Which graph is a histogram?

Answer:

Veda: 10

Kaleb: 20

Step-by-step explanation:

Veda is seen in the equation:

y = 10x + 600

The 600 is telling us what elevation she started at and the 10 tells us her rate.  

Kaleb:

We see that he went down 20 feet every second (570 - 550)

Answer: Hope This help:)

Step-by-step explanation:

Answer:4:5

Step-by-step explanation:thank me if this is right<333

The digits in millions period of the number is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

Given the number is 21,468,127,471.

The digits in which are given in the large numbers are in groups of three places. The groups are called periods. Commas are usually used to separate the periods.

The groups of numbers are 3 digit group and which is starting from the right to left.

As we all know that we read the group of periods as ones, tens, hundreds, thousand, ten thousand, hundred thousand, million, ten million, hundred million, billion etc.

From  the above, we find that the given number 21,468,127,471 contains digit 1 is in the ones place, 7 is in the tens place, 4 is in the hundredth place, 7 is in the thousand place, 2 is in the ten thousand place, 1 is in the hundred thousand place, 8 is in the million place, 6 is in the ten million place, 4 is in the hundred million place , 1 is the billion place and 2 is in the ten bilion.

Hence, the digits in millions period of the given number 21,468,127,471 is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

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Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨

Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.

In order to test the hypothesis of whether customers are getting fewer ounces of a soft drink than the stated 28 ounces on the label, the inspector should use a hypothesis test.

A hypothesis test is a statistical procedure used to make inferences or draw conclusions about a population based on sample data. In this case, the inspector wants to investigate if the mean number of ounces in the bottles is less than 28 ounces, which implies that customers are receiving fewer ounces than stated on the label.

The inspector should follow the steps of a hypothesis test, which include formulating the null hypothesis (H0) and the alternative hypothesis (Ha), selecting an appropriate significance level, collecting sample data, and conducting the test using statistical methods such as a t-test or z-test.

The null hypothesis (H0) would state that the mean number of ounces in the bottles is equal to 28 ounces, while the alternative hypothesis (Ha) would state that the mean number of ounces is less than 28 ounces.

By analyzing the collected sample data and conducting the hypothesis test, the inspector can assess the evidence and make an informed conclusion regarding whether customers are indeed receiving fewer ounces than stated on the label.

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The probability of getting 1, 2, or 3 at the most 9 times after rolling a fair die 12 times is given by 0.9807.

Probability that 1, 2, or 3 is rolled at most 9 times,

Consider all the possible outcomes of rolling a fair die 12 times.

Count the number of outcomes where 1, 2, or 3 is rolled at most 9 times.

Use the complementary probability,

Probability that 1, 2, or 3 is rolled more than 9 times,

Then subtract that probability from 1 .

Let X be the number of times 1, 2, or 3 is rolled in 12 rolls.

Then X follows a binomial distribution with n=12 and p=1/2,

Since there are 3 favorable outcomes out of 6 possible outcomes on each roll.

The probability that 1, 2, or 3 is rolled more than 9 times can be calculated as follows,

P(X > 9) = P(X = 10) + P(X = 11) + P(X = 12)

= (¹²C₁₀) (1/2)^10 (1/2)^2 + (¹²C₁₁) (1/2)^11 (1/2)^1 + (¹²C₁₂) (1/2)^12 (1/2)^0

= 66/2^12 + 12/2^12 + 1/2^12

= 79/2^12

Probability that 1, 2, or 3 is rolled at most 9 times is,

P(X ≤ 9)

= 1 - P(X > 9)

= 1 - 79/2^12

= 4017/2^12

Rounding this to four decimal places gives,

P(X ≤ 9) ≈ 0.9807

Therefore, the probability that 1, 2, or 3 is rolled at most 9 times is approximately 0.9807.

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According to the given information the expression solution are:

An equation is referred to as an identity if it has one or more variables and is true for all alternate values of the variables for which both sides of the equation are defined.

For instance,

the equation x 2 + 2 x = x(x + 2) is an identity since it holds true for all possible replacement values for x.

A conditional equation is one that holds true only for specific replacement values of the variable.

For instance, the equation 3 x + 4 = 25 is a conditional equation because it isn't true for all possible replacement values for x.

Without specifying any limitations, an equation is claimed to be an identity, but in reality, it is only an identity for replacement values for which both sides of the identity are defined.

The trigonometric expression is 9 sec2 x (1 - sin2x)

Apply Pythagorean identity

1 - sin2 x = cos2 x9 sec2 x (1 - sin2x)

= 9 sec2 x(cos2 x)

Apply reciprocal identity cosx = 1/ secx

= 9 sec2 x(1/sec2 x)

= 9

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On solving the question, The expression that most effectively represents u's value would be:  u = 2s

A area that is formed by a secant or chord and the matching arc of the circle is referred to as a segment of a circle. The major section is the one that shows a greater region, while the minor segment is the one that shows a smaller area.

