Test the claim that for the adult population of one town, the mean annual salary is given by μ = $30,000. Sample data are summarized as n = 17, x = $22,298, and s = $14,200. Use a significance level of α = 0. 5. Use the t test for the hypothesis of the mean

25

Hi there !

6×7 - 3²×9 + 4³ =

  1. raise the numbers to power

= 6×7 - 9×9 + 64

  2. we perform the multiplications

= 42 - 81 + 64

  3.  we perform addition and subtraction

= (42 + 64) - 81

= 106 - 81

= 25

Good luck !

Answer:

-17

Step-by-step explanation:

-3^2×9+4^3

-3^2×3^2+64

-3^4+64

-81+64

-17

Answer:

7

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The statement "Almost 25% of the weights for brand B are less than the lowest weight for brand A" is not true concerning the comparison of the bag weights for the two brands, 1st option.

Inequalities are mathematical expressions in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In comparison to Brand B's box plot display, Brand A's rectangular box, as well as the length of the whiskers, are shorter. As a result, Brand A's bag weights are less variable than Brand B's bag weights.

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The full question is:

Which of the following statements is not true concerning the comparison of the bag weights for the two brands?

Almost 25% of the weights for brand B are less than the lowest weight for brand A.

About 50% of the weights for brand A are within the top 25% of the weights for brand B.

More than 75% of the weights for brand A are within the top 50% of the weights for brand B.

More than 75% of the weights for brand A are higher than the top 25% of the weights for brand B.

Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

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Answer:

(- 10.5, 0 ) and )0, - 21 )

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

0 = - 2x - 21 ( add 21 to both sides )

21 = - 2x ( divide both sides by - 2 )

- 10.5 = x

then x- intercept = (- 10.5, 0 )

to find the y- intercept let x = 0 in the equation and solve for y

y = - 2(0) - 21 = 0 - 21 = - 21

y- intercept = (0, - 21 )

Answer:

Step-by-step explanation:

A is the answer

hope that help

mark me brill !!!

Answer:

m= 4.5 miles

Step-by-step explanation:

Let the number of miles Evelyn can run be m and can be modeled by the equation below

m= kx

Where x Is the Minutes

When m= 3

x= 40

3= k40

k= 3/40

If x= 60

m=3/40(60)

m = (60*3)/40

m= 180/40

m= 4.5 miles

Answer:

v = 130

Step-by-step explanation:

substitute the given values for u, a and t into the equation

v = 32 + ( 9.8 × 10) = 32 + 98 = 130

3) $1,899.81

4) $1,899.26

6) $17,150

Step-by-step explanation:

Simplify the equation to find the value of a.

Subtract 4a from both sides:

\( - 3a - 15 = - 3\)

Add 15 to both sides:

\( - 3a = 12\)

Divide each side by -3:

\(a = - 4\)

To yield $26,000 in the future, compounded semiannually at an interest rate of 6%, a lump sum investment needs to be made today. The correct amount to invest can be calculated using the present value formula.

The present value formula can be used to calculate the amount that should be invested today to achieve a specific future value. The formula is given by:

PV = FV / (1 + r/n)^(n*t)

In this case, the future value (FV) is $26,000, the interest rate (r) is 6%, and the compounding is semiannually (n = 2). We need to solve for the present value (PV).

Using the formula and substituting the given values:

PV = 26,000 / \((1 + 0.06/2)^(2*1)\)

PV = 26,000 / \((1.03)^2\)

PV = 26,000 / 1.0609

PV ≈ $24,490.92

Therefore, the correct lump sum to invest today, at 6% compounded semiannually, to yield $26,000 in the future is approximately $24,490.92.

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Answer:

4 years and 2 months

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

Given:

Substitute the given values into the formula and solve for t:

\(\implies \sf 1000 = 500(1 + 0.24t)\)

\(\implies \sf \dfrac{1000}{500}=(1 + 0.24t)\)

\(\implies \sf 2=1 + 0.24t\)

\(\implies \sf 1 = 0.24t\)

\(\implies \sf t=\dfrac{1}{0.24}\)

\(\implies \sf t=4 \frac{1}{6} \:years\)

\(\implies \sf t=4\:years\:2\:months\)

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.

The equation for the paraboloid z=x² y² in spherical coordinates is ρ⁴ sin²(φ) cos(θ).

