You are currently earning £14,600 per year. At your annual review, you are awarded a wage rise of 1.5%. What is your new rate of pay per year?

Answer:

sin 60 =√3/2 = 0.8660

Step-by-step explanation:

sin 60 = opposite/hypotenuse

sin 60 = x√3/2x

sin 60 = √3/2 since x cut x

sin 60 = 0.8660 or √3/2

Answer:

I’m pretty sure the answer is 1/4.

Step-by-step explanation:

Answer:

x^20 please mark me brainliest

Step-by-step explanation:

Answer:

148 children and 140 adults were admitted.

Step-by-step explanation:

Given that the admission fee at an amusement park is $ 3.50 for children and $ 13.00 for adults and on a certain day, 288 people entered the park, and the admission fees collected totaled $ 2,338.00, to determine how many children and how many adults were admitted you must be perform the following calculation:

13 - 3.5 = 9.50

288 x 3.50 = X

1.008 = X

2338 - 1008 = 1330

1330 / 9.5 = 140

288 - 140 = 148

148 x 3.5 + 140 x 13 = X

2338 = X

Therefore, 148 children and 140 adults were admitted.

Answer: The answer is neither because the slopes are 2/7 and 7/2.

Step-by-step explanation:

While these answers look like they are perpendicular, they are not since the signs are the same. If they were perpendicular the signs would be different. Ex: 2/7 and -7/2. These points are perpendicular since their signs changes as well as being "flipped".

:)

Answer:

31.5 inches

Step-by-step explanation:

A = 1/2 h l

A= 1/2 (7) (9)

A = 1/2 (63)

A = 31.5 inches

h=height

l=length of base

The sampling distribution of the sample mean height and the sampling distribution of the sample range of height are 71.5 inches and 7 inches.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Heights: 68, 71, 72, and 75 inches

Now,

Mean height.

= (68 + 71 + 72 + 75) / 4  

= 286/4

= 71.5 inches

Sample range.

= Highest height - Lowest height

= 75 - 68

= 7 inches

Thus,

The mean height is 71.5 inches.

The sample range of height is 7 inches.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

Answer:

c. Incorrect

Step-by-step explanation:

According to the third sentence in assumption "Some employees who attend both training programmes are in Department B.", it is clear that there are certain employees in department B, who are attending both the training. Hence, all the employees who attend the sales training programme and who attend the technical training programme are not in Department A. Some of them are in department B as well.

Therefore, the conclusion is not correct and the final answer is:

c. Incorrect

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that [tex]\mu = 650, \sigma = 24[/tex].

Sample of 36:

This means that [tex]n = 36, s = \frac{24}{\sqrt{36}} = 4[/tex]

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Answer: x = 21

Step-by-step explanation:

5x + (3x + 12) = 180

8x + 12 = 180

8x = 168

168/8 = 21

Answer:

The first car's speed is 40 mph. 2 hours at that rate equals 80 miles. So:

140-80=60

60 miles/2 hours=30 mph as the rate of the second car.

Step-by-step explanation:

Answer:

96.56064 km

Step-by-step explanation:

1 mi = 1.609344 km

60 mi = 60 * 1.609344 km = 96.56064 km

Answer:

96 km

Step-by-step explanation:

mi /0.62137 = km

60 / 0.62137 = 96.56064 km

Answer:

129 degrees

Step-by-step explanation:

Answer:

The equation of the parabola is [tex]y = -12\cdot x^{2}[/tex].

