Answer:
The margin of error is of 0.9089 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
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 = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
20 students:
This means that [tex]n = 20[/tex]
Standard deviation of 1.942.
This means that [tex]s = 1.942[/tex]
When estimating the average amount of sleep with a 95% confidence interval, what is the margin of error?
[tex]M = T\frac{s}{\sqrt{n}} = 2.093\frac{1.942}{\sqrt{20}} = 0.9089[/tex]
The margin of error is of 0.9089 hours.
7/3+7/2-5/4
please answer correct answer will get brainlist answer tag
Answer:
Step-by-step explanation:
Question answer now fast all
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Total number of marbles = 54
All marbles are red and blue
Fraction of blue = 1/3
Hence,
Number of Blue = 1/3 * 54 = 18
Hence,
Number of red = 54 - 18 = 36
Ratio of blue to total ;
18 : 54 = 1 : 3
Ratio of Red to total;
36 :54 = 2 : 3
Ratio of Red to blue :
36 : 18 = 2 : 1
Number of red = 36
which expression is equivalent to the given expression?
ln(2e/x)
ln2+ ln e -ln x
ln 2 + 1 - ln x
OPTION D is the correct answer
Find f(-2) for f(x) = 5.34.
Answer:
5.34
Step-by-step explanation:
f(-2) requires that we change x with -2 in the f(x) equation, yet the f(x) =5.34 so it has no x, therefore f(-2) =5.34
solve for x: 5x+9=39
Answer:
5x+9=39
5x=39-5
5x÷5=30÷5
x=6
Austin picks 14 apples from the tree in his backyard. He gives his grandmother 6 apples to make a pie. Which number sentence shows how many apples Austin has left
Answer: Since he had fourteen, and he gave away six of them, he has eight left.
Step-by-step explanation:
The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8.
What is a number system?A way to express or represent numbers is through the number system.
The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.
As per the given,
Total number of apples = 14
Number of apples that make a pie = 6
Left = 14 - 6 = 8
Hence "The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8".
For more about the number system,
https://brainly.com/question/22046046
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1. Write an equation to determine the height, h, of the building.
Answer: 5^2 +h^2 = 102
2. To the nearest tenth, determine the height of the
building.
Answer:
8.7 m
Step-by-step explanation:
Hi there!
[tex]5^2+h^2=10^2[/tex]
To find the height of the building, we need to isolate h on one side of the equal sign. We will do this by performing inverse operations to both sides (ex. the inverse of addition is subtraction, the inverse of multiplication is division, etc.)
Firstly, we can simplify both sides by squaring 5 and 10:
[tex]25+h^2=100[/tex]
Now subtract both sides by 25 to cancel it out on the left side and isolate h²:
[tex]25+h^2-25=100-25\\h^2=75[/tex]
Now, take the square root of both sides to isolate h:
[tex]\sqrt{h^2} =\sqrt{75} \\h=8.7[/tex]
Therefore, the height of the building is 8.7 m when rounded to the nearest tenth.
I hope this helps!
How do I solve -4x > 50
Answer:
Hi, there your answer is [tex]x<\frac{-25}{2}[/tex]
Step-by-step explanation:
Step 1: Divide both sides by 4.
-4x /-4 > 50 /-4
x> -25 /2
Hope this Helps :)
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 23 f/s. The ball's height h (in feet) after t seconds is given by the following. Find all values of t for which the ball's height is 12 feet.
Answer:
Time taken = 0.85 and 0.59 (Approx.)
Step-by-step explanation:
Given:
Initial height = 4 feet
Initial upward velocity = 23 f/s
Equation;
h = 4 + 23t - 16t² for h = 12 feet
Find:
Time taken
Computation:
h = 4 + 23t - 16t² for h = 12 feet
12 = 4 + 23t - 16t²
16t² -23t + 8 = 0
t = [-b±√b²-4ac] / 2a
t = [23±√23²-(4)(16)(8)] / 2(16)
t = [23±√529-512] / 32
t = [23±4.12]/32
Time taken = 0.85 and 0.59 (Approx.)
㏒1/2(x²-5x+7)=0 hihihihihihih
Answer:
?????
Step-by-step explanation:
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asaan ang sasagutan
uh hi i need help on this
Answer:
Angle 2 = 124 degrees
Step-by-step explanation:
Angles 1 and 2 are corresponding angles since the two lines are parallel.
We can put both numbers into an equation.
3x + 25 = 2x + 58
Subtract both sides by 2x which will give:
x + 25 = 58
Now, we can solve for x, which is:
x = 58-25 = 33
Put back x = 33 into angle 2.
Hence, angle 2 is 2*33 + 58 = 124
Answer:
m∠2 = 124 degrees
Step-by-step explanation:
By the definition of "Same Side Corresponding Angles" the 2 angles given are congruent to each other, therefore we can say;
3x + 25 = 2x + 58
x + 25 = 58
x = 58 - 25
x = 33
Now that we have x = 33, we can substitute 33 in for x, in equation given for angle 2 to find it's measure;
∠2 = 2(33) + 58
∠2 = 66 + 58
∠2 = 124
Therefore m∠2 = 124 degrees.
