Answer:
2 sqrt(30)
Step-by-step explanation:
We want to find the norm of the matrix
( -2 6
4 8)
Take the square root of the sum of the squares
sqrt( (-2) ^2 + 6^2 + 4^2 + 8^2)
sqrt( 4+36+16+64)
sqrt( 120)
sqrt( 4*30)
2 sqrt(30)
45 percent of 74 is the same as 30 percent of what number?
Answer:
it's 60.81 i just had the same question too :)
Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F
a.
-5°F, -8°C, 40°F, 10°C
b.
-5°F, -8°C, 10°C, 40°F
c.
-8°C, -5°F, 10°C, 40°F
d.
-8°C, -5°F, 40°F, 10°C
ANSWER IS A
Answer:
a. -5°F, -8°C, 40°F, 10°C
Step-by-step explanation:
-17°C is when F = 0, so -8°C is way higher than -5°F. -8°C comes right after, and 40°F is a bit lower than 10°C. You can convert F to C is °F = (C * 9/5) + 32 and you can convert C to F with (F -32) x 5/9
What is 30% of 40,756.00
Answer:
12226.8
Step-by-step explanation:
Answer:
12226.8
Step-by-step explanation:
6. The fixed costs of producing a Wild Widget are $34,000. The variable costs are $5.00 per widget. What is the average cost per widget of producing 7,000 Wild Widgets? Round to the nearest cent. :))))
Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.
Fixed costs: $34,000
Variable costs per widget: $5.00
Total costs = Fixed costs + (Variable costs per widget × Number of widgets)
Total costs = $34,000 + ($5.00 × 7,000)
Total costs = $34,000 + $35,000
Total costs = $69,000
Average cost per widget = Total costs / Number of widgets
Average cost per widget = $69,000 / 7,000
Average cost per widget ≈ $9.86
Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.
Step-by-step explanation: :)
What way does the arrow point towards, the right or the left?
Answer:
left
Step-by-step explanation:
if the mouth is eating on the number it's left but if the mouth is eating on the X is going to point to the right
Mark what answer it is
Please look at the photo. Thank you!
The value of f(5) is positive
At f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, the values of x are [-2, 1]
How to determine the values of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
f(5) = 1
This means that f(5) is positive
Also, we have
When f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, we have the values of x to be
-2 ≤ x ≤ 1
When represented as an interval, we have
[-2, 1]
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I NEED HELP ASAP.
If f(x)=[x]-5, what is f(8,6)
3
4
8
9
Answer:
f(x)=x-5 , (x = 8)
f(x)= 8-5
f(x) = 3
According to the instruction manual, Sam's camera screen is 2.7 inches long. He measured its length using the two rulers shown. Which is true about the accuracy and precision of the rulers? The measurement found using Ruler 1 is more accurate and more precise. The measurement found using Ruler 2 is more accurate and more precise. The measurement found using Ruler 1 is more accurate but less precise. The measurement found using Ruler 1 is more precise but less accurate.
Answer:
The measurement found using Ruler 1 is more accurate but less precise
Step-by-step explanation:
3. The t test for two independent samples - Two-tailed example
“Bullying,” according to noted expert Dan Olweus, “poisons the educational environment and affects the learning of every child.” Bullying and victimization are evident as early as preschool, with the problem peaking in middle school. Suppose you are interested in the emotional well-being of not only the victims but also bystanders, bullies, and those who bully but who are also victims (bully-victims). You decide to measure depression in a group of victims and a group of bully-victims using a 26-item, 3-point depression scale. Assume scores on the depression scale are normally distributed and that the variances of the depression scores are the same among victims and bully-victims.
The group of 30 victims scored an average of 21.5 with a sample standard deviation of 10 on the depression scale. The group of 27 bully-victims scored an average of 25.8 with a sample standard deviation of 9 on the same scale. You do not have any presupposed assumptions about whether victims or bully-victims will be more depressed, so you formulate the null and alternative hypotheses as:
H0
: μvictims
– μbully-victims
= 0
H1
: μvictims
– μbully-victims
≠ 0
You conduct an independent-measures t test. Given your null and alternative hypotheses, this is a test. To use the Distributions tool to find the rejection region, you first need to set the degrees of freedom. The degrees of freedom is .
