You want to get a pet but don't have a lot of money. You decide to compare the average yearly cost of owning a dog to the average yearly cost of owning a cat by assuming they have equal variance. You go to the dog park one Saturday and ask 46 dog owners how much per year they spend on their dog. The next Saturday you start next door and go to every house on your street until you collect a sample of 32 cat owners and ask them how much per year they spend on their cat. Your data for dogs is Xdog = $1,106, Sdog = $150. Your data for cats is Xcat = $971, Scat = $187. Find a 92% confidence interval for the average difference between owning a dog and a cat. Round to 2 decimals 64.40247 X 205.5975 X)

Fraction: according to the problem the answer is 5/6 + 27 - 49 + 10.5 = -5.5.

A fraction is a numerical expression that represents part of a whole. It is written as a ratio of two numbers, separated by a slash (/) symbol. The top number is called the numerator, and the bottom number is called the denominator. For example, 3/4 is a fraction that represents 3 out of 4 parts, or 75% of the whole.

1/2 + 1/3 = 5/6
1/2(18 + 36) = 27
1.2(13 - 8) - 11(22 - 17) = 1.2(5) - 11(5) = 6 - 55 = -49
1.5x3 + 1.5x4 = 4.5 + 6 = 10.5
Therefore, the answer is 5/6 + 27 - 49 + 10.5 = -5.5.

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Answer:

x = 22

Step-by-step explanation:

hope I helped!!

Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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Assuming no deposits or withdrawals are made, the time it would take for the value of the account to reach $182,800 is 13.5 years.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months

Based on the given information, t is the unknown and

B = $182,800

P = $75,000

r = 6.8% = 0.068

n = 1

Plug in the values and solve for the time it would take for the value to reach $182,800.

B = P(1 + r/n)^t

$182,800 = $75,000(1 + 0.068/1)^t

$182,800 = $75,000(1.068)^t

(1.068)^t = $182,800 / $75,000

(1.068)^t = 914/375

t = 13.5 years

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Answer: 31824010600

Step-by-step explanation: 3182400060 tens and 100 hundreds = 31824010600.

Answer:

7 :)

Step-by-step explanation:

Sharonda is plotting quadrilateral PQRS on the graph below She will plot the fourth and final vertex, S, at (9, 5), the length of side PS will be 11 units.

A quadrilateral is a four-sided polygon. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are several types of quadrilaterals, including: Square, rectangle, parallelogram, rhombus, trapezoid, and kite.

Length of side PS can be calculated using the distance formula,

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Where,

P(-2, 5) = (\(x_1,y_1\)) (the coordinate of P is gotten from the graph).

Given that,

S(9, 5) = (\(x_2,y_2\))

PS = \(\sqrt{(9-(-2))^2+(5-5)^2}\)

PS = \(\sqrt{11^2+0^2}\)

PS = \(\sqrt{121}\)

PS = 11units.

Thus, the answer is 11 units.

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Answer:

h=

3x2−24x+53 orver x

Step-by-step explanation:

Answer:

To write equivalent fractions with a common denominator, we need to find the least common multiple (LCM) of the denominators of the fractions and then write each fraction with the LCM as the denominator. Here's a step by step guide:

1. To find the LCM of 3 and 6, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 3: 3, 6, 9, 12, 15, 18, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, ...

The LCM of 3 and 6 is 6, so we write 2/3 and 3/6 with 6 as the denominator:

2/3 = 4/6 and 3/6 = 1/2

2. To find the LCM of 4 and 12, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, ...

The LCM of 4 and 12 is 12, so we write 3/4 and 5/12 with 12 as the denominator:

3/4 = 9/12 and 5/12 = 5/12

3. To find the LCM of 5 and 10, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 5: 5, 10, 15, 20, 25, 30, ...

Multiples of 10: 10, 20, 30, 40, 50, 60, ...

The LCM of 5 and 10 is 10, so we write 3/5 and 7/10 with 10 as the denominator:

3/5 = 6/10 and 7/10 = 7/10

You can use this process to find the LCM and write equivalent fractions with a common denominator for the rest of the problems.

a)

answer: 1

b)

answer: 5/4

Answer:

$495

Step-by-step explanation:

This is because  Gross income is the total amount without taxes or deductions  

So all you have to do is 11x45 which gives you 495.

The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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ok

1.- Convert 1 m to mm

1 m ------------------ 100 cm 10 mm ------ 1 cm

there are 10 x 100 = 1000 mm in a meter

2.- Convert 35 cm into mm

10 mm -------------- 1 cm

x -------------- 35 cm

x = (35 x 10) / 1

x = 350 mm

3.- Total = 1000 + 350 = 1350 mm

The answer is H. 1350 mm

Answer:

Finance per billing cycle = $ 30.91

Step-by-step explanation:

First, we will calculate the APR for 1 day:

APR per day = (22.99%/year)(1 year/12 month)(1 month/31 days)

APR per day = 0.062 % / day

Now, we will calculate the finance per day:

Finance per day = (Daily Balance)(APR per day) = ($ 1608.24)(0.062 %/day)

Finance per day = $0.99/day

Now, we will calculate the finance for one billing cycle:

Finance per billing cycle = (Finance per day)(31 days) = ($ 0.99/ day)(31 days)

Finance per billing cycle = $ 30.91

Answer:

57

Step-by-step explanation:

-7+2*36-8

-7+72-8

65-8

57

Answer:

Step-by-step explanation:

Let the number of 2 liter cans be x and 5 liter cans be y.

