Which statement is true about figures ABC D & ABCD

Answer:

1rst way they give is CORRECT WAY

The rest of the options are the INCORRECT WAY.

Step-by-step explanation:

When you do 620*7 + 6 = 4376 is the answer you get.

When you do the other math - you do not get the same initial value.

Answer:

  b ≈ 101.52

Step-by-step explanation:

Given two sides and the angle between, the Law of Cosines is useful.

  b^2 = a^2 +c^2 -2ac·cos(B)

  b^2 = 105^2 +9^2 -2·105·9·cos(65°) ≈ 10307.251

  b ≈ √10307.251

  b ≈ 101.52

Answer:

B. 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

You know that the empty barrel is 1/4 of the full barrel. Find 1/4 of 20 to get 0.25 x 20 = 5

Answer:

C. 0.0009

Step-by-step explanation:

0.09/100

= 0.0009

Answer:A

Step-by-step explanation:0.09=0.9

Answer:

0.8413

Step-by-step explanation:

Find the z score.

z = (x − μ) / σ

z = (992 − 999) / 7

z = -1

Use a chart or calculator to find the probability.

P(Z > -1)

= 1 − P(Z < -1)

= 1 − 0.1587

= 0.8413

The required probability that a bottle has a volume greater than 992 mL is 0.84134. Option C is correct

Given that,
A bottler of drinking water fills plastic bottles with a mean volume of 999 milliliters (ml) and a standard deviation of 7 ml. The fill volumes are normally distributed. What is the probability that a bottle has a volume greater than 992 mL, is to be determined

Probability can be defined as the ratio of favorable outcomes to the total number of events.

We use Z-statistic to find out the probability,

z = (x − μ) / σ

x = raw score = 992 mL
μ = population mean = 999 mL
σ = standard deviation
z = [992 − 999]/7
z = -1

P-value from Z-Table:

P(x<992) = 0.15866

P(x>992) = 1 - P(x<992) = 0.84134

Thus, the required probability that a bottle has a volume greater than 992 mL is 0.84134

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

Length of Shortest Side = 12 inches

Step-by-step explanation:

Length of Shortest Side = L = 3x

Length of Longest Side = W = 5x-4

Condition:

2L+2W = Perimeter

2(3x)+2(5x-4) = 56

6x+10x-8 = 56

16x-8 = 56

Adding 8 to both sides

16x = 56+8

16x = 64

Dividing both sides by 14

=> x = 4

Now,

Length of the Shortest Side = L = 3(4) = 12 inches

Length of the Longest Side = W = 5(4)-4 = 16 inches

Answer:

12 inches

Step-by-step explanation:

The length is the longest side.

The width is the shortest side.

Length : [tex]l=5x-4[/tex]

Width : [tex]w=3x[/tex]

Apply formula for the perimeter of a rectangle.

[tex]P=2l+2w[/tex]

[tex]P=perimeter\\l=length\\w=width[/tex]

Plug in the values.

[tex]56=2(5x-4)+2(3x)[/tex]

[tex]56=10x-8+6x[/tex]

[tex]56=16x-8[/tex]

[tex]64=16x[/tex]

[tex]4=x[/tex]

The shortest side is the width.

[tex]w=3x[/tex]

Plug in the value for x.

[tex]w=3(4)[/tex]

[tex]w=12[/tex]

Answer:

second option

Step-by-step explanation:

x / x - 1 + 3x / x + 2

= x(x + 2) / (x - 1)(x + 2) + 3x(x - 1) / (x - 1)(x + 2)

= (x² + 2x) / (x² + x - 2) + (3x² - 3x) / (x² + x - 2)

= (4x² - x) / (x² + x - 2)

Answer:

At 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Step-by-step explanation:

                              Model A              Model B

Sample Size              50                          55

Sample Mean  x`         32                           35

Sample Variance  s²    9                            10

At 95 % confidence limits are given by

x1`-x2` ± 1.96 [tex]\sqrt{\frac{s^{2} }{n1} +\frac{s^{2}}{n2} }[/tex]

Putting the values

32-35  ± 1.96  [tex]\sqrt\frac{9}{50}+\frac{10}{55}[/tex]        ( the variance is the square of  standard deviation)

-3 ± 1.96 [tex]\sqrt{ \frac{495+500}{2750}[/tex]

-3 ± 1.96( 0.6015)

-3 ± 1.17896

-1.8210; 4.1789

Thus the 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789.

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Answer:

12345824.4

Step-by-step explanation:

I'm not really sure. I just did 1240x637x15.63=12345824.4

answer:

53,445.1 gallons of water

Step-by-step explanation:

im not exactly sure but i looked up how to calculate gallons in a container and the website i went to told me to measure the interior length, width, and height which was already done, then it told me to multiply the length by width by height to get the volume of the container then it told me to divide the volume by 231 to get the number of gallons in the container, so 1,240* 637= 789,880* 15.63= 12,345,824.4÷231= 53,445.127272727272727272727272727 which rounded to the nearest tenth is 53,445.1, i honestly hope that this is right and that it helps

Answer:

The answer is B.

Step-by-step explanation:

You have to substitute x = 2, into the equation of y :

[tex]y = 6 {x}^{3} - 5 {x}^{2} + 4x - 3[/tex]

[tex]let \: x = 2[/tex]

[tex]y = 6 {( 2)}^{3} - 5 {(2)}^{2} + 4(2) - 3[/tex]

[tex]y = 48 - 20 + 8 - 3[/tex]

[tex]y = 33[/tex]

Answer:

25

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2

We know the two legs and want to find the hypotenuse

15^2+ 20 ^2 = c^2

225 + 400 = c^2

625 = c^2

Taking the square root of each side

sqrt(625) = c^2

25 = c

Answer:

Angle 2= 45

Angle 3= 45

Angle 4= 135

Angle 5= 135

Angle 6= 45

Angle 7= 45

Angle 8= 135

Answer:

1800

Step-by-step explanation:

Hello,

First of all we need to find the prime factorisation of the numbers.