The critical t-scores that form the boundaries of the rejection region for α = 0.01 are ± .
In order to calculate the t statistic, you first need to calculate the standard error under the assumption that the null hypothesis is true. In order to calculate the standard error, you first need to calculate the pooled variance. The pooled variance is s2p
= . The standard error is s(M1 – M2)
= .
The t statistic is .
The t statistic in the rejection region. Therefore, the null hypothesis is . You conclude that victims have a different mean depression score than bully-victims. Thus, it can be said that these two means are different from one another.
The test statistics do not lie in the rejection so the null hypothesis does not reject.
How to solveHere we have the following information:
\(\bar{x}_{1}=25.3, n_{1}=25, s_{1}=9, \bar{x}_{2}=20.5, n_{2}=23, s_{2}=8\)
Here degree of feedom will be
\(df=n_{1}+n_{2}-2=25+23-2=46\)
The critical values of t are: +/- 2.687
Rejection region:
If t < -2.687 and t > 2.687, reject H0
Pooled variance is :
\(s^{2}_{p}=\frac{(n_{1}-1)s_{1}^{2}+\left ( n_{2}-1 \right )s_{2}^{2}}{n_{1}+n_{2}-2}=72.8696\)
The standard error is
\(s_{M_{1}-M_{2}}=s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}=2.4664\)
and t-statistics will be
\(t=\frac{\bar{x}_{1}-\bar{x}_{2}}{s_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}}=1.946\)
The test statistics do not lie in the rejection so the null hypothesis does not reject.
You cannot conclude...
not
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If you spin the spinner 72 times, what is the best prediction possible for the number of times it will land on yellow?
the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,
how to solve probability
If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.
To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.
In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:
Expected value = Probability of yellow x Number of spins
Expected value = (1/6) x 72
Expected value = 12
Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.
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Please help me I will give you the brainliest (I Didn’t spell that right but don’t care)
Answer:
positive
positive
negative
1 or -1
Step-by-step explanation:
Answer:
The product of two positive integers is always a positive
The product of two negative integers is always a positive
The product of a positive integer and a negative integer is always negative
The product of any integer and -1 is always a 1 or -1
Step-by-step explanation:
Hope this helps :)
Please help, test due in 2 hours! Will give good review and brainliest. :)
Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
You are given the following information about x and y.
x y Independent Dependent Variable Variable 15 5 12 7 10 9 7 11
The least squares estimate of b 0 equals ______.
a. 16.41176
b. â1.3
c. 21.4
d. â7.647
Answer:
\(b_0 = 16.471\)
Step-by-step explanation:
Given
\(\begin{array}{ccccc}x & {15} & {12} & {10} & {7} \ \\ y & {5} & {7} & {9} & {11} \ \end{array}\)
Required
The least square estimate \(b_0\)
Calculate the mean of x
\(\bar x = \frac{\sum x}{n}\)
\(\bar x = \frac{15+12+10+7}{4} =\frac{44}{4} = 11\)
Calculate the mean of y
\(\bar y = \frac{\sum y}{n}\)
\(\bar y = \frac{5+7+9+11}{4} =\frac{32}{4} = 8\)
Calculate \(\sum(x - \bar x) * (y - \bar y)\)
\(\sum(x - \bar x) = (15 - 11) * (5 - 8)+ (12 - 11) * (7 - 8) + (10 - 11) * (9 - 8)+ (7 - 11) * (11 - 8)\)
\(\sum(x - \bar x) = -26\)
Calculate \(\sum(x - \bar x)^2\)
\(\sum(x - \bar x)^2 = (15 - 11)^2 + (12 - 11)^2 + (10 - 11)^2 + (7 - 11)^2\)
\(\sum(x - \bar x)^2 = 34\)
So:
\(b = \frac{\sum(x - \bar x) * (y - \bar y)}{\sum(x - \bar x)^2}\)
\(b = \frac{-26}{34}\)
\(b_0 = y - bx\)
\(b_0 = 5 - \frac{-26}{34}*15\)
\(b_0 = 5 + \frac{26*15}{34}\)
\(b_0 = 5 + \frac{390}{34}\)
Take LCM
\(b_0 = \frac{34*5+ 390}{34}\)
\(b_0 = \frac{560}{34}\)
\(b_0 = 16.471\)
raul wants to know if reading a book or watching a movie has a lower cost per minute the book Costs $15 and takes Raul 200 minutes to read the movie costs 14 and takes Raul 2 hours and 39 minutes to watch does the book or the movie have a lower cost per minute
The book has a lower cost per minute than the movie.
