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LenaWriter [7]
3 years ago
11

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

inches) and the standard deviation is 3 inches. Estimate the probability that a randomly-selected male is between 67 and 74.5 inches tall. Express your answer as a decimal. Question 8 options: 0.77 0.23 0.67 0.5
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

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Write the equation of the line that passes through the points (2,0) and (1,-2)
Darya [45]

Answer:

y

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer linky

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer link

4 0
2 years ago
PLZZ HELPP FIRST ANSWER THATS CORRECT GETS BRAINLIEST
Aleksandr-060686 [28]
Alright, so the sum of two days is going to equal zero.
The variable here is what Jesse got on the first day. Let's call it "x".
x-6=0
x is the first day's score, -6 is the second day's score, and the total score is zero.
Now, add 6 to both sides.
x-6=0
+6   +6
x=6
Jesse's score for the first day was (+)6.
5 0
3 years ago
Find the geometric mean of 7 and 9
charle [14.2K]

Answer:

\large\boxed{3\sqrt7}

Step-by-step explanation:

\text{Geometric mean:}\\\\\underbrace{\sqrt[n]{a_1\cdot a_2\cdot a_3\cdot...\cdot a_n}}_n\\\\\sqrt{7\cdot9}=\sqrt{9}\cdot\sqty7=3\sqrt7

3 0
3 years ago
Which is the completely factored form of 4x2 + 28x + 49?
Gelneren [198K]

Answer:

57+28x

Step-by-step explanation:

only this

i don't know you 4x2 or 4x+2

7 0
3 years ago
Suppose that a colony of bacteria starts with 1 bacterium and doubles in number every half hour. how many bacteria will the colo
OverLord2011 [107]
Let a_n represent the number of bacteria after \frac{n}{2} hours.

so

a_0 is the number of bacteria after 0/2 = 0 hours

a_1 is the number of bacteria after 1/2 hours

a_2 is the number of bacteria after 2/2 = 1 hours and so on


so if we list a few terms of this sequence, we have:

a_0=1

a_1=1*2

a_2=1*2*2

a_3=1*2*2*2

a_4=1*2*2*2*2


so clearly, a_n, the number of bacteria after \frac{n}{2} hours, is equal to 2^{n}.
 

 a_4_8 is the number of bacteria after
 
\frac{n}{2}=\frac{48}{2}= 24 hours.

Thus, we calculate  a_4_8, which is 2^{48}.


Answer: the number of bacteria after 24 hours is 2^{48}.

3 0
2 years ago
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