The mode of the following data is 5 ?
0, 2, 2, 5, 2, 5, 0

Anthony and Cleopatra were lying dead on the floor in a villa because they were fishes in the water bowl that might have fallen and broke down.

Since, there was a broken bowl nearby the dead bodies,

it seems like Anthony and Cleopatra were fishes who were in the water in the bowl that broke down.

Since the bowl in which the fishes were, broke down, the water of the bowl spilled and the fishes were no more in water due to which they died. This is the because there was no mark on their body and were neither poisoned.

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Answer:

C (8,6)    A (2,14)

Step-by-step explanation:

(2+m)/2 = 5

2(2+m)/2 = 5 x 2

2+m = 10

m = 10 - 2

m = 8

(-6+n)/2 = 0

2(-6+n)/2 = 2 x 0

-6 + n = 0

n = 6

(-8+x)/2 = -3

2(-8+x)/2 = -3 * 2

-8 + x = -6

x = -6 + 8

x = 2

(-2+y)/2 = 6

2(-2+y)/2 = 6 * 2

-2 + y = 12

y = 12 + 2

y = 14

When drawing 3 cards from a standard deck without replacement, there is approximately a 16.60% chance of drawing at least one 3 card.

The probability of drawing at least one 3 card from a standard deck of 52 cards without replacement can be calculated using the concept of complementary probability.

We can find the probability of not drawing any 3 cards and subtract it from 1 to get the probability of drawing at least one 3 card.

To find the probability of not drawing any 3 cards, we first determine the number of ways to choose 3 cards from the 52-card deck without replacement, which is denoted as C(52, 3) or "52 choose 3." This can be calculated as:

C(52, 3) = 52! / (3! * (52-3)!) = 22,100.

Now, let's determine the number of ways to choose 3 cards from the 49 non-3 cards in the deck, which is denoted as C(49, 3) or "49 choose 3." This can be calculated as:

C(49, 3) = 49! / (3! * (49-3)!) = 18,424.

Therefore, the probability of not drawing any 3 cards is given by:

P(not drawing any 3 cards) = C(49, 3) / C(52, 3) = 18,424 / 22,100 = 0.8340 (rounded to four decimal places).

Since we want the probability of drawing at least one 3 card, we can subtract the probability of not drawing any 3 cards from 1:

P(at least one 3 card) = 1 - P(not drawing any 3 cards) = 1 - 0.8340 = 0.1660 (rounded to four decimal places).

Therefore, the probability that at least one of the cards drawn is a 3 is approximately 0.1660 or 16.60%.

To summarize, when drawing 3 cards from a standard deck without replacement, there is approximately a 16.60% chance of drawing at least one 3 card.

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Answer:

25000(1-.14)^t

Step-by-step explanation:

it's just a simple decreasing equation it's your start number 1 minus your percentage because we're decreasing and to the power of t which equals time

The algebraic expression for the situation given that 32 divided by a number r can be represented as 32/r.

The expression 32/r represents a general form that can be used to evaluate the quotient obtained when 32 is divided by any non-zero real number r.

The phrase "32 divided by a number r" represents a mathematical situation in which 32 is divided by a variable r, which could be any non-zero real number.

To write an algebraic expression for this situation, we can use the division operator "/" or the fraction bar to indicate the division of 32 by r. Therefore, the algebraic expression for this situation is:

32/r

This expression indicates that 32 is being divided by a variable r. It can also be interpreted as "the quotient obtained when 32 is divided by r". This expression is a rational expression since it is a ratio of two integers or polynomials, where the denominator (r) cannot be equal to zero.

The value of the expression 32/r will depend on the value of the variable r. For example, if r = 4, then the expression 32/r will have a value of 8 since 32 divided by 4 is equal to 8.

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The probability that out of four residential fires who independently reported on a single day, two are in family homes, one is in an apartment, and one is in another type of dwelling is 0.0895 or 8.95%.

The multinomial distribution deals specifically with events that have multiple discrete outcomes. The multinomial distribution is not limited to events with only discrete outcomes.

We have given that

The National Fire Incident Reporting Service stated, among all residential fires.

