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3 years ago

7

what is the distance between the first integer that is less than square root 40 amd the first integer that is greater than squar

e root of 125?

1 answer:

ki77a [65]3 years ago

8 0

Answer:

6

Step-by-step explanation:

$\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6$

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IQ scores for adults age 20 to 34 years are normally distributed according to N(120, 20). In what range does the middle 68% of p

Ilya [14]

The required interval of the given normal distribution using the empirical rule is <u>[100, 140]</u>.

The empirical rule formula (also known as a 68 95 99 rule formula) uses data from a normal distribution to determine the first, second, and third standard deviations, which, respectively, differ from the mean value by 68%, 95%, and 99%. Additionally, it shows that 99.9% of the data fall inside the third standard deviation range (either above or below the mean value). The empirical rule formula is described below with cases that have been resolved.

In the question, we are given that IQ scores for adults aged 20 to 34 years are normally distributed according to N(120, 20), and are asked for the range in which the middle 68% of people in this group score on the test.

N(120, 20) signifies a normal distribution with mean, μ = 120, and the standard deviation, σ = 20.

By the empirical formula, 68% of the data lies within one standard deviation from the mean.

Thus, the required interval is [μ - σ, μ + σ] = [120 - 20, 120 + 20] = [100, 140].

Learn more about the empirical rule at

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6 0

1 year ago

Find the value of x.

AURORKA [14]

Answer:

$x=129$ °

Step-by-step explanation:

A secant is a line that intersects a circle in two places. The secants interior angle theorem states that when two secants intersect a circle inside a circle, the measure of any one of the angles formed is equal to half of the sum of the two intersecting arcs. Therefore, one can apply this theorem here:

$x=\frac{204+54}{2}$

Simplify,

$x=\frac{204+54}{2}$

$x=\frac{258}{2}$

$x=129$

7 0

3 years ago

Change 12 out of 40 to a percentage

Temka [501]

12 out of 40 to a percentage:-

(12/40)×100

= 30%

<h2>Hope it helps..</h2>

3 0

3 years ago

If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?

Anastasy [175]

Answer:

1.5(x)

Step-by-step explanation:

find out how many hours are in 90 minutes

1.5

x miles

5 0

3 years ago

Please help with 30!

Paladinen [302]

The equation of the graph y= $x^{3}-2x^{2} +3x-4$ has no symmetry

The equation of the graph y = $x^{3}-2x^{2} +3x-4$

Replace y with -y in the given equation

-y = $x^{3}-2x^{2} +3x-4$

When replacing y with -y gives the different equation. The equation is not symmetric with respect to x axis

Replace x with -x in the given equation

y = $(-x)^{3} -2(-x^{2} )-3(-x)-4$

y = $-x^{3}-2x^{2} +3x-4$

When replacing x with -x gives the different equation. The equation is not symmetric with respect to y axis

Replace x with -x and y with -y in the equation

-y = $(-x)^{3} -2(-x^{2} )-3(-x)-4$

-y = $-x^{3}-2x^{2} +3x-4$

When replacing x with -x and y with -y gives the different equation. The equation is not symmetry with respect to origin.

Hence, the equation of the graph y= $x^{3}-2x^{2} +3x-4$ has no symmetry

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4 0

1 year ago