Please answer this correctly

Answer:

k = 12

Step-by-step explanation:

To find the missing number, we would first draw the number line and insert some of the numbers listed above using trial and error.

The numbers would be from 0 to 19. This is because the ten numbers given are the distances between pairs of points from smallest to largest.

That is to get 2, the pairs of point would have to be between 0 and 2, likewise to get 19, the pairs of point would have to be between 0 and 19.

Let's draw the first number line by placing the numbers from the above analysis: 0, 2 and 19

To get a distance of 7, the pairs could be 0 and 7 ; 8 and 15

We would represent this on the number line.

From the arrows drawn, we can see we have distances: 2, 7, 15, 19, 5, 13, 17, 8, 12, 4

The number available in this list but not specified in the ten distance list in the question is 12.

Therefore, the value of k = 12

Answer:

Step-by-step explanation:

Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...

  mpy[n] = n·mp[n-1]

  mpy[2] = 2

So, ...

  mpy[n] = n! . . . n ≥ 2

__

If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...

  10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10

Then the larger matrices take ...

  n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min

  n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years

  n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years

_____

For the shorter time periods (less than 100 years), we use 365.25 days per year.

For the longer time periods (more than 400 years), we use 365.2425 days per year.

Answer:

x = 4 ± √13

Step-by-step explanation:

x² − 8x + 3 = 0

Complete the square.  (-8/2)² = 16.

x² − 8x + 16 − 13 = 0

(x − 4)² − 13 = 0

(x − 4)² = 13

x − 4 = ±√13

x = 4 ± √13

Answer:

Option (3)

Step-by-step explanation:

A stone has been thrown off towards the ground from a height [tex]h_{0}[/tex] = 18 feet

Initial speed of the stone 'u' = 4.5 feet per second

Since height 'h' of a projectile at any moment 't' will be represented by the function,

h(t) = ut - [tex]\frac{1}{2}(g)(t)^2[/tex] + [tex]h_{0}[/tex]

h(t) = 4.5t - [tex]\frac{1}{2}(32)t^2[/tex]+ 18 [ g = 32 feet per second square]

h(t) = 4.5t - 16t² + 18

h(t) =-16t² + 4.5t + 18

Therefore, Option (3) will be the answer.

Answer:

There are two complex roots.

Step-by-step explanation:

When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.

Answer:

x^2               -2x              +5

Step-by-step explanation:

               x^2               -2x              +5

            ----------------------------------------------------------

2x + 5  /    2x^3      +     x^2       +    0x         + 25

               -(2x^3      +   5x^2)

              ----------------------------

                                    -4x^2       +    0x        

                                  -( -4x^2      -    10x )

                                   -----------------------------------------

                                                           10x           + 25

                                                         -(10x            + 25)

                                                         ---------------------------

                                                                                   0

The desired quotient is x^2               -2x              +5

Answer:

$2.40

Step-by-step explanation:

4.5/15=x/8

15x=36

x=2.4

Answer:

q<16

Step-by-step explanation:

Multiply four quarts by four gallons. This gives us 16. Now, since it says less than, and not less than or equal to, we use < symbol. q<16

Answer:

q<16

Step-by-step explanation:

Answer: (x - 4) (3x + 2)

Step-by-step explanation:

Factor 3x² - 10x - 8

a) Multiply the first and last coefficients: 3(-8) = -24

b) Find two numbers whose product equals -24 and sum equals -10 (the middle coefficient).

                                           -24

                                             ∧

                                          1    -24

                                          2    -12    This works!

c) Replace the the middle term of -10x with 2x - 12x

    3x² + 2x - 12x - 8

d) Split the equation into two sections (left and right) and factor each side separately.

     3x² + 2x          - 12x - 8

   x(3x + 2)            -4(3x + 2)

e) Notice that the parenthesis are the same. The values on the outside combine to make one of the factors and the parenthesis are the other factor.

 x(3x + 2)            -4(3x + 2)

= (x - 4) (3x + 2)

Answer:

[tex] \frac{x}{115}= \frac{2\pi}{360}[/tex]

And solving for x we got:

[tex] x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi[/tex]

since the value obtained is higher than [tex]\pi/2[/tex] and lower than [tex] \pi[/tex] we can conclude that this angle would be in the second quadrant.

