Answer: B
Step-by-step explanation:
Multiply matrices
AB = [ 4 5 ] x [ 3 ]
[ 8 7 ] [ 9 ]
4 x 3 + 5 x 9 = 12 + 45 = 57
8 x 3 + 7 x 9 = 24 + 63 = 87
[ 57 ]
[ 87 ]
Can you please help me
EXPLANATION
The area of the figure can be obtained by applying the following relationship:
\(Area_{paralle\log ram}=base\cdot height\)Where b=base and height=h
In order to find the height, we need to apply the trigonometric relationship:
\(\sin 45=\frac{opposite}{\text{hypotenuse}}=\frac{height}{\text{diagonal}}=\frac{h}{6.4}\)Multiplying both sides by 6.4:
\(6.4\cdot\sin 45=h\)Solving the argument:
\(6.4\cdot0.65=h\)Switching sides:
\(h=4.16\text{ inches}\)Now that we have the height, we can compute the area as follows:
\(\text{Area}_{\text{parallelogram}}=12.8in\cdot4.16in=53.24in^2\)The answer is 53.24 squared inches.
Tell whether the angles are complementary or supplementary. Then find the value of x.
I NEED HELP ASAP!
Answer: Complementary angles. x = 60
How I got it.
x - 30 + x = 90
then solve for x
Hope this helps!
3x + 4. What is the constant term?
Answer: 4
Step-by-step explanation:
3x will change as a result of the x value but 4 stays the number 4
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck
Answer:
The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.
Step-by-step explanation:
I’m sorry if I didn’t help but the answer is not written out enough…
Calculate the 95% confidence interval for the following fictional data regarding daily TV viewing habits: µ= 4.7 hours; σ= 1.3 hours; sample of 78 people, with a mean of 4.1 hours.
We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.
To calculate the 95% confidence interval, we use the formula:
CI = x' ± Zα/2 * (σ/√n)
Where:
x' = sample mean
Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)
σ = population standard deviation
n = sample size
Substituting the given values, we get:
CI = 4.1 ± 1.96 * (1.3/√78)
Calculating the standard error (SE) first:
SE = σ/√n
SE = 1.3/√78
SE ≈ 0.147
Then we substitute the SE value in the CI formula:
CI = 4.1 ± 1.96 * 0.147
CI = 4.1 ± 0.288
CI = (3.812, 4.388)
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Determine whether the following statement is true or false. Sample evidence can prove that a null hypothesis is true. Choose the correct answer below O True O False
False, sample evidence cannot prove that a null hypothesis is true.
Sample evidence can be used to infer whether a null hypothesis is true or not, but it cannot prove it to be true. The null hypothesis is a statement of no effect or no difference, and it is typically used as a starting point for statistical hypothesis testing. When sample data is collected, it is used to calculate a test statistic, which is then used to make a decision about the null hypothesis.
If the test statistic falls within the acceptance region, meaning that it is not unlikely to occur if the null hypothesis is true, then the null hypothesis is not rejected. However, if the test statistic falls in the rejection region, meaning that it is unlikely to occur if the null hypothesis is true, then the null hypothesis is rejected. The conclusion is that the sample evidence provides a probability that the null hypothesis is true or not, but it cannot prove it to be true.
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state whether the following statement is true or false: if sin x = 1/2 ; then sin 2 x = 1
Answer:
FalseStep-by-step explanation:
sin x = 1/2 ⇒ x = 30°sin 2x = 1 ⇒ 2x = 90° ⇒ x = 45°The answer is false as 30° ≠ 45°
\(\\ \sf\longmapsto sinx=\dfrac{1}{2}\)
\(\\ \sf\longmapsto sinx=sin30\)
\(\\ \sf\longmapsto x=30\)
Now
\(\\ \sf\longmapsto sin2x=1\)
\(\\ \sf\longmapsto sin2x=sin90\)
\(\\ \sf\longmapsto 2x=90\)
\(\\ \sf\longmapsto x=\dfrac{90}{2}\)
\(\\ \sf\longmapsto x=45\)
Hence its false
Transform the marital status into category scores where Single = 1 and Married = 0. How many would have the category score of 0? Marital Status Age Income Single 24 $45,000 Married 26 $33,000
Single 33 $53,000 Married 28 $59,000 Married 36 $62,000
Married 29 $48,000 eBook Ask References Multiple Choice 6 0
(Married) is 4
In order to transform the marital status into category scores where Single = 1 and Married = 0, you will need to go through the list of people given and assign each a score based on their status. Those who are married will get a score of 0, while those who are single will get a score of 1. The list given is as follows:
Therefore, the total number of people with the category score of 0 (Married) is 4.
