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3 years ago

Which data value has the highest frequency? 116 316 38 58

Mathematics

2 answers:

lara31 [8.8K]3 years ago

8 0

1/16. that is the value that has the most x's on the graph.

andrew11 [14]3 years ago

3 0

Answer:

1/16

Step-by-step explanation:

Each tic mark represents 1/16. This is because it takes 4 of them to make 1/4, and 4/16 = 1/4.

The first tic mark has the highest frequency, with 4 marks; this means 1/16 had the highest frequency.

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Question Help Scores of an IQ test have a bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use

3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.

c) 2.5% percentage of people has an IQ score greater than 120.

Step-by-step explanation:

The empirical formula states that:

The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
68% of data falls within the first standard deviation that is $\mu \pm \sigma$

95% of data falls within the second standard deviation that is $\mu \pm 2\sigma$

99.7% of data falls within the third standard deviation that is $\mu \pm 3\sigma$

a) percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

$(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)$

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

$(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)$

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

$= 1 - (95\% + 2.5\%) = 2.5\%$

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

6 0

3 years ago

Select equivalent or not equivalent for each pair of expressions

marissa [1.9K]

Answer:

1: equivalent

2: equivalent

3: not equivalent

Step-by-step explanation:

for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.

3 0

2 years ago

A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take

valentinak56 [21]

Answer:

1.7 seconds

Step-by-step explanation:

we have

$H=-16t^2+vt+s$

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

$v=0$ ---> because the object is dropped

$s=45\ ft$

substitute

$H=-16t^2+45$

Remember that

When the chestnut hit the ground the value of H is equal to zero

For H=0

$-16t^2+45=0$

solve for t

$16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec$

therefore

The solution is t=1.7 sec

7 0

3 years ago

A sequence is defined by the following:

katrin2010 [14]

Answer:

Step-by-step explanation:

a1 = 6

a2 = -1.2*a_(n-1)

a2 = -1.2*a_1

a2 = -1.2 * 6

a2 = -7.2

a3 = -1.2*a_(n-1)

a3 = -1.2*a_2

a3 = -1.2 * - 7.2

a3 = 8.64

a4 = -1.2 * a_3

a4 = -1.2 * 8.64

a4 = -10.368

6 0

3 years ago

Read 2 more answers

Pleas someone help me with this it's my last question

ruslelena [56]

Answer:

we need to find out if the following get x = 2 as a final product

-2(x-4) = 4

-2x + 8 = 4

-2x = -4

x = 2

so it is a solution

26/x = 13

26 = 13x

x = 26/13

x = 2

so it’s a solution

-3.8x = -7.4

x = 7.4/3.8 ≠ 2

you get ≈ 1.95

so it’s not a solution

4(x-1) - 3(x-2) = -8

4x - 4 - 3x + 6 = -8

x + 2 = -8

x = -10

so it’s not a solution

5 0

2 years ago

Read 2 more answers