Hope this helps!
As a fraction in simplest terms, what would you multiply the first number by to get the second
first number - 26
second number -58
26•(blank)=58
please help
Answer:
2
Step-by-step explanation:
Need help asap! Please and thank you
Answer:
the solutions are _2 and 3/4 so the answer is option D
WILL MARL BRAINLIEST THIS IS PT.3!!
Answer:
See problem 1 below.
Step-by-step explanation:
Problem 1.
1. <A, <D
Given
2. <1, <3
Given
3. BC is congruent to BC
Congruence of segments is reflexive.
4. ABC, DBC
AAS
What is a inequality to represent -2 and -5
Answer:
-2 > -5
Step-by-step explanation:
Since -2 is greater than -5 we use the greater-than sign to represent this relationship.
Whats 5x=234 please answer i will brainliest if i can
Answer:
x = 46.8
Step-by-step explanation:
I assume you are trying to find the value of x.
[tex]5x=234.[/tex]
To find x, divide the answer by the coefficient. The quotient is the value of 'x.'
[tex]234/5=46.8[/tex]
Therefore, 46.8 is the value of x.
Remember: Whenever you see a coefficient and a variable together—5x, 7y, 3t—this means to multiply them.
Which expression is equivalent to -3(y-5)
A. -3y-4
B -3y+4
C. -3y-12
D -3y+12
Answer:
neither when you multiply them you get -3y+15 not 12
hope this helps
have a good day :)
Step-by-step explanation:
sixteen less than z gives six.
Answer:
z = 22
Step-by-step explanation:
z - 16 = 6
z = 22
Hope this helped!
Algebra
z-16=6
z=22
what your problem in word form is saying is that sixteen less from z equals out to 6.
Will appreciate it :)
Answer:
Step-by-step explanation:
In order for lines to be parallel they have to have the same slope. The first 2 equations there are solved for 5y, so let's do that to the last one--solve it for 5y--and put them all in the same order (the order that the first one is in; they will all look identical then). Equation #2 in the same order as in #1: 5y = 3x - 4. Equation #3 then becomes 5y = 3x - 1. Equations #2 and 3 have the same slope.
HELP PLZ!! The price of a radio was discounted 20% on the first day of a sale. The sale
price was then discounted an additional 20% on the second day.
What percent is the combined discount?
Answer:
combined discount is 40%
Answer:
first day =64%
the second day = 36%
QUESTION 2
Find an equation of the line containing the given pair of points
(-4.0) and (-9, 3)
3 12
y = 3x-5
4 12
y = -3%-5
4. 12
- -
3 12
y=-3%-5
QUESTION 3
Which number is closest to zero on the number line?
Answer:
the answer is .5 I think I'm sorry if I'm wrong
PLEASE HELP ME ILL GIVE BRANLIEST I HAVE A BIT OF TIME LEFT
Consider the following dot plot. Of the following statements, which two characteristics of the dot plot make the median a better choice than mean to summarize the center of distribution?
Answer:
where is question? You are only showing answer.As x approaches positive infinity, which of the following describes the end behavior for
g(x) = -x^6 + bx^4 + c
a. f(x) approaches c
b. f(x) approaches 0
c. f(x) approaches positive infinity
d. f(x) approachesnegative infinity
Answer:
c. hope helpful answer to your question
Pls answer high points
Answer:
yes.......but please finish the quation
but i can say that mirror have 360° shaped
Answer:
16^ 9 to 7^1 is the correct answer i checked
Step-by-step explanation:
Which statement is true?
Question 16 options:
A)
–|–45| = 45 and –|–96| = –96.
B)
|–45| = –45 and |–96| = –96.
C)
|–45| = 45 and |–96| = 96.
D)
|–45| = 45 and |–96| = –96
Answer:
I think D is the answer
Can you please give me Brainliest answer plz
Answer:
C is the correct answer.
Find the area of △DEF with vertices D(−4, −2), E(−1, −8), and F(−7, −8). The AREA of △DEF is ______ square units. *
Answer:
If you plot these points you will see that the base is 6 (distance from E to F, count the squares).
The height will be 6 ( distance from line EF to D, again count the squares).
Using the Area formula you get A = 1/2 (6) (6) = 18
A laundry basket contains 15 socks, of which 5 are yellow.
What is the probability that a randomly selected sock will be yellow?
Write your answer as a fraction or whole number.
Answer:
5/15
Step-by-step explanation:
Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)
Answer:
1/3
Step-by-step explanation:
Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.
Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.
what is the length if the baseedge labeled X? Will mark brainliest if correct.
Answer:
Answer is 18
Step-by-step explanation:
[tex]w = 3 \frac{v}{hl} [/tex]
w = 3(108 ÷ 18)
=3(6)
=18
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5