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3 years ago

What is the value of p

Mathematics

1 answer:

Serjik [45]3 years ago

8 0

Answer:

p = 2

Step-by-step explanation:

p + 4/p - 4

multiplying through by p,

p×p + 4/p ×p - 4×p

p² + 4 - 4p = 0

p² - 4p + 4 = 0

factorizing,

p(p - 2) -2(p - 2) =0

(p -2)(p -2) =0

p-2 =0

p=2

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Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 50 people is picked f

Alex

Answer:

Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

Step-by-step explanation:

To yield a more accurate estimate of the population mean, margin of error should be minimized.

margin of error (ME) of the mean can be calculated using the formula

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in the given confidence level(z-score or t-score)

s is the standard deviation of the sample (or of the population if it is known)

N is the sample size

for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.

Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.

Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

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4 years ago

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r-ruslan [8.4K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Tasya [4]

The coordinates of point F are (15/4 , -5/2)

The coordinates of point G = (-3/4 , -3)

<h3>What is the coordinates about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

E is the mid-point of AB
D is the mid-point of AE
F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1) and B (x2 , y2), Then x = (x1 + x2)/2 and that of y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then E =[(-3 + 6)/2, (-1 + -3)/2]

= (3/2 , -2)

Since F is the mid-point of EB,

E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

= (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then D = [(-3 + 3/2)/2 , (-1 + -2)/2]

= (-3/4 , -3/2)

Note also that:

BC is said to be an horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then y-coordinate of G is = -3

Since DG ⊥ BC

Then DG = vertical segment

So G has similar x-coordinate of D

Then The x-coordinate of G = -3/4

The G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

#SPJ1

6 0

1 year ago

Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is

Step2247 [10]

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

5 0

3 years ago

Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3

VMariaS [17]

Answer:

Step-by-step explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3: 3y = -2x - 2

Now add 2x to both sides, obtaining: 2x + 3y = -2 (in "standard form."

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3 years ago