There's 3 terms
3a-----1
+b -----2
-4c------3
Using traditional methods it takes 99 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 190 students and observed that they had a mean of 98 hours. Assume the population variance is known to be 49. Is there evidence at the 0.05 level that the technique reduces the training time?
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to two decimal places
Answer:
the aswer is 0.40 hope this helps
Step-by-step explanation:
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
The equation shown below represents a logarithmic equation of base b.
a = logb(c)
Which set of numbers can a represent?
A.Only numbers > 0
B. Only numbers < 0
C All real numbers except 0
DAll real numbers
Answer:
C. All real numbers except 0
Step-by-step explanation:
It is the same as " numbers > 0"
Option (A) is correct.
What is logarithmic equation?"This equation will have all the terms but one be a logarithm and the one term that doesn’t have a logarithm will be a constant. In order to solve these kinds of equations we will need to remember the exponential form of the logarithm".
For the given situation,
The logarithmic equation, [tex]a = logb(c)[/tex]
⇒[tex]b^{c} = a[/tex]
Where a>0 , b>0 and b!=1
Thus a can represent, only numbers > 0.
Hence we can conclude that option (A) is correct.
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what is equivalent to 5x + 8y + 2
Answer:
(5 · x) + (8 · y) + (2 · 1)
Answer:
5x + 2 ( 4y + 1 )
Step-by-step explanation:
i just factorised 8y + 2
A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 100 items, the defect rate is 4% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's claim.
Answer:
The p-value of the test is of 0.2776 > 0.01, which means that the we accept the null hypothesis, that is, the manager's claim that this is only a sample fluctuation and production is not really out of control.
Step-by-step explanation:
A manufacturer considers his production process to be out of control when defects exceed 3%.
At the null hypothesis, we test if the production process is in control, that is, the defective proportion is of 3% or less. So
[tex]H_0: p \leq 0.03[/tex]
At the alternate hypothesis, we test if the production process is out of control, that is, the defective proportion exceeds 3%. So
[tex]H_1: p > 0.03[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.03 is tested at the null hypothesis
This means that [tex]\mu = 0.03, \sigma = \sqrt{0.03*0.97}[/tex]
In a random sample of 100 items, the defect rate is 4%.
This means that [tex]n = 100, X = 0.04[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.04 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{100}}}[/tex]
[tex]z = 0.59[/tex]
P-value of the test
The p-value of the test is the probability of finding a sample proportion above 0.04, which is 1 subtracted by the p-value of z = 0.59.
Looking at the z-table, z = 0.59 has a p-value of 0.7224
1 - 0.7224 = 0.2776
The p-value of the test is of 0.2776 > 0.01, which means that the we accept the null hypothesis, that is, the manager's claim that this is only a sample fluctuation and production is not really out of control.
help it's due tomorrow
Answer:
a) 42
b) 42/120
Step-by-step explanation:
Oof, I was just about done with answering this question but I deleted it all by accident so I had to rewrite it.
Anyways, the first part of it is correct.
The second part of it is a bit harder. See, this is conditional probability, which uses the equation that I've attached below.
For Event A, you'll need the total boys / total students:
0.44166
For Event B, you'll need the total counters / total students:
0.83333
Now, plug these values into the equation. The weird U thingy is called "Union". It basically means "and".
P(A and B) / P(B)
P(0.44166 * 0.8333) / P(0.8333)
0.36803 / 0.8333
This is about 0.44165, or 53/120
The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following.
f'(70) = 1.5
When the ticket price is _____, the weekly profit to the airline on flights from Boston to Washington is _____
Answer:
When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.
Step-by-step explanation:
The function has the following format:
f(p)
That is, f is a function of p.
The derivative, f'(p), is the variation of f for the given value of p.
f'(70) = 1.5
p = 70, thus, ticket price of $70.
f'(70) = 1.5 means that the weekly profit to the airline on flights from Boston to Washington is 1.5 thousand dollars, that is, $1500.
Thus the correct answer is:
When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.
If Wolfgang’s Deli Shop needs 15lb of lettuce for an business, but can only use 90% due to spoilage and damage, how many lb should Wolfgang order for an evening’s business?
Answer:
13.5 pounds
Step-by-step explanation:
90% of 15 is 13.5 or if you need to round then 14 pounds of lettuce
Suppose the length of each side of a square is increased by 5 feet. If the perimeter of the square is now 56 feet, what were the original side lengths of the square? A. 9 ft B. 11 ft C. 14 ft D. 36 ft
Answer:
D. 36 ft
Step-by-step explanation:
5 feet added to each of 4 sides is 20 feet
56 - 20 = 36
Pls help this is due soon
Answer:
180⁰ 8. 20⁰ 3. rays and angle
Step-by-step explanation:
need ko po ang sagot
Is this right and can someone show me the explanation plz?and how to do the problem I have to show my work
Answer:
yes it is.
x = 4 and y = -3
Step-by-step explanation:
Solve simultaneously using elimination method:
equation 1 - equation 2
3x + y = 9 equation 1
-2x + y = 5 equation 2
_________
x = 4
plug 4 into any of the 2 equations and solve for y.
