Ask question

Ask question

All categories

3 years ago

10

We believe that 93% of the population of all Business Statistics I students consider statistics to be an exciting subject. Supp

ose we randomly and independently selected 28 students from the population. If the true percentage is really 93%, find the probability of observing 27 or more students who consider statistics to be an exciting subject.

1 answer:

maria [59]3 years ago

6 0

Answer:

the probability of observing 27 or more students 0.818

Step-by-step explanation:

given data

sample n = 28 students

population = 93%

to find out

the probability of observing 27 or more students

solution

we will find Z value for CI 93%

from z table we get Z is 1.812 for Cl 93%

so P(27 ≤ Z ≤ 28)

we know Z = 0.182

= 1 - 0.182

= 0.818

the probability of observing 27 or more students 0.818

You might be interested in

Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

(c) $\overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}$

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

7 0

3 years ago

A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 3.5 centimet

LUCKY_DIMON [66]

I don't know if it's right but this is what I did. the rounding might be a little different.

$(1 + 3.5) \div 2 \times x = 8.1$
$4.5 \div 2 = 2.3$
$2.3x = 8.1$
$8.1 \div 2.3 = 3.5$
x=3.5 cm.

5 0

4 years ago

HELP WILL give brainliest !!!!!!!!!

tatyana61 [14]

Answer:

$\frac{3}{8}$ a mile

Step-by-step explanation:

$\frac{1}{2} =\frac{4}{8}$

Sophia walked $\frac{4}{8}$ of a mile

Layla walked $\frac{7}{8}$ of a mile

$\frac{7}{8} -\frac{4}{8} =\frac{3}{8}$

Layla walked $\frac{3}{8}$ more of a mile than Sophia

4 0

3 years ago

What is the key vocabulary of cubic functions

bija089 [108]

Answer:

Hope it helps!

Step-by-step explanation:

The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.

A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.

Credits;

Graphs of Cubic Functions (solutions, examples, videos)

Cubic Function: Definition, Formula & Examples - Video & Lesson

5 0

3 years ago

How do I solve 2x=34

Maurinko [17]

Answer:

x= 17

Step-by-step explanation:

34 / 2 = 17

8 0

3 years ago

Read 2 more answers