To convert from rectangular to spherical coordinates, we use the following equations:

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Substituting  z= x² y² into the equation above and simplifying, we get:

ρ cos(φ) = (ρ sin(φ) cos(θ))² (ρ sin(φ) sin(θ))²

ρ³ cos(φ) = ρ⁴ sin²(φ) cos²(θ) sin²(θ)

ρ = ρ⁴ sin²(φ) cos²(θ) sin^2(θ)/cos(φ)

ρ = ρ⁴ sin²(φ) cos(θ)

Finally, we can solve for ρ to get the equation in spherical coordinates as:

\(\rho = \left(\frac{z}{\sin^2(\varphi)}\right)^{\frac{1}{4}}\)

Substituting z=x² y², we get:

\(\rho = \left(\frac{x^2 y^2}{\sin^2\phi}\right)^{\frac{1}{4}}\)

\(\begin{equation}\rho = \left(\frac{\rho^4 \sin^2(\varphi) \cos^2(\theta) \sin^2(\theta)}{\sin^2(\varphi)}\right)^{\frac{1}{4}}\end{equation}\)

\(\begin{equation}\rho = \rho^{\frac{4}{4}} \sin{\phi} \cos{\theta}\end{equation}\)

ρ = ρ sin(φ) cos(θ)

Thus, the equation for the paraboloid z=x² y²  in spherical coordinates is ρ⁴ sin²(φ) cos(θ).

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The destroyer Moon’s distance from the port at the Isle of Wight is 140.2 miles.

Bearing can be used to determine the position and distance of a given object to a reference point. Thus, the destroyers Moon's distance from Port is 140.2 mi. To determine the exact position or location of an object, bearing as a topic can be used. Let the distance of the Moon from the Port at Isle of Wright be represented by x.

From the Cosine rule, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2abCos C\(x^{2}\) = \((44.7)^{2}\) + \((141.1)^{2}\) - 2(944.7*141.1)Cos \(69^{o}\)    

= 1998.09 + 19909.21 - (6307.17*0.3584)    

= 21907.3 - 2260.49    

= 19646.81

x = \(\sqrt{19646.81}\)  

= 140.1671

x = 140.2

Therefore, the destroyers Moon's distance from Port at Isle of Wright is 140.2 mi.

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Answer:

I can’t see the question answers

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

i. 818.18

ii. 940.9

Step-by-step explanation:

SP = 900

or, CP + 10% of CP = 900

or, CP + 10/100 × CP = 900

or, 110CP = 90000

or, CP = 90000/110

CP = 818.18

for profit= 15%

SP = 9000/11 + 15% of 9000/11

= 940.9

The greatest possible number of intersection points for four circles of different sizes is 12.

The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.

When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.

For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.

For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.

The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.

Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.

Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.

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To evaluate the limit lim (n→∞) Σ (k=1 to n) √(2^k), we recognize it as the limit of a Riemann sum.  Let's consider the sum Σ (k=1 to n) √(2^k). We can rewrite it as:

Σ (k=1 to n) 2^(k/2)

This is a geometric series with a common ratio of 2^(1/2). The first term is 2^(1/2) and the last term is 2^(n/2). The sum of a geometric series is given by the formula: S = (a * (1 - r^n)) / (1 - r)

In this case, a = 2^(1/2) and r = 2^(1/2). Plugging these values into the formula, we get: S = (2^(1/2) * (1 - (2^(1/2))^n)) / (1 - 2^(1/2))

Taking the limit as n approaches infinity, we can observe that (2^(1/2))^n approaches infinity, and thus the term (1 - (2^(1/2))^n) approaches 1.

So, the limit of the sum Σ (k=1 to n) √(2^k) as n approaches infinity is given by:

lim (n→∞) S = (2^(1/2) * 1) / (1 - 2^(1/2))

Simplifying further, we have:

lim (n→∞) S = 2^(1/2) / (1 - 2^(1/2))

Therefore, the limit of the given Riemann sum is 2^(1/2) / (1 - 2^(1/2)).

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The compound interest formula is given by the formula

Where A = Amount after t years

r = rate = 6

t = time = 5

p = $ 25000

For the first year

For the second year

P=26500+25000=51500

For the third year

P=54590 + 25000=79590

For the fourth year

P=84365.4 + 25000=109365.4

For the fifth year

P= 115927.324 + 25000 =140927.324

At the start of the 6th year

P= 149382.962+25000= 174382.96

Answer = $174382.96

Option B is correct

Answer:

-1/2

Step-by-step explanation:

Equation is put in slope intercept form:

y = mx + b

Where m = slope

-1/2 takes the place of m meaning that the slope is -1/2

Using linear function concepts, it is found that the slope of the line is of:

\(-\frac{1}{2}\)

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, the equation is:

\(y = -\frac{1}{2}x + \frac{1}[4}\)

Thus the slope is of \(m = -\frac{1}{2}\).

