Hey Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3*(3*8)

A. (3*3)*8+8
B. 3*(3*8)+5
C. 5+3*(24)
D. 3*(8*3)+5

Answer:

the answer is 6x

Step-by-step explanation:

Step-by-step explanation:

cos(3x) − 3 cos x = cos(2x) + 1

Use triple and double angle formulas.

(4 cos³x − 3 cos x) − 3 cos x = (2 cos²x − 1) + 1

Simplify.

4 cos³x − 6 cos x = 2 cos²x

4 cos³x − 2 cos²x − 6 cos x = 0

2 cos³x − cos²x − 3 cos x = 0

Factor.

cos x (2 cos²x − cos x − 3) = 0

cos x (cos x + 1) (2 cos x − 3) = 0

Solve.

cos x = 0 → x = 90°, 270°

cos x + 1 = 0 → x = 180°

2 cos x − 3 = 0 → no solution

Answer:

(b)Categorical Data

Step-by-step explanation:

The response, frequency, and calculation of the relative frequency of the data is given in the table below.

[tex]\left|\begin{array}{c|c|c}$Response&$Frequency &$Relative Frequency\\---&----&---\\$Below Average& 7&\dfrac{7}{15} \times 100 \approx 47\% \\&&\\$Average&5&\dfrac{5}{15} \times 100 \approx 33\%\\&&\\$Above Average&3&\dfrac{3}{15} \times 100 =20\%\\---&---&---\\$Total&15&100\end{array}\right|[/tex]

(b)

A quick way to determine if a data is categorical or numerical is to determine if the mean of the data can be found.

In this case, we cannot determine the mean of the data, therefore, it is a categorical data.

Answer:

The first answer.

Step-by-step explanation:

The first answer.

What was the temperature of the air?

'was 2C warmer than the surface of the ice'

warmer than= +2c

Temp. of ice=-2c

-2c+2c=0

Answer:

Option 1

Step-by-step explanation:

The temp. was -2 degrees celsius.

The temp. got 2 degrees celsius warmer.

-2 + 2 = 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

Answer:

The ACT score gt 17.0 is relatively better than the SAT score of 1490 a relatively better then the SAT score of 1490 .

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.

A. The ACT score gt 17.0 is relatively better than the SAT score of 1490 a relatively better then the SAT score of 1490.

We find the z-score for each of these options. Whichever has the higher z-score is the better grade.

ACT:

Mean 21.1, standard deviation of 4.8. Score of 17. So [tex]\mu = 21.1, \sigma = 4.8, X = 17[/tex]

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

[tex]Z = \frac{17 - 21.1}{4.8}[/tex]

[tex]Z = -0.85[/tex]

SAT:

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Score of 1490. So [tex]\mu = 1518, \sigma = 325, X = 1490[/tex]

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

[tex]Z = \frac{1490 - 1518}{325}[/tex]

[tex]Z = -0.09[/tex]

The SAT score of 1490 has the higher z-score, so this is the better score, which means that this statement is false and A. is the answer of this question.

B. An SAT score of 1490 has a z-score of -0.09

From A., this is true

C. The SAT score of 1490 is relatively better than the ACT score of 17.0.

From A., this is true.

What is your question?

Answer:

yeah what's your question?

Answer:

1. the red balloon

2.they both ascended at the same rate

Step-by-step explanation:

Answer:

1.red

acended

Step-by

Answer:

THE CURVED ONE

Step-by-step explanation:

THE OTHER ONES R STRAIGHT LINES

THE ONE ON THE TOP  RIGHT CORNER IS A PARABOLA

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                    ✌ -ZYLYNN JADE ARDENNE

20%

Here's a tip: Always start percentage calculating with dividing the current number by 10.

Simple interest formula = I = PRT where I = interest, P = principal, r = interest rate and t = time.

i = 806.20, p = 14,000 t = 250 days.

Change t to be fraction of a full year: t = 250/365

Now solve for r:

806.20 = 14000 x r x 250/365

Simplify :

806.20 = r x 9589.04

Divide both sides by 9589.04:

r = 806.20 / 9589.04

r = 0.08407

Multiply by 100 to get percent:

r = 8.41% (rounded to nearest hundredth)

Answer:

C. Approaches 35

Step-by-step explanation:

If we graph the expression, we see that we have an asymptote at y = 35.

Answer:

Option 2

Step-by-step explanation:

The average temperature in January is -1 degrees celsius. Last year, it was 1 degrees celsius higher than the average.

