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Answer:

990

Step-by-step explanation:

Answer:

{a,b,c,d,f,3,4,5,7}

Step-by-step explanation:

If X={a,b,c,3,4,5}

Y={b,d,f,3,5,7}

THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}

XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

The sets are given in the question, as follows:

X = {a,b,c,3,4,5}

Y = {b,d,f,3,5,7}

We have to determine the members of the set XUY, using set braces.

As per the question, the required solution would be as:

XUY = {a, b, c, d, f, 3, 4, 5, 7}

XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.

Learn more about set theory here:

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Answer:

y=mx+b

Step-by-step explanation:

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Answer:

Gddghdhdhdhy heifer here early enough h her y

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.

Answer:

6

Step-by-step explanation:

Answer:

38.8%

Step-by-step explanation:

This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.

The red triangle has an area = 1/2 h * b

The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)

The red triangle area = 1/2 6.5 * 6

The red triangle area = 19.5

The area of the circle = pi * r^2

pi = 3.14

r = 4

The area of the circle = 3.14 * 4^2

The area of the circle = 50.24

% = (19.5/50.25) * 100

% = 38.8%

Answer:

The monthly loan payment is of $458.88.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amount owed after 5 years:

Loan of 24000 means that [tex]P = 24000[/tex]

5 years means that [tex]t = 5[/tex]

Interest rate of 2.75% means that [tex]r = 0.0275[/tex]

Compounded monthly means that [tex]n = 12[/tex]

The amount is A(5). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]

[tex]A(5) = 27533[/tex]

What is your monthly loan payment?

$27,533 in 5 years = 5*12 = 60 months. So

27533/60 = 458.88

The monthly loan payment is of $458.88.

Answer:

the First One By Adding Four

The Second One Add Five And Two

The Third Add Two And Substract Four

Answer:

$2750 worth of simple interest

Step-by-step explanation:

The equation for simple interest is to multiply the amount by the time by the rate:

22000 * 5 * 0.025 = 2750

Hello!

This is a question relating trigonometric ratios and a missing angle.

Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.

I'll be using the sine ratio for this problem.

The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.

Meaning the following equation could be set up.

[tex]sin(\theta)=\frac{45}{75}[/tex]

Now, we can just solve for theta.

[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]

Make sure you're in degrees when you're solving this problem.

[tex]\theta=36.870[/tex]

Hope this helps!

Answer: 6625 sqaure yards

Step-by-step explanation:

Area for a trapezoid formula is A=(base 1 + base 2)·height÷2

So base one is 120 and base two is 10+120+15=145

and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625

Answer:

74.13

6×10=60

A=pi r^2

3.14×3^2=28.26

28.26/2 =14.13 (because it is half a circle)

14.13+60=74.13

not sure if that is correct but that is what i got

Answer:

(x-6)(x+6)

Step-by-step explanation:

so first you wanna break down the 85 minutes so 1 hour is 60 minues now its 7:45 but we still have 25 minutes left sow now we add the minutes it will be 8:05

8:05 is the answer

Answer:

Step-by-step explanation:

Answer:

630 ft

Step-by-step explanation:

(11 * 15) * 2 = 330 ft

(5 * 15) * 4 = 300 ft

330 + 300 = 630 ft

Answer:

-384

Step-by-step explanation:

Solve for each function first.

g(-5) = 3(-5) - 1

g(-5) = -16

f(-5) = -5^2 + 1

f(-5) = -24

Multiply.

(fg)(-5) = (-16 x -24)

(fg)(-5) = -384

Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.

Answer:

4 feet

Step-by-step explanation:

MN/RT=MO/RS

6/3=8/RS

6RS=24

RS=24/6

RS=4

SORRY IF LATE AND WRONG!!!

Answer:

B. $104.95

Step-by-step explanation:

$160.45-$55.50=$104.95

Answer:

C. 27

Step-by-step explanation:

If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the sane with the cats

9*3=27 therefore the answer is 27.

Answer:

C. 27

Step-by-step explanation:

If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the same with the cats

9*3=27 therefore the answer is 27.

Answer:

u= -210

Step-by-step explanation:

Hope this is helpful(please make me the brainliest!)

Answer:

the answer is 1 because the power of any no. 0 is always 1

Answer:

this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).

Step-by-step explanation:

102 - 8m = 86

86 - 102 = -16

-16/-8 = 2

Answer:

Its 2 bby :)

Step-by-step explanation:

When a number (in this case it's a variable) is put next to another number we are multiplying. So 8×2=16 Lets test it out. 102-16=86

Answer:

3

one

will represent

the student

Answer:

Nathan is 36.3910059 ft from the base of the lighthouse.

Step-by-step explanation:

So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj

The opposite is 112, and we have to find the adjacent.

tan(72) = 112/adj

3.07768354 = 112/adj

adj = 112/3.07768354

adj = 36.3910059