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BartSMP [9]
3 years ago
12

Who was the first president ​

Mathematics
2 answers:
Fiesta28 [93]3 years ago
5 0
The first president is George Washington
Marina CMI [18]3 years ago
3 0

Answer : George Washington

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The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp
Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)

P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})

P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})

From Z tables:

P(31000 < X

P(31000 < X

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0
3 years ago
Give the equation of the circle centered at the origin and passing through the point (0,-8)
Norma-Jean [14]

Answer:

The answer to your question is x ² + y² = 64

Step-by-step explanation:

Process

1.- Find the length of the radius

C (0, 0)

P (0, -8)

d = \sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}  }

d = \sqrt{(0- 0)^{2}+ (-8 - 0)^{2}  }

d = \sqrt{64}

d = 8

2.- Find the equation of the circle

    (x - h)^{2} + (y - k)^{2} = r^{2} \\

h = 0   and k = 0

    (x - 0)^{2} + (y - 0)^{2} = 8^{2}

            x² + y² = 64      

5 0
3 years ago
What are both of these shaded as?
Sedaia [141]

Answer:

1 whole and 15/100= <em><u>1.15</u></em>

Step-by-step explanation:

The first box is 1 whole, in total there are 100 squares. All u need to do is count the number of squares

4 0
3 years ago
Find the measure of the red arc or chord in ⊙C. The measure of arc XYZ is a °
Igoryamba

The points on the red arc are points A and B

The measure of the red arc is 75 degrees

<h3>How to determine the measure of arc XYZ?</h3>

From the complete question, we have:

Angle DCE = 75 degrees

By vertical angles theorem,

Angle ACB = Angle DCE = 75 degrees

So, we have:

Angle ACB = 75 degrees

The measure of the red arc is the same as the measure of the angle ACB.

So, we have:

Red arc = 75 degrees

Hence, the measure of the red arc is 75 degrees

Read more about arc and chords at:

brainly.com/question/25871159

3 0
2 years ago
The fictional rocket ship Adventure is measured to be 65 m long by the ship's captain inside the rocket.When the rocket moves pa
Gwar [14]

Answer:

a) t₀ =  1.73205 s

b) 1.0 C

Step-by-step explanation:

(A)

The time dilation (t) observed by an observer at rest relative to the time (t₀) measured by observer in motion is;

t = \frac{t_0}{\sqrt{1 - \frac{V^2}{C^2}}}

t_0 = t \sqrt{1 - \frac{V^2}{C^2}} time measured by captain

⇒ t_0 = 2.0 \sqrt{1 - \frac{0.5^2C^2}{C^2}}             V = 0.5 c

⇒ t₀ =  1.73205 s

(B)

Speed of the light never exceeds by its real value. The speed of the light in any frame of reference is constant.

∵ It will be "1.0C" or just "C"

7 0
3 years ago
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