Ask question

Ask question

All categories

schepotkina [342]

2 years ago

14

What is the probability that a value falls in the interval μ ± 2σ, that computes the probability P(-2 < Z < 2). Round to f

our decimals and use leading zeros

1 answer:

bija089 [108]2 years ago

8 0

Answer:

0.9544

Step-by-step explanation:

P(-2 < Z < 2) means that Z has mean 0 and standard deviation 2.

P(−2 < Z < 2) = F(2) - F(-2)

Using the Z - table,

F(2) = 0.9772

and F(-2) = 0.0228

Thus,

P(−2 < Z < 2) = 0.9772 - 0.0228 = 0.9544

This means that data within two standard deviation is 95%.

You might be interested in

How do I solve log(2)t^3-1=-3?

Ne4ueva [31]

Assuming you mean
$log_2(t^3-1)=-3$
remember
$log_a(b)=c$ translates to $a^c=b$
translate

$log_2(t^3-1)=-3$ translates to $2^{-3}=t^3-1$
$\frac{1}{2^3} =t^3-1$
$\frac{1}{8} =t^3-1$
add 1 to both sides
$\frac{9}{8} =t^3$
cube root both sides
$\frac{ \sqrt[3]{9} }{2}=t$

3 0

2 years ago

Consider the quadratic equation: 5x2 + 2x + 1 = 0. 1) Which statement is true about the roots of the given quadratic equation? A

IRINA_888 [86]

Hello!

In math, there is always something called the discriminant. This is represented by the equation $b^{2} -4ac$ , when a quadratic = $ax^{2} + bx + c$ . The discriminant tells you what roots an equation has. A discriminant of over 0 represents 2 real roots, a discriminant of 0 = 1 real root, and a discriminant of <0 is 0 real roots (2 complex roots)

Now, substitute in the values and solve. In this equation, a = 5, b = 2, c = 1.

$b^{2} -4ac$

$2^{2} -4(5)(1)$

$4 - 20$

$-16$

Therefore, the discriminant is -16. This means that the equation has no real roots, and has 2 complex roots. Therefore, your answer is D.

Hope this helps!

5 0

3 years ago

Help please ASAP !!!

Arisa [49]

For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:

$Sin (45) = \frac {leg} {h}$

Where h is the hypotenuse.

$\frac {\sqrt {2}} {2} = \frac {leg} {h}$

We cleared h:

$h = \frac {2leg} {\sqrt {2}}$

We rationalize:

$h = \frac {2leg} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}}\\h = \frac {2 \sqrt {2} * leg} {2}\\h = \sqrt {2} * leg$

ANswer:

Option A

3 0

2 years ago

What is the value of x plz help

nalin [4]

43 is the value of x Cox it's an angle on a straight line

6 0

2 years ago

Conti. 7-10 thanks a lot! <br><br>unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment <em>EO</em><em> </em>is a segment bisectour, making these angles <em>Complementary</em><em> </em><em>Angles</em><em>.</em><em> </em>Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

3 0

2 years ago