It costs $6.45 to buy 5 songs on I-tunes. How much does it cost to buy 20 songs?

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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The probability that exactly 17 households own a DVD player is 0.0124.

Given:

The probability that a house hold in centercity owns a DVD player is = 53%.

So, p = 0.53

The probability that a house hold in centercity does not own a DVD player is = 100% - 53% = 47%

So, q = 0.47

The sample size is 22 households in the city.

So, n = 22

We have to calculate the probability that exactly 17 households own a DVD player.

So, r = 17

The formula to be used in binomial experiment is:

P (r) = \(\frac{n!}{r! (n -r)!}\) × \(p^{r}\) ×\(q^{n-r}\)

The probability that exactly 17 households own a DVD player will be,

= \(\frac{22!}{17! (22 - 17)!}\) × \(0.53^{17}\) ×\(0.43^{22-17}\)

= \(\frac{22!}{17! (5)!}\)× \(0.53^{17}\) ×\(0.43^{5}\)

= 0.0124

Therefore, the probability that exactly 17 households own a DVD player is 0.0124.

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The actual height of the tower is 160 feet.

Given that, a scale model of a tower is 24 inches.

The scale is 1.5 inches:10 feet.

We know that, 1 foot = 12 inches

So, the scale 1.5 inches : 120 inches.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

1.5/120 = 24/The actual height of the tower

1.5×The actual height of the tower = 24×120

The actual height of the tower=2880/1.5

= 1920 inches

In feet = 1920/12

= 160 feet

Therefore, the actual height of the tower is 160 feet.

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Step-by-step explanation:

The presence of a midpoint will result in congruent segment.

The type of segment that the presence of a midpoint will result in is called; Congruent Segments

Now, when we are talking about congruency, we are simply referring to the concept of equality.

Thus, when we say that two angles are congruent, it simply means they are equal.

Now, when we introduce a mid point to a line segment, what this does is to divide the line into two equal parts.

Equal segments are congruent and as such we can say that congruent segments are formed.

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Answer: 180≤23x+65

Step-by-step explanation:

p = phone

w = weeks

65 + 23w ≥ 180

If you need it to be solved, the minimum number of weeks goes as shown:

65 + 23w ≥ 180

-65              -65

23w ≥ 115

/23       /23

w ≥ 5

So, the minimum number of weeks that is required is 5.

Answer:

s=3k+3j+5/s=3(j+k)+5

Step-by-step explanation:

3 x k=3k

3 x j=3j

bonus question:5

total: 3k+3j+5

If you factorize that then you would get 3(j+k)+5

The equation that represents the situation is s = 3(j + k) + 5.

the correct option is C.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

In a trivia game, each correct answer in rounds 1 and 2 is worth 3 points.

The bonus question is worth 5 points.

Lily's team had j correct answers in round 1 and k correct answers in round 2.

They answered the bonus question correctly.

That means,

s = 3j + 3k + 5

s = 3(j + k) + 5

Therefore, the equation is s = 3(j + k) + 5.

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Answer:

x = 99,53633682

Step-by-step explanation:

sin(34) = x/178

x = sin(34)×178

x = 99,53633682

Answer:

vv

Step-by-step explanation:

vcsdg bbhhddhhhgfv vghjfdy

Answer:

1) answer is 7

2) answer is 8

Answer:

I'm not exactly sure, but I'm gonna say a reflection across line y = x because if you draw a diagonal line between the y and the x axis going through the top right and bottom left quadrants, it would be a reflection across that line.

pls vote brainliest

Answer:

GH

Step-by-step explanation:

Answer:

Bc=Gh since they correspond meaning same side equal

Answer its quite easy i hope this will be right

1) 4.1833

2) 5.29+2.366=7.656

Answer:

500*2%=10

500+10=510

Step-by-step explanation:

The solution of the differential equation y = -2e⁴ˣxcos(x) which satisfies the following initial conditions are as follow,

y(0) = 0 , y'(0) = -2 , y''(0) = 0 ,y'''(0) = 6

To find the initial conditions satisfied by the given solution,

Differentiate the equation successively and evaluate the derivatives at x = 0.

The solution of the differential equation is,

y = -2e⁴ˣxcos(x)

First, let's find the derivatives of y with respect to x,

y' = d/dx(-2e⁴ˣxcos(x))

= -2e⁴ˣ(cos(x) - 4xsin(x))

y'' = d/dx(-2e⁴ˣ(cos(x) - 4xsin(x)))

= -2e⁴ˣ(-3sin(x) - 8xcos(x) + 4xsin(x))

y''' = d/dx(-2e⁴ˣ(-3sin(x) - 8xcos(x) + 4xsin(x)))

= -2e⁴ˣ(-3cos(x) - 3sin(x) - 8cos(x) + 4sin(x) + 4sin(x))

Now, let's evaluate the derivatives at x = 0 and substitute the given initial conditions,

y(0) = -2e⁴⁽⁰⁾ × 0 × cos(0)

      = 0

Since y(0) = 0, the given initial condition is satisfied.

y'(0) = -2e⁴⁽⁰⁾(cos(0) - 0 × sin(0))

       = -2

Since y'(0) = -2, the given initial condition is satisfied.

y''(0) = -2e⁴⁽⁰⁾(-3sin(0) - 0 × cos(0) + 0 × sin(0))

        = 0

Since y''(0) = 0, the given initial condition is satisfied.