We have

In ΔABC,

E is the midpoint in the segment AC,

While D is the midpoint of BC,

As different letters are provided equivalent to different segments. For example; Segment ED = s ; Segment CE = p ; Segment EA = r

\(Segment CD = q ; \\Segment DB = t ; \\Segment ED = s ; \\Segment AB = u\)

As,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

\(\frac{CE}{AC} = \frac{CD}{CB} = \frac{ED}{AB} = \frac{1}{2}\)        (Through side angle side similarity)

Since ED = s and AB = u

Therefore,

u = 2s                                   (using midpoint theorem)

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Answer:

Step-by-step explanation:

55.25x.87=48.07

55.25+48.07=103.32

4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block ways are there to arrange A∩R∩C, we must arrange the 3 blocks (3!) and then arrange within the blocks (4!⋅3!⋅5!)

According to the question, given that

4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block

Imagine that the American block is merely an additional person to be placed among the other 8 people. After that, there are 9 "people" providing 9! arrangements. In order to organize the Americans within the block, we must then multiply by 4.

With 5 real individuals and 2 blocks, we have 7 "people" for AR, giving us 7!, multiplied by 4!3! to arrange within the blocks.

Similar to how we must position the three blocks for A∩R∩C, we must also organize the blocks themselves (3! 4! 3! 5!)

Therefore, the ways to arrange the people into a queue is (3! 4! 3! 5!)

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Answer:

if outcomes are equally likely then the probability of an event occurring is the number in event divided by the number in sample space

True. Correlation measures the strength of the relationship between variables. A correlation closer to 1 or -1 suggests a stronger relationship and supports the claim that x determines y.

Correlation measures the degree of association between two variables, typically denoted as x and y. A correlation coefficient ranges from -1 to 1, where a value close to 1 indicates a strong positive correlation, a value close to -1 indicates a strong negative correlation, and a value close to 0 indicates a weak or no correlation.

When the correlation coefficient is close to 1 or -1, it suggests a strong relationship between the variables. If the correlation is positive and close to 1, it indicates that as the level of x increases, the level of y tends to increase as well. Similarly, if the correlation is negative and close to -1, it implies that as the level of x increases, the level of y tends to decrease.

Therefore, a correlation closer to 1 or -1 provides greater evidence that the level of x determines the level of y, supporting the claim of a strong relationship between the two variables.



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Answer: $8.20

Step-by-step explanation:

Answer:

$8.20

Step-by-step explanation:

you pay the $85 plus the 8% tax

multiply $85 by .08 to find the sales tax that needs to be paid

add that number you get; 6.8 + 85 = 91.8

subtract 91.8 from 100; 100- 91.8 to get 8.2

Answer:

W > 0.5L

Perimeter:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

÷3       ÷3

 L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

Answer:

60

is the answer on edge

Answer:

2,4

Step-by-step explanation:

they are both pentagons, and they both have roughly the same side lenght

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

\(\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }\)

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

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Answer:option D is correct

Step-by-step explanation:

The combined total of his annual contribution and his employer's contribution is $13,000.

The term "combined total" refers to the sum or aggregate of two or more individual quantities, values, or amounts. It represents the cumulative or total amount resulting from the combination or addition of multiple components.

According to the given information:

First, let's calculate Caleb's annual contribution to his 401k account.

Caleb contributes $250 from each biweekly paycheck, so his biweekly contribution is $250.

Since there are 26 biweekly pay periods in a year (52 weeks), his total biweekly contributions in a year would be 26 * $250 = $6,500.

Caleb's annual salary is $45,000 per year, and his employer matches 75% of his 401k contributions up to 10% of his annual salary. So, the maximum employer match would be 75% of 10% of $45,000, which is 0.75 * 0.10 * $45,000 = $3,375.

Since Caleb's annual contribution ($6,500) is less than the maximum employer match ($3,375), his employer will match his entire contribution.

Therefore, the combined total of Caleb's annual contribution and his employer's contribution would be $6,500 + $6,500 = $13,000.

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The inequality -x+3y < 6 passes through the points (-6, 0) and (0, 2).

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

We have an inequality,

-x+3y < 6.

The graph of the inequality is given in the attached image.

And inequality passes through the points (-6, 0) and (0, 2).

Therefore, the graph of the inequality is given in the attached image.

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Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

301.7 cm

Step-by-step explanation:

Given,

Height of cone (h)=8cm

base radius (r)=6cm

Volume of the cone (V)=

3

1

πr

2

h

=

3

1

×

7

22

×6×6×8

=

7

2112

=301.7cm

3

Hence, volume of the cone =301.7cm

3

Answer:

402.1402.1 cm

Step-by-step explanation

height = 6cm

Radius= 8cm

The general solution of the given second-order linear differential equation (sin^2 x)y'' - (2sin x cos x)y' + (cos^2 x + 1)y = sin^3 x, given that y1 = sin x is a solution of the corresponding homogeneous equation, is y(x) = (c1 + c1e^x + c2e^(-x))sin x, where c1 and c2 are arbitrary constants.

To find the general solution of the given second-order linear differential equation, we will use the method of reduction of order and variation of parameters.

