(-2)to the third power

Answer:

when a straight line cuts two or more parallel lines then the angles forming on the side of transversal line exteriorly opposite to eachother is called exterior alternative angle.

for eg if AB //CD and EF is a transversal line meeting the parallel lines at G abd H then the exterior alternative angle are angle EGB = angle CHF and angle AGE=angle DHF are two pairs of exterior alternative angle .

hope its helpful to uh !!!!!!

Answer:

[tex] \frac{5}{9} [/tex]

Step-by-step explanation:

[tex]2 \frac{1}{9} \div 3 \frac{4}{5} \\ \\ = \frac{2 \times 9 + 1}{9} \div \frac{3 \times 5 + 4}{5} \\ \\ = \frac{18 + 1}{9} \div \frac{15 + 4}{5}\\ \\ = \frac{19}{9} \div \frac{19}{5}\\ \\ = \frac{19}{9} \times \frac{5}{19} \\ \\ = \frac{5}{9} [/tex]

Answer:

2{3[9+4(7-5)-4]}

2{3[9+4(2)-4]}

2{3[13(2)-4]}

2{3[26-4]}

2{3[22]}

2{66}

132

Step-by-step explanation:

Answer:

$2.06

Step-by-step explanation:

$2.99 x 6 = $17.94

$20.00 - $17.94 = $2.06

Hope this helps

Answer: $0.26

Step-by-step explanation:

Cost of 6 pens

= 2.99 x 6

= 17.94

Add sales tax at 10%,

= 17.94 x 1.1

= 19.74

Change due to me

= 20 - 19.74

= 0.26

Answer:

(a)[tex]-4+9[/tex]

(b)[tex]-2 \times 3[/tex]

Step-by-step explanation:

Part A

Moving 4 steps left, then moving 9 steps right

When you move left, we indicate with a negative sign while a move right is indicated with a positive sign.

Moving 4 steps left = -4

Moving 9 steps right = +9

Therefore, an expression for the statement is:[tex]-4+9[/tex]

Part B

When you lose or owe in word problems, it is usually indicated using a negative sign.

Therefore, the statement Shari lost 2 pencils can be represented with the integer: -2

Since Shari lost 2 pencils on 3 occasions, we simply have:

[tex]-2 \times 3[/tex]

Answer: B. Sameer did not use the correct equation

Step-by-step explanation:

12 IS three-fourths OF x

IS: equals

OF: multiplication

[tex]12=\dfrac{3}{4}x[/tex]

48 = 3x

16 = x

Answer:

it's b in Edg

Step-by-step explanation:

Answer:

y= 3/13x + 2/13

Step-by-step explanation:

3x-13y=2

Subtract 3x from both side

-13y=-3x-2

Divide by -13

y= 3/13x + 2/13

Answer:

[tex]y = \frac{2-3x}{-13}[/tex]

Step-by-step explanation:

=> 3x-13y = 2

Subtract 3x to both sides

=> -13y = 2-3x

Dividing both sides by -13

=> [tex]y = \frac{2-3x}{-13}[/tex]

Answer:

The critical value of  [tex]f(\theta) = 6\cdot \cos \theta + 3\cdot \sin 2\theta[/tex] are given by [tex]\theta \approx 0.091\pi \pm 2\pi\cdot n[/tex] or [tex]\theta \approx 0.909\pi \pm 2\pi \cdot n[/tex], [tex]\forall \,n \in \mathbb{N}[/tex]

Step-by-step explanation:

The function to be evaluated is [tex]f(\theta) = 6\cdot \cos \theta + 3\cdot \sin 2\theta[/tex], the first derivative of the function must be taken in order to determine the set of critical numbers. Each derivative are found by using the differentiation rule for a sum of functions and rule of chain and subsequently simplified by trigonometric and algebraic means:

First derivative

[tex]f'(\theta) = - 6 \cdot \sin \theta +6\cdot \cos 2\theta[/tex]

[tex]f'(\theta) = -6\cdot \sin \theta + 2\cdot (\cos^{2}\theta-\sin^{2}\theta)[/tex]

[tex]f'(\theta) = -6\cdot \sin \theta + 2\cdot [(1-\sin^{2}\theta-\sin^{2}\theta)][/tex]

[tex]f'(\theta) = -6\cdot \sin \theta + 2\cdot (1-2\cdot \sin^{2}\theta)[/tex]

[tex]f'(\theta) = -6\cdot \sin \theta + 2 - 4\cdot \sin^{2}\theta[/tex]

[tex]f'(\theta) = -4\cdot \sin^{2}\theta - 6\cdot \sin \theta +2[/tex]

The procedure to determine the critical number of the given function are described briefly:

1) First derivative is equalised to zero.

2) The resultant equation is solved.

