Jamie is helping out in the school library. He needs to figure out how many shelves the library staff should order for a new reading corner. There are 378 books for the reading corner. Each shelf holds 50 books. The librarian wants to put all the books on shelves. How many shelves should the library order?

Answer:

8ft 9 inch

Step-by-step explanation:

3 ft +5 ft +3 inch+6 inch

=8 ft+9 inch

Answer:

167.64 CM

Step-by-step explanation:

I hope it helps you

Answer:

Hello!! Your answer is x=−2

hope this helps good luck! <3

Answer:

Sam used estimation. He rounded the amount of guests (192) to the nearest hundred (200).

Answer:

(3,0) reflection on x axis (3,0)

(3,0) reflection on y axis (-3,0)

Answer: 27%

Step-by-step explanation:

Answer:

The answer is 69

Step-by-step explanation:

The sum of a number and 98 means it equals 167. So all you have to do to find the missing number is plug it in to the equation.

?+ 98= 167

167-98=?

Answer:

65?

Step-by-step explanation:

im not to sure but maybe 65

The temperature at 2 PM will be  x +16°F

Temperature is a phrase used to describe the degree of heat or cold on any scale, including Fahrenheit and Celsius. A thermometer is used to determine temperature. It is calibrated using different temperature scales that historically defined themselves using different reference points and thermometric substances.

The most popular scales are the Celsius scale, also known as "centigrade," with the unit °C, the Fahrenheit scale, with the unit °F, and the Kelvin scale, with the unit K. The latter is primarily used for scientific research and is the primary temperature scale specified by the International System of Units (SI).

Let temperature at 6 AM be x°F

Time difference between 2 PM and 6 AM:

Δt = 14 -6

 = 8 hour

increase in temperature after every 1 hour = 2°F

increase in temperature in 8 hour will be:

ΔT = 2 * Δt = 2*8 = 16°F

Temperature at 2 PM will be = x + ΔT

                                                = x +16°F

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Step-by-step explanation:

1 f(x) = ax (x − a)² + 1

Take the derivative

f'(x) = d/dx ( a x( x -a) ²+1

Use differentiation rules

f' x = ax2 x-a +0

Simplify

= f'(x)=2ax-2a²

answer

Answer:

Step-by-step explanation:

J is correct.. that function can never be less than 2

Answer: 9c+12

Step-by-step explanation:

Answer:

240 marbles.

Explanation:

Let us call R the number of red marbles, B the number of blue marbles, and N the total number of marbles. Then we know that

Furthermore, we also know that there are 160 blue marbles, meaning B = 160:

We also know that the probability of getting a red marble is 1 / 3, meaning 1 /3 of the total number of marbles is red:

Since N = R + 160, the above becomes

Multiplying both sides by 3 gives

subtracting R from both sides gives

Finally, dividing both sides by 2 gives

Hence, there are 80 marbles in the box.

Therefore, the total number of marbles in the box is

The total number of marbles in the box is 240.

(a) The probability is, 0.242

(b) The probability is, 0.0034 or 0.34%.

(c) The minimum salary is $49538 and the maximum salary is $67962.

What is probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

(a) For normal distribution z - score = (X - μ) / σ

Here, mean (μ) = 58750  and

Standard deviation (σ) = 4700

Probability = P( X > 62000) = P( Z > ((62000 - 58750) / 4700) = P( Z > 0.7) = 1 - P( Z < 0.7) = 1 - 0.7580 = 0.242

Hence, the probability is, 0.242

(b)

Probability = P( X > 45000) = P( Z > ((45000 - 58750) / 4700))

= P( Z < -2.93) = 1 - 0.9966 = 0.0034 = 0.34%

Hence the probability is, 0.0034 or 0.34%

(c) For middle 90% values critical z =-/+1.96

Therefore,

Minimum salaries  = mean - z x standard deviation

                              = 58750 - 1.96(4700)

Minimum salaries = 49538

Maximum salaries = mean + z x standard deviation

                              = 58750 + 1.96(4700)

Maximum salaries = 67962

Hence, the minimum salary is 49538 and the maximum salary is 67962.

