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Dmitry [639]
3 years ago
5

The heights of five-year-olds are Normally distributed with a mean of 42.5 inches and a standard deviation of 2.5 inches. A rand

om sample of 16 five-year-olds is taken and the mean height is recorded. What would be the standard deviation of the sampling distribution of all possible samples of size 16?
0.16
0.63
2.5
2.66
Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

0.63

Step-by-step explanation:

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What is the value of B?
iragen [17]

2x^2-12xy-32y^2=2(x-8y)(x+By)\qquad|\text{use distributive property}\\\\2x^2-12xy-32y^2=(2x-16y)(x+By)\\\\2x^2-12xy-32y^2=(2x)(x)+(2x)(By)+(-16y)(x)+(-16y)(By)\\\\2x^2-12xy-32y^2=2x^2+2Bxy-16xy-16By^2\\\\2x^2-12xy-32y^2=2x^2+(2B-16)xy+(-16By)

\text{therefore:}\\\\2B-16=-12\ \text{and}\ -16B=-32\\\\2B=4\ \text{and}\ B=2\\\\B=2\ \text{and}\ B=2\qquadCORRECT

<h3>Answer: B = 2</h3>
8 0
3 years ago
Solve For Q<br><br> q/10=4<br><br> Please Answer This For Me. Thanks.
Maurinko [17]

\frac{q}{10} = 4\\q = 4 * 10\\q = 40

Answer: 40.

3 0
3 years ago
Read 2 more answers
2) A circle has an area of 121 ñ cm. Find its circumference. (Round your answer to the
crimeas [40]

Answer:

If the area is 121 cm the answer is 38.99 if its 12 cm then the answer is 12.28

Step-by-step explanation:

Im not sure if correct but i tried

7 0
3 years ago
What is the equation of a circle with center (-3, -5) and radius 4?
o-na [289]

Answer:

(x+3)^{2} +(y+5)^{2} =16

Step-by-step explanation:

the general equation of a circle is

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

with (h,k) being the centre of the circle and r the radius

8 0
2 years ago
A projectile is fired directly upward. The compound inequality 89 – 9.8t &lt; 10.6 or 89 – 9.8t &gt; 20.4 represents a projectil
Tom [10]

Given compound inequality 89 – 9.8t < 10.6 or 89 – 9.8t > 20.4.

Let us solve them one by one.

89 – 9.8t < 10.6

Subtracting 89 from both sides, we get

89-89 – 9.8t < 10.6 - 89

-9.8t < -78.4

Dividing both sides by -9.8, we get

t > 8.

<em>Note: Inequality sign get flip on dividing both side by a negative number.</em>

89 – 9.8t > 20.4

Subtracting 89 from both sides, we get

89-89 – 9.8t < 20.4 - 89

-9.8 t < - 68.6.

Dividing both sides by -9.8, we get

t < 7

<em>Note: Inequality sign get flip on dividing both side by a negative number.</em>

<h3><em> The solution to the inequality 89 – 9.8t < 10.6 is </em>t > 8. </h3><h3> The solution to the inequality 89 – 9.8t > 20.4 is t < 7.</h3>

When the projectile hits the ground:

89 – 9.8t = 0

Subtracting 89 from both sides, we get

89 - 89 – 9.8t = 0 -89.

-9.8t = -89.

Dividing both sides by 9.8, we get

<h3>to the nearest whole second  t is about 9 seconds.</h3><h3>Therefore, variable solution set is {t < 7, t > 8, t = 9}.</h3><h3 />
7 0
3 years ago
Read 2 more answers
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