Multply 7/8 to 2-1/3

the value of the test statistic for testing whether there is a linear relationship between the and the estimated number is 0.3506905

Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127

The test statistic :

T = r² / √(1 - r²) / (n - 2)

Sample size, n = 10

Hence,

T = 0.127² / √(1 - 0.127²) / (10 - 2)

T = (0.016129 / 0.3506905)

T = 0.3506905

The value of the test statistic to 2 decimal places is 0.35

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the given expression is,

-4x + 3y = 25 ,,,,,,(1)

and

y = 3x + 15

subtitute the value of y in equation (1)

-4x + 3( 3x + 15) = 25

- 4x + 9x + 45 = 25

5x = 25 - 45

x = -20/5

x = -4

put x = -4 in y = 3x + 15

y = 3(-4) + 15

y = -12 + 15

y = 3

thus, the answer is x = - 4 and y = 3

Answer:

4800 inches^3

Step-by-step explanation:

to find volume you must multiply the length width and depth

40 * 20 * 6

40 * 20 = 800

800 * 6 = 4800

your answer is 4800 inches cubed

Resolving the expression into a system of linear equations, the value of x and y are 5 and 15 respectively

Expanding the given equation, we get:

\((3x - y)^2 + (x - 5)^2 = 0\\9x^2 - 6xy + y^2 + x^2 - 10x + 25 = 0\\10x^2 - 6xy + y^2 - 10x + 25 = 0\)

To solve for x and y, we need another equation that relates them. However, since the given equation has no real solutions (as the sum of two squares cannot be zero unless both squares are zero), we can conclude that there are no real values of x and y that satisfy the equation.

Alternatively, we could write the given equation as:

(3x - y)² = (5 - x)²

Taking the square root of both sides, we get:

3x - y = ±(5 - x)

Now we have two equations:

3x - y = 5 - x ...eq(i)

3x - y = x - 5 ...eq(ii)

solving for both x and y in the system of linear equations

x = 5 and y = 15

Therefore, the solution to the given equation is:

x = 5, y = 15

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For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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Answer:

360

Step-by-step explanation:

the answer is $360 because 8% x $1500 = 120 and eventually since it says 3 years we would have to times it by 3 which would equal 360

Jose will $360 in interest in three years.

Simple interest is based on the principal amount of a loan or the first deposit in a savings account.

Now it is given that,

Principle amount, P = $1500

Rate of interest, R = 8% = 0.08

Time, T = 3 years

Now, since the simple interest paid in T years  is given as,

S.I = PRT/100

S.I = 1500*8*3/100

S.I =36000/100

S.I = 360

Simple interest paid in 3 years is $360.

Hence,Jose will $360 in interest in three years.

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Answer:B 4

Step-by-step explanation:

its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped

A variable solution for the function is not realistic to have 4.5 owners.

In the given graph x-axis represents the number of owners and the y-axis represents the yearly cost of pets, in hundreds.

It is given that the graph passes through the points (1,15), (3,7), and (10,0).

We need to check whether (4.5, 6) is a realistic solution for the function or not. (4.5,6) point represents

1 showing awareness and acceptance of reality. 2 practical or pragmatic rather than ideal or moral. 3 (of a book, film, etc.) depicting or emphasizing what is real and actual rather than abstract or ideal.

Number of owners = 4.5

the yearly cost of pets = 6

It is realistic that owners spend $600 a year on their pet(s).

A number of owners can not be a fraction value. So, it is not realistic to have 4.5 owners.

Therefore, the correct option is D.

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The required probability would be 9.

What is probability?

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is the measure of the likelihood or chance that a particular event will occur.

If the theoretical probability of rolling a sum greater than 10 is 3/36, then the experimental probability is also 3/36 or 1/12 since the die is fair

If the experiment is repeated 108 times, the expected number of times rolling a sum greater than 10 is given by:

Expected number = probability x number of trials

Expected number = (1/12) x 108

Expected number = 9

Therefore, we can predict that the rolls will result in a sum greater than 10 9 times if the experiment is repeated 108 times.

Hence, the required probability would be 9.

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Answer:

sorry i need this for a challenge :)

Step-by-step explanation:

The first 2 years' depreciation expenses using the units of production method are $2,805 and $6,035, respectively.

Using the units of production method, we can calculate the depreciation expense based on the number of units the machine produces each year. To do this, we need to calculate the depreciation per unit of production first.

Depreciation per unit = (Purchase price - Residual value) ÷ Estimated total units of production

= (28,500 - 5,500) ÷ 115,000

= 0.17 per unit

Year 1 depreciation expense = Depreciation per unit x Units produced in year 1

= 0.17 x 16,500

= 2,805

Year 2 depreciation expense = Depreciation per unit x Units produced in year 2

= 0.17 x 35,500

= 6,035

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Answer:

Yes.

