Which solid has a greater volume?

Answer: [tex]3x^{-2.5}[/tex]

Step-by-step explanation:

Given

Expression is

[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]

Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]

Writing expression in the form of [tex]k\cdot x^n[/tex]

[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]

Answer:

32

Step-by-step explanation:

freedom and creative expression

The number 32 symbolizes freedom and creative expression. It is also a number that symbolizes teamwork, relationships, sensuality, optimism, curiosity. Number 32 people are tolerant, adventurous. and witty. They have a need to be spontaneous and free. They are interested in many things.

Answer:

C. make purchases

Step-by-step explanation:

took the test

Answer:

a

Step-by-step explanation:

The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.

Option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.

"A dot plot is used to represent any data in the form of dots or small circles. It is similar to a simplified histogram or a bar graph as the height of the bar formed with dots represents the numerical value of each variable. Dot plots are used to represent small amounts of data".

For the given situation,

A randomized study shows the comparison of two drugs that are designed to lower a person's triglyceride level.

Drug A decreased their triglyceride level by a mean of 69.

Drug B decreased their triglyceride level by a mean of 45.

Mean difference = [tex]69-45[/tex]

⇒ Mean difference = [tex]24[/tex]

The data are rerandomized and the difference in the means is shown in the dot plot.

In the dot plot, the difference in the means is rerandomized and is arranged between the range 6 to 22.

Hence we can conclude that option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.

Learn more about the dot plot here

https://brainly.com/question/23498615

#SPJ2

Answer:

A) 67.4 m

Step-by-step explanation:

Let "x" represent how many meters above the lake is the man

Reference angle = 32°

Opposite = x

Hypotenuse = 129.5 m

Apply ye trigonometric function SOH:

Sin 32° = Opp/Hyp

Son 32 = x/129.5

129.5 × sin 32° = x

x = 68.6245447

This is close to A) 67.4 m

Answer:

See below.

Step-by-step explanation:

These work just like ordinary algebraic expresssions, except you have to remember always:  i^2 = -1    i squared is negative one!

(4 - 3i)(4 + 3i)   "FOIL" the expression to get 16 - 3i + 3i - 9i^2.  But i^2 = -1, so this is the same as 16 - 3i + 3i + 9.  Combine like terms.

Ans. 25

(4 - 3i)(i)  Distribute the i to the two terms of the binomial.

4i - 3i^2 = 4i - 3(-1)

Ans. 4i + 3

(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)

Ans. 24i -18

(6i)(i) = 6i^2 = 6(-1)

Ans. -6

(-5)(4 + 3i) = -20 - 15i   That's it; there's no i^2 to deal with.

Ans. -20 - 15i

(-5)(i)   = -5i  Again, that's all there is to it.

Ans. -5i

Answer:

Cos(M)=35/37

Cos(N)=12/37

Sin(M)=12/37

Sin(N)=35/37

Tan(M)=12/35

Tan(N)=35/12

Answer:

Your expected gain is of $10.7.

Step-by-step explanation:

Expected earnings:

The expected earnings is each prize multiplied by it's probability of being earned.

So

5% probability of earning $25.

5*15% = 75% probability of earning $15.

20% probability of earning $1. So

0.05*25 + 0.75*15 + 0.2*1 = 12.7

Cost of token:

The token costs $2, which means that we subtract $2 from the expected earnings.

12.7 - 2 = 10.7

Your expected gain is of $10.7.

Answer:

a) The margin of error for the interval is of 11.35.

b) The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.539

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.539\frac{20}{\sqrt{20}} = 11.35[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the margin of error for the interval is of 11.35.

The lower end of the interval is the sample mean subtracted by M. So it is 310 - 11.35 = 298.65 millimeters.

The upper end of the interval is the sample mean added to M. So it is 310 + 11.35 = 321.35 millimeters.

The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.

Answer:

[tex]45\:\mathrm{in}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex]. Substituting given values, we have:

[tex]3,840=\frac{1}{3}\cdot 16^2\cdot h,\\h=\frac{3,840\cdot 3}{256}=\boxed{45}[/tex]

Answer:

30 in.

Step-by-step explanation:

[tex]h=3\frac{V}{a^{2} }[/tex]

[tex]h=3\frac{3840}{16^{2} }[/tex]

45.12

That is not an option, so go with the closest one 30 in.

Answer:

42. acute

43. obtuse

Step-by-step explanation:

Obtuse: which one of the interior angles measures more than 90° degrees, then the rest are less than ninety.

