Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
–sin2(x) = cos(2x) from [–π,π]
I need help on this
If the equation is
- sin²(x) = cos(2x)
rewrite the left side using the Pythagorean identity,
sin²(x) = 1 - cos²(x)
and the right side using the double angle identity for cosine,
cos(2x) = 2 cos²(x) - 1
Then the equation transforms to
- (1 - cos²(x)) = 2 cos²(x) - 1
Solve for cos²(x) :
-1 + cos²(x) = 2 cos²(x) - 1
cos²(x) = 0
Take the square root of both sides to get
cos(x) = 0
Solve for x :
x = cos⁻¹(0) + 2nπ or x = cos⁻¹(0) - π + 2nπ
x = π/2 + 2nπ or x = -π/2 + 2nπ
where n is any integer. We get solutions in the interval [-π, π] when n = 0, giving the solutions
x = π/2 or x = -π/2
ray bd bisects angle abc. solve for x
Answer:
x = 10
Step-by-step explanation:
Since, ray BD bisects ∠ABC,
Therefore, m∠ABD = m∠CBD
By substituting the values of the angles,
x° = (4x - 30)°
x - 4x = -30
-3x = -30
x = 10
Therefore, x = 10 will be the answer.
QUICK I GOT 2 MINUTES
We had dinner at Joe's Crab Sahck. The bill was $200. We had a coupon for 15% discount. We decided to pay the waitress 20% tip and a 7% tax. What was the amount of final bill?
Answer:
I think it is 224.
Other:
Brainliest? Thanks!
x =0, y>=0 Maximum for P =3x +2y
Answer:
day
Step-by-step explanation:
6th grade and the final grade for this semester and the
Is this a function?
Answer:
It isn't a function.
Step-by-step explanation:
Since there are two points on the same x value, in this case x=3, this means that these points can not be a function.
What is 40% of 25 is it
A. 62.50%
B. 16%
C. 160%
D. 10%
Step-by-step explanation:
D. 10 %
hope it helps!
.......
A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form
Answer:
uhhh
Step-by-step explanation:
Answer:
3.82 x 10
Step-by-step explanation:
divide 4 x 10^4 by 1.1 x 10^3
4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1
find the angle measure of minor arc MP.
Step-by-step explanation:
Angle at center = 2 * Angle at circumference.
Angle MNP = 2 * Angle MQP = 30°.
Hence the angle measure of minor arc MP is 30°.
Answer:
30 degrees
Step-by-step explanation:
arc measure in degrees is twice the measure of the inscribed angle
Ariane borrows $200 on a 2−year loan. She is charged 5% simple interest per year. How much interest is she charged for 2 years? What is the total amount she has to pay back?
Answer:
Interest charged over two years: $20
Total amount: $220
Step-by-step explanation:
The formula for simple interest is A = P ( 1 + rt ).
A = 200 ( 1 + (0.05 * 2))
A is the total amount ( interest + principle )
A = 220
P is the principle ( initial amount deposited )
P = 200
R refers to rate (in percent)
R = 0.05
T = time period (in years)
T = 2
Which situation represents a non-proportional relationship?
The cost of purchasing p pounds of salmon for $7.99 per pound.
The amount a student makes mowing m number of lawns charging $35 per lawn.
The amount of water draining at a rate of 2.5 gallons per minute.
The total cost of renting a jet ski for $25 per hour plus a fee of $50.
Answer:
Correct option:
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
Step-by-step explanation:
Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".
The first three options represents a proportional relationship.
But the last option does not.
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
That is,
TC = 25·h + 50
The relationship is linear not proportional.
A team won 13 games, lost 15 games, and tied 2
games. What percent of its games did the team win? I need help please!!
Answer:
43%
Step-by-step explanation:
First, find the total amount of games:
13 + 15 + 2
= 30
Then, to find the percentage of games won, divide 13 by 30:
13/30
= 0.43
So, the team won approximately 43% of its games
Answer: Approximately 43.3%
Work Shown:
13+15+2 = 30 games total
Divide the number of games won (13) over the number total (30)
13/30 = 0.433 approximately which converts to 43.3% of the games won
To convert from decimal form to percent form, move the decimal point over to the right two spaces. Another example would be 0.83 converts to 83%
Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?