B. II

Step-by-step explanation:

In order to solve this problem we can write the angle in terms of pi using the following proportion rule:

[tex] \frac{x}{115}= \frac{2\pi}{360}[/tex]

And solving for x we got:

[tex] x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi[/tex]

since the value obtained is higher than [tex]\pi/2[/tex] and lower than [tex] \pi[/tex] we can conclude that this angle would be in the second quadrant.

B. II

AAS is the same as SAA

The arcs shown indicate those angles are congruent. Another pair of congruent angles are the vertical angles formed by the X crossing. That's two "A"s so far. The tickmarks of the segments mean those segments are the same length. So this is why we can use AAS here.

Answer:

d) 50

Step-by-step explanation:

The frequency, that in this case means absolute frequency, means the total amount of subjects that vote for each candidate (not the proportion, that would correspond to the relative frequency).

If the distribution is uniform and we have 3 categories or classes, the three of them should have the same frequency.

The sample size is: 40+60+50=150.

If we have 3 classes, and the distribution is uniform, we should have a frequency for each class of 150/3=50.

Answer:

2.5% of adults are intellectually disabled by this criterion

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 105

Standard deviation = 16

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

What percent of adults are intellectually disabled by this criterion

Below 73

73 = 105 - 2*16

So 73 is 2 standard deviations below the mean.

Of the 50% of the measures that are below the mean, 95% are within 2 standard deviations of the mean, that is, between 73 and 105. The other 100 - 95% = 5% are below 73. So

0.05*0.5 = 0.025

0.025*100 = 2.5%

2.5% of adults are intellectually disabled by this criterion

Answer:

$3/4 ounces

.75 per ounce

Step-by-step explanation:

Take the dollar amount and divide by the number of ounces

18/24

$3/4 ounces

.75 per ounce

Answer:

22.68

Step-by-step explanation:

82.24 =-8.48 + 4x

82.24+8.48 = 4x

90.72=4x

90.72/4=x

22.68=x

Answer:

The minimum score required for the job offer is 751.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 587, \sigma = 152[/tex]

What is the minimum score required for the job offer?

Top 14%, so the minimum score is the 100-14 = 86th percentile, which is X when Z has a pvalue of 0.86. So X when Z = 1.08.

Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.08 = \frac{X - 587}{152}[/tex]

[tex]X - 587 = 1.08*152[/tex]

[tex]X = 751.16[/tex]

Rounding to the nearest whole number:

The minimum score required for the job offer is 751.

Answer:

a histogram

Step-by-step explanation:

You can count easily from hiistogram how many vehicles had driven more than 200,000 km (kilometers) and that's not the case with the box plot

Answer:

2880

Step-by-step explanation:

Consider the 5 boys to be 1 group.  The boys and 3 girls can be arranged in 4! ways.

Within the group, the boys can be arranged 5! ways.

The total number of permutations is therefore:

4! × 5! = 2880

Answer:

1. constant speed of 6 units per second

2. yes

3. clockwise

4. no it begins from the point ( 0 , 1 )

Step-by-step explanation:

Solution:-

- The position of a particle moving in a path of a unit circle is defined by the following vector equation:-

                    r ( t ) = sin ( 6t ) i + cos ( 6t )  j

- To determine the speed of the particle in the circular motion we will derivate the position vector ( r ) of the particle with respect to time ( t ) to get the velocity vector:

                   d r (t ) / dt = v ( t )

                   v ( t ) = 6*[ cos ( 6t ) i - sin ( 6t ) j ]

- We will determine the speed of the particle by determining the magnitude of the velocity vector v ( t ) as follows:

                 | v(t) | = [tex]\sqrt{6^2 * cos^2 ( 6t ) + 6^2 * sin^2 ( 6t )}[/tex]

                 | v(t) | = [tex]\sqrt{36. [cos^2 ( 6t ) + sin^2 ( 6t ) ] }[/tex]

                 | v(t) | = [tex]\sqrt{36.} \sqrt{1} = 6[/tex]

- The speed | v(t) | remians constant at 6 units per second.  

