The result of the vector multiplication of a scalar is a vector.
Vector multiplication of a scalarA vector has both magnitude and direction while a scalar has only magnitude and no direction.
When each element of the vector is multiplied by the scalar when a scalar and a vector are multiplied. The resulting vector is multiplied by the scalar, but it still has the same direction as the original vector. Thus when we multiply the vector by the scalar what we get is a vector as we can see in this question.
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Herman plans to paint a triangular section of his house. The house is 20 feet long. The height of the triangular section is 8 feet. How many square feet of paint will Herman need?
Answer:
Step-by-step explanation:
The question is about area of a triangle
The formula for a triangle's area is
Area = 1/2 h * b
h = 8
b = 20
Solution
Area = 1/2 20 * 8
Area = 80 ft^2
Herman plans to paint a triangular section of his house. The house is 20 feet long. The height of the triangular section is 8 feet. How many square feet of paint will Herman need?
✪ Explanation -:Given -
Base of the house (b = 20 feet)Height of the house (h = 8 feet)Need to find -
Square feet of paint Herman need to paint the triangular section of the houseSolution -
This question is based on Area of a triangle to solve this question we need to calculate the area of the triangular section of the house.
We know,
\(⍟ \large \ \boxed { \rm{ Area_{(triangle)} = \dfrac{1}{2} × b × h }}\)
Where,
h stand for heightb stand for baseSubstituting the value of h = 8 feet and b = 20 feet
\( \large\sf{ Area_{(triangle)} = \dfrac{1}{2} × 20 × 8 }\)
\( \large\rm{ Area_{(triangle)} = \dfrac{1} { \cancel{2}} × \cancel{20 }× 8 }\)
\( \large\rm{Area_{(triangle)} = 10 × 8} \)
\( \large \red{\underline{\color {red} \boxed{ \sf{Area_{(triangle)} = 80 \: {feet}^{2 }} }}}\)
Hence, Herman need 80 square feet of paint to paint the triangular section of his house
\( \rule{182mm}{4pt}\)
Additional Information -Formulas of Area
Area of a rectangle = Length × BreadthArea of a square = side × sideArea of a circle = π\({r}^{2}\)Area of a parallelogram = Base × Height|) Mei Li is going orange
picking. She is choosing
between two orange
orchards. The cost of a
basket of oranges at each
orchard is shown.
Which orchard should Mei
Li choose? Explain.
Answer:
Annie's Orange Grove
Step-by-step explanation:
* you need to find out how much each pound of oranges cost at both orchards.
* to do so you take the total amount of money and divide it by the number of pounds you get.
1) 7.25 ÷ 20 = .36
2) 5 ÷12 = .4
* as you can see .36 is less than .4 and therefore is the better deal.
A shop has an offer on jumpers as shown below.
Buy 4 jumpers and get 1 free!
Kara gets 6 jumpers.
After applying the offer, each one ends up costing £8.50 per jumper.
What is the regular cost of one jumper when not in this offer?
Answer:
Step-by-step explanation:
1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.
21
4 = 420= 15 bracelets
7 28
20
Answer:
10.20 regular cost
Step-by-step explanation:
8.50 x 6 = 51 total
51/5 = 10.20
What is the distance between the points (3,7) and (15,6) on a coordinate plane ?
Answer:
12.04
Step-by-step explanation:
the distance between two points in the x-axis
15-3 = 12
the distance between two points in the y-axis
7-6=1
using Pythagorean theory
a²+b²=c²
12²+1²=c²
144+1=c²
145=c²
√145=√c²
12.04=c
how would 4,258,145,397 be shown in written form?
Answer:
four billion two hundred fifty-eight million one hundred forty-five thousand three hundred ninety-seven
Step-by-step explanation:
Answer:
Word form-
four billion, two hundred fifty-eight million, one hundred forty-five thousand, three hundred ninety-seven.
Step-by-step explanation:
What is the area of the figure below?
Answer:
31.5
Step-by-step explanation:
hope this helps
Find x if 2x - 9 = 0
Answer:
2x-9=0
2x-9+9=0+9.add the inverse of subtraction /addition/ (+9)
2x=9....then divide by 2
x=9/2
x=4.5. will the final answer
why is it recommended that you do not deviate too far from the mean value of x when using a historical regression equation to predict a future value of y?