Step 1: Reduction of Order

Since y1 = sin x is a solution of the corresponding homogeneous equation, we can use the reduction of order method to find a second linearly independent solution. Let's assume the second solution as y2 = v(x)sin x, where v(x) is a function to be determined.

Now, we will find the derivatives of y2:

y2' = v'(x)sin x + v(x)cos x

y2'' = v''(x)sin x + 2v'(x)cos x - v(x)sin x

Substitute these derivatives into the original differential equation:

(sin^2 x)y2'' - (2sin x cos x)y2' + (cos^2 x + 1)y2 = sin^3 x

(sin^2 x)[v''(x)sin x + 2v'(x)cos x - v(x)sin x] - (2sin x cos x)[v'(x)sin x + v(x)cos x] + (cos^2 x + 1)(v(x)sin x) = sin^3 x

Simplify the equation:

v''(x)sin^3 x + 2v'(x)sin^2 x cos x - v(x)sin^3 x - 2v'(x)sin^2 x cos x - v(x)sin x cos^2 x + v(x)sin x = sin^3 x

Combine the terms:

v''(x)sin^3 x - v(x)sin^3 x - v(x)sin x cos^2 x + v(x)sin x = 0

Factor out sin x:

sin x [v''(x)sin^2 x - v(x)sin^2 x - v(x)cos^2 x + v(x)] = 0

Since sin x ≠ 0, we can divide the equation by sin x:

v''(x)sin^2 x - v(x)sin^2 x - v(x)cos^2 x + v(x) = 0

Simplify further:

v''(x)sin^2 x - v(x)[sin^2 x + cos^2 x] = 0

v''(x)sin^2 x - v(x) = 0

This is a second-order linear homogeneous differential equation for the function v(x). We can solve it using various methods, such as the characteristic equation or integrating factors. In this case, it simplifies to a first-order differential equation:

v''(x) - v(x) = 0

The general solution of this equation is:

v(x) = c1e^x + c2e^(-x)

Step 2: Variation of Parameters

Now that we have found the second linearly independent solution v(x) = c1e^x + c2e^(-x), we can apply the method of variation of parameters to find a particular solution to the non-homogeneous equation.

Let's assume the particular solution as y_p = u(x)sin x, where u(x) is a function to be determined.

We can find the derivatives of y_p:

y_p' = u'(x)sin x + u(x)cos x

y_p'' = u''(x)sin x + 2u'(x)cos x - u(x)sin x

Substitute these derivatives into the original differential equation:

(sin^2 x)y_p'' - (2sin x cos x)y_p' + (cos^2 x + 1)y_p = sin^3 x

(sin^2 x)[u''(x)sin x + 2u'(x)cos x - u(x)sin x] - (2sin x cos x)[u'(x)sin x + u(x)cos x] + (cos^2 x + 1)(u(x)sin x) = sin^3 x

Expand and simplify the equation:

u''(x)sin^3 x + 2u'(x)sin^2 x cos x - u(x)sin^3 x - 2u'(x)sin^2 x cos x - u(x)sin x cos^2 x + u(x)sin x = sin^3 x

Combine the terms:

u''(x)sin^3 x - u(x)sin^3 x - u(x)sin x cos^2 x + u(x)sin x = 0

Factor out sin x:

sin x [u''(x)sin^2 x - u(x)sin^2 x - u(x)cos^2 x + u(x)] = 0

Divide the equation by sin x:

u''(x)sin^2 x - u(x)sin^2 x - u(x)cos^2 x + u(x) = 0

Simplify further:

u''(x)sin^2 x - u(x)[sin^2 x + cos^2 x] = 0

u''(x)sin^2 x - u(x) = 0

This is the same differential equation as before: v''(x)sin^2 x - v(x) = 0. Therefore, the function u(x) has the same form as v(x):

u(x) = c1e^x + c2e^(-x)

Step 3: General Solution

The general solution of the original differential equation is given by the linear combination of the homogeneous solutions and the particular solution:

y(x) = c1y1 + c2y2 + y_p

Substituting the values of y1 = sin x, y2 = v(x)sin x, and y_p = u(x)sin x:

y(x) = c1sin x + (c1e^x + c2e^(-x))sin x + (c1e^x + c2e^(-x))sin x

Simplifying further:

y(x) = (c1 + c1e^x + c2e^(-x))sin x

This is the general solution of the given second-order linear differential equation.

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The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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Answer:

I have no any ideas

Step-by-step explanation:

sorry

Answer:

hope this answer helps you dear...take care and may u have a great day ahead!

Flo ate more of the sandwich than Arnie.

Option A is the correct answer.

We have,

We need to compare the values 3/4 and 2/3 to determine which fraction represents a larger amount of sandwiches eaten.

To make the fractions comparable, we need to find a common denominator.

The least common multiple of 4 and 3 is 12.

So we can rewrite 3/4 and 2/3 with 12 as the denominator:

3/4 = 9/12

2/3 = 8/12

Comparing these fractions, we see that 9/12 (or 3/4) is greater than 8/12

(or 2/3).

Therefore,

Flo ate more of the sandwich than Arnie.

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Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

p = x / n

p = 91/110

p = 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= p - Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.