Answer:
Lower limit: 49.44 minutes
Upper limit: 53.16 minutes
Step-by-step explanation:
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.023
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.023\frac{5.8}{\sqrt{40}} = 1.86[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 51.3 - 1.86 = 49.44 minutes
The upper end of the interval is the sample mean added to M. So it is 51.3 + 1.86 = 53.16 minutes
Lower limit: 49.44 minutes
Upper limit: 53.16 minutes
For his long distance phone service, Abdul pays a $3 monthly fee plus 11 cents per minute. Last month, Abdul's long distance bill was $20.27
For how many minutes was Abdul billed?
Answer:
157 Minutes
Step-by-step explanation:
20.27 - 30 = 17.27
17.27 / .11 = 157
What is 5/9=14c-5/12
Answer:
c=5/72
Step-by-step explanation:
5/9=14c-5/12
Switch sides
14c-5/12=5/9
Add 5/12 tp both sides
14c-5/12+5/12=5/9+5/12
Simplify;
14c-5/12+5/12
=14c
Simplify;
5/9+5/12
LCM of 9, 12;
36
The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.
Prime factorization of 9;
3*3
Prime factorization of 12;
2*6
=2*2*3
=3*3*2*2
=36
5/9=5*4/9*4=20/36
5/12=5*3/12*3=15/36
=20/36+15/36
20+15/36
=35/36
14c=35/36
14c/14=35/36/14
14c/14=c
35/36*14
=35/504
=5/72
Answer c=5/72
Answer to the following question is as follows;
Value of C = 5 / 72
Step-by-step explanation:
Given:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
Find:
Value of C
Computation:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
By taking 5/12 to LHS Side
[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]
By taking LCM;
[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]
[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]
[tex]\frac{35}{36} = 14c\\\\[/tex]
By transfer 14 to LHS side
[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]
[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]
[tex]\frac{5}{72} = c\\\\[/tex]
Value of C = 5 / 72
Learn more;
https://brainly.com/question/21481562?referrer=searchResults
What is the value of the 4 in 5.874
Answer:
The 4 is in the thousandths
Factorise the following.
Answer:
(iii). (l-m+n)×(l+m-n)
(vi). (-a+5b)×(5a-b
HELP ME PLEASE
Boxes A and B contain some counters. 8y + 1 counters Box A 6y + 9 counters Box B. the number of counters in each box is the same. Work out the value of y.
Answer:
4
Step-by-step explanation:
Equate Box A = Box B
8y + 1 = 6y + 9
2y = 8
y = 8/2
= 4
A car traveling at constant speed traveled 161.5 miles in 3 1/2 hours. What was the car's speed.
161.5 miles / 3.5 hrs = 46.143 mph
At a baseball game, 87% of people attending were supporting the home team, while
13% were supporting the visiting team. If the total number of people attending the
game was 4400, how many people attending were supporters of the home team?
Answer:
3828 people
Step-by-step explanation:
Which is an odd monomial function?
O
y = 2x3
1
ya
O y=5x
O y = 3
Answer:
y=5x
Step-by-step explanation:
because it has only one term which is called monomial.
thank you
Olivia invested $1000 in an account that pays 2.75% interest
compounded annually. Assuming no deposits or withdrawals are
made, find how much money Olivia would have in the account 13 years
after her initial investment. Round to the nearest tenth (if necessary).
Answer:
$1,422.87
Step-by-step explanation:
Answer: 1422.9
Step-by-step explanation:
20/4+8/3 answer? I don’t get the question
Answer:
Step-by-step explanation:
if you need to add 2 fractions
20/4+ 8/3
common denominator is 12
60/12+32/12=92/12= 7 8/12 =7 2/3
Zak buys 6 gallons of fruit punch. He has
coupons for $0.55 off the regular price of
each gallon of fruit punch. After using the
coupons, the total cost of the fruit punch is
$8.70. Determine the regular price of a
gallon of fruit punch.
A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is :
Answer:
"A reflection over the line y = x, followed by a reflection over the y-axis"
Step-by-step explanation:
We want to find the transformation that maps the point A (3, 4) into the point A' (-4, 3).
We can see that:
first we have an interchange between the x-component and the y-component.
Then we go from (x, y) to (y, x)
And now we change the sign of the x-component.
Then we go from (y, x) to (-y, x)
This is the transformation we have, now let's find a name for it.
The first transformation is a reflection over the line y = x.
The second is a reflection over the line x = 0.
Then our transformation can be:
"A reflection over the line y = x, followed by a reflection over the y-axis"
area: 45. and one side is 8 feet. what is the missing side? (will give brainlist :D)
Given the following image, find the angle of rotation and the number of times each figure can rotate.
Rotated: The figure can be rotated 2 times. Angle of Rotation: 180 ∘
Can someone help with this?!
Answer:
-12r + 8s
Explanation:
Since there is a subtraction sign in front of 16r, to combine it with 4r, it must be subtracted, resulting in -12 r (to subtract a greater number from a smaller number, subtract the smaller number from the greater number and make it negative). Since there is an addition sign in front of 3s, to combine it with 5s, the two must be added. 5s + 3s = 8s. When combined, the result is -12r + 8s.
