Suppose that the mean score for a critical reading test is 580 with a population standard deviation of 115 points. What is the probability that a random sample of 500 students will have a mean score of more than 590? Less than 575? Solve using Excel.

Answer: 18 dollars. edit: 18 dollars 3 plus the 15.

Step-by-step explanation:

Multiply the cost 15 by the percentage you want to tip in this example: 15 times .20

Answer:

  5.26% profit

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

 A$ 1/(NRs 77.02) = x /1,50,000

 x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)

If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

 (NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

 x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24

The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

 (1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

__

Additional comment

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

The difference between 42 and 23 is 19.

What is the standard subtraction method?

It is the process of finding the difference of 2 numbers. The symbol used is: - (minus). In this process, we take a number and reduce it to a smaller number. That is, we take away one number from another. Click here for some problem sums on Addition and Subtraction.

To find the product 42 - 23, we can use the standard subtraction method as shown below:

   4   2  

 - 2   3  

   -------

   1   9

Start by subtracting the one's place digits: 2 - 3 = -1. Since we cannot have a negative digit in the one's place, we need to borrow from the tens place.

We regroup the 4 into 3 tens and add 10 ones to the ones place, making the ones place digit 12.

   3   2  

 - 2   3  

  -------

   1   9

Now we can subtract the one's place digits: 12 - 3 = 9. Then, we can subtract the tens place digits: 3 - 2 = 1.

Therefore, the difference between 42 and 23 is 19.

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To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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In general, a geometric sequence with first term a and common ratio r has terms a, ar, ar², ar³, etc.

First geometric sequence: 2, 10, 50, 250

Second geometric sequence: 4, 16, 64, 256

i hope this helped! :D

Answer:

She left the museum at 1:11pm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

In a math equation, the comparable symbol (=) is used to denote equality between two propositions. It is demonstrated that by using mathematical formulas, which have been expressions of reality, different numerical factors can be compared. The equal sign, for instance, splits the integer 12 or the equation y + 6 = 12 to 2 different halves. It is possible to determine how many characters each side of such a symbol has. It's common for symbols to have conflicting meanings.

Here,

Given :

=> g -3 = 9

To find the value of g :

=> g = 9 + 3

=> g = 12

Thus , value of g is 12.

Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

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1 inch= 15 miles

the distance between the cities

1 in/ 15 miles = 6 in/ x miles

applying cross products:

1 * x = 15 *6

x= 90

so, the distance betwixt the cities is 90 miles.

The triangle EFG's exterior angle to G is 95.6 degrees.

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle. The theorem can be used to find the measure of an unknown angle in a triangle.

So, Using Exterior angle theorem

We can say that

m∠E = 69.7°+ m∠F = 25.9° = exterior angle to ∠G

So,

exterior angle to ∠G = 69.7+25.9=95.6°

Therefore we can say that the Exterior angle to G of the triangle EFG is 95.6°.

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The answer is , we can not conclude the convergence or divergence of this series using the alternating series test.

Given series is:

\(\[\sum_{n=1}^{\infty} (-1)^{n-1} \frac{2}{9^n}\]\)

Let's apply the Alternating series test:

For the series: \(\[\sum_{n=1}^{\infty} (-1)^{n-1} b_n\]\)

If the following two conditions hold good:

1.\(b_n \geq 0\) for all n

2.\(\{b_n\}\) is decreasing for all n.

Then the alternating series: \(\[\sum_{n=1}^{\infty} (-1)^{n-1} b_n\]\)Converges.

So here,\(b_n = \frac{2}{9^n}\) And \(b_n \geq 0\) for all n.

Now, let's check the second condition.

\(\{b_n\}\) is decreasing for all n \(\begin{aligned} b_n \geq b_{n+1} \\\\ \frac{2}{9^n} \geq \frac{2}{9^{n+1}} \\\\ \frac{1}{9} \geq \frac{1}{2} \end{aligned}\)

This is not true for all n.

Therefore, we can not conclude the convergence or divergence of this series using the alternating series test.

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Answer:

180 i think if you are not sure with my ans then just don't use it k bey

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

  9 |08|

       72

   -    0

        72

-

         72

            00

Answer:

1. -7

2. -31

3. 122

Step-by-step explanation:

Those are your answers.

The given equation is y = 2e^(3x). Find the point of tangency to this curve, which is parallel to the line −6x+y = 2. Please include these terms.

The point of tangency to the curve y = 2e^(3x) that is parallel to the line −6x + y

= 2 is at the point whose coordinates are (-1/18, 4/e). The required point of tangency to the curve is (-1/18, 4/e).  curve is y = 2e^(3x)Differentiating the curve with respect to x, we gety'

= 6e^(3x) ------ (1)The slope of the tangent to the curve at any point is given by equation (1).As the line −6x+y

= 2 is parallel to the tangent at the point of contact, therefore, the slope of the tangent and the given line will be equal. Slope of the line −6x+y

= 2 is 6.

Therefore, slope of the tangent to the curve at the point of tangency = 6 Equating this with equation (1), we get6e^(3x)

= 6or e^(3x)

= 1or 3x

= ln 1or x

= 0Substituting x

= 0 in the given curve, we gety

= 2e^(3*0)or y

= 2e^0or y

= 2The coordinates of the point of tangency are (0, 2).The equation of the tangent to the curve at the point (0, 2) is y

= y1 + m(x − x1)y = 2 + 6(x − 0)y

= 6x + 2or 6x−y

= −2The required point of tangency to the curve is (-1/18, 4/e).Therefore, The point of tangency to the curve y = 2e^(3x) that is parallel to the line −6x + y

= 2 is at the point whose coordinates are (-1/18, 4/e).

