a laptop is in the shape of a rectangular prism the laptop has a length of 30 cm and a width of 20 cm in a volume of 1800 cubic centmeters what is the height of the laptop?
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Answer:

5/11 x 3/4 is 15/44

Step-by-step explanation:

You're welcome :)

Answer:

B

Step-by-step explanation:

Answer:

Standard deviation = 0.59

Step-by-step explanation:

Given data → 5.6, 5.2, 4.6, 4.9, 5.7, 6.4

Mean of the given data = [tex]\frac{5.6+5.2+4.6+4.9+5.7+6.4}{6}[/tex]

                                       = 5.4

   Data (x)              (x - mean)            (x - mean)²

     5.6             5.6 - 5.4 = 0.2             (0.2)² = 0.04

     5.2             5.2 - 5.4 = -0.2            (-0.2)² = 0.04

     4.6             4.6 - 5.4 = -0.8            (-0.8)² = 0.64

     4.9             4.9 - 5.4 = -0.5            (-0.5)² = 0.25

     5.7             5.7 - 5.4 = -0.3             (-0.3)² = 0.09

     6.4             6.4 - 5.4 = 1                  (1)² = 1

  N = 6                                                [tex]\sum (x-mean)^2[/tex] = 2.06

Since, Standard deviation = [tex]\sqrt{\frac{\sum (x-mean)^2}{N}}[/tex]

                                           = [tex]\sqrt{\frac{2.06}{6} }[/tex]

                                           = 0.5859

                                           ≈ 0.59

9514 1404 393

Answer:

  (b)  10.5 in

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h . . . . . . for radius r and height h

Then the height is ...

  h = 3V/(πr²)

Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...

  h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in

The height of the cone is about 10.5 inches.

Answer:

x= - 8

Step-by-step explanation: Are you solving for X if so here is the answer

Boston has 211 days of sunshine and Colorado Springs has 253 days of sunshine.

Two or more expressions with an Equal sign is called as Equation.

Let us consider x to represent the number of days of sunshine in Boston.

We know that Colorado Springs has 1.2 times as many days of sunshine as Boston.

The total number of days of sunshine between the two cities is 464.

Set up an equation to solve x.

x + 1.2x = 464

Simplifying and solving for x, we get:

2.2x = 464

x = 211. So Boston has 211 days of sunshine.

The number of days of sunshine in Colorado Springs, we can multiply by 1.2:

1.2x = 1.2(211) = 253.2

So Colorado Springs has 253 days of sunshine.

Therefore, Boston has 211 days of sunshine and Colorado Springs has 253 days of sunshine.

To learn more on Equation:

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Answer:

i think 80

Step-by-step explanation:

Answer:

D, x = 16

Step-by-step explanation:

-12 = (-3/4) * x

Divide both sides by -3/4.

x = 16

I hope this helps! Feel free to ask any questions!

Answer:

The lower interval limit for our 95% confidence interval is of 0.0412.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

We have taken a random sample of 100 observations and observed 10 instances of the characteristic in question.

This means that [tex]n = 100, \pi = \frac{10}{100} = 0.1[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 1.96\sqrt{\frac{0.1*0.9}{100}} = 0.0412[/tex]

The lower interval limit for our 95% confidence interval is of 0.0412.

Answer:

a) Trials are independent, and there is a fixed number of trials, which means that the binomial probability distribution can be used.

b) 0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking

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.

a)

For each senior, there are only two possible outcomes. Either they disapprove daily pot smoking, or they do not. The seniors are selected at random, which means that the probability of one disapproving daily pot smoking is independent of other seniors, that is, the trials are independent. There is also a fixed number of trials.

b)

70% disapprove of daily pot smoking, according to a report in Parade, which means that [tex]p = 0.7[/tex]

12 seniors means that [tex]n = 12[/tex]

The probability is P(X = 1).

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

[tex]P(X = 1) = C_{12,1}.(0.7)^{1}.(0.3)^{11} = 0.000015[/tex]

0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking

Answer:

x=(-r-5)²

Step-by-step explanation:

Answe

Step-by-step explanation:

https://brainly.com/question/22473360?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

Answer:

Option C, [tex]y = -2x + 7[/tex]  

Step-by-step explanation:

1) Slope-intercept format is represented by the formula [tex]y = mx + b[/tex]. By looking at the options, we can see that all of them follow this format.  

So, first, we can identify which equations have a slope of -2 to narrow down our options. In slope-intercept form, the coefficient of the x-term, or [tex]m[/tex], represents the slope. So, this narrows the answer down to options b and c because they are the only ones that have [tex]m[/tex] as -2.  

