Answer:
63.68 months
Step-by-step explanation:
We solve this question with z score formula
z = (x-μ)/σ, where
x is the raw score ???
μ is the population mean = 4 years
Since the final answer would be in months, we would convert mean to months
= 1 year = 12 months
4 years = x months
= 12 × 4 = 48 months
σ is the population standard deviation = 8 months
z = the z score for 95% confidence interval = 1.96
1.96 = x - 48/8
1.96 × 8 = x - 48
15.68 = x - 48
x = 15.68 + 48
x = 63.68 months
Evaluate
4x4+ (2x3)x 9+11+1
Answer:
82
Step-by-step explanation:
calculator
Help please thanks :)
Answer:
the answer is part 3 : exactly 30 .....
5/8 + 3/4
_________
-2/3 - 5/6
What does it equal? Please solve.
The length of a rectangle is 5 inches less than twice its width. The perimeter of the rectangle is 26 inches. What is the width of the rectangle?
Answer:
w= 6
Step-by-step explanation:
I just started by making an educated guess using the values already given. Then I inserted that into the problem to see if it worked.
L= 2w - 5
I used 6 as a random, educated guess for the value of w.
L = 2(6) - 5
L = 12-5
L = 7
Then, multiply L by 2 to account for both side lengths of the rectangle.
7(2)= 14
Subtract that value from the total perimeter to find what the width must equal.
26 - 14 = 12
Divide that answer by 2 since there are two sides for width.
12/2 = 6
I know this was kind of long, but I hope it helps! :)
Justin bought 40 packs of baseball cards for $64, if he sells 10 packs how much should he charge?
Answer:
14 dollars
Step-by-step explanation:
If he sells 10 packs, then it will be 4 times less than 40, which means that the pricwe will be 4 times less, or 64 dollars divided by 4 = 14 dollars
What are decimals? (And their place values.)
Answer:
The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.
hope that helps!
Answer:
A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place.
Step-by-step explanation:
what is the slope intercept form of 7,-1 5,6
Answer:
[tex]y = - \frac{7}{2} x + \frac{47}{2}[/tex]
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.
Answer:
The 90% confidence interval is [tex]15.66< \mu < 15.94 [/tex]
Step-by-step explanation:
From the question we are told that
The population standard deviation is [tex]\sigma = 2.2[/tex]
The sample mean is [tex]\= x = 15.8 \ gallon[/tex]
The sample size is n = 669
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.645 * \frac{ 2.2}{\sqrt{669} }[/tex]
=> [tex]E = 0.1399[/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]15.8 - 0.1399 <\mu< 15.8 + 0.1399 [/tex]
=> [tex]15.66< \mu < 15.94 [/tex]
In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?
Answer:
about 37.31 inches of space
Step-by-step explanation:
In this case, you would need to find the area of a cylinder with these dimensions.
Formula: 2πrh+2πr²
The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.
2π(1.25)(3.5)+2π(1.25)²
2π4.375+2π1.5625
8.75π+3.125π
37.3064128
about 37.31 inches of space
PLEASE HELP ASAP
IT'S AN EMERGENCY
Answer:SSS
Step-by-step explanation:
Choose all pairs of points that are reflections of each other across both axes.
A. (–4 1/2, 1) and (–1, 4 1/2)
B. (2.5, –1) and (–2 1/2, 1)
C. (4.2, –1) and (2.4, –1)
D. (1, –2.25) and (–1, 2 1/4)
E. (–2, 2 1/3) and (2, 2 1/3)
Answer:
c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Given a central angle of 252° and an arc length of 44 ft, determine the radius.
Answer:
10ft
Step-by-step explanation:
Given parameters:
Central angle = 252°
Arc length = 44ft
Unknown:
Radius = ?
Solution:
To find the radius of the circle, let us use the expression;
Arc length = [tex]\frac{central angle}{360}[/tex] x 2πr
Insert the parameters and solve for r,
44 = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r
44 = 4.4r
r = 10ft
What is the slope of the line represented by
y – 3 = 4(x + 7)?
