Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is [tex]\= x = 5.3 \ mpg[/tex]
The standard deviation is [tex]\sigma = 1.8 \ mpg[/tex]
The z-score is z = -1.94
The null hypothesis is [tex]H_o : \mu = 6 \ mpg[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 6[/tex]
Generally the p-value is mathematically evaluated as
[tex]p-value = 2 * P( Z <-1.94)[/tex]
From the z table the area under the normal curve to the left corresponding to -1.94 is
[tex]P( Z <-1.94) = 0.02619[/tex]
=> [tex]p-value = 2 * 0.02619[/tex]
=> [tex]p-value = 0.052[/tex]
Let assume the level of significance is [tex]\alpha = 0.05[/tex]
Hence the [tex]p-value > \alpha[/tex] this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence
if p (x) =30(x+4)+26 what is the value of p(-8)
60 pounds what percentage of the weight limit is 33 pounds
Answer:47%
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The average emergency room cares for 300 patients each day. There are 20 nurses on duty at the emergency room each day, and they share the patient load equally.
Answer: 15
Step-by-step explanation:
You didn't say what you need to calculate but I guess that you want to calculate the number of patients each nurse will get.
Number of patients = 300
Number of nurses = 20
Number of patients to each nurse will be:
= Number of patients / Number of nurses
= 300/20
= 15
Each nurse gets 15 patient
Answer:
Step-by-step explanation:
There are 1$$ patients in the sample space.
There are 2$$ nurses on duty each day.
P(N)=3$$, is the probability that a patient will be assigned to a specific nurse.
Correct answers:
1$300$2$20$3$\frac{1}{20}$
The sample space is the set of all possible outcomes of an experiment. Here, there are 300 possible patients.
The event is a grouping of the outcomes in the sample space. Here, there are 20 possible nurses that a patient may have.
When the 300 patients are assigned equally to 20 nurses, that is equal to 15 patients per nurse. The probability of a patient being assigned to a specific nurse, N, is the comparison of being assigned to that nurse's patients versus all possible patients: P(N)=15/300=1/20.
Write and solve an equation to find the number.
Ten less than half of a number(x) is 6.
Answer:
x = 32
Step-by-step explanation:
[tex]\frac{1}{2}[/tex]x-10 = 6
Isolate the x.
[tex]\frac{1}{2}[/tex]x = 6+10
Simplify.
[tex]\frac{1}{2}[/tex]x = 16
([tex]\frac{1}{2}[/tex]x × 2 = [tex]\frac{2}{2}[/tex]x) Find x.
[tex]\frac{2}{2}[/tex]x = 16 × 2
Simplify.
[tex]\frac{2}{2}[/tex]x = 32
Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long
Given :
Height of the ramp, h = 83 cm.
Length of ramp, L = 158 cm.
To Find :
Length of the base of the ramp.
Solution :
Let length of the base is l.
By Pythagoras theorem :
L² = h² + l²
[tex]l=\sqrt{L^2-h^2}\\\\l=\sqrt{158^2-83^2}\\\\l=134.44\ cm[/tex]
Therefore, length of the base is 134.44 cm.
Hence, this is the required solution.
A student solved log4(2x – 12) = 3, as shown.
Step 1: 2x – 12 = 34
Step 2: 2x – 12 = 81
Step 4: 2x = 93
Step 5: x = 46.5
Explain the error and find the correct solution.
Answer:
The error is in Step 1. They translated from logarithmic to exponential form incorrectly.
The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.
The correct answer is x = 38.
Step-by-step explanation:
Answer:
The error is in Step 1. They translated from logarithmic to exponential form incorrectly.
The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.
The correct answer is x = 38.
Step-by-step explanation:
Step-by-step explanation:
please Help 3 ×__=15
Answer:
3 x 5 = 15
Step-by-step explanation:
15 / 3 = 5
OR
3 + 3 + 3 + 3 + 3 = 15
(1 2 3 4 5)
OR
5 + 5 + 5 = 15
(1 2 3)
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would mean a lot :) Have a great day!
Answer:
Hey mate here is your answer. Hope it helps you
Step-by-step explanation:
Let the unknown number be x,
3 *x=15
x= 15/3
=5
The answer is 5.
I need help with this question
Answer:
Its B
Step-by-step explanation:
you have to subtract 320-70 to get 250. If you didn't you be able to divide 5 cleanly
add 5m{3-m} and 5m {2+m} is
(2+m)si thats wat i got, hope its right
Politician Alec and Candidate Simeon are running for governor. The latest surveys show that Politician Alec has 47% of the vote, while Candidate Simeon has 42% of the vote. The news report, however, states that this survey has a 6 % margin of error. What interval describes Politicians Alec's chances of winning the election?
Answer:
(41%, 53%)
Step-by-step explanation:
Given that:
Politician Alec's vote = 47%
Candidate Simeon = 42%
Margin of Error = 6%
Interval which describes Alec's chances of winning
Chances of Alec winning (p) = 47%
Margin of Error = 6%
Interval :
p ± margin of error
47% ± 6%
47% - 6% ; 47% + 6%
(41%, 53%)
Yoga lessons cost $5 per lesson if Kylie enrolls in the health club for a
fee of $120 per year. Suppose Kylie joins the health club. Which equation
represents the yearly cost C of l yoga lessons?
