The ratio of paperback books to hardcover books in a bookstore display is 8:5. If there are 30 hardcover books in the display, how many paperback books are in the display?

A 28
B 33
C 48
D 60

Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation:

Answer:

i think it would be B

Step-by-step explanation:

The distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.

The distribution of X, representing the IQ of an individual from the ruling species on the faraway planet, is a normal distribution with a mean (μ) of 106 and a standard deviation (σ) of 18. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.

In this distribution, the majority of IQ values will cluster around the mean of 106. The standard deviation of 18 indicates the average amount of variation or dispersion from the mean. The normal distribution is symmetric, which means that the probabilities of IQ values being above or below the mean are equal.

The shape of the normal distribution is bell-shaped, with the highest point being at the mean. As we move away from the mean, the probability of observing extreme values decreases. The spread of the distribution is determined by the standard deviation, where a larger standard deviation indicates a wider spread of IQ values.

the distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet.

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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual.  What is the distribution of X? X ~ N( 106 , 18 )  

Answer:

30000 + 6000 + 400 + 15

Step-by-step explanation:

The new temperature must be 894 K to maintain constant pressure if the original temperature is 298

When 15.0 liters of neon is allowed to expand to 45.0 liters, the new temperature must be 894 K to maintain constant pressure if the original temperature is 298 K.How to solve the problem?

We know that the initial volume of neon is 15 L and the final volume of neon is 45 L.From Charles's Law, we know that at constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature. Therefore,V1 / T1 = V2 / T2

Where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature.Rewriting the formula to solve for T2, we get:T2 = (V2 / V1) * T1Substitute the given values,T2 = (45.0 / 15.0) * 298 KT2 = 894 K

Therefore, the new temperature must be 894 K to maintain constant pressure if the original temperature is 298 K.

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The system of equation line 1: y=-2x+4 and line 2: y=-2x has no solution.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the system of equation as;

line 1: y=-2x+4

line 2: y=-2x

Here we can put x = 1

Then;

y= -2(1) + 4

y = -2 + 4

y = 2

-2x=-2x+4

x = 0

Therefore, we can see that the system of equation has no solution.

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Answer:

tan 45° = 1

Step-by-step explanation:

45° is a Special angle,so tan 45° = 1

or it's like the identity of tan

tan 45= sin45° ÷ cos45°

=√2/2 ÷ √2/2

=1

Answer:

23.40

Step-by-step explanation:

Find 60% of 39, it's 23.4

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

AB = 13.964 cm

Step-by-step explanation:

BF² = 6² + 13²

BF² = 36 + 169

BF² = 205

AB² = AF² - BF²

AB² = 20² - 205

AB² = 400 - 205 = 195

AB = 13.964 cm

To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.

1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%

3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:

a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.

b) Cool colors (G, B, I, or V): There are 4 cool colors.

c) The letter A: There is 1 A in "INDIANA."

Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700

Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:

a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.

b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.

c) Consonants in "INDIANA": There are 4 consonants.

Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500

Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)

3. Either chooses a number divisible by 7 or 8, any color, and a vowel:

a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.

b) Any color: There are 7 possible colors.

c) Vowels in "INDIANA": There are 3 vowels.

Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100

Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:

a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.

b) Blue or green colors: There are 2 possible colors (blue or green).

c) L or N in "INDIANA": There are 2 letters (L or N).

Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400

Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

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Answer:

X = -2

Step-by-step explanation:

To find slope, it's

\(m = \frac{y2 - y1}{x2 - x1} \)

You're given two points

First one being (-9, -4) and second one being (x, 7). Both are these are in (x,y) form.

Let's plug it in.

\( \frac{11}{7} = \frac{7 - ( - 4)}{x - ( - 9)} \)

^ Solving that, we get...

\( \frac{11}{7} = \frac{11}{x + 9} \)

And that's because 7 minus a negative 4 means 7 + 4. Two negatives make a positive.

Now the top is good. 11 = 11.

The bottom says 7 = x + 9

If we were to subtract 9 from both sides... 7-9= -2, so

-2 = x

Hope this helps

Answer:

dont know... its really haaaaaaard :(

Step-by-step explanation:

With regard to a​ regression-based forecast, the standard error of the estimate gives a measure of option (C) the variability around the regression line

The standard error of the estimate in a regression-based forecast is a measure of the variability of the actual data points around the predicted values of the regression line.

It tells us how much the actual data points are likely to deviate from the predicted values, and provides a measure of the accuracy of the forecast. It is not related to the time required to derive the forecast equation, the maximum error of the forecast, or the time period for which the forecast is valid.

Therefore, the correct option is (C) The variability around the regression line.

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The give question is incomplete, the complete question is:

With regard to a​ regression-based forecast, the standard error of the estimate gives a measure of:

A. the time required to derive the forecast equation.

B. the maximum error of the forecast.

C. the variability around the regression line.

D. the time period for which the forecast is valid.

Answer:

Step-by-step explanation:

Let x be the number of tiles to buy for same cost in both store.