- To determine the acceleration vector a ( t ) we will derivate the velocity vector v ( t ) with respect to time t as follows

                d v(t) / dt = a ( t )

                a ( t ) = - 36 * [ sin ( 6t ) i + cos ( 6t ) j ]

- To determine whether the two vectors v ( t ) and a ( t ) are orthogonal to each other we will apply the dot product test for orthogonal vectors to be equal to zero as follows:

              v(t) . a (t) = -6*36 [ cos ( 6t ) * sin ( 6t )  -  sin ( 6t ) * cos ( 6t ) ]

              v(t) . a (t) = -6*36 [ 0 ]  = 0  ... ( proven )

- The velocity and acceleration vectors are orthogonal at all times t.

- To determine the direction of particle motion we will plug in two consecutive values of t = 0 and t = π / 6 and determine the value of position vector r ( t ):

           r ( 0 ) = sin ( 0 ) i + cos ( 0 ) j

           r ( 0 ) = 0 i + 1 j

          r ( π / 12 ) = sin ( π/2 ) i + cos ( π /2 ) j

          r ( π / 12 ) = 1 i + 0 j

- Plot the two points r ( 0 ) and r ( π / 12 ) on a Cartesian coordinate system and join the two with a curve directed from [ 0 i + 1 j ] to [ 1 i + 0 j ]. We see the motion is clockwise and starts from point ( 0 , 1 ) not ( 1 , 0 )

Answer:

90 feet

Step-by-step explanation:

==>Given:

Rectangular room measuring 21 feet by 23 feet

==>Required:

Perimeter of the room = the length of all sides of the room

==>Solution:

Using the formula P = 2L + 2W, we can find the perimeter of the rectangular room assuming that length big the room (L) = 23 ft, while the width (W) = 22 ft.

Therefore,

P = 2(23) + 2(22)

P = 46 + 44

P = 90 ft

Perimeter of the room = 90 feet

Answer:

121 square feet

Step-by-step explanation:

The area of a triangle is the height multiplied by the base divided by 2. Since this is a right triangle, you can simply use the two legs for this. The area of this triangle is therefore:

[tex]\dfrac{24.2\cdot 10}{2}=\dfrac{242}{2}=121[/tex]

Hope this helps!

Answer:

Area: 121 feet²

Step-by-step explanation:

The formula for the area of any triangle is [tex]\frac{1}{2} *b*h[/tex]

This triangle's base is 10 feet

This triangle's height is 24.2 feet

[tex]\frac{1}{2} *10*24.2=\\5*24.2=\\121[/tex]

The area of the triangle is 121 square feet or 121 ft²

Answer: w=4, y=4

Step-by-step explanation:

For this problem, we can use the 30-60-90 triangle to find out what the length of w and y are. 30-60-90 triangle is a special triangle. The hypotenuse is 2x in length. It is directly opposite the right angle. The leg opposite of 60° is x√3 in length. The leg opposite of 30° is x. For all 3 legs, wherever you see x, you plug in the same number.

We can look at the figure as 2 separate triangles.

For the triangle on the right, we can see the hypotenuse is 8. Since we know the length of the hypotenuse is 2x, we can plug in 8 for 2x to find x.

2x=8

x=4

Now that we know x=4, we can directly plug it into the lengths above.

W is across from 30°. Above, we have established that the leg across from 30° has the length of x. Since x=4, w=4.

Since w=4, we can use this information to find the length of y by looking on the left triangle. Now, y is across from 30°. In the first paragraph, we stated that the leg across from 30° is x. Since we know x, we can directly plug it into this. After we plug it in, y=4.

Answer:

Step-by-step explanation:

When we use the distributive property for expanding polynomial products, we often use it in the form ...