Let consider the number of events ,

X₁---> fires residential who are in home

X₂--> fires residential who are in appartment

X₃--> fires residential who are in another type of dwelling

The probability of ae X₁ occured (p₁)

= 73% = 0.73

The probability of event X₂ occured (p₂) = 20% =0.20

The probability of event X₃ occurred (p₃) = 7% = 0.07

Four residential fires are independently reported on a single day.

we have to calculate probability that two are in family homes, one is in an apartment, and one is in another type of dwelling?

Now, Using the Multinomial distribution,

X₁= 2 , X₂= 1, X₃ = 1 and n = 4

P( X₁, X₂,-----,Xₙ ) =( n!/(X₁! X₂! ----Xₙ!) )( p₁ˣ₁ × p₂ˣ₂ × ----× pₙˣₙ)

P( 2,1,1) = 4!/2! 1! 1! ( 0.73² × 0.2× 0.07¹)

= 12 ( 0.014 × 0.5329)

= 0.0895272

Hence, the required probability is 0.089..

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Complete question:

The National Fire Incident Reporting Service stated that, among residential fires, 73% are in family homes, 20% are in apartments, and 7% are in other types of dwellings.

a) If four residential fires are independently reported on a single day, what is the probability that two are in family homes, one is in an apartment, and one is in another type of dwelling?

Answer:

29, 7

Step-by-step explanation:

Range is largest num - smallest num

33-26 = 7

Mode is most common number:

29

Answer:

(x+2)^2 - 6

Step-by-step explanation:

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Step-by-step explanation:

look at that nayaisamazing. GonnaCry

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

Answer:

Exactly one solution.

Step-by-step explanation:

When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.

Answer:

B

Step-by-step explanation:

23y+50+27y=50y+50

find your same like terms and solve

23y+27y+51y

51y+50=50y+50

51y +50y=50+50

you would be left with one solution

101y=100

Answer:     it does not depend on someone

Step-by-step explanation:

It does not need help from people, it can depend on nothing but itself.

Answer:

15 ounces

Step-by-step explanation:

Each box contains 4 toys; a 5-ounce truck and three bags of marbles. The bags of marbles are all identical. How much does each bag of marbles weigh?

We need the total weight of the box. This is not given in the question, hence:

Let us assume

The total weight of the = 50 ounces

A 5-ounce truck and three bags of marbles.

Let the weight of one bag of marble = x

Hence,

5 ounces +3x = 50 ounces

3x = 50 ounces - 5 ounces

3x = 45 ounces

x = 45 ounces/3

x = 15 ounces

Therefore, the weight of each bag of marble is 15 ounces

Answer:

B

Step-by-step explanation:

if you add 2 and 3 you get 5 then you would add 5 and 5 and get 10 then 10 and 7 to get 17

Answer:The answer is 17

Step-by-step explanation:

From the triangle, the values of a and b are 5.1 units and 4.4 units respectively

You should know that a triangle is a polygon with three sides, three vertices, three angles  whose sum of angles is 180⁰

Using the trig ratio of Cosine

CosY=Adjacent/Hypothenuse

cos31=w/6

Cross multiplying we have

6*cos31=w

w=5.1 units

Then to find b, note that /VW/=/VY/=5.1

<VYX=<VWX............... base angles of isosceles triangle  WVY

Using cosine again from trig.

Cos31=b/5.1

5.1*cos31=b

simplify to get b=4.4 units

Therefore b= 4.4 units  

a=90-31       (remaining 2 angles of a right angled triangle)

a=59⁰

In conclusion, the value of a=59⁰ and the value of b=4.4 units

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Jem dug 5.7 meters for the well, including an extra 1.2 meters until water flowed. The water depth is 2.3 meters, leaving the same 5.7 meters unfilled.



Jem initially dug 4.5 meters deep into the soil for the well. Then, he dug an additional 120 cm (or 1.2 meters) deeper until water started flowing. Therefore, the total depth that Jem dug initially was 4.5 meters + 1.2 meters = 5.7 meters.

After 2 days, the water in the well was 230 cm (or 2.3 meters) deep. To determine the part of the well that was not filled with water, we subtract the water depth from the total depth of the well.

