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What is the probability that the average of four babies' weights will be within .6 pounds of the mean; will be between 8.4 and 9.6 pounds

Answers

Answer 1

Answer:

The probability will be "0.7497".

Given:

Mean,

Standard deviation,

Number of babies,

The standard error of sample will be:

→ $S.E. = (sd)/(√(n) )$

$= (0.6)/(√(4) )$

$= (0.6)/(2)$

$= 0.3$

hence,

→ P(4 babies will be between 8.4 - 9.6 pounds)

$P(8.4 \leq X \leq 9.6) = (((8.4-9))/(0.3) \leq X \leq ((9.6-9))/(0.3) )$

$= P(-2 \leq X \leq 2)$

$= P(Z \leq 2) - P(Z \leq -2)$

$= 0.9772-0.2275$

$= 0.7497$

Thus the above response is right.

Learn more:

brainly.com/question/14008215

Answer 2

Answer:

Complete question:

Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.

Answer: 0.7497

Step-by-step explanation:

Mean = 9

sd = 0.6

n = 4

P(4 babies will be between 8.4 and 9.6 pounds)

P(8.4 ≤ X ≤ 9.6)

Standard error of the sample (S. E) :

S. E = sd/√n

= 0.6 /√4

= 0.6/2

= 0.3

P(8.4 ≤ X ≤ 9.6)= ((P(8.4 - 9) / 0.3) ≤ X ≤ (9.6 - 9)/0.3)

P(8.4 ≤ X ≤ 9.6) = P(-2 ≤ X ≤ 2)

P(Z ≤ 2) - P(Z < - 2)

0.9772 - 0.2275 = 0.7497

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The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

Answers

Answer:

52.5°

Step-by-step explanation:

Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.

To Find : The measure of ∠WXZ is ?

Solution:

∠WXY = 105°

The ray XZ is the angle bisector of ∠WXY

This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY

So, ∠WXY = ∠WXZ + ∠ZXY

∠WXY = 2∠WXZ

$105 = 2 \angle WXZ$

$52.5 =\angle WXZ$

Hence The measure of ∠WXZ is 52.5°

∠WXZ = 52.5°

∠WXY = 105°

and ∠WXY = ∠WXZ + ∠ZXY

∠WXZ = $(105)/(2)$ = 52.5°

The salary of members of two governing bodies in 2008 was $167.2

167.2 thousand, and has increased by approximately $

2

2 thousand per year since then.

Complete parts a. and b.

Answers

Complete Question

The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).

(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.

Number of years and salaries of members of the two governing bodies

$\left|\begin{array}{c|c}-------&------\n$Years since 2008&$Salary (thousands of dollars)\n-------&------\n0&(2*--) + --\n1&(2*--) + --\n2&(2*--) + --\n3&(2*--) + --\n4&(2*--) + --\nt&(2*--) + --\end{array}\right| \n$

(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?

Answer:

(a) $S(t)=2t+167.2$

(b) S(5)=$177.2 thousand.

Step-by-step explanation:

(a)

The salary increases by $2 thousand per year since 2008. Therefore, the completed table is below:

$\left|\begin{array}{c|c}-------&------\n$Years since 2008&$Salary (thousands of dollars)\n-------&------\n0&(2\cdot 0) + 167.2\n1&(2\cdot 1) + 167.2\n2&(2\cdot 2) + 167.2\n3&(2\cdot 3) + 167.2\n4&(2\cdot 4) + 167.2\nt&(2\cdot t) + 167.2\end{array}\right| \n$

Therefore, an expression that gives the salary (in thousands of dollars) of members of the two governing bodies t years since 2008 is:

$S(t)=2t+167.2$

(b)

When t=5

$S(5)=2*5+167.2\nS(5)=177.2$

This means that 5 years after 2008 (i.e Year 2013) the salary of members of the two governing bodies will be approximately$177.2 thousand.

Convert each measure to the equivalent metric unit.8 cm = mm
7 km = m
18 g = kg
43 kg = g
234 L = mL
1 346 mL = L
0.81 km = cm
0.05 dm = dam
1.32 cg = kg
3.7 mcg = mg

Answers

Answer..

Q 1, 80 mm

2, 7000

Which table represents the statement "Brian rides a bicycle at a rate of 12 meters per second"? Seconds /meters

Answers

Answer:

Step-by-step explanation:

The rate of 12 meters per second means that the constant of proportionality (k) or slope = 12.

That is m/s = 12.

The table that has a constant of proportionality that equals 12 is the table that represents the statement given.

The table in option D has a constant of proportionality of 12, since the ratio of m/s for all its given pair of values will give us 12 all through.

Answer:

I think your answer is B

Step-by-step explanation:

The principal is Rs.30,000 the interest rate is 12%. Calculate the total value after 2 yearusing compound interest.

Answers

Total value=
112/100 x 112/100 x 30,000
= 37632 Rs

Answer:

37632

Step-by-step explanation:

An=A(1+12%)²

Which choice is equivalent to the product below?Vovino
O A. 4,/25
B. 2V50
O C. 5,2
O D. 10
SUBMIT

Answers

$√(2) . √(10) . √(5) \n = √(2 * 10 * 5) \n = √(100) \n = 10$

Answer:

D.10

Hope you could get an idea from here.

Doubt clarification - use comment section.

10

2*10*5= 100
Square root of 100 is 10

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