It is essential that you do not depart too much from overall mean value of x when predicting a future value of y because the variance of the estimate increases as we deviate, increasing uncertainty.
Define the term historical regression?Regression analysis is a method being used finance, investments, and other disciplines to evaluate the strength and character of a relationship between a single dependent variable (typically represented by Y) and a set of other factors like independent variables.
The most frequent version of this technique is linear regression, also known as simple regression as well as ordinary least squares (OLS). Linear regression determines the linear relationship of two variables using a best-fit line. Linear regression is hence represented graphically by a straight line, with the slope specifying how a change in one variable affects a change the other.Thus, when utilizing a historical regression models that predict a future value of y, it is advised to ensure that you not deviate too drastically from the mean value of x because our estimate's variance increases as we move further away from the mean, implying greater uncertainty.
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suppose and are two vectors that form the sides of a parallelogram. then the lengths of the two diagonals of the parallelogram are . separate answers with a comma.
The lengths of the two diagonals of the parallelogram are D1 and D2, where:
D1 = ||A + B||
D2 = ||A - B||
Let's denote the vectors as vector A and vector B. The lengths of the two diagonals of the parallelogram can be calculated using vector operations.
The length of the first diagonal (D1) can be calculated using the formula:
D1 = ||A + B||
The length of the second diagonal (D2) can be calculated using the formula:
D2 = ||A - B||
Here, ||A|| represents the magnitude (length) of vector A, and ||B|| represents the magnitude of vector B.
Therefore, the lengths of the two diagonals of the parallelogram are D1 and D2, where:
D1 = ||A + B||
D2 = ||A - B||
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How long is Mr. Toad?
A 10 cm SECTION OF A METERIC RULER
HELP PLEASEEEEE!!!!!
hyfhsudeh it heieheueheiheeiheehheehe 70m
4x-3-3x=12+2x Find x
Answer: X= -15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
a raffle for a charity fund-raiser is being planned. each of 2000 raffle tickets will be sold for $1.00 . the holders of 32 winning tickets will each win a prize. the table shows the prize values and the number of prizes for each value. prize value number of prizes $25 20 $50 10 $300 2 the random variable w represents the value of the prize won for a single ticket minus the cost of the ticket. what is the expected value of w ?
The expected value 'w' for the total raffle tickets sold for $1.00 with other conditions is equal to $0.784.
Number of raffle tickets sold for $1.00 = 2000
Expected value of w is ,
= Expected value of the prize won - cost of a single ticket $1.00
The probability of winning a $25 prize is
= 20/2000
= 0.01.
The expected value of winning this prize is equal to
= (25 - 1) × 0.01
= 0.24
The probability of winning a $50 prize is
= 10/2000
= 0.005.
The expected value of winning this prize is equal to
= (50 - 1) × 0.005
= 0.245
The probability of winning a $300 prize is
= 2/2000
= 0.001.
The expected value of winning this prize is,
= (300 - 1) × 0.001
= 0.299
This implies,
The expected value of w is equal to
= 0.24 + 0.245 + 0.299
= 0.784
Therefore, the expected value of winning a prize minus the cost of the ticket is $0.784.
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solve the system of linear equations 5x-y=-12 -10x+2y=32
Answer:
No Solution
Step-by-step explanation:
I hope this helps
which of the following is true regarding multicollinearity in a linear regression model? group of answer choices if multicollinearity is present in a linear regression model, it means that the resulting prediction values for the dependent variable are incorrect. multicollinearity is caused by linear correlation between independent variables. if multicollinearity is present in a linear regression model, it means that the r-square value should not be used to evaluate the fit of the model on the sample data. multicollinearity is caused by the unexpected presence of categorical variables in a model to be used for linear regression.
Multicollinearity occurs when independent variables in a regression model are correlated.
Multicollinearity is a statistical concept that describes the correlation of several independent variables in a model. If the correlation coefficient between two variables is +/- 1.0, they are considered perfectly collinear. When independent variables are multicollinear, statistical inferences are less reliable.