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(150 + x) + 130 >= 150 is the inequality equation for the state legislature, which consists of senators and members.

Mathematics uses the term inequality to describe a link between two expressions or values that is not equal. Thus, imbalance is the cause of inequality. The relationship between two non-equal values in mathematics is established by an inequality. Egality and inequality are not synonymous. Whenever two values are not equal, use the not equal sign (). Various inequalities are used to compare values, whether they are small or large. You can eliminate a lot of simple inequalities by modifying both sides until only the variables are left. Inequality is brought on by a number of things, though: On both sides, subtract or multiply negative values. Alternate between left and right.

given

Number of senators: 130

Number of representatives: 150

more representatives than senators

(150 + x) + 130 >= 150 is the inequality equation for the state legislature, which consists of senators and members.

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Using Tap working problem solving,

when faucet and drain working together, the time to fill up the tub is 60 minutes.

We have the following information about question,

The time taken by faucet to fill up the tub

= 15 minutes

The time taken by drain to empty the tub

= 20 minutes

we have to calculate the time in which the tub is fully fill the tube with drain open.

Rate of fill up the tub by faucet = 1/15 i.e 1/15 th of tub in one minute .

Rate of empty the tub by drain = 1/20 i.e 1/20 th of tub in one minute.

In one minute both are working together and will fill the tub = 1/15 - 1/20 = 1/60 i.e 1/60 th of tub

Since, it takes one minute to fill 1/60th of the tub and it will take 60 minutes to fill the tub.

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Answer:

i think c

Step-by-step explanation:

Answer:

The dimensions of the helmet box are as follows

Width is 9 inches

Length is 9 inches

Height is 8 inches

The dimensions of the shipping box ordered are as follows;

Width is 11 inches

Length is 13 inches

Height is 8 inches

Step-by-step explanation:

8(n + 2)(n + 4) = 1144

8·n² + 48·n + 64 = 1144

8·n² + 48·n - 1080 = 0

8×(n - 9)×(n + 15) = 0

∴ n = 9 or -15 inches

The dimensions of the helmet box are as follows

Width = 9 in.

Length = 9 in.

Height = 8 in.

The dimensions of the shipping box ordered are as follows;

Width = 9 + 2 = 11 in.

Length = 9 + 4 = 13 in.

Height = 8 in.

Answer:

8 inches x 11 inches x 13 inches

Step-by-step explanation:

I got correct on edmentum

Answer:

d ≥ 50

Step-by-step explanation:

To receive the discount, you must spend at least $50, which can be represented by the inequality d ≥ 50. This inequality means that the amount you must spend (d) is greater than or equal to $50. If you spend more than $50, you will receive the discount. If you spend less than $50, you will not receive the discount.

Answer:

64.33 miles

Step-by-step explanation:

Method 1: Divide

Method 2: Proportions

-Chetan K

Answer:

a. 40%

b. 7.5%

Step-by-step explanation:

a. 60/ 150 x 100

b. 4.5/ 60 x 100

Answer:

true

Step-by-step explanation:

if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.

Hi

P and Q only intersect for 2 as 2 is common for P and Q . So P U Q = 2

For the diagram :

One big circle name U with 1 on the

Far corner left and 9 on the far right corner.

Then on the left, a circle within circle U with the number Of P

Same with Q on the right.

But P and Q must intersect on number 2 as 2 is in both circles.

ps : nothing oblidge you to set the number on mathematical order. Of it'esasier to do the circles, do it whatever you like as long as you respect what is said.

1. The probability that the average length of a bundle of steel rods chosen at random is less than 124.5 cm.

P(M < 124.5) = 0.0603.

2. The probability that a bundle of steel rods chosen at random has an average length that falls between 168.3 cm and 169 cm.

P(M 169.3 cm 168.3 cm) = 0.7724

Given that,

In this question we have 2 question.

1. Steel rods are produced by a firm. The lengths of the steel rods have a mean of 125.2 cm and a standard deviation of 2.3 cm, and they are regularly distributed. 25 steel rods are packaged together for shipping.

We have to determine the probability that the average length of a bundle of steel rods chosen at random is less than 124.5 cm.

P(M < 124.5-cm) =

We know that,

Mean =μ= 125.2

Standard deviation=σ=2.3

n=25

P(M<124.5)= P[(M-μ)/σ< 124.5-125.2/0.46]

=P(z<-1.522)

Using the z-table,

=0.0603

Therefore, The probability that the average length of a bundle of steel rods chosen at random is less than 124.5 cm.

P(M < 124.5) = 0.0603.

2. Steel rods are produced by a firm. Steel rod lengths have a mean of 168.5 cm and a standard deviation of 1.2 cm, and they are regularly distributed. 24 steel rods are packaged together for shipping.

We have to determine the probability that a bundle of steel rods chosen at random has an average length that falls between 168.3 cm and 169 cm.

P(M 169.3 cm 168.3 cm) =

We know that,

Mean =μ= 168.5

Standard deviation=σ=1.2

n=24

P(168.3<M<169)= P[168.3-168.5/0.2449<(M-μ)/σ< 169-168.5/0.2449]

=P(-0.817<z<2.042)

=P(z<2.042)-P(z<-0.817)

Using the z-table,

=0.9794-0.2070

=0.7724

Therefore, the probability that a bundle of steel rods chosen at random has an average length that falls between 168.3 cm and 169 cm.

P(M 169.3 cm 168.3 cm) = 0.7724

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Answer:

subject?

Step-by-step explanation: