Help with the answer please

Answer:

148.67

Step-by-step explanation:

Angle between two vectors is equal to

Inverse cosine of their vectors dot product/ their magnitudes multiplied.

[tex]x = \cos {}^{ - 1} ( \frac{v \times v_{2} }{ |v| |v _{2} | } )[/tex]

Let first, find the dot product

[tex] < - 2,5 > \times < 4, - 3 > = - 8 - 15 = - 23[/tex]

Next we find magnitudes

[tex] - 2 {}^{2} + {5}^{2} = x {}^{2} [/tex]

[tex]29 = {x}^{2} [/tex]

[tex]x = \sqrt{29} [/tex]

[tex] {4}^{2} + {3}^{2} = {x}^{2} [/tex]

[tex]25 = {x}^{2} [/tex]

[tex]x = 5[/tex]

So the we are now,

[tex] \cos {}^{ - 1} ( \frac{ - 23}{ 5\sqrt{29}} ) [/tex]

We then get

[tex]148.67[/tex]

Using the normal distribution, it is found that:

a) There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.

b) There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.

c) There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.

d) The 15th percentile of the sociology salaries is of $19,825.

e) The salaries are $20,800 and $29,200.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem:

Item a:

The probability is 1 subtracted by the p-value of Z when X = 35000, hence:

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

[tex]Z = \frac{35000 - 25000}{5000}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.

Item b:

The probability is the p-value of Z when X = 22500, hence:

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

[tex]Z = \frac{22500 - 25000}{5000}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a p-value of 0.3085.

There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.

Item c:

This probability is the p-value of Z when X = 37500 subtracted by the p-value of Z when X = 25000, hence:

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

[tex]Z = \frac{37500 - 25000}{5000}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a p-value of 0.9938.

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

[tex]Z = \frac{25000 - 25000}{5000}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5.

0.9938 - 0.5 = 0.4938

There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.

Item d:

This is X when Z has a p-value of 0.15, so X when Z = -1.035.

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

[tex]-1.035 = \frac{X - 25000}{5000}[/tex]

[tex]X - 25000 = -1.035(5000)[/tex]

[tex]X = 19825[/tex]

The 15th percentile of the sociology salaries is of $19,825.

Item e:

Due to the symmetry of the normal distribution, it is the 20th percentile and the 80th percentile, that is, X when Z = -0.84 and X when Z = 0.84.

20th percentile:

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

[tex]-0.84 = \frac{X - 25000}{5000}[/tex]

[tex]X - 25000 = -0.84(5000)[/tex]

[tex]X = 20800[/tex]

80th percentile:

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

[tex]0.84 = \frac{X - 25000}{5000}[/tex]

[tex]X - 25000 = 0.84(5000)[/tex]

[tex]X = 29200[/tex]

The salaries are $20,800 and $29,200.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

In explanation

Step-by-step explanation:

Your mean=10

Median=10

Your mode is all of these numbers because none of them was in here more than once.

Your range would be 8 because range is highest number subtract lowest number so 14 is highest and 6 is lowest whats 14-6=8

Answer:

164.8

Step-by-step explanation:

I used a calculator :)

Answer:

wag po lagi umasa sa brainly

Answer:

yes it is correct 3/10+16/100=19/100

Answer:

Its letter B.

#Carryonlearning

Answer:

160:64

Step-by-step explanation:

224/7 we divide by 7 because 5 and 2 equals 7

224/7=32

32*5 and 32*2

160 and 64

160:64

Answer:

672 square inches

with area, multiply the side(s) by themselves for a single number, or their following numbers for more than 2 numbers.

Example

hope this helps!

Answer:

22.  [tex](x-1)^2+(y+2)^2=74[/tex]

26.  [tex]x^2+y^2=81[/tex]

Step-by-step explanation:

The center of a circle is the midpoint of the diameter.

[tex]\textsf{midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

(where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of the diameter)

The radius of the circle is the distance between the center and an endpoint of the diameter.

