What should be the first step in the following problem? 10(8 × 15 – 7 – 4 × 3)

Answer:

3

Step-by-step explanation:

Lower quartile (xL): 13.5

Upper quartile (xU): 18.5

Interquartile range (xU-xL): 3

Thanks!

Answer:

3 is the interquartile range.

To find interquartile range:

Here:

using the formula:

→ 18 - 15

→ 3

The intersecting chord theorem states that if two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Solve for x algebraically

Answer:

5.4 = 7.56

1.5 = 2.1

Step-by-step explanation:

Just find the answer for 40% of the given meters.

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

Step-by-step explanation:

T1 = 20

Tn = T(n-1)*3

Given geometric sequence is,

20, 60, .......

Recursive formula of the geometric sequence is given by,

a₁ = First term of the sequence

\(T_n=T_(n-1)\times r\)

\(T_n=\) Successive term of the sequence

\(T_{n-1}=\) Previous term of the sequence

r = common ratio

Here, \(r=\frac{\text{2nd term}}{\text{1st term}}=\frac{60}{20}\)

r = 3

Therefore, \(T_n=T{(n-1)}\times 3\)

Therefore, recursive formula of the sequence is,

\(a_1=20\)

\(T_n=3(T_{n-1})\)

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The x-axis should be labeled as weekly deposit($/week).

How do you define "deposit"?

A deposit is money kept in a bank account or with another financial institution that has to be transferred from one party to another. A deposit may also refer to the sum of money used as a guarantee or deposit for the provision of goods or services.

                      Keeping money in a bank account is known as making a deposit. Demand deposits and time deposits are the two different forms of deposits. The three types of demand deposit accounts are checking, savings, and money market.

X - Line is represents weekly deposit in the graph.

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Answer: 23

Step-by-step explanation:

x = 90 - 67

x = 23

Answer:

The midpoint is (3, 3).

Step-by-step explanation:

We are given the two points A(9, 11) and B(-3, -5).

The midpoint is given by:

\(\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)\)

So:

\(\displaystyle M = \Big( \frac{9+(-3) }{2}, \frac{ 11+(-5) }{2} \Big) = (3,3)\)

The midpoint is (3, 3).

We want to show that AM = MB.

We can use the distance formula:

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

The distance between A(9, 11) and M(3, 3) will then be:

\(AM=\sqrt{(9-3)^2+(11-3)^2}=\sqrt{6^2+8^2}=\sqrt{100}=10\)

And the distance between B(-3, -5) and M(3, 3) will be:

\(MB = \sqrt{ (3-(-3))^2 + (3-(-5))^2 } = \sqrt{(6)^2+(8)^2} = \sqrt{ 100 } = 10\)

So, AM = MB = 10.

Since AM = MB = 10, AM + MB = 10 + 10 = 20.

So, we want to prove that AB = 20.

By the distance formula:

\(AB=\sqrt{(9-(-3))^2+(11-(-5))^2}=\sqrt{12^2+16^2}}=\sqrt{400}=20\stackrel{\checkmark}{=}20\)

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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Answer:

8.0%

Step-by-step explanation:

.8 * 5,000 = 400

The jumper is in free fall for 7.07 s if the parachute is opens at 1000 ft

The jumper is in free fall for 7.29 s if the parachute is opens at 950 ft

The reasonable domain for the function h is

0 ≤ t ≤ 10

The reasonable range for the function h is

0 ≤ h ≤ 1800

The duration of free fall is calculated using the given function

h = -16t² + 1800

the parachute is opens at 1000 ft

h = -16t² + 1800

1000 = -16t² + 1800

16t² = 1800 - 1000

16t² = 800

t² = 800 / 16

t² = 50

t = √50

t = 7.07 s

the time at this situation is 7.07s

the parachute is opens at 950 ft

h = -16t² + 1800

950 = -16t² + 1800

16t² = 1800 - 950

16t² = 850

t² = 850 / 16

t² = 53.125

t = √53.125

t = 7.2887 s

the time at this situation is 7.29s

reasonable domain

minimum t = 0

for maximum t, h = -16t² + 1800 = 0

16t² = 1800

t = 10.61

0 ≤ t ≤ 10

the reasonable domain is 0 ≤ t ≤ 10

reasonable range

h = -16t² + 1800

at t = 0, h = 1800

at t = 10.606, h = 0

0 ≤ h ≤ 1800

the reasonable range is 0 ≤ h ≤ 1800

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The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer: 0.07

Step-by-step explanation:

To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.

Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.

The total sample size is given as 311.

Therefore, the relative frequency can be calculated as:

Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)

= 21 / 311

≈ 0.0676

Rounded to two decimal places, the relative frequency is approximately 0.07.