Multicollinearity is a problem because it undermines an independent variable's statistical significance. Other things being equal, the larger a regression coefficient's standard error, the less likely it is that this coefficient will be statistically significant.
When two or more predictors in a regression model are moderately or highly correlated with one another, multicollinearity exists. Unfortunately, it can wreak havoc on our analysis, limiting the research conclusions we can draw.
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joy organised a large wedding guests had to choose there meals from beef chicken or vegetarian
1/3 of the guests chose beef
5/12 of the guests chose chicken
69 Of the guests chose vegetarian
How many guests were in the wedding?
There were total 276 guests in the wedding that Joy organised.
Given,
fraction of the guest that chose beef = 1/3
fraction of the guest that chose chicken = 5/12
fraction of the guest that chose vegetarian = 1 - 1/3 - 5/12 = 1/4
we are asked to find the total number of guests in the wedding:
guests that chose vegetarian = 1/4
guests that chose vegetarian = 69
1/4 of the guest = 69
4/4 of the guest = 69 x 4 = 276
Hence there are total 276 guests in the wedding.
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Is nominal data rank ordered?
No, nominal data is not rank ordered.
Nominal data, also known as categorical data, is a type of data that is used to label and classify groups of items based on characteristics and attributes.
It does not involve any measurement or numerical value and typically does not follow any order.
Nominal data is not measured in any way, so it does not have a ranking system.
In contrast, data that is rank-ordered, such as ordinal data, is measured and can be ranked from lowest to highest.
If you had a list of test scores from a group of students, the scores would be rank-ordered from lowest to highest.
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Test for relative maxima and minima. Use the second-derivative test, if possible. \[ y=x^{3}-12 x+3 \] Select the correct choice below and, if necessary, fill in the answer box(es) to complete your ch
In this the correct choice is: D. There are no relative maxima and no relative minima.
The given function is y = \(x^{3}\) - 12x + 3. To find the relative maxima and minima, we need to calculate the first and second derivatives of the function.
First, let's find the first derivative: y' = 3\(x^{2}\) - 12
Now, let's find the second derivative: y'' = 6x
To apply the second-derivative test, we need to determine the critical points by setting the first derivative equal to zero and solving for x:
3\(x^{2}\) - 12 = 0
\(x^{2}\)- 4 = 0
(x - 2)(x + 2) = 0
From this equation, we find that x = 2 and x = -2 are the critical points.
Now, let's evaluate the second derivative at these critical points:
y''(2) = 6(2) = 12
y''(-2) = 6(-2) = -12
Since the second derivative at x = 2 is positive (12 > 0) and the second derivative at x = -2 is negative (-12 < 0), the second-derivative test tells us that there are no relative maxima or minima. Therefore, the correct choice is D. There are no relative maxima and no relative minima for the given function.
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The complete question is:
Test for relative maxima and minima. Use the second-derivative test, if possible. y=x3 - 12x + 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative maxima occur at x = 2. The relative minima occur at -2. (Type integers or simplified fractions. Use a comma to separate answers as needed.) The relative maxima occur at x=-2. There are no relative minima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. The relative minima occur at x = 2 . There are no relative maxima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OD. There are no relative maxima and no relative minima.
Quadrilateral A’B’ C’ D ‘ is the result of reflecting quadrilateral ABCD across line l
Answer:
C
Step-by-step explanation:
what is 7 1/2 as a decimal
Answer:
7.5
Step-by-step explanation:
1/2 is .5 as a decimal and 7 is a whole number, so 7 would replace the 0 and it will be 7.5
ASSIGNMENT
Evaluate -
\(\sf \: \displaystyle\int_{ - 1}^{25}\sf {e}^{x - [x]} \)
- Need help!
