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shutvik [7]
3 years ago
6

Consider the set {4, 5, 7, 8, 8, 12, 13, 13, 15, 18, 20, 22, 24, 26, 27, 37, 38}. if you were dividing the set into intervals, w

hich is the best interval for the first subset of data?
A) 0-7
B) 4-5
C) 4-12
D) 0-10
Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0

Answer:

C) 4-12

Step-by-step explanation:

<u>A) 0-7</u>

<em>Its frequency will only be 3 and there are no numbers from 0 till 3 therefore, this is not the best interval.</em>

<u>B) 4-5</u>

<em>This interval is too short. If you go on with the intervals, there will be a lot of sets. Therefore, this is not right.</em>

<u>C) 4-12</u>

<em>The set starts from 4 and so does the interval. The interval 4-12 will have a frequency of 6 and the next intervals will be 13-21, 22-30, 31-39.</em>

<em>Therefore, this is the best interval for the data.</em>

<u>D) 0-10</u>

<em>There are no numbers from 0-3 or 9-10, therefore this is not the best interval.</em>

The correct answer is option C) 4-12

!!

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Mass of a Robin was 72.89 grams the mass of a blue Jay was 84.28 grams what is the estimate difference in the mass of the birds
pentagon [3]

Answer:

Step-by-step explanation:

estimation: 84-73

11

5 0
3 years ago
G(x) = 19 g(x) = -3x + 4,
STatiana [176]

Answer:

x = -5

Step-by-step explanation:

g(x) = 19 g(x) = -3x + 4

So g(x) = g(x)

19 = -3x + 4     Subtract 4 from each side

19 - 4 = -3x + 4 - 4

15 = -3x         Divide each side by -3

15/-3 = -3x/-3

15/-3 = x

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7 0
3 years ago
Read 2 more answers
Jason writes the following function to represent the amount of money in his account after 7 years given quarterly compounding of
Scrat [10]

Answer:

f(t) = 2430(1 + \frac{0.16}{4} )^{7 \times 4}

The APR is 16%.

Step-by-step explanation:

Jason writes the following function to represent the amount of money in his account after 7 years given quarterly compounding of the $2430 initial deposit as  

f(t) = 2430(1.04)^{28} ......... (1)

a. If we want to rewrite the equation in the form  

f(t) = A(1 + \frac{r}{n} )^{nt} .......... (2)

Then comparing equation (1) and (2) we get, A = 2430 and t = 7

Hence, 7n = 28

⇒ n = 4

Now, 1 + \frac{r}{4} = 1.04

⇒ r = 0.16 i.e. 16%  

Therefore, the expression is  

f(t) = 2430(1 + \frac{0.16}{4} )^{7 \times 4} (Answer)

b. The APR is 16%. (Answer)

8 0
3 years ago
15. The fourth graders
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16 groups

Step-by-step explanation:

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30+32+29+28+9=128/8=16

8 0
3 years ago
Inequality to x2 &lt; 64
Anarel [89]
              NOT MY WORDS TAKEN FROM A SOURCE!

(x^2) <64  => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2    so    (x^2) - (8^2) < 0  To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y)  You can work backwards and verify this is true. so let's set (x^2) - (8^2)  equal to zero to find the roots: (x^2) - (8^2) = 0   => (x-8)*(x+8) = 0       if x-8 = 0 => x=8      and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive
2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0  so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So  -8<x<8 Note: If you choose any number outside this range for x, and square it it will be greater than 64 and so it is not valid.

Hope this helped!

:)
7 0
3 years ago
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