Fernando has 22 coins consisting of nickels and dimes in his pocket,
The total value of the coins is $1.70
which system of equations can be used to determine the number of
nickels, n, and the number of dimes, d, in his pocket? ANSWER CHOICES IS IN THE PICTURE
Answer:
the lat one should be the right answer
Step-by-step explanation:
The equation that can be used to represent the situation will be:
0.05n + 0.10d = 1.70n + d = 22Let the number of nickels be represented by n.
Let the number of dimes be represented by d
Therefore, since Fernando has 22 coins consisting of nickels and dimes in his pocket and the total value of the coins is $1.70.
The equation that can be used to represent the situation will be:
0.05n + 0.10d = 1.70
n + d = 22
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https://brainly.com/question/17360719
3. Pete is making 8 identical fruit baskets as
gifts. Each basket contains some apples and
12 oranges. Pete uses a total of 168 pieces
of fruit to make the baskets. Determine the
number of apples that are in each basket.
9 apples per basket
Peter is making 8 identical fruit baskets. If the baskets are identical, that means they all have the same amount of fruit in them. If I know how many apples were used, then I can divide that by the total number of baskets (8) to find out how many apples were used per basket.
12 oranges were used per basket. There were 8 baskets. 12 x 8 = 96, so 96 oranges were used in total.
168 - 96 = 72
There were 72 apples used in total.
There were the same amount of apples in each of the 8 fruit baskets. 72/8 = 9, which means that there were 9 apples per fruit basket.
There were 10 bowling pins standing before Jared took his first turn. On his first turn, he knocked down 5 pins. On his second turn, he knocked down 3 pins. What fraction of the pins did Jared knock down his 2 turns
Answer:
He knocked down 8/10 (eight tenths) in his 2 turns.
Step-by-step explanation:
5 pins = 5/10
3 pins = 3/10
5/10 + 3/10 = 8/10
2/10 of the pins are still standing.
Zaiyara had a long strip of ribbon for making crafts. The strip of ribbon had a length of 12.21 inches. Zaiyara needed to cut it into 3 equal pieces. How long would each piece be?
A:9.21 inches
B:6.02 inches
C:15.21 inches
D:4.07 inches
Plss need the answer will mark brain least if correct!
Answer:
D
Step-by-step explanation:
What is the sum of the measurements of all of the angles in the quadrilateral?
Answer: 360 degrees
the sum of any quadrilateral in angles is 360 degrees
Answer:
360
Step-by-step explanation:
Each right angle on a rectangle is 90 degrees so if you multiply 90 by 4 you get 180.
Solve for x.
2/x = 6/2
Answer:
X = 2/3
Hope this helps :D
How many tiles with dimensions 14 cm and 9 cm will be needed to fit in a rectangular
region whose length and breadth are 168 cm and 72 cm respectively?
Answer:
96 tiles
Step-by-step explanation:
The number of tiles measured 14 cm and 9 cm that will fit into a rectangular
region whose length and breadth are 168 cm and 72 cm may be computed as a ratio of the areas of the two rectangles.
Hence number of tiles
= 168 * 72/14 * 9
= 12 * 8
= 96 tiles
A speed boat travels 1040 meter in 30 minutes. How far will it go in an hour? *
Answer:
2080 meters
Step-by-step explanation:
An hour is double of 30 minutes so, if you double the length it went you would get how far it goes in an hour, 2080 meters.
Which statement is true?
1 yard = 3 feet
1 yard = 10 feet
1 yard = 12 feet
1 yard = 36 feet
Answer:
1 yard = 3 feet
Step-by-step explanation:
1 yard = 3 feet
ples i need help 2*7
Answer:
14
Step-by-step explanation:
Hope this helps :)
what is (2+4i)(-3-3i)
Answer:
6-18i
Step-by-step explanation:
You solve each one and this is basically simplifying the question
(2+4i)=6
(-3-3i)=-6
the math club has 18 members and 50% are girls. the science club has 25 members and 40% are girls. the principal wants to know which club has more girls. how many girls are in the math club? how many girls are in the science club?
What is the value of m?
Angle ADC is a linear pair ( 180° )
[tex] \angle \: ADC = \angle \: ADE + \angle BDE[/tex]
[tex]180 \degree = 112 \degree - \angle \: BDE [/tex]
[tex] \angle BDE = 180 - 112[/tex]
=> BDE = 68°
Similarly,
BCE is a linear pair or straight line.
BEC = BED + DEC
=> 180° = BED + 126°
=> BED = 180° - 126°
=> BED = 54°
As we know that Sum of angles of triangle is 180° .
m + 68° + 54° = 180°
=> m + 122 = 180°
=> m = 180° - 122°
=> m = 58°
The value of m is 58° .
A cylinder has a volume of 51[tex]m^3[/tex]. What is the volume of a cone with the same diameter and height as the cylinder?
51 [tex]m^3[/tex]
8.5 [tex]m^3[/tex]
17 [tex]m^3[/tex]
153 [tex]m^3[/tex]
When dealing with word problems and linear equations, what does the y-intercept represent and how is the slope defined?
a.
y-intercept represents the final value, slope is increasing
c.
y-intercept represents the starting value, slope is the rate of change
b.
y-intercept represents the final value, slope is decreasing
d.
y-intercept represents the starting value, slope is decreasing
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
y-intercept represents the starting value, slope is the rate of change
slope is rise/run
Answer:
C is correct! :D
Step-by-step explanation:
Edge nuity 2021
