If it rains ​tomorrow, the probability is 0.6 that John will practice his cello. If it does not rain ​tomorrow, there is only a 0.4 chance that John will practice. Suppose the chance of rain tomorrow is 70​%.
What is the probability that John will practice his cello​?

Answer:

-∞ < x < ∞

Set of all integers

Step-by-step explanation:

Given in the question two functions

f(x) = [tex]x^{\frac{1}{3} }[/tex]  = ∛x

g(x) = 3x + 1

(f*g)(x)

f(g(x))

∛(3x+1)

Domain of (f*g)(x)

In function ∛(3x+1) , variable x can be any integer.

so, the domain is set of all integers

-∞ < x < ∞

Answer:may be crazy but its 300.

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Area is multiplying the numbers together basically. 100*30=300.

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

The ways we can get "1 counter to be white out of 2 draws" is:

1. If 1st one taken out is white and next one different color, and

2. If 2nd one taken out is white and 1st one different color

In probability, AND means MULTIPLY and OR means ADD

Here, we are actually looking for ways of 1st one white, next one different OR first one different and next one white. Let's find them separately.

1. If 1st one taken out is white and next one different color

there are 6 white and 10 total, so 1st one white is 6/10

not replaced, so now there are 9 total and 4 of them are different,so different probabililty is 4/9

We multiply these two to get:  6/10 * 4/9 = 4/15

2. If 2nd one taken out is white and 1st one different color

probabilty 1st one different color is 4/10 since 4 are different and we have total of 10

since not replaced, now we have 9 total and still 6 white.

probability of white in 2nd draw is 6/9

We multiply these two to get:  4/10 * 6/9 = 4/15

Now we add these 2 as stated earlier, so 4/15 + 4/ 15 = 8/15

Answer:

Step-by-step explanation:

Cross multiply [tex]\frac{3}{4} = \frac{9}{x}[/tex].

3x = 4 * 9

3x = 36

Divide both sides by 3.

[tex]\frac{3x}{3} =\frac{36}{3}[/tex]

x = 12

Answer:

C

Step-by-step explanation:

Substitute n = 8 into the explicit rule

[tex]a_{8}[/tex] = - [tex]\frac{1}{125}[/tex] × [tex]5^{7}[/tex]

                        = - [tex]\frac{1}{5^{3} }[/tex] × [tex]5^{7}[/tex]

                       = - [tex]5^{4}[/tex] = - 625 → C

Answer:

4x^2

Step-by-step explanation:

hope this helps :)

Answer:

ITS CCCCCCCCCCC (4x^2)

Answer: 1.8 centimeters hope this helps i really need brainlist :)

Answer: answer is 1.8cm

Step-by-step explanation: take 18 and add a decimal in front then move it back 1

The answer is 37.6991 i hope i answered your question

Answer:

By 0.75

Step-by-step explanation:

From the stem-and-leaf plot you can find James's scores:

79, 81, 83, 83, 83, 85, 85, 88, 94, 99.

The mode is 83 (most often score). If he drops his scores from the first two weeks, his mode score increases by 2. This means that the mode became 85 and the data looks like

79, 81, 83, 85, 85, 88, 94, 99.

Now find two means.

1. The old mean:

[tex]\dfrac{79+81+83+83+83+85+85+88+94+99}{10}=\dfrac{860}{10}=86;[/tex]

2. The new mean:

[tex]\dfrac{79+81+83+85+85+88+94+99}{8}=\dfrac{694}{8}=86.75;[/tex]

Thus, the mean will increase by 0.75.

Answer:

not one of those two...

Step-by-step explanation:

are there other options? when graphed on desmos it looks like this...

The graph of the given function f(x) = x² + 2x + 3 is attached with the answer. It is not from the given two options.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation is quadratic f(x) = x² + 2x + 3 so the curve on the graph will be parabolic.

When we put the different values of x in the input function f(x) the output function varies in the form of the parabolic curve the equation is quadratic so it will give two solutions which cut the axis at the points ( 0,3) you can see in the attached graph.

I have attached the correct graph showing the given quadratic equation with the answer below.

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Answer:

Step-by-step explanation:

If RSTU ≅ XWZY, then RS = XW, RU = XY, ST = WZ and TU = ZY.

RU = 2cm. Therefore XY = 2cm.

Alright, so it would be -2 since on a coordinate grid you have the x and y axis. The slope of the line that passes through (-2, 2) and (-4, -2) would be -2.