Answer: 4
Step-by-step explanation:
Blush Cosmetics is having a sale for
40% off all makeup. If Suzie buys
$110 worth of makeup, how much
will she pay?
Answer:
$66.00
Step-by-step explanation:
What you do is you times 110 x 44 and then you do 110-44 which you should get this $66.00
A veterinarian interested in studying the causes of enteroliths in horses suspects that a diet high in alfalfa may be a cause. The veterinarian decides to use the following design: identify 30 horses at high risk for enteroliths and divide them into groups 10 groups of 3 horses. Some groups consisted of horses in barn stalls, some groups consisted of horses in outdoor paddocks, and some groups consisted of horses in pasture. Within each group one horse is randomly assigned to an alfalfa diet, one is assigned to a grass hay diet, and one horse is fed oat hay. When a horse is in pasture all the other horses in pasture will also receive the diet of the study horse. Therefore, only one horse could be selected from the same pasture. This study has:
Answer:
Randomized block design
Step-by-step explanation:
A randomized block design is essentially an experimental design where the units of the experiment are in groups which are called blocks. Now, treatments are usually randomly allocated to the units of experiment inside each block and when all the treatments appear a minimum of one time in each block, we can conclude that we have achieved a completely randomized block design.
Now, in the question we see that the experimental units which is the "30 horses at high risk for enteroliths" are divided into 3 groups. We can call these groups blocks. Now we see that further treatments such as alfalfa diet, grass hay diet and oat hay diet are assigned to different horses each within those groups/blocks.
Now, this description fits the definition of a randomized block design given above.
Thus, the study is a randomized block design
Can someone please help, ty!!
(Will mark brainliest)
PLS HELP WILL GIVE BRAINLIEST & 100 POINTS PLEASE GIVE CORRECT ANSWER!!!
Part 1: The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
Part 2: What is the rate of change in the equation from Part 1?
My Data:
Foot Length Forearm length
7 9
8 10
9 11
10 12
11 13
Rate of Change: 2
Compare the equation from Part 1 to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Part 3: Is the relation in your data a function? Why or why not? Could the equation in Part 1 represent a function? Why or why not? Explain your answer.
Answer:
The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.860 • (length of the forearm) + 3.302 If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302.
Step-by-step explanation:
PLEASE HELP(look at picture)!
Answer:
see the picture there is the answer
A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention on four randomly chosen students during the exam.
a. What is the probability that he finds at least one of the students cheating? Round your intermediate calculations and final answers to 4 decimal places.Probability_____b. What is the probability that he finds at least one of the students cheating if she focuses on four randomly chosen students? Round your intermediate calculations and final answers to 4 decimal places.Probability_____
Answer:
a
[tex]P(X \ge 1) = 0.509 [/tex]
b
[tex]P(X \ge 1) = 0.6807 [/tex]
Step-by-step explanation:
From the question we are told that
The number of students in the class is N = 20 (This is the population )
The number of student that will cheat is k = 3
The number of students that he is focused on is n = 4
Generally the probability distribution that defines this question is the Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.
