Complete Question
A random sample of 114 observations produced a sample mean of 30. Find the critical and observed values of z for the following test of hypothesis using α=0.01. The population standard deviation is known to be 5 and the population distribution is normal.
[tex]H_o: \mu =28[/tex] versus H1: μ>28.
Round your answers to two decimal places.
[tex]z_{critical} =[/tex]
Answer:
[tex]z_{critical} = 2.33[/tex]
The observed value is [tex] z = 4.27 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 114
The sample mean is [tex]\= x = 30[/tex]
The significance level is [tex]\alpha = 0.01[/tex]
The population standard deviation is [tex]\sigma = 5[/tex]
The null hypothesis is [tex]H_o: \mu =28[/tex]
The alternative hypothesis is H1: μ>28.
Generally the test statistics (observed value ) is mathematically represented as
[tex] z = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } } [/tex]
=> [tex] z = \frac{ 30- 28 }{ \frac{5}{\sqrt{114} } } [/tex]
=> [tex] z = 4.27 [/tex]
From the normal distribution table the critical value of [tex]\alpha = 0.01[/tex] is
[tex]z_{critical} = 2.33[/tex]
Annie needs to change the price of a pile of sweaters. She is told to apply a discount function on each price, d(p)=.85p
d
(
p
)
=
.85
p
, and then increase the resulting price: r(p)=p+10
r
(
p
)
=
p
+
10
.
What is the function that Annie can use to calculate both price changes?
f(p)=0.85p+(p+10)
f of p is equal to 0 point 8 5 p plus open paren p plus 10 close paren
r(d(p))=0.85p+10
r times open paren d times p close paren is equal to 0 point 8 5 p plus 10
f(p)=0.85p⋅(p+10)
f of p is equal to 0 point 8 5 p times open paren p plus 10 close paren
d(r(p))=0.85p+8.50
d times open paren r times p close paren is equal to 0 point 8 5 p plus 8 point 5 0
Answer:
Step-by-step explanation:
0.85 + 10
The function that Annie can use to calculate both price changes is f(p) = 1.85p+10. Therefore, option A is the correct answer.
Given that, a discount function on each price, d(p)=0.85p and then increase the resulting price is r(p)=p+10.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Now, the function that Annie can use to calculate both price changes
f(p) = d(p)+r(p)
⇒ f(p) = 0.85p+(p+10)
⇒ f(p) = 1.85p+10
The function that Annie can use to calculate both price changes is f(p) = 1.85p+10. Therefore, option A is the correct answer.
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y=2/3x-4 i need help i do not get this does anybody know slopes
Step-by-step explanation:
slope in this case is 2/3
this equation is in slope intercept form
y=mx+b
m is slope
and b is y-intercept
so
m =2/3
b=-4
Answer: The slope is 2/3 (0.666...)
Step-by-step explanation: The slope is the coefficient of X in slope-intercept form. y=2/3x-4 is in slope-intercept form (y=mx+b) m = slope, b = y-intercept (the Y value when the X is equal to 0)
On a graph, it looks like this:
-(7x + 9) = -6(x + 4)
Answer:
x = 21
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 21
Is -168.5 a rational number?
Answer:
yes
Step-by-step explanation:
All integers are rational numbers since they can be divided by 1, which produces a ratio of two integers. Many floating point numbers are also rational numbers since they can be expressed as fractions.
hopefully it's right sorry if it's wrong
y = 4x.
a. Complete the table for the given x-values.
y
-2
-1
0
1
2
Answer:
1. -1/2
2.-1/4
3.0
4.1/4
5.1/2
8(4K-4)=-5k+42 find k
Answer:
K = 2
Step-by-step explanation:
Simplifying
8(4k + -4) = -5k + 42
Reorder the terms:
8(-4 + 4k) = -5k + 42
(-4 * 8 + 4k * 8) = -5k + 42
(-32 + 32k) = -5k + 42
Reorder the terms:
-32 + 32k = 42 + -5k
Solving
-32 + 32k = 42 + -5k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '5k' to each side of the equation.
-32 + 32k + 5k = 42 + -5k + 5k
Combine like terms: 32k + 5k = 37k
-32 + 37k = 42 + -5k + 5k
Combine like terms: -5k + 5k = 0
-32 + 37k = 42 + 0
-32 + 37k = 42
Add '32' to each side of the equation.
-32 + 32 + 37k = 42 + 32
Combine like terms: -32 + 32 = 0
0 + 37k = 42 + 32
37k = 42 + 32
Combine like terms: 42 + 32 = 74
37k = 74
Divide each side by '37'.
k = 2
Simplifying
k = 2
A ball if thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet. Which statement is true?
