Answers
Answer:
A. -3
Step-by-step explanation:
edge test
The value of x in the matrix equation comes to be 1.
What is a matrix?A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.
The given matrix equation is:
[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:
[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]
On comparing both matrices
-2x+3 = x
3x=3
x=1
Hence, the value of x in the matrix equation comes to be 1.
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Related Questions
can somebody PLZ HELP ME ASAP!!
Answers
Answer:
34 days 4 hours and 40 minutes
Step-by-step explanation:
First convert 3,962km to miles.
There are 1.609km in 1 mile so:
3,962km/1.609km = 2461.87 miles ≈ 2,462mi
If your walking speed is 3mph then divide the distance by 3.
2462/3 = 820.67hours.
Let's figure out the number of days, hours, minutes.
820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.
.1944 x 24 = 4.6666 So 4 hours and some minutes, let's figure out the minutes.
.66666 x 60 = 40
At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.
What happens to a triangle that is drawn on a sphere?
Answers
Answer: The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.
what is the place value of the 6 in 976.14
Answers
Answer:
represents the one value
Step-by-step explanation:
Ones place
How could you use a multiplication algorithm to multiply a 4-digit number by a 1-digit number?
Choose all that apply.
Multiply each place value in order. Regroup if needed. Add any regrouped values to each place value.
Add the digits in the 4-digit number and multiply by the 1-digit number.
Multiply to find the partial products and then add.
Use place value to rewrite the 4-digit number as a sum. Use the Distributive Property to find partial products. Add.
Multiply the digits in the 4-digit number and add the 1-digit number.
Answers
Answer:
is 1,2,3 the answer ? if not what is the answer cuz im doing the same question
Step-by-step explanation:
What is the difference between the largest prime number less than 50 and the smallest com posite number greater than 10?
O 35
O 36
O 37
O 38
Answers
Answer:
prime numbers are those which can't be dividend for 2 and composites are the reverse of prime numbers so largest prime number <50 is 49 and smallest composite number >10 is 12 know we have got the numbers then by subtracting 12 from 49 we get 37
Answer:
37
Step-by-step explanation:
37
Find the equation of the line in slope-intercept form. f Slope is 2/3 through (3, 4)
Answers
Answer:
y=2/3x+2
Step-by-step explanation:
50 Points, Will mark brainliest!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠ACD=(5x+25)∘, m∠BDC=(25x+35)∘
Answers
Answer:
m∠ACD = 50°
m∠BDC = 160°
Step-by-step explanation:
From the picture attached,
Two parallel lines AC and BD are intersected by a transversal line.
Angles formed ∠ACD and ∠BDC are the consecutive angles.
By the theorem of consecutive interior angles,
m∠ACD + m∠BDC = 180°
(5x + 25)° + (25x + 35)° = 180°
30x + 60 = 180
30x = 180 - 60
30x = 150
x = 5
Therefore, m∠ACD = (5x + 25)
= 5(5) + 25
= 50°
And m∠BDC = (25x + 35)°
= 25(5) + 35
= 125 + 35
= 160°
Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-9,6); m = 6 The equation of the line is (Simplify your answer. Type your answer in point-slope form.)
Answers
Answer:
y = -54 + 60
Step-by-step explanation:
multiply 6 and -9 to get -54 (6)(-9) = -54
then subtract -54 from 6 to get 60 6 - (-54) = 60
then put it in equation form as, b = 60, and x = -54
y = -54 + 60
plz mark brainliest
The equation of line passes through the points (-9, 6) will be;
⇒ y = 6x + 60
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line is (-9, 6).
And, The slope = 6
Now,
Since, The equation of line passes through the point (-9, 6).
And, Slope of the line is,
m = 6
Thus, The equation of line with slope 6 is,
⇒ y - 6 = 6 (x - (-9))
⇒ y - 6 = 6 (x + 9)
⇒ y - 6 = 6x + 54
⇒ y = 6x + 54 + 6
⇒ y = 6x + 60
Therefore, The equation of line passes through the points (-9, 6) will be;
⇒ y = 6x + 60
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Which measure is equivalent to 3 mi?