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Answer:

9

Step-by-step explanation:

First, evaluate the given function at x=3 to find the amount of bacteria left after 3 seconds:

There are 750 bacteria left after 3 seconds. Since the initial amount of bacteria was 6000, subtract 750 from 6000 to find the amount of bacteria that has been removed:

Therefore, the amount of bacteria that has been removed after 3 seconds is 5250.

The correct choice is Option D) 5250.

Answer:

W(2) = 5

Step-by-step explanation:

Because when you look at the graph, the y value is 5 when the x value is 2.

Answer:

w(2) = 5

Step-by-step explanation:

by using rise over run to find the slope easily, you get a slope of 4 and an equation of w(x) = 4x - 3, -3 being the y-intercept

to calculate w(2):

w(2) = 4(2) - 3

w(2) = 8 - 3

w(2) = 5

or you could just look at when y is 2 and see that the corresponding x value is 5 but i wanted to provide a longer explanation in case :)

The probability of all 4 computers being good was 45.62%, the probability of 3 being good and 1 being defective was 4.58%, and the probability of 2 being good and 2 being defective was 2.29%.

1. The probability that all 4 are good is 90/100 x 89/99 x 88/98 x 87/97 = 0.4562, or 45.62%.

2. The probability that 3 are good and 1 is defective is 90/100 x 89/99 x 88/98 x 10/97 = 0.0458, or 4.58%.

3. The probability that 2 are good and 2 are defective is 90/100 x 89/99 x 10/98 x 10/97 = 0.0229, or 2.29%.

For the first problem, we can use the formula P(A) = n(A)/n(T), which is the probability of an event A occurring. In this case, P(A) = n(A)/n(T) = 4/100 = 0.04. This gives us the result of 0.4562, or 45.62%.

For the second problem, we use the same formula P(A) = n(A)/n(T), which is the probability of an event A occurring. In this case, P(A) = n(A)/n(T) = 3/100 = 0.03. This gives us the result of 0.0458, or 4.58%.

For the third problem, we use the same formula P(A) = n(A)/n(T), which is the probability of an event A occurring. In this case, P(A) = n(A)/n(T) = 2/100 = 0.02 ,then the probability of the next event, which is 89/99, then the probability of the next event, which is 10/98, then the probability of the last event, which is 10/97. This gives us the result of 0.0229, or 2.29%.

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Answer:

height = 12 feet

Step-by-step explanation:

r (radius of circle) = 7 ft

pi = 3.14 (in this context)

v = 1/3 * \(πr^{2}\) (or pi * radius squared) * h

r squared = 49 ft

v = 1/3 3.14 * 49 * h

v = 1/3 153.86 * h

3v = 153.86 * h

v = 196π

v = 615.44

3v = 1,846.32

1,846.32 = 153.86 * h

h = 12 ft.

Answer:

G

Step-by-step explanation:

vertex formula = a(x-h)^2 + k

vertex is (h, k) so (-1, -4) means

y = a(x+1)^2-4

passes through (1, 8) so when x = 1 and y = 8

8 = a(1+1)^2-4 = 4a - 4

4a = 4

a = 1

Answer: 10 ft

Step-by-step explanation:

\(\frac{5in}{16ft} = \frac{3in}{x}\)

Cross multiply

5x = 48

x = 9.6

9.6 ft rounded to the nearest foot is 10

Answer:

1/2

Step-by-step explanation:

When you find the sine of an angle, it is the opposite side / hypotenuse. This means that the hypotenuse of this triangle is 2 and the side opposite to 60° is √3. This means that the side adjacent to 60° is 1 (Pythagorean Theorem). When you find the cosine of an angle, it is the adjacent side / hypotenuse, which in this case will be 1 / 2. Hope this helps!

Answer:

1/2.

Step-by-step explanation:

Sine = opposite side / hypotenuse.

The side opposite 60 degrees has length√3 and the hypotenuse = 2.

By Pythagoras the side adjacent to the angle 60 = √( 2^2 - 3)

= 1 unit.

So cos 60 = adjacent / hypotenuse = 1/2.