To find the cost per minute of the book, we divide the cost by the number of minutes:
cost per minute of book = $15 / 200 minutes = $0.075 per minute
To find the cost per minute of the movie, we need to convert the time to minutes.
2 hours and 39 minutes is equal to:
2 hours x 60 minutes/hour = 120 minutes
39 minutes = 39 minutes
Total minutes = 120 + 39 = 159 minutes
cost per minute of movie = $14 / 159 minutes = $0.088 per minute
Therefore, the book has a lower cost per minute than the movie.
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The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
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Tamika has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $482.62.
She buys 3 bicycle reflectors for $10.84 each and a pair of bike gloves for $24.49.
She plans to spend some or all of the money she has left to buy new biking outfits for $52.93 each.
Which inequality can be used to determine o, the maximum number of outfits Tamika can purchase while staying within her budget?
The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800
The given parameters are:
Budget = $800
New bicycle = $482.62
3 bicycle reflectors = $10.84 each
Pair of a bike gloves = $24.49.
New biking outfits = $52.93each.
Let the number of new biking outfits be x So, we have;
New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget
This gives;
482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800
This gives;
539.63+ 52.93x ≤ 800
Solve the inequality;
52.93x ≤ 260.37
Divide by 52.93
x ≤ 4.91
Hence, the inequality is 539.63+ 52.93x ≤ 800
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30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a 31° angle with the bottom of the canvas. What is the height of the canvas? Round your answer to the nearest inch. 12 inches 14 inches 24 inches 27 inches
Answer:
12 inches
Step-by-step explanation:
Given
\(\theta = 31^{\circ}\)
\(diagonal = 23.3\ in\)
Required
Determine the height of the canvas
The question is illustrated using the attached image.
Using the attachment as a point of reference, the height is calculated from
\(sin \theta = \frac{opp}{hyp}\)
This gives:
\(sin 31^{\circ}= \frac{h}{23.3}\)
Make h the subject
\(h = 23.3 * sin(31^{\circ)\)
\(h = 23.3 * 0.5150\\\)
\(h = 11.9995\)
\(h = 12\ inches\)
A rectangle has right angles as its interior angles. Secondly, when you draw a diagonal and has its angle with bottom, then you get a right angled triangle with known angle.
The height of the rectangle is given by:
Option D: 12 inches
Given that:There is a rectangular canvas.The angle that the diagonal of the rectangle makes with bottom is 31° The length of diagonal = 23.3 inchesTo find:The height of that rectangular canvas.
Using the right angle triangle and sine ratio to find height of canvas:I have attached a figure below which you can refer.
The triangle ABC is right angled triangle. Using the sine ratio from angle A's viewpoint:
\(sin(A) = \dfrac{BC}{AC}\\\\ sin(31^\circ) = \dfrac{h}{23.3}\\\\ h \approx 0.515 \times 23.3\\ h \approx 12 \: \rm inches\)
Thus, the height of the specified canvas is 12 inches.
Thus, Option D: 12 inches is correct.
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3 1/5 x 10
please break it down for me
Answer:
To multiply a mixed number by a whole number, you can first convert the mixed number to an improper fraction and then multiply it by the whole number. Here are the steps to solve 3 1/5 x 10:
Convert 3 1/5 to an improper fraction:
3 1/5 = (3 x 5 + 1) / 5 = 16/5
Multiply the improper fraction by 10:
16/5 x 10 = (16 x 10) / 5 = 160/5
Simplify the result if possible:
160/5 = 32
Therefore, 3 1/5 x 10 = 32.
Emoji were first introduced on Japanese mobile phones in the year 1997.
Write an inequality that describes y, the years before emoji were introduced.
Enter your inequality without a thousands separator.