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Comelia and Christopher are arguing about Real Number (R) Sets. Comelia says that all Whole (W) numbers are Rational (Q) and Christopher
says that all Rational (Q) numbers are Whole (W). Who is correct and explain why?
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Explanation:
We're told that "Christopher says that all Rational (Q) numbers are Whole (W)", which makes Christopher not correct. Some rational numbers are whole numbers. For instance, the number 7 = 7/1 is rational and it's a whole number as well.
However something like 1/2 is rational, but it's not a whole number. A whole number doesn't have any fractional or decimal part to it. It can be thought of the number of something.
Comelia is correct because all whole numbers are rational. If x is some whole number, then x = x/1 is rational as well. Replace x with any whole number you want. Her statement does not work in reverse as shown above.
When drawing a Venn diagram, the circle for "whole numbers" will be entirely inside the circle for "rational numbers", and not the other way around.
Write a numerical expression using one of the properties that is equivalent to 2⁸
The numerical expression using commutative property of multiplication that is equivalent to 2⁸ is 2² x 2² x 2² x 2² = 256.
What is multiplication?Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
Now the given exponent is,
2⁸
Now, 8 can be written as using associative property of addition,
8 = 2 + 2 + 2 + 2
Thus we can write,
2⁸ = 2^( 2 + 2 + 2 + 2 )
Using exponential property
x^(a + b) = x^a . x^b
Thus we get,
2⁸ = 2^2 . 2^2 . 2^2 . 2^2
Thus numerical expression for 2^8 = 2^2 . 2^2 . 2^2 . 2^2
Solving we get,
2^8 = 4 x 4 x 4 x 4 = 256
Thus, the numerical expression using exponential property of multiplication that is equivalent to 2⁸ is 2² x 2² x 2² x 2² = 256.
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a - 2/3 = 3/5 how much is a?
Answer:
its 1 4/5 or 19/15
they are both the same
Step-by-step explanation:
so first you need to find the same common factor
A-10/15=9/15
then add 10/15 and 9/15 to find a
19/15-10/15=9/15
or
1 4/15-2/3=3/5
yw :)
Ashley needs a 4.6 yards of chain to hang some flower baskets the chain is sold by meter how many meters does Ashley need
20 POINTS: Mr. Holland wants to buy a suit marked $235. He receives a 25% discount, and then there is 7% sales tax. How much will Mr. Holland actually spend on the suit?
Don't forget to round your answer to the nearest hundredth!
Answer:
$235 - 25% = $176.25
$235x 7% = $16.45
176.25
16.45
+______
( $192.7 )
PLS HELP ASAP ILL GIVE BRAINLKEST PLS
Solve for y.
-42 – 11y = -97
Answer:
y = 5
Step-by-step explanation:
Solving for y:
\(-42-11y=-97\\-11y=-55\\y=5\)
postive or negitive (-7)(6)
Answer:
negative because the answer would be -42
Step-by-step explanation:
Which of these sets of ordered pairs would define a line with a negative slope?
o A. (5, 5) and (0, 1)
OB. (2, 3) and (-4, -1)
o C (3, 6) and (5, 1)
o D. (2, 3) and (76)
Answer:
C.
Step-by-step explanation:
Formula for finding slope with no graph: y2 - y1
x2 - x1
Now substitute each of the coordinates to its corresponding variables.
Remember: (x, y)
Answer:
C (3, 6) and (5, 1)
Step-by-step explanation:
I just took the test and its right, also if you follow the steps on how to solve these, you will get your answer.