Number of cans:

Amount of paint:

Solve the system by elimination, double the first equation and subtract from the second one:

Find x:

Answer:

Step-by-step explanation:

Reason: Rectangle D will map directly on top of rectangle E if it is mirrored over the x-axis and then moved 8 units to the right.

Answer:

12 that's what I think the answer is

Answer:

3 and 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

15y = 45x + 60 ( divide all 3 terms by 15 )

y = 3x + 4 ← in slope- intercept form

with slope m = 3

Given

6y = 12x + 36 ( divide all 3 terms by 6 )

y = 2x + 6 ← in slope- intercept form

with slope m = 2

The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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Answer:

the value of ∠MIJ is 125

Step-by-step explanation:

You can assume ∠ JIK and ∠MIL are the same and would add to 110 degrees. we know a circle can only contain 360 degrees so if you take 360 - 110 = it leaves 250. and ∠LIK and ∠MIJ are equivalent so if you take your remainder of 250 and divide it by 2 you get 125 degrees.

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The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.

To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.

Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:

$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.

Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.

Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.

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Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer:

The dependent variable is the total number of paintings; The total number of paintings depends on the number of weeks that have passed; and This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

Step-by-step explanation:

Use the answer to "check all that apply"

Given,

5(2)+15v=00

where v is the number of vans.

Solving,

15v=90

v=6

Thus the correct answer is 6 vans are needed to transport students.

The length of string used to decorate the ceiling = 40.5 meters.

According to the statement

we have given that the hotel staff is decorating the lobby by placing one row of string lights along the outer edge of the rectangular ceiling.

And the coordinates of rectangular ceiling is A(5,16), B(17,10), C(14,4), D(2,10).

And we have to find the total length for string is used to decorate the rectangular ceiling.

We know that the Total length of string = Area of the rectangular ceiling.

And area of rectangular ceiling = L*B

So, Length of rectangular ceiling = A+B

Length of rectangular ceiling = (17-5) + (16-10)

Length of rectangular ceiling = (12+6)/2

Length of rectangular ceiling = 9.

So,

Breadth of rectangular ceiling = B+C

Breadth of rectangular ceiling = (17-14)+(10-4)

Breadth of rectangular ceiling = (3+6) /2

Breadth of rectangular ceiling = 4.5

So, the length of string used = 4.5*9

the length of string used = 40.5 meters.

The length of string used to decorate the ceiling = 40.5 meters.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

The hotel staff is decorating the lobby by placing one row of string lights along the outer edge of the rectangular celling. A member of the s⊥aff maps the celling on a coordinate grid as shown, where each unit represents . What is the approximate length of string lights the staff needs to decorate the ceiling?

A 20.25 meter

B. 35 meter

C. 40.5 meter

D. 14 meter

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The correct expression that represents the statement "Budweiser is bland if either Heineken is balanced or Foster's is refreshing" is option (c) B-(HVF).

Option (c) B-(HVF) represents the logical statement "Budweiser is bland (B) if not (-(HVF)) either Heineken is balanced (H), Foster's is refreshing (F), or both."

The statement states that Budweiser is bland if either Heineken is balanced or Foster's is refreshing. In logical terms, this can be represented as "Budweiser is bland if (Heineken is balanced) or (Foster's is refreshing)."

The expression B-(HVF) captures this logic. The '-' symbol denotes the negation or "not" operator. So, -(HVF) means "not (Heineken is balanced and Foster's is refreshing)."

The expression B-(HVF) states that Budweiser is bland if not both Heineken is balanced and Foster's is refreshing. This aligns with the given statement and correctly represents the logical relationship between Budweiser's blandness and the conditions related to Heineken and Foster's.

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Answer:

x = 14

AB = 37

BC = 36

AC = 28

PQ = 28

QR = 28

PR = 45

Step-by-step explanation:

we can add together the sides of ΔABC and set it equal to the sum of the sides of ΔPQR

2x+9 + 2x+8 + 2x = 2x + 2x + 3x+3

combine 'like terms':

6x + 17 = 7x + 3

subtract 6x from each side to get:

17 = x + 3

subtract 3 from each side to get:

14 = x

CHECK:

Does 6(14) + 17 equal 7(14) + 3?

84+17 = 98+3

101 = 101  checks out correctly

I hope that it will be help full for u

As we know point slope form ,

(Y- Y1) = m (X- X1)

As given data ,

m = -2/5

(X1,Y1) =  (5, -12)

X1= 5 , Y1=  -12

putt in the above equation these values, we get

Y-(-12) = (-2/5) ( X-5)

Y+12=(-2/5)X+2

taking LCM we get

Y  = ((-2)X-50)/5

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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The capability index that is most desirable is a. 1.00.

The capability index, often represented by Cp, is a measure of the capability of a process to consistently produce output within specified limits. It compares the spread of the process output to the width of the specification limits.

A capability index of 1.00 indicates that the process spread is equal to the width of the specification limits, indicating a high level of capability. This means that the process is able to consistently produce output that meets the desired specifications without significant deviation.

On the other hand, a capability index below 1.00 indicates that the process spread is wider than the specification limits, indicating a lower level of capability. In such cases, the process may have difficulty consistently meeting the desired specifications.

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The total number of social security numbers that are possible are 900,000,000.

In the social security number first digit can only fall between 1 and 9, leaving us only nine options because the first three digits cannot all be zeros. There are still 10 possibilities for each of the second and third digits because they may both still be any integer between 0 and 9.

Therefore, the total number of different social security numbers that can be formed is using the combinations,

= 9 × 10⁸

= 900,000,000

So, there are 900,000,000 different possible social security numbers.

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