Which of the following are like terms?
12x
A
-8
3x2
15x
-X
x

Answer:

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Step-by-step explanation:

Step(i):-

Given students created 19 clay objects, 12 of which were vases

probability of successes

                            [tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]

q  = 1 - p = 1 - 0.6315 = 0.3685

Step(ii):-

Given  n = 16

Let 'X' be the random variable in binomial distribution

[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]

The probability that exactly 11 of the chosen clay objects are vases

[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]

we will use formula

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]

[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]

[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]

P(X = 11 ) = 0.16472

Conclusion:-

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Answer:

A solution to the system is (–1, –2).

One of the equations is y = x –1.

One of the equations is 3x + y = –5.

Step-by-step explanation:

Just took the assignment

Answer:

2, 4, and 5

Step-by-step explanation:

Got it right

Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

Answer:

The answer is (3, 18)

Step-by-step explanation:

This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees

Answer:

y = 3/2x - 4

Step-by-step explanation:

Slope-intercept form is y = mx + b

When we count rise over run, we get 3/2

y = 3/2x + b

The line intersects the y-axis at -4

y = 3/2x - 4

I hope this helps :))

Answer:

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If |Z| > 2, the measure X is significent.

In this question:

[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]

So

[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Answer: £225

Step-by-step explanation:

Amount shared = £750

Let Sarah's share = y

Therefore,

Caroline's share = 3y

Bridget's share = 2(3y) = 6y

Mathematically,

y + 3y + 6y = £750

10y = £750

y = £750/10

y = £75

Caroline's share = 3y

Caroline's share = 3 × £75 = £225

Caroline's share is £225

Answer:

y = x + 15

Step-by-step explanation:

You swim 15 minutes more than a friend.The friend swims x minutes.

The amount of time you swim is 15 more than x.

Your time is y

Therefore y = x + 15 would be the equation.

Answer;

Explanation:

CHECK THE COMPLETE QUESTION BELOW:

chemist is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas. Explain these observations.

ideal gas reffered to as one that has the collisions between its atoms or molecules perfectly eleastic and in which there are no intermolecular attractive forces existing between them. The ideal gas concept is important because it obeys the ideal gas law.

Which is PV=nRT

Where P is the pressure

T is the Temperature

V is the Volume

R is ideal gas constant

n is amount of substance

The ideal gas model assumes that gas particles experience no intermolecular attractions. These are the behavior of gases under different condition

✓At low temperature, gas particles move slowly.

-✓At high pressures, gas particles are very close together.

✓ When the particles of gases are close they have low speed and their low speed allow intermolecular forces to become important at high pressure and low temperature.

OBSERVATION S:

At room temperature which is comfortable ambient temperature, generally taken as about 20°C to 25C

Gases behave non ideally at cold temperatures, So when the gas is cooled to 10Kelvin, molecules are moving relatively slowly past one another, then they give room for the repulsive and/or attractive forces between their molecules giving room for deviation from an Ideal Gas.

The intermolecular forces cause the gas to deviate from ideal behavior So, the reason why a gas deviate from ideal behaviour may be due to some two assumptions of kinetic theory of gases. The forces of attraction between gas molecules are negligible. When the gas is placed under high pressure the gas molecules get more crowded and the amount of empty space between the molecules is reduced.

--

Answer:

Ideal gas explains the property of gas that has no inter-molecular attractions irrespective of temperature and pressure.

Explanation:

Ideal gases assumes that the gases would experience no inter-molecular attraction and collision with other gases.

These gases are perfectly exhibiting elastic collision in nature.

The particle of gases moves slowly at lower temperature and the gases would become close when they exhibit high pressure.

The "closeness of the gas-particle" and "low-speed characteristics" are the important observations noted.

The inter-molecular forces deviate the property of gases from ideal gas behavior.

Step-by-step explanation:

Answer:

−x+y=8

there you go!

Hope it helps!

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".

Step-by-step explanation:

To find the r (rate) of each series, we can divide one term by the term before:

Series A: 4 / 10 = 2/5

Series B: (3/5) / (1/5) = 3

So the series A has an r value between 0 and 1, so we can find the sum of the series.

The sum is given by the formula:

Sum = a1 / (1 - r)

Where a1 is the first term. So we have that:

Sum = 10 / (1 - (2/5))

Sum = 10 / (3/5)

Sum = 10 * (5/3) = 50/3

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

Steps:

Since there are no like terms. We have to convert the number that is  x2 + y2 + 4x - 14y + 37  into standard form. The correct answer will be NaN X 10°

So that is in a standard form.

Answer: NaN X 10

Please mark brainliest

Hope this helps.

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]

Now, you can proceed:

[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]

Answer:

A. is the correct answer

Step-by-step explanation:

the answer is 27

Answer:

A. 25

Step-by-step explanation:

f(x)= 8x - 7

f(4)= 8*4 - 7= 25

f(4)= 25

Answer:

No

Step-by-step explanation:

No real number when multiplied with zero makes one.

Answer:

Zero has no reciprocal

Step-by-step explanation:

The reciprocal of a number is what you get when you flip the numerator and the denominator of a number. For instance, with the number 5, it can be rewritten as 5/1. The reciprocal of this would therefore be 1/5. For 0, it can also be rewritten as 0/1. However, if you take the reciprocal of this, you get 1/0, which is undefined. Therefore, zero has no reciprocal. Hope this helps!

Answer:

4

lolz sorry for a late answer bud

Step-by-step explanation:

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

the function of quadratic is number4

Answer:

you cant answer it you have no choice to pick cuz you didnt put dem

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

Answer:

1.75 rad

Step-by-step explanation:

° × π/180 = rad

100° × π=314.16

314.16/180=1.75 rad

Answer:

Step-by-step explanation:

What we do is to divide 1500 by 4 = $1500/4 = $375

Answer:375

Step-by-step explanation:

1500/4=375

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (a, b) and r = m , thus

(x - a)² + (y - b)² = m² ← in standard form

Expand the factors using FOIL and rearrange

x² - 2ax + a² + y² - 2by + b² = m² ( subtract m² from both sides )

x² + y² - 2ax - 2by + (a² + b² - m² ) = 0 ← in general form → A

Answer:

It's option A for plato

Step-by-step explanation:

A.  x^2 + y^2 − 2ax − 2by + (a^2 + b^2 − m^2) = 0

Answer: 336 papers

Step-by-step explanation:

A week except Sunday = 6 days

56 newspapers * 6 days = 336 newspapers in all

Answer:

336

Step-by-step explanation:

Given That:

Days : 7 - 1 = 6

Number of papers per day : 56

SO,

all papers: 56 x 6 = 336

Hope this helps.

Answer:

Step-by-step explanation:

2(n-2) = n-38

Answer:

Step-by-step explanation:

This is easy, just multiply 3.8 by 7.

3.8 x 7 = 26.6

I'm always happy to help :)