Step-by-step explanation:

To solve this, simply substitute the points into the equation:

7 = 4 + 3

7 = 7

Therefore, (4,7) is on the line.

A 220lb person on earth would weigh 23.81lb on moon

Given

Weight of an object on moon varies same as that on the planet earth

This means the weights are directly proportional

Weight of person on earth = 162.7lb

Weight of person on moon = 27.66lb

Also,

Weight of person on earth = 220lb

We need to find weight of this person on moon.

Let weight of person on moon be x

According to the data equation can be formed as

27.66 x 220 = 162.71x

3885.2 = 162.71x

x= 23.81

Hence the weight of the person on moon is 23.lb

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Answer:3.4

Step-by-step explanation:

Answer:

3.4

Step-by-step explanation:

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\sin Q = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{x}{9.2}

sinQ=  

hypotenuse

opposite

​  

=  

9.2

x

​  

\sin 22=\frac{x}{9.2}

sin22=  

9.2

x

​  

9.2\sin 22=x

9.2sin22=x

Cross multiply.

Answer: A). 14,866.01 ft^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·26·65+2·π·262≈14866.01644ft²

In light of the query we've got Here's a circle whose center is at and whose radius is 15 units (0,0) The x-coordinate becomes 9 or -9 whereas if Y coordinate is 12.

The distance between a circle's center and circumference is known as the radius. Always, the diameter is twice the radius. As a result, the ratio is created by multiplying the diameter by two.

According to the formula we get

\(x^2\) + \((y - 0)^2\) = \(15^2\)

Substituting the given values:

\(x^2\)+ \((12 - 0)^2 = 15^2\)

\(x^2\) + 144 = 225

\(x^2\)= 81

x = ±9

Therefore the x-coordinate will be 9 or -9.

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The volume of the cylinder rounded to the nearest cm is,

V₁ = 9,646.1 cm³

We know the following:

Cylinder volume: V₁ = π r² h

Ball (sphere) volume: V₂ =4/3 π r³

where:

V - volume

r - radius of base of cylinder and diameter of ball

h - height of cylinder.

Here, We have,

D = 16 cm ⇒ r = 16 ÷ 2 = 8

π = 3.14

a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:

h = 3 × r = 3 × 16 cm = 48 cm

r = 8 cm

So,

V₁ = π r² h

V₁ = 3.14 × (8 cm)² × 48 cm

V₁ = 9,646.1 cm³

Thus, The volume of the cylinder rounded to the nearest cm is,

V₁ = 9,646.1 cm³

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

To test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.

Claim: p = 0.80

Opposite: p ≠ 0.80

The test is a two-tailed z-test.

Sample proportion (p) = 374/445 = 0.8404

Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)

z = 2.53 (rounded to 2 decimals)

Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.

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The equivalent expression in the context of this problem is given as follows:

A. 5k² - 3k + 1

The expression in the context of this problem is given as follows:

(15k³ - 9k² + 3k)/3k.

The common term in the numerator is given as follows:

3k.

The simplified numerator then is given as follows:

3k(5k² - 3k + 1).

Simplifying the common term 3k to the numerator and to the denominator, the simplified expression is given as follows:

A. 5k² - 3k + 1

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Answer:

P=36

Step-by-step explanation:

(1/6xp)(1/6x24)=10

1/6p+4=10

1/6p=10-4

1/6p=6

1/6 divided by 1/6=p(the variable that is left)

6 divided divided by 1/6=36

p=36

Answer:

(1/6 x p) (1/6 x 24) = 10

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)

The equation that represents the graph of f(x) is \(f(x) = \sqrt {x - 1\)

The complete question is in the attached image

The parent square root function is:

\(g(x) = \sqrt x\)

From the graph,

g(x) is shifted one unit right to get f(x)

This is represented as:

f(x) = g(x - 1)

So, we have:

\(f(x) = \sqrt {x - 1\)

Hence, the equation that represents the graph of f(x) is \(f(x) = \sqrt {x - 1\)

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Answer:

The answer is A. I hope this helped

Answer: -20xy + 3y² + 3x²

Step-by-step explanation:

(xy + 2y² + 3y² - x²) - (12xy - 10y² - 18x² + 9xy + 12y² + 14x²)

(xy + 5y² - x²) - (21xy + 2y² - 4x²)

xy + 5y² - x² - 21xy - 2y² + 4x²

-20xy + 3y² + 3x²

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer: B

Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:

2x\(\sqrt{3}\) - 3\(x^{2}\)

Hope this helps.

Answer:

A) 3x - 2+ 2/x+1

good luck