Total depth of the well = Depth dug + Water depth

Total depth of the well = 5.7 meters + 2.3 meters

Total depth of the well = 8 meters

Part of the well not filled with water = Total depth of the well - Water depth

Part of the well not filled with water = 8 meters - 2.3 meters

Part of the well not filled with water = 5.7 meters

Therefore, Jem dug a total depth of 5.7 meters and there is 5.7 meters of the well that is not filled with water.

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The 68-95-99.7 rule, also known as the empirical rule, is a shorthand for remembering the percentage of values in a normal distribution that lie within an interval estimate: 68%, 95%, and 99.7% of values lie within one, two, and three standard deviations of the mean, respectively.

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule stating that for a normal distribution, nearly all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

The Empirical Rule states that 99.7% of data from a normal distribution is within 3 standard deviations of the mean.

68% of the data is within one standard deviation of the mean, 95% is within two standard deviations, and 99.7% is within three standard deviations, according to this rule.

Three-sigma limits that follow the empirical rule are used to define the upper and lower control limits in statistical quality control charts and risk analysis such as VaR.

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Answer:

B)

Step-by-step explanation:

we are given a logarithmic expression

we want to expand it

in order to do so we can consider using

recall that,

\( \displaystyle \sqrt{x} = {x}^{ \frac{1}{2} } \)

thus rewrite

\( \displaystyle \log_{ \sigma} \bigg( \frac{57}{74} \bigg) ^{ \large\frac{1}{2} } \)

use division logarithm property

\( \displaystyle \log_{ \sigma}(57) ^{ \large\frac{1}{2} } - \log_{ \sigma}(74)^{ \large \frac{1}{2} } \)

use exponent logarithm property:

\( \displaystyle \frac{1}{2} \log_{ \sigma}(57) ^{ \large } - \frac{1}{2} \log_{ \sigma}(74)^{ \large } \)

and we are done!

Step-by-step explanation:

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Riemann sums are calculated by dividing the area under a curve into subintervals and approximating the area in each interval using a rectangle.

Riemann sums are a method of approximating the area under a curve by dividing the area into smaller subintervals and approximating the area in each interval using a rectangle. The width of each rectangle is determined by the size of the subinterval, and the height of the rectangle is determined by the value of the function at a specific point within the subinterval.

The sum of the areas of all the rectangles gives an approximation of the total area under the curve. The accuracy of the approximation increases as the width of the subintervals decreases, and as the number of subintervals increases, the approximation approaches the exact value of the area under the curve.

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Step-by-step explanation:

radius=5yd

diameter= 2r =2(5)=10yd

area=πr²= 22/7*(5)²

78.57yd²

circumference= 2πr=2*22/7*5

31.43yd

Answer:

Answers are below.

Step-by-step explanation:

Radius: 5

Diameter (2 multiplied by the radius): 10

Area (pi multiplied by radius squared): Approximately 78.54

Circumference (2 multiplied by pi, multiplied by radius): Approximately 31.42

hope this helps and is right. p.s. i really need brainliest :)

Answer:

'n plus 5 squared' is n + 25

Step-by-step explanation:

Note that "five squared" is 5^2, or 25.

Then 'n plus 5 squared' is n + 25.

Answer:

y = -5x + 12

Step-by-step explanation:

y - 2 = -5(x - 2)

Slope-intercept form is y - mx + b.

First, distribute the -5 across the parentheses.

y - 2 = -5x + 10

Add 2 to both sides.

y = -5x + 10 + 2

y = -5x + 12

This is your equation in slope-intercept form.

Hope this helps!

Answer:

Is there a picture or something?

Step-by-step explanation:

Answer:B

Step-by-step explanation:

R^2=Q^2-P^2

R^2=2025

R=45

Answer:

b) 45cm

Step-by-step explanation:

by pythagoras theorem:

R² = P² - Q²

R² = 53² - 28² = 2809 - 784

R² = 2025

R = √2025

R = 45cm

Hope this helps!

Answer:

isosceles obtuse

Step-by-step explanation: