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3 years ago

What could be the intersection of the plane PRS and plane QRS

1 answer:

6 0

The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS

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Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital, the mean we

Marina86 [1]

Answer:

Required Probability = 0.1283 .

Step-by-step explanation:

We are given that at Meadow brook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 oz.

Firstly, standard deviation in lbs = 14 ÷ 16 = 0.875 lbs.

Also, Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution.

Let X = mean weight of the babies, so X ~ N( $\mu = 7 lbs , \sigma^{2} = 0.875^{2} lbs$ )

The standard normal z distribution is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, X bar = sample mean weight

n = sample size = 4

Now, probability that the average weight of the four babies will be more than 7.5 lbs = P(X bar > 7.5 lbs)

P(X bar > 7.5) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{7.5-7}{\frac{0.875}{\sqrt{4} } }$ ) = P(Z > 1.1428) = 0.1283 (using z% table)

Therefore, the probability that the average weight of the four babies will be more than 7.5 lbs is 0.1283 .

8 0

4 years ago

Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance,

MAVERICK [17]

Answer:

$y=300(1+0.16)^x$

Step-by-step explanation:

<h2>This account can be modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>

$A= P(1+r )^t$

Where

A =final amount = y

P=initial principal balance = $300

r=interest rate = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

$y=300(1+0.16)^x$

5 0

3 years ago

How can you represent the relationship between paired data and use the

steposvetlana [31]

Answer:

A graph that is good for paired data called a scatterplot. The graph has one coordinate axis and symbolises the paired data.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Simplify the expression:<br><br> Do not use any spaces.<br><br> 5x−3x+2x−x

Lana71 [14]

= (5x - 3x) + (2x - x)

= 2x + x

= 3x

Note: 1x is the same as ‘x’

1x = x

3 0

3 years ago

Which equation represents a circle with the same radius as the circle shown but with a center (-1, 1)

mylen [45]

Answer:

Option 4: (x+1)^2+(y-1)^2 = 16

Step-by-step explanation:

The radius of the given circle in attached picture is: 4 units

The center is denoted by (h,k) = (-1,1)

So,

The standard form of equation with center at (h,k) and radius r

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

Putting the values

(x-(-1))^2 + (y-1)^2 = 4^2

(x+1)^2+(y-1)^2 = 16

Hence option number 4 is correct ..

3 0

4 years ago