Acute: all less than ninety and all different.

Answer:

8 / 15

Step-by-step explanation:

Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Required outcome :

Even numbers = (2, 4, 6, 8, 10, 12, 14) or 13

Total required outcomes = 8

Probability = required outcome / Total possible outcomes

P(even number or 13) = 8 / 15

Answer: 1,000

Step-by-step explanation: if you multiply the 900 in 157,900 by a 1,000 you get the 900,000 in 901,532.

Answer:

412 yards each

Step-by-step explanation:

4,532/11=412

Answer:

i dont see the question?

Step-by-step explanation:

Answer:

49 is your answer :)

Step-by-step explanation:

Have a nice dayyy <3

Answer:

X= -4

Step-by-step explanation:

^ you have to isolate the radical than raise each side to the power of its index which gets you

x= -4

Answer: The sample space S for a probability model is the set of all possible outcomes. For example, suppose there are 5 marbles in a bowl. One is red, one is blue, one is yellow, one is green, and one is purple.

Step-by-step explanation: Hope this helped :)

Answer:

The answer is "between 60 and 96 jobs per day".

Step-by-step explanation:

In this solution, there is a mound-sized and symmetrical distribution for the number of works submitted to your computer per day with mean=78, and standard deviation=6.

Therefore a distribution of 95% decreases between the average [tex]\pm[/tex] 3* standard deviation

Therefore,

[tex]\to 78\pm (3*6)=(78-18, 78+18)=(60,96)[/tex]

The 95% distribution falls in between 60 and 96 jobs per day.

Answer:

16n + 7

Step-by-step explanation:

Answer:

7 + 16n

Step-by-step explanation:

The use of more than indicates addition.

Answer:

a = 3/4.

Step-by-step explanation:

2a/3 - 1/6 = 1/3

Multiply thru by the LCD 6:

4a - 1 = 2

4a = 3

a = 3/4.

Answer:

35000 Litre

Step-by-step explanation:

Recall:

1 hectoliter = 100 liter

Hence,

350 hectoliter = (100 * 350) = 35000 Litre

Question B. Isn't clearly stated

Answer:

[tex]-9\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-5\frac{3}{4}-3\frac{1}{2}[/tex]

Step 1: Factor out the common term [tex]-1[/tex]

[tex]=-\left(5\frac{3}{4}+3\frac{1}{2}\right)[/tex]

Step 2: Add the whole numbers

[tex]5 + 3 = 8[/tex]

Step 3: Combine the fractions:

[tex]\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)[/tex]

Step 4: Convert the improper fractions to mixed numbers

[tex]\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)[/tex]

Step 5: Add the numbers

[tex]8 + 1 =9 \\\\=-9\frac{1}{4}[/tex]

Therefore, the answer to the equation is [tex]-9\frac{1}{4}[/tex] in fraction, and decimal; [tex]9.25[/tex]

Answer:

8

Step-by-step explanation:

120/15

Answer:

[tex] \displaystyle x = \frac{3}{4} [/tex]

Step-by-step explanation:

we are given that

[tex] \displaystyle P = \left(x, - \frac{ \sqrt{7} }{4} \right)[/tex]

we want to figure out x

remember that,

In unit circle x coordinate is considered cos and y coordinate is considered sin

so in order to figure out x we should figure out the value of cos to do we can consider Pythagoras trig indentity

given by

[tex] \displaystyle \sin ^{2} ( \theta) + { \cos}^{2} ( \theta) = 1[/tex]

we are given sin=-√7/4 thus

substitute:

[tex] \displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1[/tex]

simplify square:

[tex] \displaystyle \frac{7}{16} + \cos ^{2} ( \theta) = 1[/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16} [/tex]

simplify Substraction:

[tex] \displaystyle \cos ^{2} ( \theta) = \frac{9}{16} [/tex]

square root both sides:

[tex] \displaystyle \cos ^{} ( \theta) = \pm\frac{3}{4} [/tex]

since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable

hence,

[tex] \displaystyle x = \frac{3}{4}[/tex]

Answer:

99.8% probability of at least one failure.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of success is 30%.

This means that [tex]p = 0.3[/tex]

Five trials:

This means that [tex]n = 5[/tex]

Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%.

Less than five sucesses, which is:

[tex]P(X < 5) = 1 - P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.002[/tex]

[tex]P(X < 5) = 1 - P(X = 5) = 1 - 0.002 = 0.998[/tex]

0.998*100% = 99.8%

99.8% probability of at least one failure.