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Answer:

1.65$

Step-by-step explanation:

18.20$ (total price) - 4×1.25$ ( chips price) = 13.2$

13.2$ ( price of 8 hot dog)

price of one hot dog= 13.2$ ÷8= 1.65$

Answer: \(\$100\)

Step-by-step explanation:

Given

T-shirt cost 5 times as much as a singlet

Suppose the price of a singlet \(x\)

Price of a T-shirt is \(5x\)

According to the question, for $800, trader can buy 32 more singlet than T-shirt

\(\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20\)

Thus, the price of a T-shirt is \(5x=\$100\)

The statement is false because the given matrix \(\[\begin{bmatrix}1 & 1 & -1 \\-1 & 2 & 0} \\1 & 1 & 1 \\\end{bmatrix}\]\) is not an orthogonal matrix.

A matrix is orthogonal if its columns are orthonormal (unit vectors that are pairwise perpendicular). To check if a matrix is orthogonal, we can compute its transpose and multiply it with itself. If the result is the identity matrix, then the original matrix is orthogonal.

To be an orthogonal matrix, a matrix must satisfy two conditions:

Let's examine the given matrix:

A = \(\[\begin{bmatrix}1 & 1 & -1 \\-1 & 2 & 0} \\1 & 1 & 1 \\\end{bmatrix}\]\)

If we calculate the dot product between the first and second columns, we get:

\(\[\begin{bmatrix}1 & 1 & -1 \\-1 & 2 & 0} \\1 & 1 & 1 \\\end{bmatrix}\]\) × \(\[\begin{bmatrix}1 & 1 & 0 \\\end{bmatrix}\]\)T = 11 + 11 + (-1)×0 = 2

Since the dot product is not zero, the first and second columns are not orthogonal to each other.

Therefore, the given matrix \(\[\begin{bmatrix}1 & 1 & -1 \\-1 & 2 & 0} \\1 & 1 & 1 \\\end{bmatrix}\]\) does not meet the criteria to be an orthogonal matrix.

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Answer:

(i) 12 = 2 x 2 x 3 => 2² x 3¹

(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²

(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹

Step-by-step explanation:

(a) Express each of these numbers as a

product of its prime factors in index

notation.

(i) 12 = 2 x 2 x 3 => 2² x 3¹

(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²

(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹

The probability that the first is a king, the second a diamond and the third a diamond quiz let is 1/13, 1/4 and 10/52 respectively.

Now, we know that there are 52 cards in the deck of cards, and there are 13 cards of each suits i.e. diamonds, spade, heart and clubs. Also there are 12 face cards in total of the deck.

So, the probability if getting the first card is king :

King is a face card and there are 4 kings in the deck so the probability will be :

P(getting 1st card as king) = 4/52 = 1/13.

The probability of getting the second card a diamond is :

we know that there are 13 cards of the diamond in the deck so the probability will be :

P(getting the diamond card) = 13/52 = 1/4.

Now, lastly the probability if getting the diamond quiz let is :

There are 10 flashcards of the diamonds in the deck, so the probability will be :

P(getting the diamond flashcard) = 10/52.

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Answer:

I Believe Its Eight Squares

There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.

here, we have,

Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.

Here, we will use the combination rule to find out the possible triangles,

Thus, the total number of possible triangles = 15C3                                                                      = (15.14.13) / (1.2.3) = 455

Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.

For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.

And 12/3 = 4 dots would be between any two connecting dots.

Taking 1st connecting dot, the second connecting dot would be

1 + 4 + 1 = 6th

Similarly, the third connecting dot would be 6 + 4 + 1 = 11th

So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);

After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:

So, there are 455 - 5 = 450 triangles that are not equilateral triangles.

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Complete question;

fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?

The component of u along v is -17√2 / 5. To find the component of u along v, we can use the formula Component of u along v = (u · v) / |v| where u · v represents the dot product of u and v, and |v| represents the magnitude of v.

Given u = ⟨3, 0, 5⟩ and v = ⟨-3, 4, -5⟩, we can calculate their dot product:

u · v = (3 * -3) + (0 * 4) + (5 * -5) = -9 - 25 = -34

Next, we need to find the magnitude of v:

|v| = √((-3)^2 + 4^2 + (-5)^2) = √(9 + 16 + 25) = √50 = 5√2

Now, we can substitute these values into the formula to find the component of u along v:

Component of u along v = (-34) / (5√2)

To simplify, we can rationalize the denominator by multiplying both the numerator and denominator by √2:

Component of u along v = (-34√2) / (5√2 * √2)

                    = (-34√2) / (5 * 2)

                    = -17√2 / 5

Therefore, the component of u along v is -17√2 / 5.