Step-by-step explanation:

Since the directrix is of the form [tex]y = a[/tex], the parabola is vertical. The vertex of the parabola ([tex]V(x,y)[/tex]) is the midpoint between the focus ([tex]F(x,y)[/tex]) and a point of the directrix ([tex]P(x,y)[/tex]), that is to say:

[tex]V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y)[/tex] (1)

If we know that [tex]F(x,y) = (0, -3)[/tex] and [tex]P(x,y) = (0, 3)[/tex], then the coordinates of the vertex of the parabola:

[tex]V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)[/tex]

[tex]V(x,y) = (0, 0)[/tex]

The vertex factor ([tex]p[/tex]) is the distance of the focus with respect to the vertex:

[tex]p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]}[/tex] (2)

If we know that [tex]F(x,y) = (0, -3)[/tex] and [tex]V(x,y) = (0, 0)[/tex], then the vertex factor is:

[tex]p = \sqrt{0^{2}+(-3)^{2}}[/tex]

[tex]p = -3[/tex]

The equation of the parabola in the vertex form is described below:

[tex]y - k = 4\cdot p \cdot (x-h)^{2}[/tex] (3)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]h, k[/tex] - Coordinates of the vertex.

If we know that [tex](h,k) = (0, 0)[/tex] and [tex]p = -3[/tex], then the equation of the parabola is [tex]y = -12\cdot x^{2}[/tex].

Answer:

your just putting the numbers at the bottom into the line plot . so let's say  there is 333 u would up the three 3 on the plot .

Step-by-step explanation:

hope this helps let me know if u need a better explanation

9514 1404 393

Answer:

  12.25 (or -18.75)

Step-by-step explanation:

If you pay attention to the square of a binomial, ...

  (x -a)² = x² -2ax +a²

You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².

In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.

So, you can think of this ambiguous question in a couple of ways.

Concern is only with the x-terms:

  x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides

  (x -3.5)² +31 = 12.25 . . . . write the x-terms as a square

Concern with the equation overall:

You want the end result to have the x-terms in the form of the square ...

  (x -3.5)² = x -7x +12.25

The left side of the equation can be put in that form by adding -18.75 to both sides;

  x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides

  x² -7x +12.25 = -18.75 . . . . . . . . . simplify

  (x -3.5)² = -18.75 . . . . . . write the left side as a square

__

The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.

Answer:

Step-by-step explanation:

what is the meaning of  eliminated

Answer:

See The Image Below:)

Step-by-step explanation:

Answer:

-55

Step-by-step explanation:

2nd term=> -1 + -2 × (2 - 1)

3rd term=> -1 + -2 × (3 - 1)

:

28th term=> -1 + -2 × (28 - 1)

                => -1 - 54 = -55

Answer:

Points: (1,-1) (4,-1) (4,-3)

Step-by-step explanation:

Hope this helps

Answer:

(1,-1) (4,-1) (4,-3)

Step-by-step explanation:

bye have a good day

Answer:40

Step-by-step explanation:6/30

6x30=180

6x6=36

4/6=20

4+36=40

Answer:

It's D

Step-by-step explanation:

I traced all of them, cut them out and folded them. D is the only one that doesn't make a full cube. :)

Answer:

C=55+20h+m

Step-by-step explanation:

C = flat fee + dollars/hour + material expense

C = 55 + 20h + m

Hope this helps

Answer:

mean

Step-by-step explanation:

1. The mean is always one of the data values. 3. The mode is always one of the data values.

Answer: The mode.

Step-by-step explanation: The answer to this question is the mode, the answer is mode because there might be some numbers that show up the same amount of times like a different number. So there might be TWO modes :’).

Here are the definitions for mean, median, mode, and range:

Mean (the “average”) —> the sum of the numbers in the data set divided by the amount of numbers in the data set.

Median (the “middle”) —> the number in the middle of the data set, when the numbers are placed in numerical order.

Mode (the “most”) —> the number in the data set that shows up the most often.

Range —> the difference between the data set’s largest number and the data set’s smallest number.

——————————————————————

Hope this helps!!

Answer:

No solution

Step-by-step explanation:

Unfortunately your screenshot has cut off the final answer choice, if it says "no solution" you should choose that because these two lines are parallel. Meaning they will never intersect, and the point of intersection is usually the solution.

Answer:

Step-by-step explanation:

correct me if I'm wrong:)