if the perimeter of a square is 236 inches, how long is each side?

Answer:

B

Step-by-step explanation:

this is true because if you rotate 180 degrees on a graph both the x and y will always become their opposite.

Answer:

Mathematical  200

reasonable 0,200

Step-by-step explanation:

i got it right on the test

Answer:

0.6915

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

[tex]\mu = 88, \sigma = 4[/ex]

What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG?

This is 1 subtracted by the pvalue of Z when X = 86. So

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

[tex]Z = \frac{86 - 88}{4}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.3085

1 - 0.3085 = 0.6915

The answer is 0.6915

Answer:

$1.98/ lbs

Step-by-step explanation:

To find the unit cost, take the total cost and divide the the number of units purchased

$9.90/5 lbs

$1.98/ lbs

Answer:

see below

Step-by-step explanation:

x-1>2

Add 1 to each side

x-1+1>2+1

x >3

There would be an open circle at 3 and a line to the right

It is appropriate to use the correlation coefficient to describe the strength of the relationship between "Time" and "Fish Quality" in this study. The correlation coefficient measures the strength and direction of the linear relationship between two variables.

It is appropriate to use the correlation coefficient to describe the strength of the relationship between "Time" and "Fish Quality" in this study. The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, "Time" and "Fish Quality" are both continuous variables, and a scatterplot can be used to visually represent their relationship.

In the scatterplot, if the data points form a clear pattern or trend, it suggests a strong relationship between the variables. The correlation coefficient quantifies this relationship, ranging from -1 (perfect negative relationship) to 1 (perfect positive relationship), with 0 indicating no linear relationship. By calculating the correlation coefficient, we can determine the strength and direction of the relationship between "Time" and "Fish Quality" in the study.

Keywords: correlation coefficient, relationship, variables, scatterplot, strength, direction, linear, continuous

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Answer:

2.2

Step-by-step explanation:

It would take 15840 min to eat all of them that means 264 hours or 11 days

lol why you need this info?

Answer:

[tex]P(X<72)=P(\frac{X-\mu}{\sigma}<\frac{72-\mu}{\sigma})=P(Z<\frac{72-80}{5})=P(z<-1.6)[/tex]

And we can find this probability with the normal standard distirbution or excel and we got:

[tex]P(z<-1.6)=0.055[/tex]

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(80,5)[/tex]  

Where [tex]\mu=80[/tex] and [tex]\sigma=5[/tex]

We are interested on this probability

[tex]P(X<72)[/tex]

And the best way to solve this problem is using the normal standard distribution and the z score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

If we apply this formula to our probability we got this:

[tex]P(X<72)=P(\frac{X-\mu}{\sigma}<\frac{72-\mu}{\sigma})=P(Z<\frac{72-80}{5})=P(z<-1.6)[/tex]

And we can find this probability with the normal standard distirbution or excel and we got:

[tex]P(z<-1.6)=0.055[/tex]

Answer:

75.36

Step-by-step explanation:

To find the diameter, take the radius and multiply it by two, or use the diameter, and then multiply by pi. The formula, in this case, would be pi x 24. I hope this helps. I used 3.14, the shorter version, but a more precise answer would be 75.3982236862, or 75.4 rounded.

Answer:

25/36

Step-by-step explanation:

P(1) = 1/6

P'(1) = 5/6

5/6 * 5/6 = 25/36

Answer:

24

Step-by-step explanation:

Answer:  (a). Passwords = 48620250

               (b). Passwords = 3111696000

Step-by-step explanation:

The question reads that 'A certain organization recommends the use of passwords with the following format':

Consonant, Vowel, Consonant, Consonant, Vowel, Consonant, Number, Number (for example, pinray45​).

The number of consonants is 21, the number of vowels is 5 and the numbers are 10 (0 to 9).

Since, there are 21 consonants and 5 vowels and repetition is allowed.

Use the general multiplication rule for each characters in the sequence.

Multiply by 21 consonants, 5 for vowels and 10 for numbers.

Assuming that the passwords are not case sensitive.

i.e. upper case & lower case letters are same.

Thus, the number of possible passwords is:

Passwords = Consonant * Vowel * Consonant * Consonant * Vowel * Consonant * Number * Number

Passwords = 5 x 21 x 21 x 21 x 5 x21 x 10 = 48620250

(b). Assuming that the passwords are case sensitive

Passwords = 10 x 42 x 42 x 42 x 10 x 42 x 10 = 42 x 420³ = 3111696000

cheers i hope this helps!!!!