-1 + 1 = 0

Answer:

The second answer.

Step-by-step explanation:

The average temp. is -1C.

'was 1C warmer' = +1

-1+1=0

Answer:

In a function that is represented by Y=mx+b b would be the y-intercept

Definition of y-intercept. : the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

Answer:

She forgot to combine the 2 negative signs and turn it into a positive.

Step-by-step explanation:

When you subtract a negative, you are adding the number. So if we have 3.5 - (-4.1), it would equal 3.5 + 4.1, which is 7.6

Answer:

She subtracted a negative incorrectly by simply subtracting a positive when subtracting a negative means to add a positive.

Step-by-step explanation:

She subtracted 3.5 - 4.1 which is -0.6

The problem is subtracting -4.1 which means to add 4.1

3.5 - (-4.1) = 3.5 + 4.1 = 7.6

She did: 3.5 - (-4.1) = 3.5 - 4.1 = -0.6 which is incorrect.

Answer:

a) Calculate the probability that at least one of them suffers from arachnophobia.

x = number of students suffering from arachnophobia

= P(x ≥ 1)

= 1 - P(x = 0)

= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰ ]

= 1 - (0.95)¹¹

= 0.4311999 = 0.4312

b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666

=  P(x = 2)

=  (¹¹₂) x (0.05)² x (0.95)⁹

where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55

= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867

c) Calculate the probability that at most 1 of them suffers from arachnophobia?

P(x ≤ 1)

= P(x = 0) + P(x = 1)    

= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]

= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981

Answer:

x=1

Step-by-step explanation:

Since the two triangles are similar you want to look at what two dimensions have x included and if they are similar. Both have the same angles and on the bottom they both have x.

In order to figure out the value you need to compare them:

3x + 1 = 4x

1 = 4x-3x

1 = x

x = 1

Answer:

it would be 3/5*4/1

Step-by-step explanation:

To divide you multiply the first number by the reciprocal of the second number. Check and you'll see that the answer is the same. Hope this helps!

Answer:

The answer is 3/5 x 4/1

Step-by-step explanation:

Answer: True

Step-by-step explanation: Taking the triangle from the left and moving it to the right creates a rectangle. From there just do 12.8×4.5.

Answer:

C. Critical values: r = +0.396

Step-by-step explanation:

Hello!

A linear correlation for two variables X₁ and X₂ was calculated.

For a sample n= 25 the sample correlation coefficient is r= 0.767.

Be the hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

α: 0.05

For this hypothesis test, the rejection region is two-tailed, and the degrees of freedom are Df= n-2= 25-2= 23

So using the Pearson product-moment correlation coefficient table of critical values, under the entry for "two tailed tests" you have to cross the level of significance and the degrees of freedom to find the corresponding critical value:

[tex]r_{n-2;\alpha }= r_{23;0.05}= 0.396[/tex]

Since the calculated correlation coefficient is greater than the critical value, you can reject the null hypothesis, this means that the correlation is significant at level 5%

I hope this helps!

Answer:

Step-by-step explanation:

Given That:

Let A = {the first board is green} and B = {the second board is green}.

A lumber company has just taken delivery on a shipment of 10,000 2×4 boards.

Suppose that 10% of these boards (1000) are actually too green to be used in first-quality construction. Two boards are selected at random, one after the other.

We are to compute the following probabilities :

P(A)

P(B)

P(A ∩ B)

To start with the probability P(A)

[tex]P(A) = \dfrac{1000}{10000}[/tex]

P(A) = 0.1

[tex]P(B) = P(B|A)*P(A)+P(B|A')*P(A')[/tex]

where;

[tex]P(B|A) = \dfrac{N(B|A)}{N-1}[/tex]

[tex]P(B|A) = \dfrac{999}{9999}[/tex]

[tex]P(B|A) =0.0999[/tex]

[tex]P(B|A') = \dfrac{N(B|A')}{N-1}[/tex]

[tex]P(B|A') = \dfrac{1000}{999}[/tex]

[tex]P(B|A') = 0.10[/tex]

Recall that :

[tex]P(B) = P(B|A)*P(A)+P(B|A')*P(A')[/tex]

[tex]P(B) = 0.0999*0.1+0.10*(1-0.1)[/tex]

[tex]P(B) = 0.00999+0.10*(0.9)[/tex]

[tex]P(B) = 0.00999+0.09[/tex]

[tex]P(B) = 0.0999[/tex]

P(A ∩ B) = P(B|A)B

P(A ∩ B) = 0.0999 × 0.10

P(A ∩ B) = 0.00999

(b)

