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amm1812
3 years ago
14

The life of a cell phone battery is a normal distribution with a mean of 10.5 hours and a standard deviation of one hour. The bo

ught you got for your birthday is in the 84th percentile in terms of its battery life. How many hours does your phone’s battery last?
a.12.5
b.13.5
c.11.5
d.9.5
Mathematics
1 answer:
blagie [28]3 years ago
3 0
The battery will last for 11.5 hours
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F(x) = 3x + 2 and g(x) = x + 5 g[f(x)] =
Tema [17]

Answer:

f (2x+1)=6x−2

3 0
3 years ago
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The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R
Ilia_Sergeevich [38]

Answer:

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

P(X)=P(X|R)P(R)+P(X|D)P(D)+P(X|I)P(I)\\= (0.34\times0.27)+(0.41\times0.56)+(0.25\times0.17)\\=0.3639

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

P(D|X)=\frac{P(X|D)P(D)}{P(X)} =\frac{0.41\times0.56}{0.3639}=0.6309

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

5 0
3 years ago
What is 13.5/10 simplified
andrezito [222]

Answer:

27/20

Step-by-step explanation:

\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}

4 0
2 years ago
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May somebody help me please and thank you
VladimirAG [237]

Answer:

sub to my you tube channel:

Josiah Rowell

Step-by-step explanation:

3 0
2 years ago
What is the equation for​
WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line(m_1) = 0.25

Let m_2 be the slope of the perpendicular line.

Passes through the point (–6, 8).

<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

\Rightarrow m_1 \cdot m_2=-1

\Rightarrow 0.25\cdot m_2=-1

\Rightarrow m_2=\frac{-1}{0.25}

\Rightarrow m_2=-4

Point-slope intercept formula:

y-y_1=m(x-x_1)

x_1=-6, y_1=8 and m=-4

Substitute these in the formula, we get

y-8=-4(x-(-6))

y-8=-4(x+6)

y-8=-4x-24

Add 8 on both sides of the equation.

y-8+8=-4x-24+8

y=-4x-16

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

5 0
3 years ago
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