The total number of possible passwords is 95,887,125,000.

To calculate the number of possible passwords, we need to consider the number of choices for each position in the password. In the given format, we have 5 positions for consonants, 2 positions for vowels, and 1 position for a number. Let's break it down:

For the 1st consonant position, we have 21 choices (since there are 21 consonants).

For the 1st vowel position, we have 5 choices (since there are 5 vowels).

For the 2nd consonant position, we have 21 choices.

For the 2nd vowel position, we have 5 choices.

For the 3rd consonant position, we have 21 choices.

For the number position, we have 10 choices (since there are 10 numbers).

For the 4th consonant position, we have 21 choices.

For the 3rd vowel position, we have 5 choices.

For the 5th consonant position, we have 21 choices.

Finally, for the last consonant and the last vowel positions, we have 21 and 5 choices respectively.

To find the total number of possible passwords, we multiply the number of choices for each position:

Total number of passwords = 21 * 5 * 21 * 5 * 21 * 10 * 21 * 5 * 21 * 5 = 95,887,125,000.

Answer:

$800  [((1.005)18 - 1)/.005]

$800 x [(1.0939 - 1)/.005]

$800 x (0.0939/0.005)

$800 x 18.785

~ $15,028

The savings plan is 15,028.

Step-by-step explanation:

The savings plan balance on the account after 18 months is $3651.46.

Basically, the savings plan balance means the total amount of money saved and accumulated in a designated account or investment over a period of time.

The savings plan balance will be found using annuity formula [tex]P * [(1 + r)^n - 1] / r[/tex]

Data:

The plan balance will be:

= 200 * [(1 + 0.00166667)^18 - 1] / 0.00166667

= 200 * 18.2572814188

= 3651.45628376

= 3651.46.

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Answer:36.36feet (that rounded but if you want you can round it to 36.4

Step-by-step explanation:

Final answer:

The problem involves using the Pythagorean theorem to find the length of a kite string given the horizontal and vertical distance, which would be the square root of the sum of the squares of 19 feet and 31 feet.

Explanation:

The student's question concerns the length of the string used to fly a kite when given the horizontal distance and the vertical distance from the ground to the kite. To solve this, we apply the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this problem, the kite string functions as the hypotenuse, the horizontal distance to the kite is one leg, and the vertical distance from the ground to the kite is the other leg.

For Mike's kite:

According to the Pythagorean theorem:

[tex]\( c^2 = a^2 + b^2 \\( c^2 = 19^2 + 31^2 \\( c^2 = 361 + 961 \\( c^2 = 1322 \\( c = \\( c \\) = \\( c \\) = \\) is the length of the kite string[/tex].

Therefore, Mike's kite string is approximately \\( c \\) long.

Answer:

The answer is C. x=In(5/3)-2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Look at the attached picture⤴

Hope it will help uh...:)

Answer:

Mean: 57.667

Median: 59

Mode: 83

Range: 71

Explanation

Mean = sum of values / number of values

Median = middle number

Mode = number that occurs most often

Range = largest number minus smallest number

Answer:

  16

Step-by-step explanation:

You want the mean of {20, 15, 19, 16, 10}.

The mean is the sum of the numbers, divided by the number of numbers.

  (20 +15 +19 +16 +10)/5 = 80/5 = 16

The mean is 16.

Final answer:

The mean of tickets sold by Helena for the Willowbrook School play is calculated by adding the total tickets sold (80) and dividing by the number of homerooms (5), resulting in a mean of 16 tickets.

Explanation:

To calculate the mean of tickets sold for the Willowbrook School play, we need to add up the number of tickets sold in each homeroom and then divide by the number of homerooms. The data given is:

Adding these together, we get 20 + 15 + 19 + 16 + 10 = 80 tickets sold in total. As there are 5 sets of data, we divide the total by 5 to find the mean.

Therefore, the mean number of tickets sold is 16 tickets.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 82

For the alternative hypothesis,

µ ≠ 82

This is a 2 tailed test

Since the sample mean and sample standard deviation is given, the t test would be used to determine the test statistic. The formula is

t = (x - µ)/(s/√n)

Where

x = sample mean = 87

µ = population mean = 82

s = samples standard deviation = 10

n = 25

t = (87 - 82)/(10/√25) = 2.5

α = 1 - Confidence level

α = 1 - 0.95 = 0.05

Since α = 0.05, the critical value is determined from the t distribution table.

