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2 years ago

Use the standard normal distribution to find P(-2.25 < z < 1.25)

2 answers:

7 0

Here we have to find the probability P(-2.25<z<1.25) . Now express the probability in terms of standard normal cumulative distribution function. That is \Phi(x)=P(z<x) .

P(-2.25<z<1.25)=\Phi(1.25)-\Phi(-2.25)

Now you can look up the probability from the standard normal tables. Its value is

P(-2.25<z<1.25)=\Phi(1.25)-\Phi(-2.25)\\ P(-2.25<z<1.25)=0.8821

Read more on Brainly.com - brainly.com/question/10724834#readmore

Ede4ka [16]2 years ago

3 0

Here we have to find the probability $P(-2.25$ . Now express the probability in terms of standard normal cumulative distribution function. That is $\Phi(x)=P(z$ .

$P(-2.25$

Now you can look up the probability from the standard normal tables. Its value is

$P(-2.25$

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If ΔOCD ≅ ΔJAL, then which of the following statements are true? Select True or False for each statement.

andrey2020 [161]

Answer:

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Step-by-step explanation:

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2 years ago

A sinusoidal function whose period is π/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3. What is the equ

Eddi Din [679]

Answer:

$f(\theta)=3+7sin(4\theta)$

Step-by-step explanation:

The sinusoidal function has a general form of:

$f(\theta)=Y+Asin(k\theta)$

The period is given by:

$P=\frac{2\pi}{k}\\\frac{\pi}{2}= \frac{2\pi}{k}\\k=4$

Y is the y-intercept, thus y = 3.

At the maximum value:

$f(max) = Y+A\\10 = 3+A\\A=7$

At the minimum value:

$f(min) = Y-A\\-4 = 3-A\\A=7$

Therefore, the equation of the function described is:

$f(\theta)=3+7sin(4\theta)$

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2 years ago

Suppose McDonald’s 2022 financial statements contain the following selected data (in millions).

Inga [223]

The answer is b the rounded to 2 decimal places

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2 years ago

The variable complex number z is given by z=1+cos 2θ+isin2θ,where θ takes all values in the interval −1/2π<θ<1/2π

FinnZ [79.3K]

The given complex number is
z = 1 + cos(2θ) + i sin(2θ), for -1/2π < θ < 1/2π

Part (i)
Let V = the modulus of z.
Then
V² = [1 + cos(2θ)]² + sin²(2θ)
= 1 + 2 cos(2θ) + cos²2θ + sin²2θ

Because sin²x + cos²x = 1, therefore
V² = 2(1 + cos2θ)

Because cos(2x) = 2 cos²x - 1, therefore
V² = 2(1 + 2cos²θ - 1) = 4 cos²θ
Because -1/2π < θ < 1/2π,
V = 2 cosθ PROVEN

Part ii.
1/z = 1/[1 + cos2θ + i sin 2θ]
$\frac{1}{z} = \frac{(1+cos2\theta - i\, sin2\theta)}{(1 + cos 2\theta + i\, sin 2\theta)(1+cos2\theta - i \,sin2\theta)}\\ = \frac{1+cos2\theta - i \,sin 2\theta}{(1+cos2\theta)^{2} + sin^{2}2\theta}$

The denominator is
$(1+cos2\theta)^{2}+sin^{2}2\theta \\ = 1+2cos2\theta+cos^{2}2\theta+sin^{2}2\theta \\ =2cos2\theta+2 \\ = 2(1+cos2\theta)$

Therefore
$\frac{1}{z} = \frac{1}{2} -i \frac{sin2\theta}{2(1+cos2\theta)}$

The real part of 1/ = 1/ (constant).

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2 years ago

A parachute is descending at a rate of 28 feet per minute. Find the total change in the altitude of the parachute after 4 minute

BigorU [14]

Answer:

The total change in the altitude of the parachute after 4 minutes is 92 ft

Step-by-step explanation:

Here, we want to calculate the total change in the altitude of the parachute.

The rate of change per minute = 28 ft/m

Now in 4 minutes, the total altitude change will be;

28 ft/min * 4 min = 92 ft

In 4 minutes, there would have been a change of 92 ft in the altitude of the parachute

8 0

2 years ago