Then,

[tex]-4\cdot \sin^{2}\theta - 6\cdot \sin \theta +2 = 0[/tex]

Whose roots are:

[tex]\sin \theta_{1} \approx 0.281[/tex] and [tex]\sin \theta_{2} \approx -1.781[/tex]

The sine function is a continuous function with a range between 1 and -1, so, only the first root offers a realistic solution. In addition, such function is positive at first and second quadrants and has a periodicity of [tex]2\pi[/tex] radians, the family of critical values are determined by the unse of inverse trigonometric functions:

[tex]\theta \approx \sin^{-1} 0.281[/tex]

There are two subsets of solutions:

[tex]\theta \approx 0.091\pi \pm 2\pi\cdot n[/tex] or [tex]\theta \approx 0.909\pi \pm 2\pi \cdot n[/tex], [tex]\forall \,n \in \mathbb{N}[/tex]

Answers:

a) 0.0625

b) 0.9375

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

Work Shown:

The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625

The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375

You can think of it like this

P(getting all four heads) + P(getting at least one tail) = 1

The phrasing "at least one tail" means "one tail or more".

Answer:

Step 2: (x + 4)(x + 2) = 8

Step-by-step explanation:

x2 + 6x + 8 = 0

x2 + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 2)(x + 4) = 0

Answer:

[tex]\bar X \sim N(\mu. \frac{\sigma}{\sqrt{n}})[/tex]

And we want to find the following probability:

[tex] P(\bar X >619)[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar x -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z=\frac{619-606}{\frac{62}{\sqrt{99}}}= 2.086[/tex]

And we can use the normal standard distirbution and the complement rule to find the probability:

[tex] P(z>2.086)=1 -P(z<2.086)= 1-0.982= 0.018[/tex]

Step-by-step explanation:

For this problem we have the following parameters given:

[tex]\mu = 606[/tex] represent the mean

[tex]\sigma = 62[/tex] represent the true deviation

[tex] n= 99[/tex] represent the sample size

For this case since the sample size is >30 we can use the central limit theorem and we can u se the following distribution for the sample mean

[tex]\bar X \sim N(\mu. \frac{\sigma}{\sqrt{n}})[/tex]

And we want to find the following probability:

[tex] P(\bar X >619)[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar x -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z=\frac{619-606}{\frac{62}{\sqrt{99}}}= 2.086[/tex]

And we can use the normal standard distirbution and the complement rule to find the probability:

[tex] P(z>2.086)=1 -P(z<2.086)= 1-0.982= 0.018[/tex]

Answer:

15.7

Step-by-step explanation:

Circumference = πd

π = 3.14

d = diameter (5 feet)

C = 3.14(5)

C = 15.7

Answer:

15.7 feet

Step-by-step explanation:

The circumference is equal to π × diameter.

3.14 × 5

= 15.7

The circumference of the circular post is 15.7 feet.

Answer:

(a) The probability of overbooking is 0.2135.

(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable X represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

P (A remaining passenger will arrive), p = 0.52

The random variable X thus follows a Binomial distribution with parameters n = 5 and p = 0.52.

(1)

Compute the probability of overbooking  as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

                                        [tex]=P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135[/tex]

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

[tex]=P(X<3)\\\\1-P(X\geq 3)\\\\=1-[{5\choose 3}(0.52)^{3}(1-0.52)^{5-3}+{5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}]\\\\=1-[0.323960832+0.175478784+0.0380204032]\\\\=0.4625399808\\\\\approx 0.4625[/tex]

Thus, the probability that the flight has empty seats is 0.4625.

Answer:

At a significance level of 0.05, there is not enough evidence to support the claim that the population mean is signficantly different from 2.5 g.

We can not conclude that the sample is drawn from a population with mean different from 2.5 g. This does not confirm that the sample is drawn from a population with mean 2.5 g (we can not confirm the null hypothesis, even if it is failed to be rejected).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean is signficantly different from 2.5 g.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=2.5\\\\H_a:\mu\neq 2.5[/tex]

The significance level is 0.05.

The sample has a size n=35.

The sample mean is M=2.49546.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.01839.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.01839}{\sqrt{35}}=0.0031[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.49546-2.5}{0.0031}=\dfrac{0}{0.0031}=-1.4605[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=35-1=34[/tex]

This test is a two-tailed test, with 34 degrees of freedom and t=-1.4605, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=2\cdot P(t<-1.4605)=0.1533[/tex]

As the P-value (0.1533) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the population mean is signficantly different from 2.5 g.

Answer:

g(x) = 2ˣ - 3

Step-by-step explanation:

f(0) is 1 since 2⁰ = 1

So to get to the point -2, we'd have to subtract 3.

Let's see where g(x) = 2ˣ - 3 takes us.

g(0) = 2⁰ - 3 = -2

g(2) = 2² - 3 = 1

That's already a match, so no further transformation needed.