For the left, α/2 = 0.05/2 = 0.025

For the right of 0.025 = 1 - 0.025 = 0.975

To determine the t score from the t distribution table, we would find the degree of freedom, df and look for the corresponding α value.

df = n - 1 = 25 - 1 = 24

t score = critical value = ±2.064

In order to reject the null hypothesis, the test statistic must be smaller than - 2.5 or greater than 2.5

Since - 2.064 > - 2.5 and 2.064 < 2.5, we would fail to reject the null hypothesis.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

Margin of error = z × s/√n

Where

s = sample standard deviation

z = t score

Margin of error = 2.064 × 10/√25

= 4.13

Confidence interval = 87 ± 4.13

the lower limit of this confidence interval is

87 - 4.13 = 82.87

the upper limit of this confidence interval is

87 + 4.13 = 91.13

The volume of the sphere Y is 27 times the volume of the sphere X

Step-by-step explanation:

Sphere X:

Radius of sphere X = 3 inches

Volume = (4/3) π(27)

Sphere Y:

Radius of sphere Y = 9 inches

Volume = (4/3) π(729)

Volume of sphere Y /volume of sphere X = (4/3) π(729) /(4/3) π(27)

= (729) /(27)

= 27

The volume of the sphere Y is 27 times the volume of the sphere X

Answer:

Part A: The null hypothesis failed to be rejected.

Part B: The null hypothesis failed to be rejected.

Step-by-step explanation:

We have an hypothesis test with null and alternative hypothesis H0: p = 0.5 versus Ha: p > 0.5, which has the test statistic z=1.15.

Part A: If the significance level is 0.05, the conclusion depends on the P-value.

If the P-value is below 5%, the null hypothesis is rejected.

The P-value for this right-tailed tes and z=1.15 is:

[tex]P-value=P(z>1.15)=0.125[/tex]

The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.

Part B: In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.

This changes the way we calculate the P-value, as we need to compute the two tails.

The P-value is:

[tex]P-value=2P(z>1.15)=0.25[/tex]

The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.

Null hypothesis of a sample suggest that there is no statistical relationship exists in a set of provided single observed variable. The null hypothesis is failed to be rejected for both part A and part B of the question.

Using the hypothesis test we have,

[tex]H_o; p=0.5[/tex]

[tex]H_ap>0.5[/tex]

[tex]z=1.15[/tex]

Null hypothesis of a sample suggest that there is no statistical relationship exists in a set of provided single observed variable.

Part A: The conclusion to draw at the 5% significance level-

In the right tailed test or upper test the p value for the z score can be given form z table which is,

p-value[tex]=0.125[/tex]

Here the p value 0.125 is bigger than the significance level 0.05. Thus the effect is not significant and the null hypothesis is failed to be rejected.

Part B: If the alternative hypothesis is Ha: p ≠ 0.5, the conclusion to draw at the 5% significance level-

Here for the unequal sign 2-test is performed. The p value for the 2-test is,

p- value[tex]=0.25[/tex]

Here the p value 0.25 is bigger than the significance level 0.05. Thus the effect is not significant and the null hypothesis is failed to be rejected.

Hence, the null hypothesis is failed to be rejected for both part A and part B of the question.

For more about the null hypothesis, follow the link below-

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Answer:

111

Step-by-step explanation:

-The occupancy rate index is calculated using the following formula:

[tex]Index=\frac{Hotel \ OCC}{Competitive \ OCC}\times 100[/tex]

-The Hotel OCC is the property's occupancy rate given as 85%

-The Competitive OCC, is the competitive set's occupancy rate calculated as;

[tex]Occupancy \ Rate=\frac{Room \ Sold}{Rooms \ Available}\\\\\\=\frac{115000}{150000}\\\\=76.67\%[/tex]

-We then substitute to solve for the occupancy rate index:

[tex]Index=\frac{Hotel \ OCC}{Competitive \ OCC}\times 100\\\\=\frac{0.85}{0.7767}\times 100\\\\=110.86\\\approx 111[/tex]

Hence, the occupancy rate index is 111

The question is asking to find an equation of how many customers the waiter served.

Given: 12 customers at lunch; 5 per hour for dinner

Find: number of customers served at lunch AND dinner

We use variables for this, x and y. A general equation is usually y=ax+b, where y is the solution, x is the variable, and a and b are numbers.