Answer:
26
Explanation:
\(\int\limits^{25}_{-1} {e^{x-[x]}} \, dx\)
simplify
\(\int\limits^{25}_{-1} {e^{0} \, dx\)
any variable to the power 0 is 1
\(\int\limits^{25}_{-1} 1 \, dx\)
integrating 1 gives x
\(\left[ \:x \: \right]^{25}_{-1}\)
apply limits
\(25 - (-1)\)
add terms
\(26\)
\(\\ \rm\hookrightarrow \displaystyle\int\limits_{-1}^{25}e^{x-[x]}dx\)
[x] is x if x is a real number\(\\ \rm\hookrightarrow \displaystyle\int\limits_{-1}^{25}e^{x-x}dx\)
\(\\ \rm\hookrightarrow \displaystyle\int\limits_{-1}^{25}e^0dx\)
e⁰=1\(\\ \rm\hookrightarrow \displaystyle\int\limits_{-1}^{25}dx\)
\(\\ \rm\hookrightarrow \left[x\right]_{-1}^{25}\)
\(\\ \rm\hookrightarrow 25-(-1)\)
\(\\ \rm\hookrightarrow 25+1\)
\(\\ \rm\hookrightarrow 26\)
The function f given by f(x)=3x^5−4x^3−3x has a relative maximum at x = ___
a. -1
b. -√5/5
c. 0
d. √5/5
e. 1
The correct option for the above equation is b. -√5/5.
The given function is f(x)=3x^5−4x^3−3x.Therefore, we have to find out where the relative maximum of the function
occurs. So, let's begin by finding the derivative of the given function. f(x)=3x^5−4x^3−3xDifferentiating both sides w.r.t.
x, we get: f'(x)= 15x^4 - 12x^2 - 3Now, to find the relative maxima and minima, we must solve for f'(x)=0 and f''(x) !=
0.Therefore, we have: f'(x)= 15x^4 - 12x^2 - 3= 3(5x^4 - 4x^2 - 1)We have to solve for the above equation: f'(x) = 0Or
3(5x^4 - 4x^2 - 1) = 0Or 5x^4 - 4x^2 - 1 = 0. We can solve the above equation by substituting t=x^2. Hence we get:5t^2 -
4t - 1 = 0Now, using the quadratic formula, we get: t = (4 ± √36)/10So, t = (2 ± √5)/5Now, we know that f''(x) = 60x^3 -
24x.We can substitute the value of x in f''(x) to check whether the given value of x is a relative maximum or not. When
we substitute x = -√5/5, we get f''(-√5/5) = -24(√5)/5 < 0Hence, x = -√5/5 is a relative maximum. Therefore, the correct
option is b. -√5/5.
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Find the distance between the pair of points below. You may
round to the nearest tenth when necessary.
(6,9) and (1,-3)
Answer: is 13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?
26°
36°
11°
64°
Answer: 26
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then
∠A + ∠B = 90
∠A =90- ∠B
∠A = 26
Answer:
The measure of \(\angle A\):
\(\angle A = 26\textdegree\)
Step-by-step explanation:
Since both \(\angle A\) and \(\angle B\) are complementary (Which they both add up to 90°), and you want to find the measure of
Measure of \(\angle A\): unknown
Measure of \(\angle B\): 64°
Finding the measure of \(\angle A\):
\(90 - 64 = 26\)
\(\angle A = 26\textdegree\)
So, the measure for \(\angle A\) is \(26\textdegree\).
2x-3/4=x-3/3 what is the value of x
Answer: -(1/4)
Step-by-step explanation:
2x-3/4=x-3/3
=>2x-x = -3/3 + 3/4
=> x = (-12+9) /12 [Taking LCM and solving]
=> x= -3/12
=> x= -1/4 [After simplifying]
Answer: x = -1/4
Step-by-step explanation:
2x− 4/3 =x− 3/3
Divide 3 by 3 to get 1.
2x− 3/4 =x−1
Subtract x from both sides.
2x− 3/4−x=−1
Combine 2x and −x to get x.
x− 3/4 =−1
Add 3/4 both sides.
x=−1+ 3/4
Convert −1 to fraction − 4/4
x=− 4/4 + 3/4
Since − 4/4 and 3/4
have the same denominator, add them by adding their numerators.
x= -4 +3 /4
Add −4 and 3 to get −1.