Answer: The maximum height of the ball was 2.5 seconds after it was thrown.
Step-by-step explanation:
As shown in the table, the ball started coming down after the third second and yet the height at both the second and third seconds were the same. This means that the ball hit its highest extent between the second and third seconds.
Taking an average of these digits will give;
= (2 + 3) / 2
= 2.5 seconds
The ball therefore hit its highest level at 2.5 seconds and then started its descent.
substitute x=3 into 3x-x²
Answer:
i wish i could help
Step-by-step explanation:
For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? What is the probability that the number of days of vacation taken is more than 21 days? Discuss the solutions and an explanation. Respond to your peers’ posts and offer your feedback on this topic.
Answer:
The answer is below
Step-by-step explanation:
The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days?
Answer: Z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}\\ \\x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that: μ = 14, σ = 3
a) For x < 10
[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{10-14}{3}=-1.33[/tex]
From the normal distribution table, P(x < 10) = P(z < -1.33) = 0.0918
b) For x > 21
[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{21-14}{3}=2.33[/tex]
From the normal distribution table, P(x > 21) = P(z > 2.33) = 1- P(z < 2.33) = 1 - 0.9901 = 0.0099
Help me solve this equation!!!!!
Answer:
[tex]2x^{2} = 128[/tex]
I hope this helps!
Which expression is equivalent to 6^4 x 6^3?
A. (6x6x6x6)+(6x6x6)
B. (6+6+6+6) x (6+6+6)
C. (6x6x6x6) x (6x6x6)
D. (6x6x6x6x6) x (6x6x6x6)
Answer:
C
Step-by-step explanation:
!!!
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
Answer:
Z = 16Y
For instance, let's say we want to know how many ounces there are in 2 pounds.
We'd enter in Z = 16(2). This would be simplified to Z = 32. Now, we know that there are 32 ounces in 2 pounds.
A study of 1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time. What is the probability of a flight arriving on time? 399/500 500/399 101/500 500/101
Answer:
399/500
Step-by-step explanation:
the reason for this is because the area of the devision "1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time" means that this is divided into places to make a full example
The probability of event of a flight arriving on time will be -
P(A) = 399/500.
What is Probability?
Probability is the extent to which an event is likely to occur and is measured by the ratio of the favorable cases to the total number of cases possible.
Given is a study of 1000 randomly selected flights of a major airline which showed that 798 of the flights arrived on time.
Let event A represents the arrival of flight on time.
Total number of favorable cases = 798
Total number of possible cases = 1000
Then the probability of event A will be -
P(A) = 798/1000 = 399/500
Therefore, the probability of event of a flight arriving on time will be -
P(A) = 399/500
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a dice in the shape of a tetrahedron is rolled find the total number of outcomes
Function g is a transformation of the parent exponential function, . Which graph shows function g?
A.
B.
C.
D.
Find the gcf of 24x - 6
Answer:
6(4x-1)
Step-by-step explanation:
АВ түзуіне жататын С нүктесі мен ол жататын
Answer:
АВ түзуіне жататын С нүктесі мен ол жататынАВ түзуіне жататын С нүктесі мен ол жататын
Step-by-step explanation:
АВ түзуіне жататын С нүктесі мен ол жататын
Please help me with this! $1200; 4%; 8 months
a) $48
b)_$36
c) $384
ASAP helppppppp
thank you:)
Answer:
i think it 4
Step-by-step explanation:
good luck ( think it's 4, not 100%)
:)
A number divided by 3 is no more than 12.
Answer:
x/3<12
Step-by-step explanation:
Evaluate the formula
, where , , and n.
Answer:
um what is the question
Step-by-step explanation:
Numbers After watching some fish 55 feet below the surface of the water, a scuba diver went up 20 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface. -70-80 50 40 30 20 -10 0 10 20 30
Answer:
-55+20= -35
Step-by-step explanation:
The diver is 55 feet below the surface of the water. He then swims up 20 feet. Add 20 to -55 and you get -35. The diver is now 35 feet below the surface
What is the distance between the points (4, -2) and (-5,3)?
Answer:
(5,-9)
Step-by-step explanation:
use formula [tex]y^2-y^1/x^2-x^1[/tex]
so, 3-(-2)/-5-4
which gives you (5,-9)
Given that (x−1)^2 is a factor of ax^3+bx^2+1 , find a and b .