I hope this helps!~ c:

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)

m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=676\pi \end{cases}\implies 676\pi =\pi r^2\implies \cfrac{676\pi }{\pi }=r^2 \\\\\\ 676=r^2\implies \sqrt{676}=r\implies 26=r~\hspace{10em}\stackrel{\textit{diameter = 2r}}{52}[/tex]

ANSWER

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

[tex](x - y) ^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5} [/tex]

We now put y=5 into the expansion to get,

[tex](x - 5) ^{5} = {x}^{5} - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2}) - 10 {x}^{2} ({5})^{3} + 5x( {5})^{4} - {5}^{5} [/tex]

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

Answer:

(x - 5)^5 = x^5 - 25x^4 + 250x³ - 1250x² + 3125x - 3125

Step-by-step explanation:

The explanation in the attached file

Answer:

[tex]3x^2 - 15x + 21\\or\,\,3(x^2 -5x +7)[/tex]

Step-by-step explanation:

First we will find sum of [tex](-9x^2-10x)\,\, and\,\, (3x^2+3x+7)[/tex]

Adding the like terms:

[tex]= -9x^2-10x + 3x^2 +3x+7\\= -9x^2+ 3x^2 -10x+3x+7\\= -6x^2 - 7x +7[/tex]

Now subtract (-9x^2+8x-14) from (-6x^2 - 7x +7)

[tex]=(-6x^2 - 7x +7) - (-9x^2+8x-14)\\= -6x^2 - 7x +7 +9x^2-8x+14\\= -6x^2 +9x^2 - 7x -8x+7 +14\\= 3x^2 - 15x + 21\\=3(x^2 -5x +7)[/tex]

Answer:

60

Step-by-step explanation:

Population size : 11

To calculate inter-quartile range

Step 1

1, 5 , 12 ,14 , 29 , 45 , 48, 61 , 72 , 84 , 96

Step 2

medium = 45

Step 3

Q1

1 , 5 , 12 ,14 , 29

median = 12

Q3

48 , 61 , 72 , 84 , 96

median = 72

Step 4

IQ = Q3 - Q1

    = 72 - 12

    = 60

Answer: 60

Step-by-step explanation: Apex said so

Answer:

-1.1+0.4i

Step-by-step explanation:

Multiply the numerator and the denominator by [tex]4+2i:[/tex]

[tex]\dfrac{-8+6i}{4-2i}\cdot \dfrac{4+2i}{4+2i}=\dfrac{-32-16i+24i+12i^2}{4^2-(2i)^2}\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\\ \\=\dfrac{-32+8i-12}{16-4i^2}\ \ [\text{remember }i^2=-1]\\ \\=\dfrac{-44+8i}{16+4}\\ \\=\dfrac{-44+8i}{20}\\ \\=-\dfrac{11}{10}+\dfrac{4}{10}i\\ \\=-1.1+0.4i[/tex]

Answer:

−11

5

+

2

5

i

Step-by-step explanation:

Answer:

4/663

Step-by-step explanation:

There are four queens.  The probability that the first card is a queen is 4/52.

There are four kings.  There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.

Therefore, the probability that the first card is a queen AND the second card is a king is:

P = 4/52 × 4/51

P = 4/663

The probability of drawing a queen first and a king second from a standard deck without replacement is 1/663.

The student is asking about the probability of drawing two specific cards from a standard deck of 52 cards. To calculate this probability, we need to consider the sequence of events without replacement. For the first card to be a queen, the probability P(A) is 4/52 because there are 4 queens in a deck of 52 cards. After drawing a queen, there are now 51 cards left in the deck. The chance that the second card is a king, P(B), is then 4/51, as there are still 4 kings but only 51 cards remaining.

The two events are dependent since the outcome of the first draw influences the second. Therefore, the combined probability of both events occurring is found by multiplying the probabilities of each event:

P(A and B) = P(A) × P(B) = (4/52) × (4/51)

This gives us P(A and B) = 1/13 × 1/51, which simplifies to 1/663.

Answer:

(9 * 140) / 15

Step-by-step explanation:

For each serving it is 140 calories, and there is 9 servings in that cereal. So you want to multiply 9 by 140. And there are 15 ounces in the box so the amount of total calories are to be divided by 15. Thus C should be the right answer.

Answer:8048ft

Step-by-step explanation: A=2(wl+hl+hw) so 2(34*114)+(1*114)+(1*34)=8048

It’s hard to help, since there’s no picture :/

Let's solve for x.