Knowing this information, since it is already given that 12 customers were served, the equation turns into y=ax+12

Additionally, since we don't know how many hours she worked, we can use that as a variable. y=5x+12

x=how many hours the waiter worked at dinner

y=overall hours the waiter worked at both lunch and dinner

slope=5, means customers are going up 5 every hour

y-intercept=12, the given/starting point on the y-axis

Answer: 283cm

Step-by-step explanation:

Answer:

A. The statement that the random variable X is normally distributed with parameters is often abbreviated.

Step-by-step explanation:

The X is normally distributed with parameters u and  is often distributed as X ≈N (u 2 ). The correct answer is a. The statement that the random variable is normally distributed.

Answer:

48

Step-by-step explanation:

32+16=48

48-16=32

Answer:

48

Step-by-step explanation:

add 32 and 16 to get 48

The best prediction for selecting a blue marble 60 times, with replacement, from a bag of 4 blue marbles and 3 white marbles is approximately 34.29 times.

To predict the number of times you will select a blue or purple marble, we need to know the total number of marbles, the number of blue marbles, the number of purple marbles, and the number of trials (which is 60 in this case). Since no information about purple marbles is provided, let's assume you meant blue marbles only for this explanation. In the scenario presented in the question, the probability of drawing a blue marble is 4/7 each time since there are 4 blue marbles and 3 white marbles, totaling 7 marbles.

Therefore, the best prediction for the number of times a blue marble will be selected is approximately 34.29 times (which you might round to 34 times).

Answer:

Part A) [tex]QR=2\sqrt{5}\ units[/tex]

Part B) [tex]PR=2\sqrt{13}\ units[/tex]

Step-by-step explanation:

The complete question in English is

Observe the isosceles PQRS trapeze in the Cartesian plane.

A) How long is the QR side?

B) What is the distance between points P and R?

The picture of the question in the attached figure

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

Part  A) How long is the QR side?

we have the coordinates

Q(7,6) and R(9,2)

substitute in the formula

[tex]d=\sqrt{(2-6)^{2}+(9-7)^{2}}[/tex]

[tex]d=\sqrt{(-4)^{2}+(2)^{2}}[/tex]

[tex]d_Q_R=\sqrt{20}\ units[/tex]

simplify

[tex]d_Q_R=2\sqrt{5}\ units[/tex]

Part B) What is the distance between points P and R?

we have the coordinates

P(3,6) and R(9,2)

substitute in the formula

[tex]d=\sqrt{(2-6)^{2}+(9-3)^{2}}[/tex]

[tex]d=\sqrt{(-4)^{2}+(6)^{2}}[/tex]

[tex]d_P_R=\sqrt{52}\ units[/tex]

simplify

[tex]d_P_R=2\sqrt{13}\ units[/tex]

Answer:

x = 7

Step-by-step explanation:

[tex]m\overset{\frown} {PQ} = m\overset{\frown} {MN}... (given) \\

\therefore Chord \:PQ \cong Chord\: MN\\

\therefore \: 4x + 10 = 38 \\ \therefore \: 4x= 38 - 10\\ \therefore \: 4x= 28\\ \therefore \: x= \frac{28}{4} \\ \huge \red{ \boxed{\therefore \: x= 7}}[/tex]

Answer:

Option C - Matched-Pairs t-test

Step-by-step explanation:

Looking at the options given,

-Two-Sample t-test for means is used to test the difference (d0) between two population means. A common application is to determine whether the means are equal. This can't apply to the question as it determine if this treatment was effective.

- Two-Sample z-test for means is used to test the null hypothesis that there is no difference between the means of two independent populations. This doesn't determine if this treatment was effective

-Matched-Pairs t-test is used to test whether there is a significant mean difference between two sets of paired data. This will be sufficient to determine if this treatment was effective

-Two-Sample z-test for proportions is used when we want to know whether two populations or groups (e.g., males and females; theists and atheists) differ significantly on some single (categorical) characteristic - for example, whether they are vegetarians. This can't be used to determine if this treatment was effective

The only correct option is Matched-Pairs t-test

To evaluate the effectiveness of Omega-3 tablets for lowering cholesterol, a Matched-Pairs t-test should be used, as it compares the cholesterol levels before and after treatment in the same individuals.

To determine the effectiveness of taking Omega-3 tablets to lower a person's cholesterol, one should use a statistical hypothesis test that compares two related samples. In this case, the comparison is between cholesterol levels before and after the 6-week course. Since the same individuals are tested twice, the appropriate test is the Matched-Pairs t-test (also known as the paired sample t-test or dependent sample t-test). This test is utilized when you have two sets of related data and want to assess if their means differ. The differences between each pair will follow a normal distribution if certain conditions are met, which is assumed in a matched-pairs t-test.

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