18+0.69 · n = 1.29 · n,

1.29n -0.69n =18 or

0.6n =18

n =18/0.6=30

Therefore, 30 tiles need to buy for same cost in both store.[Ans]

Answer:

I think you need to cross multiply

Step-by-step explanation:

(27/64) to the power of 2/3

(3/4)²

9/16

Hope it helps you

Answer:

9/16

Step-by-step explanation:

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

\(x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12\)

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

\(x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12\)

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

\(x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12\)

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

\((0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12\)

12 does equal 12, so (0, -4/3) makes the equation true.

Answer: x1= -3, x2=3

Step-by-step explanation:

3xlxl=8+1

3xlxl=9

lxl=3

x=3

=-3

solution

x1= -3, x2=3

Answer:

he has has 10 quarters and 30 dimes

Step-by-step explanation:

The Length of patio is (32x+8)/4 feet.

It is a structure made adjacent to a house with concrete or gravel. Generally, patio is rectangle or square in shape. An entertainment space that is close to a home, frequently paved, and designed specifically for outdoor dining. 

We can calculate the length from a given value of area or perimeter.A typical living room patio measures roughly 16 by 18 feet. Make sure there is enough space for traffic to move around so that your guests can fit. Allowing a 3-foot clearance around furniture is a good general rule.

In the above question. perimeter of square patio = (32x +8) feet is given.

let, the length of square = a feet

we know, perimeter of square = 4 x length

(32x+8) = 4a

length, a= (32x+8)/ 4 feet

hence, length = (32x+8)/4 feet

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Answer:

The correct option is;

(3) ∠ADB and ∠BDC

Step-by-step explanation:

From the division axiom, we have;

(a+a)/a = 2·a/a = 2

The given parameters are;

m∠ADC = m∠ABC

\(\overline {BD}\) bisects ∠ADC and ∠ABC

Therefore;

∠ADB ≅ ∠BDC

∠ABD ≅ ∠CBD

Therefore;

∠ADB/∠CBD = ∠BDC/∠ABD

Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.

Given:

Use the rules for exponents, according to the steps below.

Step 01: Use The Power Rule for Exponents.

According to this rule:

Then,

Substituting it, we have:

Step 02: Use The Quotient Rule of Exponents.

According to this rule:

Then,

Answer: p⁹.

Answer:

wish i could help have a gret day

Step-by-step explanation:

Answer:

43-7=36

Number of children in the group=36/2

=18children are there in the group

Step-by-step explanation:

The probability that all three wires will meet the specifications is approximately 0.173 .

Expected value (mean) of wire resistance = 0.13 ohms Standard deviation of wire resistance = 0.005 ohms

the probability for each wire, we need to standardize the range of resistance values using the expected value and standard deviation. We can use the Z-score formula:

Z = (X - μ) / σ

Z is the standard score (Z-score) X is the observed value (resistance) μ is the mean (expected value) σ is the standard deviation

For the lower specification of 0.10 ohms

Z1 = (0.10 - 0.13) / 0.005

For the upper specification of 0.17 ohms

Z2 = (0.17 - 0.13) / 0.005

Using a standard normal distribution table , we can find the probability associated with each Z-score.

Lower bound of standardized range = (0.10 - 0.13) / 0.005 = -0.06

Upper bound of standardized range = (0.17 - 0.13) / 0.005 = 0.80

Let's calculate the probabilities for each wire

P(z < -0.60) ≈ 0.2743

P(z < 0.80) ≈ 0.7881

Since we want the probability that all three wires meet the specifications, we need to multiply these probabilities together since the wires are selected independently.

P(all three wires meet specifications) = P(z < -0.60) × P(z < 0.80) × P(z < 0.80)

P(all three wires meet specifications) ≈ 0.2743 × 0.7881 × 0.7881 ≈ 0.1703

Therefore, the probability that all three wires will meet the specifications is approximately 0.173, or 17.3% .

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Answer:

its attatched

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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The florists charges and delivery are illustrations of linear functions

The amount made by the florist per delivery is y = 1.5 + 0.25x

For the charges, we have:

Represent the cost with y, and the number of miles with x.

The function that represents the amount the florist made is:

y = 5 + x

For the delivery, we have:

The function that represents the delivery is:

y = 3.5 + 0.75x

The amount made by the florist per delivery is then calculated as:

y = 5 - 3.5 + x - 0.75x

y = 1.5 + 0.25x

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Answer:

A ray

Step-by-step explanation:

There is an open circle at x = 3, and the graph goes infinitely left.

Answer

6/7 yd

Step-by-step explanation:

The Area = \(s^{2}\)

So s = \(\sqrt{Area}\) = \(\sqrt{\frac{36}{49}}\) = \(\frac{\sqrt{36} }{\sqrt{49} }\) = 6/7 yd