18 = 2 * 3 * 3

40 = 2 * 2 * 2 * 5

75 = 3 * 5 * 5

It means that the LCM should have 5 * 5 , 2 * 2 * 2 and 3 * 3

Then LCM = 3 * 3 * 2 * 2 * 2 * 5 * 5 = 1800

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

1800

Step-by-step explanation:

→ First of all we need to find the prime factorisation of the numbers.

18 = 2 × 3 × 3 or 2 × 3²

40 = 2 × 2 × 2 × 5 or 2³ × 5

75 = 3 × 5 × 5 or 5² × 3

→ Now find the number that appear twice or more and write them down

3 and 3 from 18

2, 2 and 2 from 40

5 and 5 from 75

→ Now multiply all of these numbers together

3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800

Answer:

The answer is

Step-by-step explanation:

(4k – 4) + ( –9k – 5)

Remove the bracket and simplify

That's

4k - 4 + - 9k - 5

4k - 4 - 9k - 5

Group like terms

4k - 9k - 4 - 5

We have the final answer as

- 5k - 9

Hope this helps you

We can use FOIL to solve:

(4k - 4) + (-9k - 5)

(4k * -9k) + (4k * -5) + (-4 * -9k) + (-4 * -5)

-36k - 20k + 36k + 20

-20k + 20

Best of Luck!

Answer:

21.5%

Step-by-step explanation:

51 divided by 237 to get percentage (237*.215% = 51)

Answer:

[tex]\Large \boxed{\sf \ \ 7 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

[tex]x^3-5x^2-12x+14[/tex]

The rational root theorem states that each rational solution

   [tex]x=\dfrac{p}{q}[/tex]    

, written in irreducible fraction, satisfies the two following:

   p is a factor of the constant term

   q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

   1

   2

   7

   14

and we need to test for negative ones too

   -1

   -2

   -7

   -14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

the answer is C.) 7

Answer:

the answer is x = sqrt 48

Step-by-step explanation:

Answer:  8x³ + 12x² - 16x - 16

Step-by-step explanation:

  (4x² - 2x - 4)(2x + 4)

= (2x + 4)(4x² - 2x - 4)

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

=   8x³ - 4x² - 8x   +  16x² - 8x - 16

=   8x³ + (-4x² + 16x²) + (-8x - 8x) - 16

=   8x³ + 12x² - 16x - 16

sine(X) = opposite side / hypotenuse

sine(X) = (2√11) / (4√11)

sine(X) = (2/4)

sine(X) = 0.5

X = arcsine(0.5)

X = 30°  

Answer: m∠x = 30°

Step-by-step explanation:

In a right triangle, if the short side of the right angle is Half the length of the hypotenuse, the triangle has angles of 30°, 60° and 90°

∠x is the smallest one, so  m∠x = 30°

It is possible to figure the sine and get the angle from that, but in this case it might not be necessary.  ;-)

Answer:

120

Step-by-step explanation:

Answer: 120

Hope that helped!(:

For any isosceles right triangle (aka 45-45-90 triangle), the hypotenuse is always equal to sqrt(2) times the leg. If x is the leg and y is the hypotenuse, then

[tex]y = x*\sqrt{2}[/tex]

which solves to

[tex]x = \frac{y}{\sqrt{2}}[/tex]

from here we plug in the given hypotenuse y = 10 to get the final answer. Optionally we could rationalize the denominator, but your teacher has chosen not to.

Answer:b

On edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plug x as 2y-15 in the first equation and solve for y.

-5(2y-15)+4y=3

-10y+75+4y=3

-6y+75=3

-6y=-72

y=12

Plug y as 12 in the second equation and solve for x.

x=2(12)-15

x=24-15

x=9

Step-by-step explanation:

a) The Roughly shape of the probability model is bell shaped or symmetric

( normal )

(b) Roughly, guess the center (mean) of the probability model

The mean is 5/10 =0.5

Because the symmetric distribution mean is middle bar and here we see using histogram 5/10 is mean .

(c) Argue that 1.5 is a good guess for the standard deviation of the probability model.

Yes 1.5 is very good guess because then it follow normal distribution it is exactly correct .

Answer:

to be honest I'm not sure how to do this question plz answer my question plz

Step-by-step explanation:

to be honest I'm not sure how to do this question plz answer my question plz I'm so much home workout

Answer:

false

Step-by-step explanation:

When solving the distance formula it is the distance from one point to another. If you had a rectangle and used the distance formula from each point then you would have a perimeter

Answer:

90°

Step-by-step explanation:

Theres a right angke beside x

And Angles on a straight line = 180 so 180-90°= 90°

Answer:

90

Step-by-step explanation:

I looked it up on the internet

Answer:

Step-by-step explanation:

The vertices of the already rotated triangle are:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Answer:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Step-by-step explanation:

Answer:

The height of the elephant is [tex]\dfrac{15}{\sqrt3}\ ft[/tex].      

Step-by-step explanation:

It is given that,

Distance between a person and an elephant is 15 ft

The angle of elevation of the elephant is 30 degrees.

We need to find the height of the elephant. For this let us consider that height is h. So,

[tex]\tan\theta=\dfrac{P}{B}\\\\\tan(30)=\dfrac{h}{15}\\\\h=15\times \tan(30)\\\\h=\dfrac{15}{\sqrt3}\ ft[/tex]

So, the height of the elephant is [tex]\dfrac{15}{\sqrt3}\ ft[/tex].