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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The line that contains an example of assonance is C. He fell asleep under the oak tree, feeling fine.

This refers to the similarity of sounds that can be found in nearby words in a sentence, between their vowels and/or consonants.

Furthermore, alliteration means the occurrence of similar words or sounds in a sentence at the beginning of closely connected words.

With this in mind:

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Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Considering the given rectangle, the coordinates of p are (6,7).

For x, there are two vertices at x = 3 and one at x = 6, hence the x-coordinate of p is x = 6.

For y, there are two vertices at y = 9 and one at y = 7, hence the y-coordinate of p is y = 7.

Then, the coordinates of p are (6,7).

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The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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The quadratic formula is used to find the solution of quadratic functions.

Given any quadratic function in standard form:

Where

a is the coefficient of the quadratic term

b is the coefficient of the x-term

c is the constant of the quadratic function

The quadratic formula has the following shape:

Answer:

The calculation of the area of the triangle is incorrect

Step-by-step explanation:

To find the surface are of the net for the polyhedron, each area of the net will be calculated. There are 2 rectangles, 1 square, and 2 triangles that made up the net of the polyhedron.

To find out which calculation is incorrect, let's do our own calculation and compare with what Jada has:

Area of rectangle = lenght * width

Area of rectangle with lenght: 5 cm, width: 4cm

Area = 5*4 = 20 cm²

Area of square with side: 4 cm,

Area = 4² = 16 cm²

Area of rectangle with lenght: 4 cm, width: 3cm

\( Area = 4*3 = 12 cm^2 \)

The 2 triangles have the same dimensions:

Height = 3 cm

Base = 4 cm

Area of triangle = ½*base*height

Area of each triangle = ½*4*3 = 2*3 = 6 cm²

This is different from what Jada calculated. Jada's calculation for the area of each of the triangles is incorrect. The area should be 6 cm² not 12 cm².

Surface area of the net = 20 + 16 + 12 + 2(6) = 60 cm²

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

5 √ 10 + 2 √ 5 ft high

Step-by-step explanation:Explanation:

Let  h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20

h

=

20

sin

(

90

∘

−

18

∘

)

=

20

cos

18

∘

=

20

(

√

10

+

2

√

5

4

)

=

5

√

10

+

2

√

5

Answer:

N = 5

Step-by-step explanation:

6 (2n - 8) = 12

12n - 48 = 12

12n = 60

n = 5

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

5 = n (i think)

Step-by-step explanation:

6(2(5)- 8) = 12

6(10 - 8)= 12

6 (2) = 12

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

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The equation in slope intercept form is y= (-3/4)x + 95.

An equation can be represented by a linear function. The standard form for the linear equation is:

y= mx+b , for example, y=x+4.

Where: m= the slope.

It can be calculated for Δy/Δx.b= the constant term that represents the y-intercept. For the given example: m=1 and b=4.

It is important to inform that the standard form for the linear equation can be called slope-intercept form.

For writing a linear equation, you need two points. From the given graph, it is possible to extract some points, such as: (20,80), (60,50). Then, you should replace the known points in the slope-intercept form (y=mx+b).

For the point (20,80),  you can write  80=m*20+b. And for the point (60,50), you can write 50=m*60+b.

Thus, you have:80=20m+b   (1)50= 60m +b (2)For solving the previous system, you have to multiply the equation 1 by -1.

Thus,-80=-20m-b   (1)50= 60m +b (2)

After that, sum equations 1 and 2.-80+50 = -20m+60m-30=40mm=-30/40m=-3/4

Now, you have y= (-3/4)* x+b.

For finding coefficient b, you should use one of the given points. For example:

(20,80).

y= (-3/4)*x+b for (20,80)80

= -3/4*(20) +b 80

= - 60/4+bb=80 + 60/4b=(320+60)/4b=380/4b

=95

Therefore, the equation in slope intercept form is y= (-3/4)*x + 95.

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Answer:

Therefore, Eric earned $7

Step-by-step explanation:

Robert earned $10, which was 4 less than twice what Eric earned. How much money did Eric earn?

Let the number of money Eric earned = x

So we have:

$10 = 2× x - 4

10 = 2x - 4

Collect like terms

2x = 10 + 4

2x = 14

Divide both sides by 2

x = 14/2

x = $7

Therefore, Eric earned $7

Answer:

The answer is 21.4

Step-by-step explanation:

\(area = 3(2 \times 3) + 2 ( \frac{1}{2} \times 2 \times 1.7) \\ = 18 + 3.4 \\ = 21.4\)

Answer:

surface area = 21.4 cm^2

Step-by-step explanation:

both ends = 2x1.7x0.5x2 = 3.4

3 sides = 2x3x3 = 18

18 + 3.4 = 21.4 cm^2