Answer:
The 95% confidence interval for the true mean score is [tex][73.539,76.461][/tex]
Step-by-step explanation:
Note that [tex]CI=\bar x\pm z\frac{s}{\sqrt{n}}[/tex] where [tex]\bar x[/tex] is the sample mean, [tex]z[/tex] is the upper critical value for the desired confidence level, [tex]s[/tex] is the sample standard deviation, and [tex]n[/tex] is the sample size.
Therefore, [tex]CI=75\pm 1.96\frac{5}{\sqrt{45}}\approx[73.539,76.461][/tex]
1. Kim's age is three times that of her sister. When you add Kim's age to her sister's age, you get 48. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (1 point) (b) Solve the equation from Part (a). Show your work. (4 points)
Answer:
3k=48
Step-by-step explanation:
k=kim's age
3k=48
/3
k=16
I’ll give brainliest!
Add 3/4 + (2^1/2) using the number line
Select the location on the number line to plot the sum
Answer: -1 3/4
Step-by-step explanation
just add the fractions together :)
(between the -2 and -1 1/2)
Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?
Answer:
4:45
Step-by-step explanation:
hope this helps
2x2 is what its due in 1 minute
Answer: 4
Step-by-step explanation: You multiplied 2 and 2 which equals to 4
Answer:
9
Step-by-step explanation:
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
?????????????????????
Answer: make me brainlist
Step-by-step explanation: 13 is A
the one next to it is D so it is D
GUYS PLS HELP IF I DONT PASS MY PARENTS ARE GONNA BEAT ME PLS HELP!!!
Which inequality includes q = 24 in the solution set?
1/2q>12
3/4q<18
6≥1/4q
9≤1/3q
Answer:
Im 99% sure its B
Step-by-step explanation:
Which of the following statements are true? Select all that apply.
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
The true statement are
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
What are parallel lines?
Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As, from the figure
1. <3 = <2 because of vertically opposite angle.
Hence, it is false
2. <1 + <3 = 180 because form a straight angle.
Hence, it is true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Hence, it is true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Hence, it is true.
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ2
A sample of one-year-old girls had a mean weight of pounds with a standard deviation of pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than pounds. Do the data provide convincing evidence that the pediatrician's claim is true
Answer:
cool and cool and cool and cool
3-8(1+8x)=-133
Solve for x
Answer:
x=2
Step-by-step explanation:
Expanding, we have 3 - 8-64x=-133.
Combining like terms, we have -5 - 64x=-133
Adding 5 to both sides, we have -64x= -128
Dividing by -64, we have x = 2
10. If 0 = tan-'1, find angle 0. Angle 0 is an acute angle.
Answer:
45°
Step-by-step explanation:
θ = arctan(1) = 45°
__
Make sure your calculator is in degrees mode.
_____
Additional comment
The tan⁻¹( ) function is the inverse tangent function. It can be read as "arctangent of ..." or "the angle whose tangent is ...". In spreadsheets and some calculators, it comes in two flavors: ATAN(x) and ATAN2(x, y). The latter is useful for finding the angle associated with a vector whose components are known, and that can be in any of the four quadrants.
Calculators will give an angle in degrees or radians according to the mode that is set. Spreadsheets always give the angle in radians. The range of a calculator tan⁻¹( ) or ATAN( ) function is -π/2 to π/2 radians, or -90° to 90°.
What is the area of triangle ABC? pls help i need to pass this test!!
Answer:
Step-by-step explanation:
a A rocket is launched from a tower The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground , the nearest 100th of second y=-16x^2+148x+128
Answer:t=10.05s
Step-by-step explanation:
How old would u be if you was born in 1475 and died in 1946
Answer: 471 years old
Step-by-step explanation:
1946-1475= 471
A bag of 8 apples costs $1.50 at Sam’s Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00
Answer:
cost for 18 apples: $3.38
$5 will buy 26 apples
Step-by-step explanation:
let 'a' = apples
1.50/8 = cost per apple
$0.1875 for one apple
cost for 18 apples: 0.1875 x 18 = $3.38
5.00 / 0.1875 = number of apples for $5 → 26
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
Answer: 13x4+g
Step-by-step explanation:
For what values of k
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
A force of 18 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W W is done in stretching it from its natural length to 7 in. beyond its natural length
Answer:
Step-by-step explanation:
Average force is (19 + 0)/2 = 9 lb
2 inches = 1/6 ft
W = Fd = 9(1/6) = 1.5 ft•lb
How to find the area of a missing square
Check the picture below.
btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.
find the maclaurin series of the given function f(x)=ln(1-x)
Answer:
[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Step-by-step explanation:
1) the rule is:
[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]
2) according to the rule above:
[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]
finally,
[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Solve the equation for the variable 49-2/3x=32-1/6x
Answer:
No Solutions
Step-by-step explanation:
I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.
Therefore, x has no solutions.
Answer:
Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5
Step-by-step explanation:
Expand and simplify
(7-3x) (6x + 1)
Answer:
-18x^2+39x+7
Step-by-step explanation:
let x represent the larger number4x+(x-2)^2=16
I have no clue I just need the points have a good day tho :)
Help me plssssss im stuck I will give brainly
Answer:
Kate.
Step-by-step explanation:
Answer:
Kate, 29.26 is correct
Step-by-step explanation:
99.91 - 70.65 is 29.26
if you help me with this i’ll mark you brainlest if you are the first to answer.
Answer:
m∠1 = 97
m∠2 = 83
m∠3 = 97
m∠4 = 83
Answer:
m∠1 = 97°
m∠2 = 83°
m∠3 = 97°
m∠4 = 83°
Step-by-step explanation:
180 - 97 = 83°
180 - 83 = 97°
factor the polynomial f(x) = X^3+5x^2+7X+3
Answer:
Step-by-step explanation:
Third level polynomial, so three factors
Only whole numbers, so only whole number x⁰ factors
whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3
let's try (x + 3) as a factor
x² + 2x + 1
x + 3 | x³ + 5x² + 7x + 3
- x³ + 3x²
2x² + 7x
- 2x² + 6x
x + 3
- x + 3
0
so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²
x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)
Robin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers.
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?
Answer:
Part A :
Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.
Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.
Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri
Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.
Explanation :
I have calculated out Robins and Dimitris subscribers counts with math.
Part A: The attached image is for Robin but I didn't have time for Dimitri.
Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.
Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.
Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.
Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.
How Much Percentage is 7 out of 45.99?
Answer: 0.152207 %
Step-by-step explanation: divide the amount by the total to get the percentage.
Tara scored 6times as many soccer goals as Leah Leah scored 3 goals.How many more goals did Tara score
she will score 18 goals
Step-by-step explanation:
6×3=18
3x+y=5
2x-y=0
Plsss help i need step by step plsss 9th grade
Answer:
x = 1
y = 2
Step-by-step explanation:
3x + y = 5
y = 5 - 3x
-----
2x - (5 - 3x) = 0
2x + 3x - 5 = 0
5x - 5 = 0
5x = 5
x = 1
-----
3(1) + y = 5
3 + y = 5
y = 2
Step-by-step explanation:
1. you add 3x to the other side to get y=-3x+5
2. then for the other equation you subtract 2x to the other side to get -1y=2x
3.then you divide by -1 to get y=2x
y=-3x+5 and y=2x
Omar deposited $4000 into an account with 4.4% interest, compounded quarterly. Assuming that no withdrawals are made, how much will he have in the account after 10 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