Generally probability mass function is mathematically represented as
[tex]P(X = x) = \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}[/tex]
Here C stands for combination , hence we will be making use of the combination functionality in our calculators
Generally the that he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as
[tex]P(X \ge 1) = 1 - P(X \le 0)[/tex]
Here
[tex]P(X \le 0) = \frac{ ^{3} C_0 * ^{20 - 3} C_{4- 0}}{ ^{20}C_4}[/tex]
[tex]P(X \le 0) = \frac{ ^{3} C_0 * ^{17} C_{4}}{ ^{20}C_4}[/tex]
[tex]P(X \le 0) = \frac{ 1 * 2380}{ 4845}[/tex]
[tex]P(X \le 0) = 0.491[/tex]
Hence
[tex]P(X \ge 1) = 1 - 0.491[/tex]
[tex]P(X \ge 1) = 0.509 [/tex]
Generally the that he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as
[tex]P(X \ge 1) = 1 - P(X \le 0)[/tex]
[tex]P(X \ge 1) =1- [ \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}] [/tex]
Here n = 6
So
[tex]P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}] [/tex]
[tex]P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}] [/tex]
[tex]P(X \ge 1) =1- [ \frac{1 * 12376}{38760}] [/tex]
[tex]P(X \ge 1) =1- 0.3193 [/tex]
[tex]P(X \ge 1) = 0.6807 [/tex]
If you pls help lol I only have 52 mins left
Step-by-step explanation:
[tex]2y + 106 = 180[/tex]
[tex]y = 106 \div 2 = 53[/tex]
[tex]y = 53[/tex]
[tex]4z + 16 = 180[/tex]
[tex]4z = 180 - 16[/tex]
[tex]z = 164 \div 4 = 41[/tex]
and the answer for x is 106
Graph the system. Tell whether the system hlas no solution, one solution, or infinitely many solutions.
y = 4.2 – 3
y + 3 = 40
Please help me!!! URGENT!!!!
Look at the image!!!!
Answer:
It looks as though it would be A because it starts at 30 and goes up steadily by 5. B increases too quickly, C does not increase, and D decreases.
Step-by-step explanation:
Peach Produces pays its employees by the formula of P(b) = 5/2b + 45 ,where p(b) is the employee's total pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?
A. $2.50
B. $5.00
C. $2.00
D. $45.00
Answer:
The rate is $2.5
Step-by-step explanation:
Given that the expression for the pay of employee is given as
P(b) = 5/2b + 45
we can simplify the fraction and write it as decimal as
P(b) = 2.5b + 45
This means that the employees have a fixed pay of $45
and also a rate of $2.5 per peaches picked
therefore the answer is A. $2.5
The rate is $2.5
The following equation represents the total price of hot dogs, p=3.25h. How many hot dogs can you buy with $32.00? Hint: Be sure to round appropriately for the situation.
A. 8
B. 9
C. 10
D. 11
E. 104
Answer:
Appropriately 10 hot dogs
Step-by-step explanation:
Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?
Answer:
[tex]\angle ABD =42.4^{\circ}[/tex]
Step-by-step explanation:
We are given that Point C is in the interior of ∠ABD
We are also given that ∠ABC ≅ ∠CBD
Now ,
[tex]\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)[/tex]
Since we are given that ∠ABC ≅ ∠CBD
So, [tex]\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3[/tex]
[tex]\angle CBD = (4x)=4(5.3)=21.2^{\circ}[/tex]
[tex]\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}[/tex]
Hence [tex]\angle ABD =42.4^{\circ}[/tex]
In a normal distribution, what is true about the mean, median and the mode?
Answer:
Equal to each other.
Step-by-step explanation:
The mean and median of a normal distribution are both equal to the mode. In other words, the mean, median, and mode of a normal distribution are all the same.
A cereal company estimates that its monthly cost is
C(x) = 400x2 + 300x and its monthly revenue is
R(x) = -0.6x3 + 900x2 – 400x + 700, where x is in thousands of
boxes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
P(x)= -0.6x^3 + 500x^2
Step-by-step explanation:
given data
monthly cost
C(x) = 400x^2 + 300x
revenue is
R(x) = -0.6x^3 + 900x^2 – 400x + 700,
where x is in thousands of boxes sold.
we know that the profit is the difference between the revenue and the cost.
therefore P(x)=R(x)-C(x)
P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )
P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x
P(x)= -0.6x^3 + 500x^2
Calcula la circunferencia y el círculo con estos datos Radio: 8 cm. CF= ?
Answer:
50.27Step-by-step explanation:
Solve graphically, 2x^2+2x-4=0
What is the slope of the line below?
(2,4)
(-4,-2)
A. zero
B. negative
C. undefined
D. positive
Answer: d. positive.
Step-by-step explanation: the graph shows a line that is increasing.