Key in the answer in the form a, b
Answer:
[tex]a=1[/tex]
[tex]b=-1[/tex]
Step-by-step explanation:
Once [tex](x-1)^2[/tex] is a factor and [tex](x-1)^2 = (x-1)(x-1)[/tex], we have that two roots of the cubic equation are equal to 1. So,
[tex]ax^3+bx^2+1 = (x-1)(x-1)(x-d)=0[/tex]
As [tex]d[/tex] the unknown root.
Expanding
[tex]ax^3+bx^2+1 = (x-1)(x-1)(x-d)=0[/tex]
[tex]ax^3+bx^2+1 = (x^2-2x+1)(x-d)=0[/tex]
[tex]ax^3+bx^2+1 = x^3-2x^2+x-dx^2+2dx-d=0[/tex]
Now, comparing the two expressions, we have
[tex]ax^3+bx^2+1 = x^3+(-2-d)x^2+(1+2d)x-d=0[/tex]
Therefore, know we know
[tex]a=1[/tex]
[tex]b=-2-d[/tex]
[tex]d=-1[/tex]
So,
[tex]b=-2-(-1)=-2+1=-1[/tex]
Your plan calls for using apprentice plumbers in place of fully licensed plumbers for some jobs. If the apprentice plumbers
are 60% as productive as licensed plumbers and licensed plumbers cost $60 per hour, what is the most you should pay for apprentice
plumbers?
A) $8
B) $36
C) $60
The payment made for apprentice plumbers is $36.
Given that,
There is 60% as productive as licensed plumbers.And, the cost of licensed plumbers is $60 per hour.Based on the above information, the calculation is as follows:
[tex]= 60\% \times \$60[/tex]
= $36
Therefore we can conclude that the payment made for apprentice plumbers is $36.
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what is simplify the expression.
2/3y+1/6y+y =?
Messages arrive at a computer at an average rate of 25 messages per second. The number of messages that arrive in 1 second is known to be a Poisson random variable. a. Find the probability that no message arrive in 1 second. b. Find the probability that more than 5 messages arrive in a 10-second period.
Answer:
a)[tex]1.3887943865 \times 10^{-11}[/tex]
b)P(X>5)=1
Step-by-step explanation:
[tex]P(X=x)=\frac{e^{-\lambda} \lambda^k}{k!}[/tex]
We are given that Messages arrive at a computer at an average rate of 25 messages per second.
[tex]\lambda = 25[/tex]
a) Find the probability that no message arrive in 1 second.
[tex]P(X=0)=\frac{e^{-25} (25)^0}{0!}\\P(X=0)=\frac{e^{-25} (25)^0}{0!}\\P(X=0)=1.3887943865 \times 10^{-11}[/tex]
b) Find the probability that more than 5 messages arrive in a 10-second period.
[tex]P(X>5)=1-P(X \leq 5)[/tex]
[tex]P(X>5)=1-\sum_{0}^{10} (P(X=0)+P(X=1)+........+P(X=5))[/tex]
P(X>5)=1
How do I find a ratio table that looks like this
Answer:
Ok what is something times 4 to give you 24 that's 6 so what is something times 6 that will give you 18 thats 2 so then what times 6 will give you 60 thats 10 and the same thing for 5 ,5 times 6 equals 30.
Step-by-step explanation:
4/24 is dividing = 6
18/6 = 2
60/6=10
5 x 6 = 60
6,2,10,60 are your answers
Answer:
It's not that hard. Use your eyes to look for it.
Step-by-step explanation:
When water is heated on a stove, which kind of energy is transferred from the element to the water? O A) element energy OB) heat energy O C) kinetic energy OD) thermal energy
Answer:
od
Step-by-step explanation:
When water is heated on a stove, thermal energy is transferred from the element to the water.
What is Energy?Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.
Given that When water is heated on a stove.
We need to find the type of energy is transferred from the element to the water.
Boiling water on a stove is an example of thermal energy.
Thermal energy refers to the energy contained within a system that is responsible for its temperature.
Heat is the flow of thermal energy.
Thermal energy is produced when the atoms and molecules in a substance vibrate faster due to a rise in temperature.
Hence, When water is heated on a stove, thermal energy is transferred from the element to the water.
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A deep sea exploring ship is pulling up a diver at the rate of 20 feet per minute. The diver is a hundred feet below sea level. How deep was the diver 3 minutes ago?
Answer:
60 Feet Deep
Step-by-step explanation:
It says that you go 20 feet a minute and you 3 minutes ago would be 20x3