Answer:
1997 > y
Step-by-step explanation:
The inequality that presents year before 1997 is y<1997
What is inequality?Inequality shows relation between two expression which are not equal to each others.
According to given condition,
The emoji were introduced in the year 1997,
There can be infinite year before 1997, when emoji were not introduced.
The year y that describes inequality the year before 1997 can be represented as,
y<1997
The required inequality is y<1997.
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Use the drop-down menus below to state the sequence of transformations that maps Figure K onto Figure L in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
1)Reflection,reflection
2)are congruent because reflections are used
Step-by-step explanation:
You reflect figure K so it's upside down.
Then reflect over the y-axis to make it to figure L
The process of two reflections, one horizontally, then vertically will map the two figures
-Chetan K
PLEASE HELP FAST!! IT IS URGENT!! The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Hop-10,000 steps versus Hp 10,000 steps where the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?
u=9,000
u=9,500
u = 10,000
u = 10,500
Answer:
The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.
A $5000 investment pays 3% interest compounded monthly. To the nearest cent, what will be the value of the investment after 10 years?
Answer:
We can use the formula for compound interest to solve this problem. The formula is:
A = P * (1 + r/n)^(n*t)
where:
A = the amount of money after t years
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:
A = 5000 * (1 + 0.03/12)^(12*10)
A = 5000 * (1.0025)^120
A ≈ $6,621.36
So the investment will be worth approximately $6,621.36 after 10 years.
Newton sleeps 9hours each night. How many hours does he sleeps in 1 week
which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
Hello, could you help me with this problem I don't understand it
We have 3 line equations.
\(\begin{gathered} l_1\colon2x-8y=-24 \\ l_2\colon4x+y=-2 \\ l_3\colon x-4y=4 \end{gathered}\)To check if the lines are parallel, perpendicular or neither, we need to check their slopes. If the slopes are equal, the lines are parallel, if the slope of one of the lines is equal to minus the inverse of the other slope, the lines are perpendicular, and finally, if any of those statements is not fullfilled, they are neither.
To find the slope of each line equation, let's rewrite all of them in slope-intercept form.
The slope-intercept form is
\(y=mx+b\)Where m represents the slope and b the y-intercept.
Now, let's rewrite our equations.
For the first line we have:
\(\begin{gathered} 2x-8y=-24 \\ x-4y=-12 \\ -4y=-x-12 \\ 4y=x+12 \\ y=\frac{x}{4}+3 \end{gathered}\)For the second we have:
\(\begin{gathered} 4x+y=-2 \\ y=-4x-2 \end{gathered}\)And finally, for the third:
\(\begin{gathered} x-4y=-4 \\ -4y=-x-4 \\ y=\frac{x}{4}+1 \end{gathered}\)Our lines in slope intercept form are:
\(\begin{gathered} l_1\colon y=\frac{x}{4}+3 \\ l_2\colon y=-4x-2 \\ l_3\colon y=\frac{x}{4}+1 \end{gathered}\)The slopes are, respectively
\(m_1=\frac{1}{4},m_2=-4,m_3=\frac{1}{4}\)Since
\(m_1=-\frac{1}{m_2}=m_3\)We have
\(\begin{gathered} l_1\parallel l_3 \\ l_1\perp l_2 \\ l_2\perp l_3 \end{gathered}\)2x - 8y = -24 and x - 4y = 4 are parallel;
2x - 8y = -24 and 4x + y = -2 are perpendicular;
x - 4y = 4 and 4x + y = -2 are perpendicular.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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Look at the figure below: Triangle ABC has the measure of angle ACB equal to 45 degrees. D is a point on side AC. Points B and D are joined by a straight Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ACB. (10 points)
Here the answer.
I hope it helps you.
Solve for the value of X. 62 = 12 - 5x
Answer:
x = -10
Step-by-step explanation:
62 = 12 - 5x
-12 . -12
62 - 12 = -5x
50 = -5x
__ . __
-5 . -5
-10 = x
PLEASE HELP ME WITH THIS ALGEBRA QUESTION!! THANK YOU!!
Answer:
The answer is C.
Thank you and please rate me as brainliest as it will help me to level up
Step-by-step explanation:
ANSWER C IS THE RIGHT ANSWER PLEASE LIKE THIS ANSWERS