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89.09% of books will weigh 11 pounds or more, then the number of books will be 129.

The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.

The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.

Then the z-score when the books will weigh 11 pounds or more will be

[tex]z= \frac{11-13.5}{2.3} \\\\z= -1.0869[/tex]

Then the probability will be

[tex]P(x > 11) = 1-P(x < 11 ) = 0.8909[/tex]

89.09% of books will weigh 11 pounds or more, then the number of the books will be

=145 × 0.8909

=129.1805 ≈ 129

More about the z-score link is given below.

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Answer:

96 people are expected

Step-by-step explanation:

Hello!

We can first convert the surveyed group results into a percentage.

So 3% of the sampled survey were interesetd. To find the actual expected number of patrons, we find 3% of 3200.

96 people are expected.

Topics:

Percentage => Fraction => Decimal Key is attached

Answer:

ur mom

Step-by-step explanation:

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

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Answer:

[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]

We have to find b.

tan 30° = 0.6

[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]

Answer:

183.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area = Area of trapezium - area of parallelogram-area of semicircle

= [tex]\frac{1}{2}(a+b)h-b*h-\frac{\pi r^{2} }{2\\}[/tex]

=[tex]\frac{1}{2}(25+15)24-13*16-\frac{\pi (15/2)^{2} }{2\\}[/tex]

= 183.6 [tex]cm^{2}[/tex]

Answer:

x= -2

Step-by-step explanation:

Make denominator same

3*(x+10)/12 - 2*(x-10)/12 = 6*(x+10)/12

denominators are same so numerators has to same as well

3*(x+10)-2*(x-10)=6*(x+10)

expand brackets

3x+30-2x+20 = 6x+60

x+50=6x+60

x-6x=60-50

-5x=10

x= -2

The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

The standard vertx form of an expression is given as  y = a(x – h)^2 + k

Given the quadratic expression given as:

y = 6x^2  + 18x+ 14

Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.

To do that, you will factor out 6 from the first two terms to have:

6(x^2 + 3x) + 14

Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

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The first step is factoring out the 6 from the 6x2 + 18x. 

Answer: 234 degrees

Step-by-step explanation:

Angle formed by a chord and a tangent has half the measure as the arc formed by the chord

The value of measure of arc DEF is,

⇒ 234 degree

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Hence, We know that;

The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.

Thus, The value of measure of arc DEF is,

⇒ 2 x 117 degree

⇒ 234 degree

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I love it too man or girl (・∀・)

Answer:

The Answer Is 240in^3

Step-by-step explanation:

I Took The Test And Got It Right.

The Volume of the fish tank is 240 in³.

The correct option is (D).

The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.

Given:

The figure can be differentiated into two shapes;

The volume of the rectangle is known as:

= Length × Breadth

= 7 inches × 5 inches

= 35 inches²

The volume of the triangle is:

= 1/2 × base × height

= 1/2 × 2 × 5

= 5 inches²

The total volume of the base of the fish tank now is:

= 35 inches² + 5 inches²

= 40 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank

= 6 inches × 40 inches²

= 240 in³

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Answer:

Age of Father- 36

Age of Son- 10

Answer:

Below in bold.

Step-by-step explanation:

80% is equivalen to 68 correct answers

1%    ..        ..      ..       68/80      ..

100%   ,,     ,,     ,,         (68/80) * 100  =  85 questions.

Answer:

23.14

Step-by-step explanation:

The semi circular region's diagram looks as if it is half of a circle, cut in half by its diameter.

So the circumference of a circle is 2πr or πd

This is half a circle, so the formula is πd/2

π9/2  =  14.137

However, that's only half of the circumference. That does not contain the diameter that is also included.

So if you add 9m to that you get 23.137

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean of the data set can be used because it is not easily affected by extreme values.

A measure of central tendency is a measure that tries to describe an entire data set by using the central value of the data.

Mean is often used as a measure of central tendency when dealing with a large data such as tourism in the city because it is not easily affected by extreme values.

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Answer:

b) angle bisector of angle ABC

An area of high pressure pushes toward an area of low pressure causing wind

    I attached a diagram that can hopefully help you visualize the situation

Hope that helps!

Answer:

62

Step-by-step explanation:

In this scenario, we would use BODMAS to determine where to start.

B - Brackets

O- Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

First, let's start with the brackets.

16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.

16 X [tex]\frac{1}{2}[/tex] = 8

Next is the division sum.

32 ÷ 4 = 8

Afterwards, we multiply both answers.

8 X 8 = 64

Your answer is then minused by 2 and leads to the final answer.

64 - 2 = 62

Answer:

I disagree a basketball player is not dependent on the on one event that Is an event does not affect another

Answer:

the #1 one is about 307.88 & the #2 on is 100.53

Step-by-step explanation:

Answer:

308 in³, 101 in³ (from left to right)

Step-by-step explanation:

Volume of cylinder= πr²h, where r is the radius and h is the height.

Cylinder on left

radius= 7 in

height= 2 in

Volume

= π(7²)(2)

= 98π

= 308 in³ (3 s.f.)

Cylinder of right

radius= 4 in

height= 2 in

Volume

= π(4²)(2)

= 32π

= 101 in³ (3 s.f.)

Check the picture below.

Answer:

a = 1

b = 2

k = -2

Step-by-step explanation:

Given:

[tex]\displaystyle \large{y=k(x-a)^2(x-b)}[/tex]

First, find the a-value and b-value by observing the graph. Notice that once the graph hits x = 1, it just goes up or concave up - that indicates to be the double roots of function. Therefore:

Our a-value is 1

Second, find the b-value. Another x-intercept beside double roots x = 1 is x = 2 as shown in the graph. Therefore:

Our b-value is 2

Third, find the k-value. Right now we have the equation:

[tex]\displaystyle \large{y=k(x-1)^2(x-2)}[/tex]

To find the k-value, simply find a point’s value (x,y) to substitute. According to the graph, you can try substitute (0,4) in:

[tex]\displaystyle \large{4=k(0-1)^2(0-2)}\\\displaystyle \large{4=k(-1)^2(-2)}\\\displaystyle \large{4=k(1)(-2)}\\\displaystyle \large{4=-2k}\\\displaystyle \large{k=-2}[/tex]

Therefore, the value of k is -2

Explanation:

The sum of g and h is the result of adding them. That means we have g+h so far. We reduce it or shrink that result by 11, which indicates we subtract off 11. Therefore, we end up with g+h-11

Answer: Price of 400 yd of fabric from Manufacturer A is = $7.50 X 400= $3,000. From given graph, we can observe that the charge for 800 yards of fabric is = $6,000