The steps are
y2 - y1
x2 - x1
A small square has length y cm.A large square has length 12 cm.The area of the small square is 1/4 of the area of the large square. 4 Work out the value of y.
Answer:
6
Step-by-step explanation:
From the problem, we can write the following equation: \(y^{2} = \frac{1}{4} *12^2\). Simplifying this gets us \(y^2 = 36\), so \(y = 6\)
Write in standard form a + bi:
[2 (cos 2pi/15+i sin 2pi/15)]^5
The given number can be written in standard form as,
32cos⁵ \(\frac{2\pi }{15}\) - 320 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 160cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + i [160 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 320 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + 32sin⁵ \(\frac{2\pi }{15}\)]
Given is a number which is imaginary or is a complex number.
We know that,
Standard form of a complex number is a + bi.
We have to rewrite the given number in standard form.
Given number is,
[2 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))]⁵
We have to make it in the standard form.
[2 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))]⁵ = (2)⁵ (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))⁵
= 32 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))⁵
We know that,
(a + b)⁵ = a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵
(cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))⁵ = cos⁵ \(\frac{2\pi }{15}\) + 5 cos⁴ \(\frac{2\pi }{15}\) i sin \(\frac{2\pi }{15}\) + 10 cos³ \(\frac{2\pi }{15}\) i² sin² \(\frac{2\pi }{15}\) + 10 cos² \(\frac{2\pi }{15}\) i³ sin³ \(\frac{2\pi }{15}\) + 5 cos \(\frac{2\pi }{15}\) i⁴ sin⁴ \(\frac{2\pi }{15}\) + i⁵ sin⁵ \(\frac{2\pi }{15}\)
= cos⁵ \(\frac{2\pi }{15}\) + (5 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\)) i - 10 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) - (10 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\)) i + 5 cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\) + (sin⁵ \(\frac{2\pi }{15}\)) i
= [cos⁵ \(\frac{2\pi }{15}\) - 10 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 5 cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + i [5 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 10 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + sin⁵ \(\frac{2\pi }{15}\)]
So,
[2 (cos \(\frac{2\pi }{15}\) + i sin \(\frac{2\pi }{15}\))]⁵ = 32 [cos⁵ \(\frac{2\pi }{15}\) - 10 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 5 cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + 32i [5 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 10 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + sin⁵ \(\frac{2\pi }{15}\)]
= 32cos⁵ \(\frac{2\pi }{15}\) - 320 cos³ \(\frac{2\pi }{15}\) sin² \(\frac{2\pi }{15}\) + 160cos \(\frac{2\pi }{15}\) sin⁴ \(\frac{2\pi }{15}\)] + i [160 cos⁴ \(\frac{2\pi }{15}\) sin \(\frac{2\pi }{15}\) - 320 cos² \(\frac{2\pi }{15}\) sin³ \(\frac{2\pi }{15}\) + 32sin⁵ \(\frac{2\pi }{15}\)]
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Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.64% of women in the sample are the primary investor in their household.
There is an association between U.S. women and being the primary investor in their household.
The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.
What will the inference be?This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.
According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.
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Need help ASAP!! Due in 10 minutes. Please help
Answer:
Its J
Step-by-step explanation:
to flip over the X-axis you multiply all the y values by -1 then subtract 2 from the Y values to translate it down
What is the exact value of sin -π/12? Please show work.
The exact value of given sine function, sin(-π/12) = (√3 - √2 - √6)/8.
What is sine?
Sine is a trigonometric function that relates the ratio of the length of the side opposite to an acute angle of a right-angled triangle to the length of its hypotenuse.
To find the exact value of sin(-π/12), we use the angle sum formula for sine which states that sin(a - b) = sin(a)cos(b) - cos(a)sin(b).
In this case, we set a = -π/6 and b = π/12, so that a - b = -π/12.
Then, we use the values of sine and cosine for -π/6 and π/12, which are well-known trigonometric values: sin(-π/6) = -1/2, cos(-π/6) = √3/2, sin(π/12) = (√2 - √6)/4, and cos(π/12) = (√2 + √6)/4.