x=− 1/4
The area of a circle is represented by the equation A = π r 2 , where r is the radius. The area is 64 π m 2 . What is the length of the diameter? 4 meters 4 meters 8 meters 8 meters 16 meters 16 meters 32 meters 32 meters
Answer:
16 meters
Step-by-step explanation:
Area of a circle = πr²
Diameter of a circle = 2 x r
where r = radius
If area of the circle is given, the radius can be determined by finding the square root of the area
64 πm² = πr²
r² = 64 πm²
r = √64
r = 8m
diameter = 8 x 2 = 16m
HELP ASAP THIS IS ALR LATE-
Answer:
C. A parallelogram, and then rectangle
Find the area of the
regular figure below:
A) 2,338.3 cm
B) 2.225.8 cm2
C) 2.190.1 cm2
D) 2,458.5 cm
E) 2,603.2 cm2
Answer:
Option A: 2338.3 cm² is the correct answer.
Step-by-step explanation:
Given that:
The given figure is a regular hexagon.
Length of side = 30 cm
Area of a hexagon is given by;
Area = \(\frac{3\sqrt{3}}{2}a^2\)
Putting a=30 in the formula
Area = \(\frac{3\sqrt{3}}{2}(30)^2\)
Area = \(\frac{3\sqrt{3}}{2}*900\)
Area = \(3\sqrt{3}*450\)
Area = 2338.26 cm²
Rounding off to one decimal place,
Area = 2338.3 cm²
Hence,
Option A: 2338.3 cm² is the correct answer.
Answer:do you remember what number 6 was on these ? It was a link Triangle and on the left said it had a like with the number 19 bedside it. Please get back to me
Step-by-step explanation:
This is the last giveaway for today!!
if you could be any movie character who would you be?
Answer:
I would be Channel #2 from scream queens
Step-by-step explanation:
Why just because she was the first one that came to mind :)
Answer:
Stitch from Lilo and Stitch ^^
Step-by-step explanation:
That movie always was a favorite of mine, also, so fluffy!
A pizza lover wants to compare the average delivery times for four local pizza restaurants. Over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered.
a) When performing an ANOVA with this data, what is the alternative hypothesis?
- All of the restaurants have different mean delivery times
- At least two of the restaurants have different mean delivery times
- Two of the restaurants have different mean delivery times
- One of the restaurants has a different mean delivery time than the others
b) A partial ANOVA table for his data is shown below. What is the value of B?
Source DF SS MS F P-value
Treatment B 19.31 D F G
Error C 15.667 E
Total 18 34.977
What is the value of C in the ANOVA table?
d) What is the value of D in the ANOVA table? Give your answer to three decimal places.
e) What is the value of E in the ANOVA table? Give your answer to three decimal places.
f) What is the value of F in the ANOVA table? Give your answer to two decimal places.
g) What is the value of G in the ANOVA table? Give your answer to four decimal places.
h) Using a 0.1 level of significance, what should his conclusion be in this case?
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.1.
- He should fail to reject the claim that at all of the restaurants have the same mean delivery times because the P-value is greater than 0.1.
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is greater than 0.1.
- He should conclude that at all of the restaurants have the same mean delivery times because the P- value is less than 0.1.
(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.
(b)75.8
Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.
It is given that a pizza lover wants to compare the average delivery times.
Therefore the null hypothesis and alternate hypothesis implies that,
H₀ = all restaurants have equal mean delivery time
Hₐ = at least two restaurants have different two deliveries
Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.
The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.
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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a standard deviation of 7 millimeters. If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would be less than 135.6 millimeters? Round your answer to four decimal places.
The probability (P) for a z-score of 0.5880 is approximately 0.7219. Therefore, the probability that the sample mean would be less than 135.6 millimeters is approximately 0.7219, or 72.19% when rounded to four decimal places.
To solve this problem, we can use the central limit theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.
First, we need to calculate the standard error of the mean, which is equal to the standard deviation divided by the square root of the sample size:
standard error of the mean = 7 / sqrt(47) = 1.020
Next, we can calculate the z-score for a sample mean of 135.6 millimeters:
z = (135.6 - 135) / 1.020 = 0.588
Using a standard normal distribution table or calculator, we can find the probability of a z-score less than 0.588, which is 0.7211.
Using a z-table or calculator, the probability that a random sample of 47 steel bolts will have a mean diameter less than 135.6 millimeters is 0.7211, rounded to four decimal places.
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