Answer:

  82.5%

Step-by-step explanation:

It helps to start with the correct formula:

  f(x) = ((6)(1.0) +x(0.3))/(6 +x) . . . . parentheses are required

Then f(2) is ...

  f(2) = (6 +.3(2))/(6+2) = 6.6/8

  f(2) = 82.5%

Answer:

This question is very simple,

Ok first you will need to find the x and y intercepts by letting y=0 and x=0

First let x=0

so, 0-y=1

y=-1

let y=0

x-0=1

x=1

now we know

x-intercept=(1,0)

y-intercept=(0-1)

Hence, find the graph that has the two corresponding points and that would be the graph you are looking for.

Step-by-step explanation:

Answer:

1144cm²

Approx. 1100cm²

Step-by-step explanation:

Area of rectangle=

L×B

34×20 = 680cm²

Area of semi-circle=

πr²

3.14 × (10)² = 314cm²

Area of triangle=

½b×h

b = 49 - 34 = 15

20 × 15 = 150cm²

2

Area of shape =

680 + 314 + 150 = 1144cm²

approx. 1100cm²

Please mark my answer as brainliest <3

Answer:

8483 ft²

Step-by-step explanation:

Subtract the area of the smaller circle from the area of the greater circle

Greater Circle area:

πr² = π × 140²

= 61583.2 ft²

Smaller Circle area:

= π × 130²

= 53099.8 ft²

Area of track:

61583.2 - 53099.8 = 8483.4ft²

= 8483ft² (to the nearest ft²)

Answer:

38.60 mph

Step-by-step explanation:

Average speed = total distance / total time

44 mph = (70 mi + 60 mi) / t

t = 2.95 hr

The time spent during the first 70 miles is:

d = rt

70 mi = (50 mph) t

t = 1.4 hr

So the time spent during the last 60 miles is:

t = 2.95 hr − 1.4 hr

t = 1.55 hr

So the average speed during the last 60 miles is:

d = rt

60 mi = r (1.55 hr)

r = 38.60 mph

Answer:

216 cm³

Step-by-step explanation:

The volume of a cube is denoted by V = s³, where s is the side length.

Here, the side length is 6 centimetres, so plug this into the formula to find V:

V = s³

V = 6³ = 6 * 6 * 6 = 216

The answer is thus 216 cm³.

~ an aesthetics lover

Answer:

216

Step-by-step explanation:

6³ = 216

Answer:

(2n+1)(n+2)

Step-by-step explanation:

Use basic factor pairs, then figure out the two 2s in the factor pairs add with the one to be five. Then just make the answer above.

Answer:

1/90 = 1.11%

Step-by-step explanation:

We have that the number of ways of total selections and assignments possible is a permutation.

We know that permutations are defined like this:

nPr = n! / (n-r)!

In our case n = 10 and r = 2, replacing:

10P2 = 10! / (10 - 2)! = 10! / 8!

10P2 = 90

In addition to this, there will only be one way to randomly select the two members currently holding the positions of President and Vice President and reassign them to their current positions. Thus,

Probability would come being the following:

P = 1/90 = 1.11%

Answer:

a) 32

b) none?

c) C & F

D) 9/5, 32?

Step-by-step explanation:

Answer:

x has no real solution

Step-by-step explanation:

Our equation is qudratic equation so the method we will follow to solve it is using the dicriminant :

Answer:

Step-by-step explanation:

Given the polynomial function (8x² - 4x-8)(2x²+3x+2). To take the product of both quadratic polynomial, we will need to simply open up the bracket as shown;

= 8x²(2x²+3x+2) - 4x(2x²+3x+2) - 8(2x²+3x+2)

= (16x⁴+24x³+16x²) -(8x³+12x²+8x)-(16x²+24x+16)

Open up the parenthesis

= 16x⁴+24x³+16x² - 8x³-12x²-8x- 16x²-24x-16

Collect the like terms

= 16x⁴+24x³- 8x³+16x² - 16x²-8x-24x-16

= 16x⁴+16x³-32x-16

Answer:

The area of triangle = 12,960

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

Given,

Base= 12 cm

Height= 5 cm

Formula to find area of triangle:

[tex] \frac{1}{2} \times base \times height[/tex]

Now,

Area of triangle:

[tex] \frac{1}{2} \times 12 \times 5 \\ = \frac{1}{2} \times 60 \\ = 30 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:30 cm^2

Step-by-step explanation:

Answer:

The answer to the best prediction is 115.04

Step-by-step explanation:

We have to:

x = 102

They also tell us that:

y = 5.9 + 1.07 * x

If we replace we have:

y = 5.9 + 1.07 * (102)

y = 115.04

Therefore, the best predicted value of ModifyingAbove and with caret given that the older child has an IQ of 102 is 115.04