2) Next, in order to find which equation is the right answer, we can substitute the x and y values of the given point (4, -1) into both equations, then simplify. Whichever equation results in a true statement must be the answer. Let's try option c first. Substitute 4 for x and -1 for y:

[tex]-1=4(-2)+7\\-1 = -8+7\\-1=-1[/tex]

-1 does equal -1, so this statement is true. Thus, option c must be the answer.

The equation of the straight line will be -

y = -2x + 7

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have an equation of the line that passes through the point (4,-1) and has a slope of -2.

Assume the equation of the line to be -

y = -2x + c

The line passes through the point (4,-1), so we can write -

-1 = -2 x 4 + c

-1 = -8 + c

c = -1 + 8

c = 7

Therefore, the equation of the straight line will be -

y = -2x + 7

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Answer:

[tex]Rate = 3[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Average rate of change over [tex]1 \le x \le 3[/tex]

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex][a,b] = [1,3][/tex]

[tex][f(a),f(b)] = [-2.4][/tex]

So, we have:

[tex]Rate = \frac{4 - (-2)}{3 - 1}[/tex]

[tex]Rate = \frac{6}{2}[/tex]

[tex]Rate = 3[/tex]

Answer:

D.The slope of the relationship between first floor square footage and price is more steep for homes near the beach than elsewhere in Tampa

Step-by-step explanation:

We can see from the output that was run in this regression that this variable has a positive coefficient. So the result is going to be interpreted to show an increase. Therefore d is the answer as it shows that these homes which are closer to the beach are steeper compared to those that are in other areas of tampa. It's necessary to always look out for the signs of the coefficient when interpreting a regression result

Answer:

4

Step-by-step explanation:

Answer:

13b

Step-by-step explanation:

Answer:

The correct Answer is B: 13B

Step-by-step explanation:

Have A Nice Day.

Answer:

a) 0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.

b) 0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.

c) 0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.

d) 0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.

Step-by-step explanation:

To solve this question, we use the binomial probability distribution, and also it's approximation to the normal distribution.

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.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

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.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

62% of owned dogs in the United States are spayed or neutered.

This means that [tex]p = 0.62[/tex]

48 owned dogs are randomly selected

This means that [tex]n = 48[/tex]

Mean and standard deviation, for the approximation:

[tex]\mu = E(x) = np = 48*0.62 = 29.76[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{48*0.62*0.38} = 3.36[/tex]

a. Exactly 30 of them are spayed or neutered.

This is P(X = 30), which is not necessary the use of the approximation.

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

[tex]P(X = 30) = C_{48,30}.(0.62)^{30}.(0.38)^{18} = 0.1180[/tex]

0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.

b. At most 33 of them are spayed or neutered.

Now we use the approximation. This is, using continuity correction, [tex]P(X \leq 33 + 0.5) = P(X \leq 33.5)[/tex], which is the pvalue of Z when X = 33.5. So

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

[tex]Z = \frac{33.5 - 29.76}{3.36}[/tex]

[tex]Z = 1.11[/tex]

[tex]Z = 1.11[/tex] has a pvalue of 0.8665

0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.

c. At least 31 of them are spayed or neutered.

Using continuity correction, this is [tex]P(X \geq 31 - 0.5) = P(X \geq 30.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 30.5. So

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

[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]

[tex]Z = 0.22[/tex]

[tex]Z = 0.22[/tex] has a pvalue of 0.5871

1 - 0.5871 = 0.4129

0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.

d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.

This is, using continuity correction, [tex]P(24 - 0.5 \leq X \leq 30 + 0.5) = P(23.5 \leq X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 23.5.

X = 30.5

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

[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]

[tex]Z = 0.22[/tex]

[tex]Z = 0.22[/tex] has a pvalue of 0.5871

X = 23.5

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

[tex]Z = \frac{23.5 - 29.76}{3.36}[/tex]

[tex]Z = -1.86[/tex]

[tex]Z = -1.86[/tex] has a pvalue of 0.0314

0.5871 - 0.0314 = 0.5557

0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.

Answer:

put the data in ascending order

not sure if it's correct

Answer:

y=4x=0

Step-by-step explanation:

0.75x=4.75x y = 4

0.75x=4.75x

Answer:

d.16​

Step-by-step explanation:

(2*8)=16

Use Pemdas;

Parenthesis

Exponents

Multiplication

Division

addison

Subtraction

Answer:

An method would be ASA

Step-by-step explanation:

Cuales son las fracciones impropias? Si nos demuestras, te podemos ayudar.

A. Standard form because there is only one digit in front of the decimal point.

Answer:

21

Step-by-step explanation:

Answer:

x>3

Step-by-step explanation:

Answer:

C. x>3 is the answer I believe

Answer:

38 miles per gallon

Step-by-step explanation:

465 miles / 12 gallons

38 miles / gallon