1 ft = 12 in.
1 mi = 5280 ft
Answers
Answer:The 3 mi is equivalent to 190080 in. Step-by-step explanation: As given. 1 mi = 5280 ft. 1 ft = 12 in. Now first convert 3mi into ft . 3mi = 3 × 5280. = 15840 ft.
Can someone please help, ty!!
(Will mark brainliest)
Answers
Answer:
Its the second one
Step-by-step explanation:
I used slope to solve it
plz help im having a very hard time answering these questions
i will mark u as brainliest
Answers
STEP BY STEP EXPLANATION:
drops
a) cual es la resistencia equivalente de todo el circuito
B) cual es la corriente I de la bateria
Answers
please view the picture
Answers
Answer:
see below
Step-by-step explanation:
3x+9y = 27.9
To find the x intercept , let y=0
3x +0 = 27.9
Divide each side by 3
3x/3 = 27.9/3
x = 9.3
The x intercept is 9.3
To find the y intercept , let x=0
0+9y = 27.9
Divide each side by p
9y/9= 27.9/9
y = 3.1
The y intercept is 3.1
ava rents the snowboard for 4 days . Lucia rents the boots for 5 days . What is the total cost of the rentals ?
Answers
whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total
Answer:
358
Step-by-step explanation:
Student A: Types 32 words in 1 minute
Student B: Types one word in 0.05 minutes
Who types faster
Answers
Answer:
student A types faster
Step-by-step explanation: if student B can only type one word in 0.05 minutes then he would only be typing 20 words per minute, compared to the 32 student A can type.
Question 1: The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 31 technicians using the old method and the other 46 technicians using the new method. For the 31 technicians using the old method, the average time was 525 minutes with 47.7 standard deviation. For the 46 technicians using the new method, the average time was 520 minutes with 48.2 standard deviation. Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the test statistic value.
Question 2:
The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 39 technicians using the old method and the other 55 technicians using the new method.
For the 39 technicians using the old method, the average time was 582 minutes with 63.8 standard deviation.
For the 55 technicians using the new method, the average time was 542 minutes with 97.8 standard deviation.
Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.
Answers
Answer:
Question 1
The test statistics is [tex]t = 0.44[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
Question 2
The degree of freedom is [tex]df = 92 [/tex]
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
Explanation:
Considering Question 1
Here we are told to provide the test statistics
From the question we are told that
The first sample size is [tex]n_1 = 31[/tex]
The second sample size is [tex]n_ 2 = 46[/tex]
The first sample mean is [tex]\= x_1 = 525 \ minutes[/tex]
The first standard deviation is [tex]\sigma_1 = 47.7[/tex]
The second sample mean is [tex]\= x_2 = 520 \ minutes[/tex]
The second standard deviation is [tex]\sigma_2 = 48.2[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 31 + 46 -2[/tex]
=> [tex]df = 75 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{( 525- 520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]
=> [tex]t = 0.44[/tex]
Let assume that the level of confidence is [tex]\alpha = 0.05[/tex]
Generally the probability of t at a degree of freedom of is [tex]df = 75[/tex]
[tex]P(t > 0.44 ) = 0.33060124 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 2.398)[/tex]
=> [tex]p-value = 2 * 0.33060124[/tex]
=> [tex]p-value = 0.66120[/tex]
From the value obtain we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
The conclusion is that there is no sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
Considering Question 2
Here we are told to provide the degree of freedom
From the question we are told
The first sample size is [tex]n_1 = 39[/tex]
The first sample mean is [tex]\= x_1 = 582 \ minutes[/tex]
The first standard deviation is [tex]\sigma_2 = 63.8[/tex]
The second sample size is [tex]n_ 2 = 55[/tex]
The second sample mean is [tex]\= x_2 = 542 \ minutes[/tex]
The second standard deviation is [tex]\sigma_2 = 97.8 [/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 39 + 55 -2[/tex]
=> [tex]df = 92 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{( 582 - 542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]
=> [tex]t = 2.398[/tex]
Let assume that the level of confidence is [tex]\alpha = 0.05[/tex]
Generally the probability of t at a degree of freedom of is [tex]df = 92 [/tex]
[tex]P(t > 2.398 ) = 0.00925214[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 2.398)[/tex]
=> [tex]p-value = 2 * 0.00925214[/tex]
=> [tex]p-value = 0.0185[/tex]
From the value obtain we see that [tex]p-value < \alpha[/tex] hence we reject the null hypothesis
The conclusion is that there is sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Answers
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
Which number line shows 1/3 and its opposite
Answers
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?
Answers
Answer:
(0,-26)
Step-by-step explanation:
0 -26
17 -39
34 -52
51 -65
68 -78
Round 143.596 to the nearest hundredth
Answers
Answer:
143.6
Step-by-step explanation: i swear its right
SOMEBODY HELP !!!!!!!
Answers
Answer:
i got
[tex] - \frac{11}{12} [/tex]
I do not know if I'm right please tell me me if I'm wrong
What is is 7(-5v - 8)
Answers
Hope this helps! :))
-7 x 5v- 7 x 8
-35v - 7 x 8
Which is a correct way to subtract from a number? (A). Add 100 then subtract 1 (B). Add 100 then add 2. (C). Subtract 100 then add 2 (D). Subtract 100 then add 1.
Answers
Answer:
A is the answer
Step-by-step explanation:
According to BODMAS (or DMAS), first we add and then subtract
if both operations are of add, we add it at the same time
I need help please
Answers
Answer:
x=-4
Step-by-step explanation:
When the slope is undefined, we have a vertical line
A vertical line is of the form
x=
We have a point ( -4,2) so the x coordinate is -4
x=-4
Answer:
( -4,2)
Step-by-step explanation:
Please help ASAP! All questions.
Answers
Answer:
I think i don't really know its been awhile for me.
Step-by-step explanation:
But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.
I may not be right.
So please don't hate i tried.
The slope of a line is ¾. A different line passes through the points (6, 3) & (-1, 5). Are the lines parallel? Why or why not?
Answers
Answer:
B. They are not parallel because their slopes are not equal.
Step-by-step explanation:
Find the slope of the line that runs through points (6, 3) and (-1, 5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 3}{-1 - 6} [/tex]
[tex] slope (m) = \frac{2}{-7} = -\frac{2}{7} [/tex]
Since the slope of the line that passes through points (6, 3) and (-1, 5) is not the same with line that has a slope of ¾, therefore, both lines cannot be parallel.
The answer is "B. They are not parallel because their slopes are not equal."
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answers
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
Which of the pairs of events below is mutually exclusive?
Select the correct answer below:
drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
drawing a 2 and drawing a 4 with replacement from a standard deck of cards
drawing a heart and then drawing a spade without replacement from a standard deck of cards
drawing a jack and then drawing a 7 without replacement from a standard deck of cards
Answers
Answer:
Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
Step-by-step explanation:
Given four pair of events:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards
To find:
Which of the pairs is mutually exclusive?
Solution:
First of all, let us have a look at the definition of mutually exclusive events.
Mutually exclusive events do not have any case in common.
In other words, two events are known as mutually exclusive when both the events can not occur at the same time.
Now, let us have a look at the given options one by one:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
We know that there is only one ace of spades in a standard deck.
Therefore, the two events can not occur one after the other, so these are mutually exclusive events.
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.
The two events can occur one after the other, so these are not mutually exclusive.
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
Find the cardinal number of the set:
{2,4,6,...,18}
Answers
Answer:
9
Step-by-step explanation:
The cardinality of a set - the number of terms in that set.
in the set {2, 4, 6, ... 18}
We can assume that the numbers follow a pattern: in this case, the pattern is multiples of 2 till 18 starting with 2.
so that means that the full set is
{2, 4, 6, 8, 10, 12, 14, 16, 18}
There are 9 numbers in that set;
so the cardinality of the set is 9
A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infusion. Whats the total volume of the iv?
Answers
9514 1404 393
Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
_____
* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.