3(4) + y = 9
12 + y = 9
12-12 + y = 9-12
y = -3
Find the surface area of the figure below
Answer:
592 cm
Step-by-step explanation:
16*10/2=80
16*10/2=80
16*12=192
10*12=120
10*12=120
Add all the sum, which would equal 592.
Hope this helps.
Help me with this please?? Find the indicated side length(s) of this triangle in simplified radical form
Answer:
b = 5√6
c = 10√5
Step-by-step explanation:
This is a 30-60-90 triangle
the hypotenuse is always twice the short leg
c = 2(5√2)
c = 10√5
The long leg is alway √3 times the short leg
b = √3(5√2)
b = 5√6
Find the measure of arc TV
What is the formula for the volume of a pyramid?
Answer:
1/3 area of base * height
1/3 x 1/2 x 1/4 = V.
Answer:
Step-by-step explanation:
1*1*1/3*2*4=V
1/24=V
multiply all numerator and all denominator.
what is the area of a tile floor that is 12.8 feet long and 9.5 feet wide
Answer: 121.5 ft^2
Step-by-step explanation:
Area= L x W
12.8 X 9.5
= 121.6
What are the coordinates of the solution of these two linear equations
Answer:
(-2 -3)
Step-by-step explanation:
_____________________
You want to walk from home to a grocery store that is3/4 miles away. You stop for a rest after 5/8 miles. How much farther do you have to walk?
Write your answer as a fraction in simplest form.
Answer:
1/8 miles
Step-by-step explanation:
You have to subtract [tex]\frac{3}{4}- \frac{5}{8}[/tex] for the answer.
First, you gotta make 3/4 have a common denominator.
To do this multiply 3/4 by 2/2 (2/2 equals one, so value isn't changed.)
and you get 6/8.
Then you can subtract 6/8 - 5/8 to get 1/8 miles.
And there's no need to simplify 1/8.
PLEASE HELPPPPPP MEEEEEEE!
Answer:
124 students
Step-by-step explanation:
Girls participating in the exercise
4/15 x 285 = 76
Boys participating in the exercise
3/20 x 320 = 48
Total students participating
76 + 48 = 124
solve 5|x – 4| ≥ –10
Answer:
The statement is true for any value of x
Step-by-step explanation:
see the steps below:)
Answer:
No solution
Step-by-step explanation:
just trust me
What is the y-value when x = 8?
14
12
10
8
2.
0 2 4 6 8 10 12 14
2 6
Answer:
4
Step-by-step explanation:
go on the x-axis where you see 8
go up until you get to the line
go toward the y-axis to the left and read ( it said 4)
Sonya has a collection of gold and silver coins.
65% of her collection consists of gold coins.
70 of her coins are silver.
What is the total number of coins in Sonya's collection?
Enter your answer in the space provided.
HELP PLEASE
Answer:
10.5
Step-by-step explanation:
65% of 70 is 45.5
So gold is 45.5 and silver is 54.5
so but45.5 + 54.5 = 100% but divide by 2
which is 50% but now we find 10% and 5%
10% = 7
5% = 3.5
now add 7 and 3.5 together
7+3.5 = 10.5
Dany has 15 toys. This morning Mrs. Bahr woke up to see that Dany ruined one of her toys, so Mrs. Bahr threw it away. If now half of Dany's toys have squeakers, how many of her toys do not have squeakers?
Answer:
7 ?
Step-by-step explanation:
if im correct the total amount of toys was 15, dany broke one so thats 14. HALF of danys toys have speakers so
14 divided by 2 is 7
the answer is 7.
Answer:
7
Step-by-step explanation:
in total they were 15 toys , but 1 was thrown away. which means only 14 toys were left .
now half of the 14 toys have squeakers
so it can be calculated as :
14 ÷ 2 = 7
which expressions are equivalent to -3x+6v+7x14?
Between the 4 and the 7 is it a multiplication or an X?
If the multiplication sign, this is the solution
[tex] - 3x + 6v + 7 \times 14 \\ = 6v - 3x + 98[/tex]
y=300(1+0.06/12)^12t
i need to answer. no links or I'll report
Please help It is important
Answer:
$54
Step-by-step explanation:
first find 1/4 of $80 and then take that answer and find 10% of that to get your answer
A baseball team has won 50 games of 75 played. The team has 45 remaining games to play. How many of the remaining games must a team win in order to win 60% of the total games played during the season?
A. 20
B. 21
C. 22
D. 23
Answer:
C. 22
Step-by-step explanation:
The team played 75 games and 45 remaining.
75+45=120
60% of 120 = 0.6×120= 72
The team must win 72 games and they already won 50 games so the team has to win 72-50=22 games more.
20. A, B and C start a business with a capital of Rs. 10,500. Of this Rs.4400 is contributed by A, Rs.3700 is
contributed by B and the rest by C. After 5 months C withdraws Rs.800 from the capital, while Rs.400 was
added to the capital by both A and B. At the end of the year, profit was 14% of the original capital. Find the
profit received by partner A.
O A. Rs.648.67
O B. Rs.698.77
O C. Rs.684.77
O D. Rs.668.67
Answer:
the answer to the question is A.Rs.648.67
What’s an explanation function ?
Answer:
Functional explanations are a type of explanation offered in the natural and social sciences. In giving these explanations, researchers appeal to the functions that a structure or system has.