A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate . Use z-table.
What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Step-by-step explanation:
Sol
Given that ,
mean =300
standard deviation =a =70
n=100
ux=128
a ) within 6 =300 +/-6 : 294, 306
P(294' ' 306)
: P(-0.86 : Z ' 0.86)
: P(Z ' 0.86) - P(Z ' -0.86)
Using z table,
: 0.8051-0.1949
: 0.6102
Probability : 0.6102
a ) within 18 =300 18 : 294, 318
P(294' ' 306)
: P(Z ' 2.57) - P(Z ' -2.57)
Using z table,
:0.9949-0.0051
:0.9898
Probability =0.9898
Please help asap please help
Answer:
C. 40 + (-58) + 160Step-by-step explanation:
It would be easier with C., the other options are already easy to calculate
40 + (-58) + 160 = 40 + 160 + (-58) = 200 - 58 =142The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angle HGD and HGI are adjacent angle
hope it helps
Which of the following represents the domain and range for the logarithmic
function below?
Help please
PLEASE ANSWER ASAP FOR BRIANLEST DUE IN 3 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 3rd one
Step-by-step explanation:
What is 9 1/2 plus 12 11/20
Answer:
[tex]22\frac{1}{20}[/tex]
Step-by-step explanation:
mark me Brainllest
Answer:
Exact Form: 441/20
Decimal Form: 22.05
Mixed Number Form: 22 1/20
Surface area is always measured in square units. True False
Answer:
The answer is True.
Answer:
True
Step-by-step explanation:
Area is always measured in square units, also including surface area
Multiplying Polynomials write in standard form
(x+3)(x+4)
Answer:
x² + 7x + 12
Step-by-step explanation:
1. (x +3)(x+4) - Distribute
2. x² + 4x +3x + 12 - Add like terms
3. x² +7x + 12
A cylinder has a volume 8m cube and a height of 2m.find the base radius of the cylinder.
Answer:
1.12838m or 1.13m
Step-by-step explanation:
hope this helps
Find 3 consecutive even integers such that 5 times the second is 82 more than the first .
Sin 17° cos 13° + cos 17° sin 13°
Answer:
.5
Step-by-step explanation:
Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)
sin(17+13) = 1/2
18x + 3y = 33 What is the y intercept form of this equation?
Answer: look at the picture
Step-by-step explanation: Hope this help:D
Answer: y=-6x+11
Step-by-step explanation:
hello please help me i need to finish today
Answer:
I think it’s a reflection followed by a transformation
Step-by-step explanation:
Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.
Answer:
B
Step-by-step explanation:
Makes the most since
Can somone Provide some assistance?
THANKS
HAHHAHAHAHAHAHAHAHAHAHAHAHAHA
Please help me ASAP please
Answer:
Step-by-step explanation:
the first sounds like J/9=5, which in an equaiton could be written as 5=j/9.
Then to solve for j you can multiply both sides by 9. This would create j=45. Hopefully this is helpful!
Answer:
[tex]\frac{j}{9}[/tex] = 5 is the equation, j = 45 is the answer.
Step-by-step explanation:
J divided by 9 is 5.
[tex]\frac{j}{9}[/tex] = 5.
Multiply by 9 to find the answer.
j = 5 * 9
j = 45.
Graph the function.
f(x)=5/9(x+9)(x+3)
Answer: i inserted two just incase but tell me if i am wrong
Step-by-step explanation:
a theater has 32 rows of seats. if there are 15 seats in the first row, 19 seats in the 2nd row, 23 in the 3rd row, and so on, how many seats total are there in all
Answer:
2464
Step-by-step explanation:
I added it up :)
What is the solution to the inequality x2 + 5x ≥ 6?
Answer:
x ≤ –6 and x ≥ 1
Step-by-step explanation:
Please can anyone answer this question
40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.
a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared
Answer:
a.
Step-by-step explanation:
diameter 7cm
radius 3.5cm
area =πr²
=22/7* 3.5²
=38.47cm²
circumference=πd
=22/7* 7
=22cm
Answer:
a. C = 21.98cm and A = 38.47cm squared
Step-by-step explanation:
Diameter is twice the radius. Therefore radius, r, is 3.5cm.
Circumference = 2πr =2π(3.5)=7π=21.98cm
Area=πr²=π(3.5²)=12.25π=38.47cm²
X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?
Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or
x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .
Step-by-step explanation:
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis
Answer:
Alternative Hypothesis:H₁: μ ≠ 0.41
Step-by-step explanation:
Step(i):-
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
Step(ii):-
Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.
Given data
Null hypothesis: H₀ : μ = 0.41
Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis
Alternative Hypothesis:H₁: μ ≠ 0.41
I have this trigonometry worksheet, I just need help with questions from 18 to 28. thanks :)
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answer:
x = 10
Step-by-step explanation:
I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:
6² + 8² = x²
100 = x²
x = √100
x = 10
Find the area of the composite figure
Answer:
196 ft
Step-by-step explanation:
Bc im guessing
Mark as smartest and Brainliest
If f(x) = 2x+3 and g(x) = x^2 + 1, find f(g(3)).
Answer:
23
Step-by-step explanation:
g(3) = 3²+1 = 10
f(g(3)) = 2(10) + 3
= 23
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Malala is following this recipe for bread rolls.
She uses 400 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answer:
Salt = 8 g
Yeast = 6.4 g
Oil =24 ml
Water = 280ml
Step-by-step explanation:
[tex]Salt = \frac{10}{500}*400 = 2*4 = 8[/tex]
[tex]yeast =\frac{8}{500}*400= \frac{32}{5}=6.4[/tex]
[tex]Oil =\frac{30}{500}*400=6*4=24 ml[/tex]
[tex]Water = \frac{350}{500}*400=70*4=280 ml[/tex]