[tex]\textsf{radius}=\sqrt{(a-x_1)^2+(b-y_1)^2}[/tex]

(where [tex](a,b)[/tex] is the center of the circle, and [tex](x_1,y_1)[/tex] is an endpoint of the diameter)

The center-radius form of a circle: [tex](x - a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Question 22

[tex]\textsf{Let }(x_1,y_1)=(-4.5)[/tex]

[tex]\textsf{Let }(x_2,y_2)=(6,-9)[/tex]

[tex]\textsf{center}=\left(\dfrac{-4+6}{2},\dfrac{5-9}{2}\right)=(1,-2)[/tex]

[tex]\textsf{radius}=\sqrt{(1+4)^2+(-2-5)^2}=\sqrt{74}[/tex]

⇒ equation of circle: [tex](x-1)^2+(y+2)^2=74[/tex]

Question 26

[tex]\textsf{Let }(x_1,y_1)=(0,9)[/tex]

[tex]\textsf{Let }(x_2,y_2)=(0,-9)[/tex]

[tex]\textsf{center}=\left(\dfrac{0+0}{2},\dfrac{9-9}{2}\right)=(0,0)[/tex]

[tex]\textsf{radius}=\sqrt{(0-0)^2+(0-9)^2}=9[/tex]

⇒ equation of circle: [tex]x^2+y^2=81[/tex]

Expenses and receipts will total $2800 after 200 hours.

==============================================================

Explanation:

x = number of hours

Ron spends $11 an hour for operating costs. He spends 11x dollars on top of the $600 he spent on the equipment. The cost expression is 11x+600

On the flip side, Ron earns (on average) $14 an hour from the receipts or revenue. Overall, he earns 14x dollars.

Often in business applications, the owner is curious when s/he will break even. This is the point where the profit is 0 dollars, ie when cost = revenue.

So we'll set the two expressions equal to one another and solve for x.

cost = revenue

11x+600 = 14x

600 = 14x-11x

600 = 3x

600/3 = x

200 = x

x = 200

At the 200 hour mark is when Ron is likely to break even.

This x value leads to:

We get the same cost for each expression, helping to confirm that x = 200 is correct.

The bakery's expenses and receipts will total $2800 after 200 hours.

Answer:

7.157894736842105263

Step-by-step explanation:

(calculator)

Answer:

b=3d-2c

Step-by-step explanation:

Multiply b by 1.

Multiply b by 1.b+2c=3d

Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.

Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.b=3d−2c

Answer:

b=3d-2c

Step-by-step explanation:

Multiply b by 1.

Multiply b by 1.b+2c=3d

Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.

Multiply b by 1.b+2c=3dSubtract 2c from both sides of the equation.b=3d−2c

Answer:

30.4

Step-by-step explanation:

125/5 = 30.4

hope i could help

=30.4

Step-by-step explanation:

152/5

=30.4

Hope that helped

2-6 = -4 so 2x-6x would equal -4x

Answer: -4x

Answer:

And I also glue a board at the bottom. So I can lift if I want my number one. And I could have these as a stand-up. In the piece I made some little cupcakes that I'm going to put inside.

Step-by-step explanation:

And put 1, 3 5 7 9 0 in box

Answer:

36 Seconds

Step-by-step explanation:

3 x 12 equals 36

4 x 9 equals 36

what we do is find a least common multiple for both the numbers

hope this helps, if it does, can i have brainliest?

Answer:

50

Step-by-step explanation:

35/n x 100 = 70%

÷100 both sides

35/n = 0.70

x n both sides

35 = 0.70n

÷0.70 both sides

50 = n

Thus, the number you're after is 50

(n is a variable - representing an unknown number or value)

Check:

35/50 x 100 = 70%

Hope this helps!

[tex]0.00023[/tex]×[tex]1[/tex]×[tex]10^{6}[/tex]

= 0.00023 x 1×10×10×10×10×10×10

= 0.00023 x 1000000

= 230 mL

Formula: kL x 1000000 = mL

Step-by-step explanation:

answer is B which is 8•5 yds and 8•5√3 yds

Answer:

B

Step-by-step explanation:

5÷7 = 0.7142857142857

Hi,

64 ÷ 8 = x

X= the number of boxes

Hope I could help~ have a good day/night :]

Answer:

is p because if you miltiply it

We are given that :

Therefore, Volume :

➙ V = πr²h

➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )

➙ V = ( 22 / 7 ) × 576 × 21

➙ V = ( 22 × 576 × 21 ) / 7

➙ V = 266112 / 7

➙ V = 38016

‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~Hence, the volume of given cylinder is 38,016 cm³.

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

The Formula for volume of cylinder is given by :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎➙ πr²h

Answer:

The answer is 38016 cm³

Step-by-step explanation:

Now,

V = πr²h

V = 22/7 × (24)² × 21 cm

V = 22 × 24 × 24 × 3 cm

V = 38016 cm³

Thus, The volume of cylinder is 38016 cm³

-TheUnknownScientist 72