Answer:
Y=3.68x
Step-by-step explanation:
Answer:
Its should be y=$3.68(X)
I need the answer ASAP
Answer:
the are is 14
brainliest??
Step-by-step explanation:
Answer:
48ft
Step-by-step explanation:
Hope this helps. :)
I WILL GIVE BRAINLIST Answer the questions to compare 3/12 and 2/9 by using their decimal forms.
1. How can you find the decimal forms of 3/12 and 2/9?
2. Find the decimal form of 3/12 Show your work
3. Find the decimal form of 2/9 Show your work
Answer:
3/12=0.25
Step-by-step explanation:
3/12=1/4
1/4*25/25 =25/100
25/100 = 0.25
Answer:
1. To find the decimal form of 2/9 and 3/12, you have to divide the numerator by the denominator.
2. 0.25
3. 0.22222222
Step-by-step explanation:
1. pretty much explained it
2. divided the numerator by the denominator
3. same thing as 2 (divided the numerator by the denominator)
Of the
44
people who started a math class meeting at
10
:
00
each morning, only
37
finished the class. What fraction of people finished the class?
Answer: .8409 or 37/44
Step-by-step explanation:
A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?
Answer:
Scalene Triangle
Step-by-step explanation:
A scalene triangle is a triangle that’s supposed to have all three sides with unequal lengths.
Which function could be represented by the graph on the
coordinate plane?
Answer:
f(x)=(x-8)^2 -6
Step-by-step explanation:
Mike has a collection of baseball cards and baseball figurines. If the ratio of cards to figurines is 5:7 and there are 25 cards in his collection, how many figurines does he have
Answer:
35 figurines
Step-by-step explanation:
if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.
5*5:7*5= 25:35
so there are 35 figurines
help me ples 20 point
Answer:
40%
Step-by-step explanation:
6/15 * 100 = 0.4 * 100 = 40%
Answer:
40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
Total number of pieces of fruit in a bowl = 15 pieces
Number of pieces of apple in a bowl = 6 pieces.
Therefore, 40% of the pieces of fruit in the Bowl are apples.
MULTIPLE CHOICE QUESTION
What is the COP of the table below?
X
Y
2
1
4.
2
6
3
8
4
K = 2/4
K = 4/2
K = 1/2
K = 2/1
Answer:
K = 2/1
Step-by-step explanation:
Constant of proportionality can be found using any two given pair of values.
Constant of proportionality = y/x
Therefore, using (1, 2) , we have
Constant of proportionality = y/x = 2/1 = 2
Or it can be written as: k = ²/1 = 2
Which relationship between x and y in the equation shows a proportional relationship?
y=3x
y=5(r+3)
y=x-2
y=5x +3
Answer:
Y=3x
Step-by-step explanation:
Proportional relationships always have multiplication or division
−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)
Answer:
Your answer is going to be m=-9
Step-by-step explanation:
(-4(m+3))/-4=(24)/-4
m+3=-6
-3 -3
m=-9
Evaluate x² + 2x - 4 if x = -4.
Answer:
the answer is ;4
Step-by-step explanation:
What is .63 converted into a decimal?
Answer: 63 as a decimal is 0.63
Step-by-step explanation:
Answer:
the answer to your question is 0.63
f(x) = 4x4-3x3–2x2-5 possible zeros
Answer:
f(x)= 1 correct me if wrong :)
Step-by-step explanation:
4 times 4 is 18
3 times 3 is 9
18-9=8
2 times 2 is 4
8-4=4
4-5=1
i need a step by step explanation
Answer:
1/2c-4
Step-by-step explanation:
First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
Answer:
I think it’s is into fifths if I’m correct
Step-by-step explanation:
Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?
Answer:
2 1/6 longer
Step-by-step explanation:
3 1/2-1 1/3
7/2 - 4/3
21/6-8/6
13/6 or 2 1/6
so 2 1/6 longer.
Hope this helps :D
Answer:
2 1/6 hours longer
Step-by-step explanation:
Hope the helps!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
4x + 6 < -6
plz show ur work ♡
Answer:
The answer is x<−3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
4x+6−6<−6−6
4x<−12
Step 2: Divide both sides by 4.
[tex]\frac{4x}{4} =\frac{-12}{4}[/tex]
x<−3
Figure AAA is a scale image of Figure BBB.
Answer:
that hard than i though
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation: