Answer:
(17.75, 110.32)
Step-by-step explanation:
The sample mean is 64.03, and the standard deviation is 15.43.
The population is normally distributed, so 99.5% confidence is ±3 standard deviations.
The confidence interval is therefore:
(64.03 − 3 × 15.43, 64.03 + 3 × 15.43)
(17.75, 110.32)
The 99.5% confidence interval will be equal to (17.75, 110.32).
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given data provided by the question,
With a standard deviation of 15.43 and a sample mean of 64.03, respectively.
Since the population has normally distributed, 99.5% probability lies within a range of three standard deviations.
Consequently, the confidence interval is:
= (64.03 − 3 × 15.43, 64.03 + 3 × 15.43)
= (17.75, 110.32), this is up to 2 decimal places.
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is -4 greater or lesser than 0
Answer:
-4 is lesser than 0
Step-by-step explanation:
Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answer:
21:00 AST
Step-by-step explanation:
10:00 uk time
Australia time is 11 hours ahead of UK time then
10:00 + 11 hours
21:00 AUSTRALIA TIME
OR 9:00 PM Australia time
4c-d for c please help!
Answer:
c=d/4
Step-by-step explanation:
we have to get c by itself...first we have to add d t the other side of the equation so
4c=d now since 4 is being multiplied by c we have to divide it out.
c=d/4
An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is _______ = 180. Angles congruent with each measure ________
Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
Have a wonderful day! :D
If -3x–7 =23 then 6x=?
Answer:
6x = -60
Step-by-step explanation:
-3x - 7 = 23
-3x = 30
x = -10
6(-10) = -60
a well is being dug into the ground. the well needs to reach the depth of 120 feet. a machine can dig down in 12 minutes. what is the change in depth each minute the machine is digging
Answer:
10 feet
Step-by-step explanation:
What is the denominator For these problems ?
Answer:
10, 6, 6, 12, 8, 3, respectively
Step-by-step explanation:
The denominator is the bottom number in a fraction.
Find a − b when a = −7 and b = 11.
Answer:
-18
Explanation:
a - b
a = -7
b = 11
Insert -7 for 'a' and 11 for 'b'
-7 - 11
= -18
Zoo tickets for five people cost a total of $41 which equation can be to to tell me the cost see in dollars of each ticket
Answer:
41 divided by 5
$41 divided by 5 people is equal to $8.2 per person
Step-by-step explanation:
Name the property for the given statement 2(10 + 15) = 2(10) + 2(15)
Find the missing number in the sequence
100, 93, 84, 73 45
Answer:
60
Step-by-step explanation:
Form on number to the other there is a difference,and the difference are all odd numbers
From 100 to 93 is 7
From 98 to 84 is 9
From 84 to 73 is 11
From 73 to 45 is 28 this shows that there is a number missing
So from 73 to x should be 13
And from x to 45 should be 15
So 73 -13=60
And 60-15=45
So x is 60
The missing number in the sequence is 60
Given the sequence 100, 93, 84, 73, ... 45
To get the next term, we need to get the common differences as shown:
7, 9, 11,... 15We can see that the common difference forms an AP, hence the missing term in the resulting sequence is 13To get the missing value, we will subtract 13 from 73.
Missing number = 73 - 13
Missing number = 60
Hence the missing number in the sequence is 60
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Find value of X. write answer in simplest form
Answer:
The answer is X
Step-by-step explanation:
adfh9qgfW9PGFgfogfwgr0fgwpORGFOAWGRO7GTFWARF
Answer:
sgjajzbjsjshissnbsjakskdksoddj XD
Step-by-step explanation:
A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing exercise programs, depends on age. Maximal heart rate is around 201 beats per minute for a 10-year-old, and decreases at a constant rate of 7 every 10 years. Which of the following inequalities best describes the ages, for which maximal heart rate is less than 180, a is >or equal to 10.. HELP
Answer:
208 - 0.7a < 180
Step-by-step explanation:
Jacob makes $3600 a month, he spends 40% of his income on his mortgage. How much money does he spends? A. $400 B. $1440 C. $440 D. $820
Answer:
the answer is b- 1440
Step-by-step explanation:
hope this helps
Answer:
b
Step-by-step explanation:
Solve inequalities 5x>2x+6
Answer:
x>2
Step-by-step explanation:
5x>2x+6 Subtract 2x from 5x
3x>6 Divide 3 by 6
x>2
Answer:
B. April
Step-by-step explanation:
Find the difference of -4 -(5)
The answer is -9
-4 - 5 = -9
the answer is -4-(5)= -9
I need to find the surface area of the square pyramid!
(I know I'm stupid lol)
Answer:
L = 260 cm^2
Step-by-step explanation:
height h = 12 cm
slant height s = 13 cm
side length a = 10 cm
lateral edge length e = 13.928388277184 cm
1/2 side length r = 5 cm
volume V = 400 cm^3
lateral surface area L = 260 cm^2
base surface area B = 100 cm^2
total surface area A = 360 cm^2
Genda: h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
3193.55767741 round to the nearest thousand
Answer:
3000
Step-by-step explanation:
Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.
If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.
Answer:
3,000
Step-by-step explanation:
The answer is 3,000 because:
1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.
2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.
Hope this helps!
m angle PQS= 3x; m angle SQR=5x-20
Find x
Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.
Given:
Ray QS bisects ∠PQR.
m∠PQS = 3x
m∠SQR = 5x-20
To find:
The value of x and m∠PQR
Solution:
Ray QS bisects ∠PQR. So,
[tex]m\angle PQS=m\angle SQR[/tex]
[tex]3x=5x-20[/tex]
[tex]3x-5x=-20[/tex]
[tex]-2x=-20[/tex]
[tex]x=10[/tex]
The value of x is 10.
Now,
[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]
[tex]m\angle PQR=3x+5x-20[/tex]
[tex]m\angle PQR=8x-20[/tex]
Put x=10,
[tex]m\angle PQR=8(10)-20[/tex]
[tex]m\angle PQR=80-20[/tex]
[tex]m\angle PQR=60[/tex]
Therefore, the m∠PQR is 60 degrees.
1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?
Answer:
The number of ways is 6435
Step-by-step explanation:
Given
[tex]Male = 6[/tex]
[tex]Female = 5[/tex]
[tex]Students = 4[/tex]
Required
Number of ways a group of 8 can be formed
Here, I'll assume each category of people are distinct:
Hence;
[tex]Total = Male + Female + Students[/tex]
[tex]Total = 6 + 5 + 4[/tex]
[tex]Total = 15[/tex]
Number of ways is then calculated as follows:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
Where
[tex]n = 15\ and\ r = 8[/tex]
So, we have:
[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]
[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]
[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]
[tex]^{15}C_8 = 6435[/tex]
Hence, the number of ways is 6435
need help asap please and thanks!
Answer:
3 to 1
Step-by-step explanation:
Because the 6 is the bigger number but is also on the left which means the number on the right has to divide into the six therefore 3 to 1
ANSWER ASAP!!!!
PLEASE INCLUDE STEP BY STEP EXPLANATION
DO A.
Answer:
57
Step-by-step explanation:
I prefer the equation in this format
[tex] \frac{3 |m - 2 {n}^{2} | }{4} [/tex]
substitute -4 for m and 6 for n
[tex] \frac{3 | - 4 - 2( {6}^{2}) | }{4} [/tex]
square the 6 then multiply by 2
[tex] \frac{3 | - 4 - 72| }{4} [/tex]
solve inside the absolute value then multiply by 3
[tex] \frac{3 | - 76| }{4} [/tex]
[tex] \frac{228}{4} [/tex]
divide by 4
[tex]57[/tex]
If the standard volume of a
cube is 1.5cm³ calculate the
cm
percentage error in measuring its
volume which is found to be 1.6cm³
A:6.7%
B:-6.7%
C:5%
D:-5%
E:4%
Answer:
6.7 %
which agrees with answer A in your list.
Step-by-step explanation:
If the standard volume is 1.5 cubic cm, and the measured volume is 1.6 cubic cm, then the difference between these two is :
1.6 - 1.5 = 0.1 cubic cm. and therefore the percentage error is given by:
0.1/1.5 = 0.066666...which corresponds to a rounding of 6.7%
Recall as well that percent error is always expressed as a positive number.
MATH
Please heeeeeeeeeeeelp
Answer:
3.002 * 10⁵
Step-by-step explanation:
3 * 10⁵ = 3 * 10³ * 10² = 3000 *10²
3 * 10⁵ + 2* 10² = 3000 * 10² + 2*10²
= (3000 + 2) * 10²
= 3002 * 10²
= 3.002 * 10³ * 10²
= 3.002 * 10⁵
bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative
Answer:
The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..
Step-by-step explanation:
Negative
I hope this helps :)
8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and solve on equation to determine how many toppings Megan ordered on her pizza. Variable: Equation: Solution:
Answer:
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Step-by-step explanation:
Let the number of topping be x.
Cost of 1 topping = $1.50
Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x
Cost of cheese pizza = $7.00
Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping
Total cost for cheese pizza for x topping = 7 + 1.5x
Given that The total charge for Megan's pizza was $11.50
thus,
7 + 1.5x = 11.50
1.5x = 11.50 - 7
1.5x = 4.5
x = 4.5/1.5 = 3
Thus, there were three toppings
______________________________________
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
State how many solutions, 3 + 2x + 1 = 2x + 3
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution
Three sixth-grade students competed in the 100-meter dash. The table shows their times.
Which list shows the times in order from least to greatest?
Student
Time (seconds)
13.1
Tiana
James
13.2
Dakota
12.9
A. 13.2, 13.1, 12.9
B. 12.9, 13.2, 13.1
O
C. 12.9, 13.1, 13.2
O
D. 13.1, 13.2, 12.9
Answer:
It is 12.9, 13.1, 13.2 C.
Step-by-step explanation:
List C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
What is the number?
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, three sixth-grade students competed in the 100-meter dash time taken by Tiana, James and Dakota will be 13.1, 13.2 and 12.9
The numbers are written in an ordered list according to their values when they are arranged from least to greatest.
The smallest number should be written on the left, followed immediately by the next smallest number. Numbers should be ordered from lowest (first) to highest (last). It is known as "Ascending Order."
The numbers are arranged as 12.9< 13.1 < 13.2
Thus, list C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
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what is f(0) ?
12 only
2 and 3 only
-2 , -1, 1 and 2 only
-2,-1, 1, 2 and 12
plzzzz help
Answer: it's 12 only
Step-by-step explanation: