 't' represents the number of years. Then solve the equation for 't', then we have
10000 = 8000(1 + 0.04t)
1.25 = 1 + 0.04t
0.04t = 0.25
t = 0.25 / 0.04
t = 6.25 years
The number of years to grow the amount from $8,000 to $10,000 will be 6.25 years.
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What is the answer to 52+6y-22
? a retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices. the retailer eventually began to purchase supplies from other vendors who offered better prices. the original supplier filed a lawsuit claiming violation of the agreement. in defense, the retailer had an audit performed on a random sample of 25 invoices. for each audited invoice, all purchases made from other suppliers were examined and compared with those offered by the original supplier. the percent of purchases on each invoice for which an alternative supplier offered a lower price than the original supplier was recorded.26 for example, a data value of 38 means that the price would be lower with a different supplier for 38% of the items on the invoice. a histogram and some computer output for these data are shown below. explain why we should not carry out a one-sample t test in this setting
A one-sample t-test should not be carried out in this setting because the data is in the form of a frequency distribution and is not continuous, and the distribution is not normal.
In statistics, a one-sample t-test is used to determine whether a sample mean is significantly different from a known population mean. However, in this scenario, the data collected and analyzed is in the form of a frequency distribution, where the percent of purchases for which an alternative supplier offered a lower price was recorded.
A frequency distribution shows the number of times a particular value or range of values occurs in a dataset. In this case, the frequency distribution shows the number of invoices that had a certain percentage of purchases for which an alternative supplier offered a lower price. This type of data is not suitable for a one-sample t-test because a t-test requires continuous data, which is not the case here.
Furthermore, a one-sample t-test assumes that the data is normally distributed. A histogram of the data in this scenario shows that the distribution is not symmetrical and does not resemble a normal distribution. Therefore, carrying out a t-test would not be appropriate.
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Zach delivers pizza and is paid by the hour. Yesterday he worked 4 hours and made $40.
Answer:
$10 / hour
Step-by-step explanation:
$40 ÷ 4 hours = 10/hour
Answer: Part A: Zach is paid $10 per hour
Part B: The equation would be p = 10h
Step-by-step explanation: Part A :Zach worked 4 hours and was paid $40. The question asks How much is Zach's paid per hour? Per hour means to find the unit rate and in order to find the unit rate in this case, you have to divide the $40 by the 4 to get how much Zach got per hour.
1.$40/4=10
Therefore, Zach is paid $10 per hour.
Part B: In the question it says Which equation shows the relationship between , h, the number of hours worked. The number of hours Zach worked was 4 hours. So, h = 4. Then for the next part of the problem, and p the amount paid. We know that Zach got paid $40. So p = 40. Now that we know our numbers, we could put the equation together.
1. P = 10h is the same as $40 = 10 x 4.
There's the answer, Hope it helps! Have a nice day!