To find y'''(0), we evaluate the expression,

y'''(0) = -2e⁴⁽⁰⁾(-3cos(0) - 3sin(0) - 0 × cos(0) + 0 × sin(0) + 0 × sin(0))

        = -2(-3)

        = 6

Therefore, the solution of the differential equation y = -2e⁴ˣxcos(x) satisfies the following initial conditions,

y(0) = 0 , y'(0) = -2 , y''(0) = 0 ,y'''(0) = 6

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The given question is incomplete, I answer the question in general according to my knowledge:

Suppose that a fourth order differential equation has a solution y=−2e^(4x)xcos(x) Find the initial conditions that this solution satisfies. y(0)=0 y'(0)=-2 y''(0)=-16 y'''(0)=?

Answer:

An isosceles triangle has two side lengths the same and one different.

Step-by-step explanation:

(1.25 x 12)/ 0.6=

25

Hope this helps :)

To show the formation of a sulfide ion from a neutral sulfur atom, we need to add two electrons to the sulfur atom, as sulfide ion has a charge of -2. Therefore, the equation for this process is: S + 2e- → S2-

In this equation, S represents the neutral sulfur atom, while S2- represents the sulfide ion that is formed after the addition of two electrons. This reaction is a reduction reaction, as sulfur is gaining two electrons to form a negatively charged ion.
In summary, the equation S + 2e- → S2- shows the formation of the sulfide ion from a neutral sulfur atom by adding two electrons to it. This equation highlights the importance of electron transfer in chemical reactions and how it can lead to the formation of new compounds.

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Answer:

9 cups of sugar

Step-by-step explanation:

you do 6/2=3 and then 3X3=9

Answer:

e) none of these​

Explanation:

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

Answer:

\((-2;-6)\)

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

\(\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.\)

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

\(4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6\)

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

\(5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2\)

Answer:

10+ 7 is equal to 17 cube is the answer

Answer: 3.375oz

Explanation

Given

• Reduce his daily soda intake by ​25%.

• Currently, he drinks 4.5oz. cans of soda per day.

• Ounces of soda can the patient drink if he reduces his intake by 25​%?

We have to build a relation, where 4.5 is our 100% and x is 75% (100 - 25 = 75%):

Solving for x:

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

The values in b are compared with the true volume. And we conclude that b is precise and accurate.

Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.

First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.

From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.

From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.

From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.

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The approximate chance of diurnal phone calls numbering between 38 and 56 is roughly 68%.

Since the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped, we can use the empirical rule to estimate the chance of diurnal phone calls numbering between 38 and 56.

The empirical rule countries that for a bell-shaped distribution

roughly 68% of the data falls within one standard divagation of the mean roughly 95% of the data falls within two standard diversions of the mean roughly 99.7% of the data falls within three standard diversions of the mean

To use the empirical rule, we first need to calculate the z- scores for the values of 38 and 56, using the formula

z = ( x- mean)/ standard divagation

For x = 38, we have

z = ( 38- 47)/ 9 = -1

For x = 56, we have

z = ( 56- 47)/ 9 = 1

This means that the values of 38 and 56 are one standard divagation below and one standard divagation above the mean, independently.

Since roughly 68% of the data falls within one standard divagation of the mean, we can estimate that roughly 68% of the diurnal phone calls answered by the receptionists fall between 38 and 56.

thus, the approximate chance of diurnal phone calls numbering between 38 and 56 is roughly 68%.

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Answer:

Step-by-step explanation:

The area of the quilt is:

The area of each block:

Number of blocks:

Correct choice is [A]

Dimensions of the quilt excluding borders on each side:

Area of the quilt:

Area of each block with side 9 in:

Number of blocks:

Correct choice is [D]

Answer:

70

Step-by-step explanation:

63+47=110

180-110=70

Answer: x= 70

Step-by-step explanation:

A triangle=180 degrees

We know 2 of these degrees

Add them together

63+47=110

Now subtract 110 from 180

180-110=70 degrees

Mia spend 1/4 of her money on a ticket, he has 30 pound left. Therefore the ticket was 120 pound.

Pound:

The sterling  is the currency of the United Kingdom and nine associated territories. The pound (symbol: £) is the primary unit of sterling, and the word "pound" is also commonly used to refer to British currency, and in international contexts is often British It is called pound or pound sterling.

The sterling is the world's oldest currency still in use and has been in continuous use since its creation. It is currently the fourth most traded currency in the foreign exchange market, after the US dollar, the euro and the Japanese yen. Together, these three currencies and the renminbi form a basket of currencies for calculating the value of the IMF's Special Drawing Rights. As of late 2022, the pound is the world's reserve currency and he is also the fourth most held reserve currency.

According to the question:

Since, 1/4 of her money is spent on the tickets.

Then , there left 3/4 part of money.

Therefore,

So she spent a total of 1/4 of her money in the tickets, and therefore had 3/4 of her money left at the end. So 3/4 of the money she started with is 30 pound.

Therefore she started with 30 * 4 = 120 pound.

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