Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle.

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer: 16.74

Step-by-step explanation:

Use long multiplication to evaluate.

There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Answer:

Step-by-step explanation:

19/4 + 29/5

2.75 + 5.8

= 8.55

Answer:

One is a negative and the other is a positive. They are both set at an equal distance on either side of zero.

so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

Step-by-step explanation:                                                                          

a) We need to find the conditional p m f of X when Y = 1.

So, when Y = 1, there are only two X values: X =1 and X =2.

X can have any of the following values: 0, 1, 2, or 3                                                                                                        

so P(0) = 0/ 0.2 = 0          

P(1) = 0.1/(0.1+0.1) = 0.5

P(2) = 0.1/( 0.1+ 0.1) = 0.5

P(3) = 0/ 0.2 = 0

b)  The correlation coefficient of X and Y isρXY              

ρ^XY=(X,Y)=(X,Y)/σ^Xσ^Y=σ^XY/σ^Xσ^Y

We will calculate σ^X first by μ^x

f x(x) = 0.2; x = 0

= 0.2; x =1

= 0.2 ; x = 2

= 0.4 ; x = 3

μ^x = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^X^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^X = 1.166

We will calculate σ^y first by μ^y

f^ x (X) = 0.2; y = 0

= 0.2; y =1

= 0.2 ; y= 2

= 0.4 ; y = 3

μ^y = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^y^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^y = 1.166

Now we will calculate σ^XY

σ^2^XY = 0.4 * ( 3 - 1.8)* ( 3-1.8) + 0.2 *( 0 -1.8) * ( 0 - 1.8) + 0.1 * ( 1- 1.8) * ( 1- 1.8) + 0.1 * ( 2 -1.8) * ( 1 -1.8) + 0.1 * ( 1 - 1.8) * ( 2 - 1.8) + 0.1 * ( 2 - 1.8) * ( 2 - 1.8) = 1.26

σ^XY = 1.225        

so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

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Answer:

Girl's height: 3 1/3  ft

Giraffes height: 10 ft

Difference between the heights: 6  2/3

Step-by-step explanation:

Ok, so the question is  bit vague, so I'm not sure which of the following answers your are looking for, that's for you to put.

We have the girl's height.

We multiply the girl's height by 2 to get the giraffe's height.

We subtract the girls height from the giraffe's height to get the difference.

Step-by-step explanation:

\( - 12u + 13 = 8w - 3 \\ - 12u + 13 + 3 = 8w \\ - 12u + 16 = 8w \\ w = \frac{ - 12u + 16}{8} \\ w = \frac{ - 3}{2} u + 2\)

I hope that is useful for you :)

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

Answer:

81

Step-by-step explanation:

1st History test: 73

2nd History test: 77

3rd History test: 81

4th History test: 85

5th History test: 89

73+77+81+85+89 = 405

405/5 = 81

The proportion in the tail with regards to the z scores will be:

a. z= 1.00

P(z > 1.00) = 1 - P(Z < 1.00)

= 1 - 0.8413

= 0.1587

The tail will be on the right side.

The proportion of the tail will be 0.1587.

b. z = 0.50

P(z > 0.50) = 1 - P(Z < 0.50)

= 1 - 0.6915

= 0.3085

The tail will be on the right side.

The proportion of the tail will be 0.3085

c. z= -1.25

P(z < -1.25)

= 0.1056

The tail will be on the left side.

The proportion of the tail will be 0.1056.

d. z= -0.40

P(z < -0.40)

= 0.3446

The tail will be on the left side.

The proportion of the tail will be 0.3446.

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The required measure of the interior angle of the given irregular convex hexagon is equal to 135 degrees.

The sum of the exterior angles of any polygon, including a hexagon, is always 360 degrees.

Each exterior angle of a convex polygon is supplementary to its corresponding interior angle.

Sum of each exterior angle and its corresponding interior angle is always 180 degrees.

Let x be the measure of the sixth exterior angle of the hexagon, then the sum of all six exterior angles is,

⇒ 360 = 5a + x

where a is the measure of each of the other five exterior angles.

Rearrange this equation to solve for x,

⇒ x = 360 - 5a

Since each exterior angle is supplementary to its corresponding interior angle,

x + a = 180

Substituting x = 360 - 5a into this equation, we get,

⇒ 360 - 5a + a = 180

Simplifying this equation, we get,

⇒4a = 180

⇒ a = 45

Each of the other five exterior angles has a measure of 45 degrees.

The sum of each interior angle and its corresponding exterior angle is 180 degrees,

so the measure of each interior angle of the hexagon is,

180 - 45 = 135 degrees.

Therefore, the measure of the interior angle of the irregular convex hexagon is 135 degrees.

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Answer:

t= -1/2 ,t=4

Step-by-step explanation:

2t^2- t -4 =0

2t^2 - 8t+t -4=0

(we have to find the factor here. I have used The Product Sum method of factorization)

2t( t-4) + 1( t-4)=0

(2t+1) (t-4)=0

t= -1/2 ,t=4

Let the number be x:

So intepreting the word problem into words we will have:

Simplifying further, we will have:

Cross multiply:

Answer:

I feel like its C.

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

because all the a values are 5 more than b

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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RAID, which stands for Redundant Array of Inexpensive Disks, is a data storage technology that combines multiple physical disks into a single logical unit to provide data redundancy, improved performance, and increased storage capacity.

RAID accomplishes this by distributing data across multiple disks, so that if one disk fails, the data can be rebuilt from the remaining disks.

There are several different RAID levels to choose from, each with its own benefits and trade-offs. For a personal server with the goal of data backup and redundancy, RAID 1 would be a good choice.

Setting up RAID 1 is relatively straightforward. You'll need two identical hard drives of sufficient size, and a RAID controller (which may be built into the motherboard). You can then configure the RAID controller to mirror the data between the two drives, so that they appear as a single logical drive to the operating system.

It's worth noting that RAID is not a substitute for regular backups. While it can provide protection against disk failures, it won't protect against other types of data loss, such as accidental deletion or corruption. It's still important to have a regular backup schedule, and to store backups offsite or in the cloud to protect against physical damage or theft.

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Answer:

Step-by-step explanation:

16

lbozo

Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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Answer:

\(X \sim N(\mu, \sigma)\)

And from this case we can see that the deviation is given by:

\(\sigma = 3\)

Step-by-step explanation:

For this case we have the following notation given:

\( X \sim N (5,3)\)

And from this we know that the distribution for the random variable is normal and we know that in general the normal distribution is given by:

\(X \sim N(\mu, \sigma)\)

And from this case we can see that the deviation is given by:

\(\sigma = 3\)

Answer:

The area of the cross section is equal to the area of the base.

Step-by-step explanation:

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

9514 1404 393

Answer:

  1) Not Similar

  2) Not Similar

Step-by-step explanation:

1) The side length ratios, shortest to longest, are ...

  VU : UW : WV = 27 : 39 : 52 (reduced)

  DC : CE : ED = 12 : 19 : 24 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

__

2) The side length ratios, shortest to longest are ...

  MK : KL = 13 : 19 (reduced)

  HK : KG = 6 : 9 = 2 : 3 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

Answer:

2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.

Notice that:

Therefore:

If x²-7x-18=0 then:

Answer: x=9 or x= -2.

Answer:

The average rate of change of the function over the interval –3 ≤ x ≤ 4 is 2.

ok

a I'm sure

14*7*8

Step-by-step explanation:

we should multiple everything