Substituting these values into the angle sum formula for sine and simplifying the expression, we get the final result: sin(-π/12) = (√3 - √2 - √6)/8.
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Which statement is true?
Question 13 options:
A)
–|3| = 3 and |4| = 4
B)
|–3| = 3 and –|–4| = –4
C)
|–3| = 3 and –|4| = 4
D)
|–3| = 3 and |–4| = –4
A state fair offers two pricing
plans. Each includes a flat fee
for admission and a price per
ride. The equations in the table
show the total cost y, in dollars,
to attend the fair and go on
x rides. For how many rides
y = 4x+7
y = 2x + 17
y-amount of $
do the two pricing plans cost
the same? Solve this problem X- amount of rides!
without graphing and explain
your reasoning.
Step-by-step explanation:
i am not sure but i guess u could do
4+7= 11
11+x=11x
2+17=19
19+x=19x
gcf = 209 sooo umm..
209 fits into eleven 19 times
209 fits into 19 eleven times
ig thats ur answer
Is (1, 3) a solution to the system of inequalities below?
y> 2x + 1
y <-3x
Why or why not?
\(y > 2x + 1 \\ 3 > 2(1) + 1 \\ 3 > 3 \\ false\)
We can stop here and conclude that ( 1 , 3 ) is not a solution to this system, since it does not even satisfy the first equation, but check for the other one just in case:\(y < - 3x \\ 3 < - 3(1) \\3 < - 3 \\ also \: false\)
Chloe spent $69 and now has no money left. She had before her purchase. She had $ before her purchase. can you please help me with this please
Answer:
$69
Step-by-step explanation:
Given
\(Purchase = \$69\)
\(Amount\ Left = \$0\)
Required
Determine the cash before purchase
To get the her amount before the purchase, we simply add both given parameters together.
This is done as follows;
\(Amount = Amount Left + Purchase\)
Substitute 0 for Amount Left and 60 for Purchase
\(Amount = \$0 + \$69\)
\(Amount = \$69\)
Hence, she had $69 before the purchase
which is more , 1 gallon or 7 pints ,
a. 1 gallon
b. 7 pints
c. nethier ; they are equal
Answer:A
Step-by-step explanation: 1 Gallon is equal to 8 pints.
Answer:
A
Step-by-step explanation:
pint=1/8 of a gallon
therfor 7 pints = 7/8
7/8<1gal
a dart board is a regular octagon divided into regions as shown. suppose that a dart thrown at the board is equally likely to land anywhere on the board. what is the probability that the dart lands within the center square?
The probability that the dart lands in centre is = √2-1.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-,
Let the side of octagon be rexterior angle of octagon = 360/8 = 45So interior angle = 180 -45 = 135So all the triangles will have 45-90-45 combinationsc sides of triangles = r/2√r/2 Calculate the total area of octagon and the area of central squareProbability = area of square /area of octagon = r2/(r2+r2+22√+r2)r2/(r2+r2+22+r2)= 1/(2+22√)take 2 common and multiply and divide byhence,The probability that the dart lands in centre is = √2-1.
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Tina has $24.00 in coins and is putting them into piles of $0.03. How many piles will she have?
Answer:
800 I think I think I think or I know
A watch which was bought for R250, was sold for R375. What profit made on the sale? atima has 56 roses, 48 irises and 16 freesias. She wants to cre ouquets using all the flowers. Calculate the highest number ouquets she can make without having any flowers left over Fatima paid R240 for her flowers and sold the bouquets for
Solving the provided question, we can say that the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8
What is Highest Common Factor?In mathematics, the highest positive integer that divides the corresponding integers is known as the greatest common divisor of two or more non-zero integers. The greatest common factor (HCF) of two or more numbers is the sum of those two or more numbers. As a result, it is frequently referred to as the largest common divisor (GCF). Take the prime factors of the two (or more) integers and determine the shared prime factors to determine the greatest common divisor. Following that, the sum of common prime factors is the greatest common divisor. A specified number divided by the biggest integer results in the greatest common divisor.
the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8
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