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Ksenya-84 [330]
3 years ago
14

A book club has 200 members

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0
So these are decmials of the accutal total so

.32=32%
what makes this question easy is that there are 200 members so to convert the percents into accutall numbers so like .32=32%=64 people (since 200 is 2 times of 100)

A. fiction of 31-40 compared to 21-30
fiction 31-40=.38=38%=76 readers
fiction 21-30=.32=32%=64 readers
76-64=12
A is FALSE

B. so we want to know how many people are 31-40 and prefer fiction
so .38=38% and 38% of 200=76
B is FALSE

C 43 members are 21-30
so we look at the total row for the 21-30 people and see that .43 or 43% or 86 people are in the 21-30 age group
C is FALSE

D. 140 members prefer fiction
look at the total column for fiction and see that .70 like fiction .70=70%=140 people
D is TRUE

so A,B,C are FALSE
D is TRUE
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Answer:  d) 0.9693

<u>Step-by-step explanation:</u>

refer to the z-table attached.  

The table shows the percent from the MEAN.  The percent below the mean is 50% so that needs to be added to the value in the table.  

Look on the left side for 1.8 and the top for 0.07 (which is 1.87).  

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3 years ago
Beth has already jogged 3 miles. She plans to jog less than 12 miles. Which inequality can be
julia-pushkina [17]

Answer:

The total number of miles Beth plans to jog cant go over 12, and she has already jogged for 3 miles, then she needs to jog for another m miles. This can be written mathematically like: 3 + m < 12.

Step-by-step explanation:

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3 years ago
Read 2 more answers
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Semenov [28]

Answer:

\large\boxed{A=130.05}

Step-by-step explanation:

The formula of an area of a kite:

A=\dfrac{pq}{2}

p, q - diagonals

We have p = 17 and q = 15.3. Substitute:

A=\dfrac{(17)(15.3)}{2}=\dfrac{260.1}{2}=130.05

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3 years ago
Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9). (4, -4) (2, -2) (1, -4)
Rus_ich [418]

Answer:

(2,-2)

Step-by-step explanation:

The midpoint of the line segment with endpoints (x_1,y_1) and (x_2,y_2) has coordinates

\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

If the endpoints of the line segment are (-2,5) and (6,-9), then the midpoint has the coordinates

\left(\dfrac{-2+6}{2},\dfrac{5+(-9)}{2}\right)\\ \\\left(\dfrac{4}{2},\dfrac{-4}{2}\right)\\ \\(2,-2)

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3 years ago
Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²
mrs_skeptik [129]

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

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Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

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The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

More about the circle link is given below.

brainly.com/question/11833983

#SPJ1

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