Question #1
Correct answer is E,
show steps

Step-by-step explanation:

This assembly required more than 40 missions. A partnership between European countries (represented by ESA), the United States (NASA), Japan (JAXA), Canada (CSA) and Russia (Roscosmos), the International Space Station is the world's largest international cooperative programme in science and technology.

Answer:

the answer is option D csa nasa esa and roscosmos

Answer:

Step-by-step explanation:

4). Given functions are,

   [tex]f(x)=\frac{1}{3x}[/tex]

   For [tex]x=\frac{1}{12}[/tex]

   [tex]f(\frac{1}{12})=\frac{1}{3(\frac{1}{12})}[/tex]

             [tex]=\frac{1}{\frac{1}{4}}[/tex]

             [tex]=1\times\frac{4}{1}[/tex]

             [tex]=4[/tex]

   [tex]g(x)=\frac{1}{x^2}[/tex]

   For [tex]x=\frac{1}{5}[/tex],

   [tex]g(\frac{1}{5})=\frac{1}{(\frac{1}{5})^2}[/tex]

           [tex]=\frac{1}{\frac{1}{25}}[/tex]

           [tex]=25[/tex]

  [tex]f(\frac{1}{12})-g(\frac{1}{5})=4-25[/tex]

                       [tex]=-21[/tex]

5). f(x) = -2x² + 3x - 8

    f(k + 4) = -2(k + 4)² + 3(k + 4) - 8

                = -2(k² + 8k + 16) + 3(k + 4) - 8

                = -2k² - 16k - 32 + 3k + 12 - 8

                = -2k² - 13k - 28

Answer:

If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212 , i.e. 4096 number of possible sequences of heads & tails.

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical

probability of landing on heads on the next flip?

well it would be 8 and 13

Answer: B

Not 100% sure but my best guess is B.

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  28,728.15 g

Step-by-step explanation:

(11.5 gal) × (3.785 L/gal) × (1000 mL/L) × (0.66 g/mL) = 28,728.15 g

_____

That's 28,700 g rounded to 3 significant figures.

Answer:

44

Step-by-step explanation:

axb=56

56-c=44

Answer:

A. She will have $2 left over

Step-by-step explanation:

I know this because 3 yards of fabric cost $18 dollars so there would be $2 left

Answer:

Actually, all of them!

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

y=3.5x+9

and

y=x

9514 1404 393

Answer:

  C.  (-1, 2) and (4, 7)

Step-by-step explanation:

It may be simplest just to try the answer choices.

We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.

__

The second equation can be written in vertex form as ...

  y = (x -1)^2 -2

This equation is not satisfied by the points of choice B.

  Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.

However it is a good match for the points of choice C.

  Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True

The appropriate choice is ...

  (-1, 2) and (4, 7)

Answer:

≠

Step-by-step explanation:

Sorry I just need 20 Characters

Answer:

≠

Step-by-step explanation:

Because 3/8 is 0.375, 8/15 is 0.53( with the 3 repeated). The decimal values aren't the same so the answer is that these 2 fractions are not equivalent.

Answer:

(-4, 16)

Step-by-step explanation:

Answer:

[tex]f + e + d = 360^o[/tex]

Step-by-step explanation:

The question is incomplete, as what is required is not stated and the triangle is not given.

So, I will solve generally.

The proof is as follows (see attachment for triangle)

From the attachment, we have:

[tex]a + f = 180[/tex]

[tex]b + e = 180[/tex]

[tex]c + d = 180[/tex]

Make f, e and d the subject

[tex]f = 180 - a[/tex]

[tex]e = 180 - b[/tex]

[tex]d = 180 - c[/tex]

Add up the equations

[tex]f + e + d = 180 -a + 180 - b + 180- c[/tex]

Collect like terms

[tex]f + e + d = 180 + 180+ 180-a- b - c[/tex]

[tex]f + e + d = 540-a- b - c[/tex]

We have:

[tex]f + e + d = 540-(a+ b + c)[/tex]

[tex]a + b + c \to 180[/tex] --- angles in a triangle

So, we have:

[tex]f + e + d = 540-180[/tex]

[tex]f + e + d = 360^o[/tex] --- proved

Answer:

area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for  volume for any regular geometrical figure is.

volume = area of cross section of object*  height of object (A)

In the problem stated area of cross section of object will be  area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively.

Answer:

189 components must be sampled.

Step-by-step explanation:

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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

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

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that [tex]\sigma = 16[/tex]

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

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

[tex]3 = 2.575\frac{16}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 2.575*16[/tex]

[tex]\sqrt{n} = \frac{2.575*16}{3}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*16}{3})^2[/tex]

[tex]n = 188.6[/tex]

Rounding up:

189 components must be sampled.

Answer:

C. 7

Step-by-step explanation:

8/4 =2

2^3 is 8

4+8=12

12-5=7

Hope this helps!

Answer:

28÷g

Step-by-step explanation:

simple division between g and 28

Answer:

Round to one decimal place: x=78.4ft

Step-by-step explanation:

I searched it up : )

Answer:

the second angle

sorry if wrong

Step-by-step explanation:

The expected value for the number of siblings of a randomly chosen student is 1.11.

"In a probability distribution, the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value".

For the given situation,

The table shows the probability distribution of siblings of students in a high school with 1500 students.

For number of siblings = 0, Probability = 0.18.

For number of siblings = 1, Probability = 0.65.

For number of siblings = 2, Probability = 0.09.

For number of siblings = 3, Probability = 0.05.

For number of siblings = 4, Probability = 0.02.

For number of siblings = 5, Probability = 0.01.

The formula for expected value mean, E(x) = ΣxP(x)

[tex]E(x)=(0)(0.18)+(1)(0.65)+(2)(0.09)+(3)(0.05)+(4)(0.02)+(5)(0.01)[/tex]

⇒ [tex]E(x)=1.11[/tex]

Hence we can conclude that the expected value for the number of siblings of a randomly chosen student is 1.11.

Learn more about expected value here

https://brainly.com/question/24015851

#SPJ2

Answer:

Gretchen charges $12 dollars per hour

Step-by-step explanation:

$18/1.5=$12

Answer:

Jenny's room

Step-by-step explanation:

13x12 = 156 and 14x11 = 154

Therefore Jenny's room is bigger.

Answer:

84 m²

Step-by-step explanation:

A= h(a+b)/2 = 7(8+16)/2 = 84

Factorise:- d² + 14d + 40

[tex] \rightarrow [/tex] d² + 10d + 4d + 40 = 0

[tex] \rightarrow [/tex] d(d + 10) + 4(d + 10) = 0

[tex] \rightarrow [/tex] (d + 10)(d + 4) = 0

[tex] \therefore [/tex] Either, d + 10 = 0 => d = -10 and d + 4 = 0 => d = -4

Answer:

Box 1 = -2 and Box 2=+1.......

Answer:

-2.5 if you have to write as a decimal and not a fraction.