Given that A and B are independent; Then:

P(A ∩ B) = P(A) × P(B)

0.00999 = 0.1 × 0.09999

0.00999 =  0.00999

As such A and B are independent

However; when P(A ∩ B) = P(A) = P(B) = 0.1

P(A ∩ B) = P(A) × P(B)

P(A ∩ B) = 0.1 × 0.1

P(A ∩ B) =  0.01

Answer:

For Ganymede, it is 148,000,000,000,000,000,000,000

and for Pandora, it is 22,000,000,000,000,000,000

Step-by-step explanation:

the e means to have the number after it be an exponent, and the e meaning 10. so their exuations would be:

1.48*10^23

1.48*1,000,000,000,000,000,000,000,000

2.20*10^17

2.20*1,000,000,000,000,000,000

I hope this is helpful.

Weight of Ganymede in kilograms is 148,000,000,000,000,000,000,000 kg and for Pandora  22,000,000,000,000,000,000 kg



The e means to have the number after it be an exponent, and the e meaning 10. so their exuations would be:



1.48*10^23



1.48*1,000,000,000,000,000,000,000,000



2.20*10^17



2.20*1,000,000,000,000,000,000



Learn more about unit conversion here:brainly.com/question/141163



#SPJ2



Answer:

Step-by-step explanation:

The question is incomplete. Find the complete question in the attached file.

a) Given the expression 9x^2 - y^2 = 1

Differentiating implicitly will give;

[tex]18x-2y\frac{dy}{dx} = 0\\[/tex]

We can then make dy/dx the subject of the formula as shown;

[tex]18x = 2y\frac{dy}{dx}\\\frac{dy}{dx} = \frac{18x}{2y} \\\frac{dy}{dx} = \frac{9x}{y} \\y' = \frac{9x}{y}[/tex]

b) In order to solve the question explicitly, we will first have to make x the subject of the formula before differentiating.

[tex]9x^{2} -y^{2} = 1\\9x^{2} = 1+ y^{2}\\y^{2} =9x^{2}- 1\\y^{2} = 9x^{2} - 1\\y = \sqrt{9x^{2}- 1 } \\[/tex]

Using chain rule to solve the equation;

let;

[tex]u = 9x^{2} -1\\ y = u^{1/2}[/tex]  

du/dx = 18x

dy/du = [tex]1/2u^{-1/2}[/tex]

dy/dx = dy/du * du/dx

dy/dx = [tex]1/2u^{-1/2} * 18x[/tex]

[tex]\frac{dy}{dx} = \frac{1}{2}({9x^{2}-1 } )^{-1/2} * 18x\\\frac{dy}{dx} = 9x({9x^{2} -1 } )^{-1/2} \\\frac{dy}{dx} = 9 x(\sqrt{{\frac{1}{9x^{2} -1} } }) \\\frac{dy}{dx} = \frac{9x}{\sqrt{9x^{2}-1 } }[/tex]

c) In order to confrim that solutions to part (a) and (b) are consistent, we will substitute [tex]y = \sqrt{9x^{2} - 1 } \\[/tex] into the answer in (a) as shown;

From (a) [tex]\frac{dy}{dx} = \frac{9x}{y} \\[/tex]

[tex]y' = \frac{9x}{ \sqrt{9x^{2} - 1 } \\} } \\}[/tex]

This shows that they are consistent

Answer:

  people who prefer rock or rap

Step-by-step explanation:

We assume that "silence" is a type of music that is not in this universe. Hence the complement of set A is ...

  people who prefer rock or rap

Answer:

9 mile trip

Step-by-step explanation:

$15 + $15 = $30

$15 + $9 = $24

$15 + $25 = $40

$15 + $12 = $27

$30 > $25

$24 < $25

$40 > $25

$27 > $25

Answer:

[tex]x=38.5^\circ[/tex]

Step-by-step explanation:

Given that the left angle = [tex](3x-3)^\circ[/tex]

The right angle across from it [tex]= 6(x-10)^\circ[/tex]

The other two angles are x and x.

We know that the sum of angles at a point equals 360 degrees.

Therefore,

[tex](3x-3)^\circ+6(x-10)^\circ+x+x=360^\circ\\3x-3+6x-60+2x=360\\11x-63=360\\11x=360+63\\11x=423\\x=38.5^\circ[/tex]

The value of x is approximately 38.5 degrees.

Answer:

ok I am tellin6 to you

Step-by-step explanation:

ok I will tell to you