Answer:
For one year the fee would be,
C = $120 + $5l
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
0.064
Step-by-step explanation:
Step one;
given
Total students= 33
Both Art and Biology= 7
Biology but not Art=10
Neither subject= 7
The sample space= 33
Required
the probability of student studying Art and Biology
P(Art and Biology)= 7/33*10/33
=70/1089
=0.064
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality to determine the number of days Diego's father can drive the car without the warning light coming on. 10 points 14− 0.6t > 1.5 14− 0.6t < 1.5 14+ 0.6t > 1.5 14+ 0.6t < 1.5
Answer:
[tex]14-0.6t>1.5[/tex]
Step-by-step explanation:
The amount of fuel the car holds is fixed i.e., 14 gallons
The amount of fuel consumed every day is 0.6 gallons
Warning light comes on when the fuel level is 1.5 gallons or less.
Let t be the number of days the car runs for
So the amount of fuel consumed in all the days must be less than 1.5.
The equation will be
[tex]14-0.6t>1.5\\\Rightarrow -0.6t>1.5-14\\\Rightarrow -0.6t>-12.5\\\Rightarrow 0.6t<12.5\\\Rightarrow t<\dfrac{12.5}{0.6}\\\Rightarrow t<20.83[/tex]
So, the number of days the car can be driven without the warning light coming on is less than 20.83 days.
Hence, the required inequality is [tex]14-0.6t>1.5[/tex].
Joy's Tea Shop has caffeinated tea and decaffeinated tea. During the lunchtime rush, the tea shop served 60 teas in all, 30% of which were caffeinated. How many caffeinated teas did the tea shop serve?
Answer:
18
Step-by-step explanation:
€1=£0.72
how many € in one £
4. John gets a new job and receives a $700 signing bonus. After that, he makes $250 a day
What is the y intercept of the equation that describes the situation
I need to know if the answer is y=700
Answer:Yes the answer would be 700 since that is the starting amount.
Step-by-step explanation:
The gross monthly salary of a permanent secretary is $6,583. Find his net annual salary after deductions of $1,475 were made monthly.
Answer:
oh my gosh they have it
Step-by-step explanation:
gLiZzY
Which of the following statements about a plane is not true
Divide 2 3/4 divided by 3
Answer:
11/12
Step-by-step explanation:
Convert to improper fractions : 2 3/4 = 11/4
Divide denominator by 3: 11/4 ÷ 3 = 11/12
Ada bought 90 feet of for $20.70. She needs 30 more feet. If the unit price is the same, how much will she pay for the extra 30 feet of ?
Answer:
Step-by-step explanation:
20.70/90= 0.23 per foot
30*.23= 6.90
It'll cost $6.90 for 30 more feet.
please help asap ;-;
Answer:
D.
Step-by-step explanation:
Both have a slope or "rate of change" of 1/2 because going from (0,5)-->(2,6) on the first one you go right 2 units and up 1 and slope is rise over run or y/x values in this case it would be 1/2 and on the bottom function you can see it goes from (0,-2)-->(4,0) and this goes right 4 units and up 2 units same principal applies you get 2/4 which is equal to 1/2 also it being negative or not doesn't change whether the two functions have the same rate of change.
On a bird-watching trip, Tai and Mei counted 94 birds.
Of these, 55 of the birds were sparrows. Which value
is a reasonable estimate of the percent of sparrows in
the birds Tai and Mei counted?
Lisa hikes 9 miles in 2 hours. At this rate, how far does she hike in hours?
O 2 miles
O4 miles
O 3 miles
O 3 miles
PLEASE HELP!!!
I don't understand how it works...
if possible, please explain how you got your answer.
Thanks!!!
Answer:
C ($1834.44)
Step-by-step explanation:
Compound interest formula: P = T (1+ r/100)^t
Where
P is the Total amount of money at the end of the time period
T is the money invested at the start
r is the interest rate
and
t is the time by which interest is compounded
Since interest is compounded quarterly,
r is divided by 4 and T is multiplied by 4
therefore,
Total amount = $1800.00( 1 + 1.9÷4/100) ^1×4
= $1834.44
whats the nearest thousandth of 2.8151
Answer:
To round off a number to the nearest 1000, check the hundredth digit of the number. Round off the number to the previous thousand if the hundredth digit is 0, 1, 2, 3 and 4. Round off the number to the next thousand if the thousandth digit is 5, 6, 7, 8 and 9. Examples: Consider the numbers 6567 and 6281.
Teresa bought 8 packages of paper. Each package contained 10 pads of paper, and each pad of paper cost $2. How many pads of paper did Teresa buy? How much did Teresa spend?
A.
80 pads of paper; $160
B.
18 pads of paper; $20
C.
18 pads of paper; $36
D.
80 pads of paper; $36
1 / 10
For what values of x is the inequality (x-4)2 > true?
Answer:
You multiply both sides of this inequality by −1, we get −4 > −2.
Oscar is offered jobs at two different dog-walking companies. At company A he would earn $50 a day, plus $6 for each dog walk. At Company B, he would earn $20 a day, plus $9 for each dog walk. How many dogs would Oscar have to walk to earn the same amount at both companies in a day? How much would he earn for walking that number of dogs? *
Answer:
he should walk 4 dogs in order to earn same amount
1.Which system of linear inequalities is graphed?
I REALLY NEED HELP PLEASEEE
A shark is swimming 60 feet below the surface of
the ocean. There is a fish that is 25 feet deeper
in the water. Use the expression (-60) + (-25) to
describe the fish’s location relative to the surface
of the ocean
Answer:
- 85 ft
Step-by-step explanation:
-60 - (-25) =-85