2x−9y=14

Step 1: Add 9y to both sides.

2x−9y+9y=14+9y

2x=9y+14

Step 2: Divide both sides by 2.

2x /2

= 9y+14 /2

x= 9 /2 y+7

We need to solve for x.

2x - 9y = 14

Move the 9y to the right side and use inverse operations.

2x = 14 + 9y

Divide both sides of the equation by 2.

x = 7 + 9/2y or x = 7 + 4.5y

I will attach a picture of the graph as well in case that’s what you were looking for.

P(B|A): P(A and B) / P(A)

P(A and B): P(A)•P(B) so 0.9 • 0.6 = 0.54

P(A|B): 0.54 / 0.9 = 0.6

Answer: D) 0.6

The value of the conditional probability is given by Bayes theorem and the value of P ( A | B ) = 0.1333

The likelihood that an event will occur based on the likelihood that a comparable outcome will occur in the future. The theorem offers a method for updating existing predictions or hypotheses in light of fresh or updated data. This is known as conditional probability.

Bayes Theorem states that based on past knowledge of circumstances that could be relevant to the occurrence, the Bayes Theorem estimates the likelihood of an event.

And , P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

Given data ,

Let the conditional probability be represented as P

Now , the value of P ( A ) = 0.9

The value of P ( B ) = 0.6

The value of P ( B | A ) = 0.2

From the Bayes theorem , we get

P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

On simplifying , we get

P ( A | B ) = [ 0.2 x 0.6 ] / 0.9

P ( A | B ) = 0.12 / 0.9

P ( A | B ) = 0.1333

Hence , the Bayes theorem is solved

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Answer:

Step-by-step explanation:

you need more information bu the stem-leaf is meant to split the number

A is the correct answer

Answer:

Step-by-step explanation:

The experimental probability is defined as the ratio between the number of time certain events occurs and the total number of trials.

In this case, there are 10 coin tosses. Notice that there are only two events where the lose three times, that means the probability is

[tex]P=\frac{2}{10}=\frac{1}{5}[/tex]

Which means that in two cases out of ten the lose three games.

Therefore, the right answer is A.

Answer:

24,74

Step-by-step explanation:

the price with tax= 34 : 100 x 107= 36.38

( start price : 100% x 100% with the 7% tax)

now you can calculate the discount = 36.38 ; 100 x 68= 24.74

( start price : 100% x 68 because the full price is 100% but there goes 32 from off so 100-32 = 68)

A percentage is a way to describe a part of a whole. The final cost of the shirt is $24.74.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The original cost of the shirt is $34, now since a 32% discount is given the cost will be,

$34 - (32% of $34)

= $34 - $10.88

= $23.12

Further, 7% tax is paid on the cost of the shirt after the discount, therefore, the final cost will be,

Final cost = $23.12 + (7% of $23.12) = $24.74

Hence, the final cost of the shirt is $24.74.

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Answer:

Step-by-step explanation:

[tex]a(-1, -4)\\b(3, 5)\\a + b(2, 1)[/tex]

The sum of the vectors is (2,1)

A vector exists as an object that has both a magnitude and a direction. Geometrically, we can imagine a vector as a directed line segment, whose length exists the magnitude of the vector and with an arrow suggesting the direction. The direction of the vector exists from its tail to its head.

(-1,-4) + (3,5)

( -1+3 , -4+5 )

( 2,1)

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Answer:

this is no picture or any thing to help me to give you a answer

Step-by-step explanation:

Answer:

I am sorry but you don't have a picture.

Step-by-step explanation:

Answer:

The answer is A.

15 + 4 + 3 = 15 + 7

A. 3

First, simplify the equation. (x means the same thing as the symbol)

19 + x = 22

Subtract 19 from both sides of the equation.

x = 22 - 19

x = 3

There’s the answer!

Final answer:

To find the number of calories in one cup, we double the amount of calories in a 1/2 cup serving. In this case, 250 calories are in 1/2 cup, so 500 calories are in one full cup.

Explanation:

To calculate the number of calories in one cup based on the given nutrition label, we can use a simple multiplication. Given that 1/2 cup contains 250 calories, we just need to double this amount, because 1 cup is equivalent to two servings of 1/2 cup each.

The equation to find the calories in one cup is:

Calories per 1/2 cup × 2 = Calories per cup

Therefore, the calculation would be:

250 calories × 2 = 500 calories

So, one cup of the food item contains 500 calories.