  (a +b)c = ac +bc

Here, we have ...

  (a +b) = (x -1)   ⇒   a=x, b=-1

  c = (4x+2)

So, the proper application of the distributive property looks like ...

  (a +b)c = ac +bc

  (x -1)(4x +2) = x(4x+2) -1(4x+2) . . . . . different from the work shown

We must conclude ...

  The distributive property was not applied correctly in the first step.

hi

if   reduce equation of line is   y = 3x  

and if  x = -2  so y = 3*-2 = -6

Answer:

156 minutes

Step-by-step explanation:

So we need to create an equation to represent how Frank's phone company bills him

So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"

They then charge $0.06 for every minute he talks, this will be our "slope"

Combining everything into an equation, we have: y = 0.06x + 8

Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value

Frank used up a total of 156 minutes

Answer:

Step-by-step explanation:

Let X denote the first step

Let Y denote the second step

Then

E(X) = 0.2

E (Y) = 0.3

V (X) = 0.04

V (Y) = 0.09

Now,

E(X,Y) = E[X] + E{Y}

0.2 + 0.3 = 0.5

And since X and Y are independent

Therefore,

V(X , Y) = V(X) + V(Y)

= 0.04 + 0.09

= 0.13

Now required probability is

[tex]P\{ \sum X_i+\sum Y_i<8 \}=P\{ \frac{\sum X_i + \sum Y_i-nE[X+Y]}{\sqrt{Var(X+Y)n} } <\frac{8-20\times0.5}{\sqrt{0.13\times20} } \}\\\\=P\{Z_n<\frac{8-10}{\sqrt{2.6} } \}\\\\=P\{Z_n<-1.24\}[/tex]

= Φ(-1.24)

= 1 - Φ (1.24)

= 1 - 0.8925

= 0.1075

Answer:

[tex] 43100 \leq \mu \leq 59710[/tex]

And for this case we want to test the following hypothesis:

Null hypothesis: [tex] \mu =42000[/tex]

Alternative hypothesis: [tex] \mu \neq 42000[/tex]

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

Step-by-step explanation:

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

And for this case the 95% confidence interval is already calculated as:

[tex] 43100 \leq \mu \leq 59710[/tex]

And for this case we want to test the following hypothesis:

Null hypothesis: [tex] \mu =42000[/tex]

Alternative hypothesis: [tex] \mu \neq 42000[/tex]

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

Answer: Yes, because $42,000 is not contained in the 95% confidence interval, the null hypothesis would be rejected in favor of the alternative, and it could be concluded that the mean family income is significantly different from $42,000 at the α = 0.05 level

Step-by-step explanation:

took the test

Answer:

Stem | Leaf

    13 | 4 9 9

    16 | 0 2 3 6

Step-by-step explanation:

134, 139, 139

160, 162, 163, 166

Answer:

a=[tex]\frac{y-k+h}{vx}[/tex]

Step-by-step explanation:

y=avx-h+k

subtract k and add h to both sides

y-k+h=avx

divide v and x from both sides

[tex]\frac{y-k+h}{vx}[/tex]=a

Answer:

The value of a is [tex]a=\frac{y+h-k}{vx}[/tex]

Step-by-step explanation:

What is expression?

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.

What is radical symbol?

In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number.

Given,

[tex]y=avx-h+k\\= > y+h-k=avx\\= > a=\frac{y+h-k}{vx}[/tex]

To know more about expression, radical symbol here

https://brainly.com/question/12293949

#SPJ2

Answer:

15<x<27

Step-by-step explanation:

Rule for the sides of a triangle:

The sum of the two smallest sides of a triangle must be greater than the biggest side.

In this question:

Sides of 6, 21 and x. We have to find the range for x.

If 21 is the largest side:

Two smallest are 6 and x.

x + 6 > 21

x > 21 - 6

x > 15

If x is the largest side:

Two smallest and 6 and 21. So

21 + 6 > x

27 > x

x < 27

Then

x has to be greater than 15 and smaller than 27. So the answer is:

15<x<27