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Answer:

2 Tenths > 11 Hundredths

2 Tenths Is Greater Than 11 Hundredths

2 Tenths + 11 Hundredths = 0.31

Answer:

8/27

Step-by-step explanation:

So an exponent is basiclly when you multiply the number as many times as the exponent says. In this case it saying 3 so you would do 2/3*2/3*2/3 and then you would get 8/27. I hope this helps.

A triangle has two sides of length 18.9 and 2.9. inequality which describes the possible lengths for the third side, x is 16 < x < 21.8

The triangle inequality theorem states that,

given two lengths of the sides of a triangle, the length of the third side of the triangle must be greater than the difference and less than the sum of the two given sides.

For the two sides a and b of the triangle, the third side c must follow as follows:

(a - b) < c < (a + b)

So let a = 18.9 and b = 2.9

let the length of third side of triangle be x then

(18.9 - 2.9) < x < (18.9 + 2.9)

=> 16 < x < 21.8

So , the third side of the triangle must follow the inequality 16 < x < 21.8

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Option (c) 1/3 is the correct answer.Let us first understand the given problem,It is given that the fair 6-sided die is rolled and let X indicates the event that an odd number is rolled and Y indicates the event that 3,4, or 5 is rolled.

P(X=0,Y=1)Solution:When an odd number is not rolled, then an even number is rolled. So, the possible even numbers that can be rolled on a die are 2,4 and 6. Therefore,X = 0, when an even number is rolledY = 1, when 3, 4 or 5 is rolledLet's find P(X=0,Y=1).P(X = 0, Y = 1) = P(rolling 4) = 1/6The sample space for a fair die will be {1,2,3,4,5,6}.

The odd numbers are {1,3,5}. Therefore,P(X = 1) = probability of getting an odd number= 3/6 = 1/2 (3 possible odd numbers out of 6)P(X = 0) = probability of getting an even number= 3/6 = 1/2 (3 possible even numbers out of 6)P(Y = 1) = probability of getting 3, 4, or 5= 3/6 = 1/2 (3 possible numbers out of 6)P(Y = 0) = probability of getting 1, 2, or 6= 3/6 = 1/2 (3 possible numbers out of 6)P(X = 0, Y = 1) = P(rolling 4) = 1/6. Therefore, P(X=0, Y=1) = 1/6Therefore, option (c) is correct.

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Answer:

A) is the last option 5/7.

Step-by-step explanation:

B) the third and last option. 7/-9 and -7/9

Answer:

See below ~

Step-by-step explanation:

P (first red) :

⇒ Original number of red balls / Total

⇒ 4 / 10

⇒ 0.4

⇒ 40%

===============================================================

Remember the first ball drawn is NOT replaced.

P (second red) :

⇒ Original number of red - 1 / Total - 1

⇒ 4 - 1 / 10 - 1

⇒ 3/9

⇒ 33%

The equations are

\(\\ \tt\hookrightarrow y=0.50x+75\)

\(\\ \tt\hookrightarrow y=0.55x+69.10\)

Now

\(\\ \tt\hookrightarrow 0.55x+69.10=0.50x+75\)

\(\\ \tt\hookrightarrow 0.55x-0.50x=75-69.1\)

\(\\ \tt\hookrightarrow 0.05x=5.9\)

\(\\ \tt\hookrightarrow x=5.9/0.05\)

\(\\ \tt\hookrightarrow x=118mi\)

Yes, line is used to define an angle.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The common point is referred to as the vertex.

The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.

A straight line is a straight angle.

Therefore, two lines are used to define an angle.

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Answer:

A, 12c + 7b + 24

B, $69

Step-by-step explanation:

Please, read my picture Thanks! Also tell me if its right in the comment

4 * 12 + 3 * 7 + 24 = m

m represents how much money Marta spent

48 + 21 + 24 = m

69 + 24 = m

$93 = m