Answer:
b. Interval estimation
Step-by-step explanation:
There are two types of estimations for each population parameter; the point estimation and confidence interval (CI) estimation.
The point estimation involves the use of sample data to calculate a single value which serve as a best estimate of an unknown population parameter.
The interval estimation is the use of sample data to calculate range of possible values of an unknown population parameter.
Therefore, the correct option is "b"
b. Interval estimation
You bought the following items at 20% off. How much did you pay total?
Tent $70, jacket $60, gloves $25, snowboard $350, goggles $30
Answer:
$524.30
Step-by-step explanation:
70+60+25+350+30= 535
535*.02(20%)
10.7
535-10.7=
524.3
Answer:
$107
Step-by-step explanation:
First you have to add up the costs and you get a total of $535
Then you need to make 535 equivalent to 100 then divide by 20 to get 107
Hope that helps and have a great day!
A coin is flipped 3 times. What is the probability that you get 2 heads?
Answer:
1/3
Step-by-step explanation:
yes
giving brainliest to whoever answers correctly!!
Answer:
<CBD=12 degrees
Step-by-step explanation:
Divide.
-24÷7
Enter your answer as a mixed number, in simplified form, in the box.
How do you reduce the fraction 8 to 25
The numbers on a football field indicate 10 yard increments. You walk around the perimeter of a football field between the pylons. You walk a distance of 306 2/3 yards. The playing field not including end zones perimeter and area?
Answer:
It is D.
Step-by-step explanation:
proof I just took it
The point (5, 6) is ocated in which quadrant? y x ! O QuadrantI O Quadrant II O Quadrant lII O Quadrant IV
Quardrant 1
I think but your question makes no sense
HELP ASAP FOR MY FRIEND
Answer:
solve it like the first one
Step-by-step explanation:
Answer:
What one?
Step-by-step explanation:
^
Simplify.
5w-4(3x – 2w) + 6x
Answer:
13w-6x
Step-by-step explanation:
The table below gives the stopping distance y (in 100 meters) for a train traveling on a track at various speeds x (miles per hour).
Speed, x (mi/h) 50 55 60 65 70 75 80 85 90
Distance ,y (100m) 20 25 35 50 70 95 125 200 160
Required:
Find an equation of the quadratic function that models the data, and predict the stopping distance for the train traveling at 95 miles per hour.
The required equation is 0.1x²-9.5x+245=0
And, the stopping distance for the train traveling at 95 miles per hour is 245.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, given that,
Speed, x (mi/h) 50 55 60 65 70 75 80 85 90
Distance ,y (100m) 20 25 35 50 70 95 125 160 200
Now, let an quadratic equation be, ax²+bx+c=y
Putting the values of x & y we get,
2500a+50b+c=20 ....(1)
3025a+55b+c=25...(2)
3600a+60b+c=35 .....(3)
solving this we get,
a= 0.1
b=-9.5
c=245
Hence, the required equation is 0.1x²-9.5x+245=0
And, the stopping distance for the train traveling at 95 miles per hour is 245.
To learn more on function click:
brainly.com/question/21145944
#SPJ5
Lara incorrectly placed the decimal point when she wrote 0.55 inch for the width of her e-reader. What is the correct decimal number for the width? inch(es). The correct width of the e-reader is (Type a whole number or a decimal.)
Answer:
5.5 makes more sense.
Step-by-step explanation:
You are running at a speed of 4 m/s per second and you accelerate to a speed of 6 m/s in 4 seconds. What is your acceleration
What is the area of a triangle with vertices at (-3, 3), (2, 3), and (4, 7)?
05 square units
10 square units
20 square units
040 square units
HELP ME PLEASE
Twenty employees have applied for promotions. This year 7 promotions were awarded. If a random sample of 5 applications was selected.
a. What is the probability that at most 2 employees were promoted?
b. What is the probability that no employees were promoted?
c. Find the value of the expected value and the variance of this distribution.
Answer:
a)0.764
b)0.116
c)Expected value =1.75
Variance=1.1375
Step-by-step explanation:
Total Number of employees = 20
Number of promotions awarded = 7
Probability of success p =[tex]\frac{7}{20}[/tex]
Probability of failure q = [tex]1-\frac{7}{20}=\frac{13}{20}[/tex]
We randomly select 5 applications
a) What is the probability that at most 2 employees were promoted?
We will use binomial
[tex]P(X=x)=^nC_r p^r q ^{n-r}\\P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)\\P(X\leq 2)=^{5}C_0 (\frac{7}{20})^0 (\frac{13}{20})^{5-0}+^{5}C_1 (\frac{7}{20})^1 (\frac{13}{20})^{5-1}+^{5}C_2 (\frac{7}{20})^2 (\frac{13}{20})^{5-2}\\P(X\leq 2)=\frac{5!}{0!(5-0)!} (\frac{7}{20})^0 (\frac{13}{20})^{5-0}+\frac{5!}{1!(5-1)!}(\frac{7}{20})^1 (\frac{13}{20})^{5-1}+\frac{5!}{2!(5-2)!} (\frac{7}{20})^2 (\frac{13}{20})^{5-2}\\P(X\leq 2)=0.764[/tex]
b)What is the probability that no employees were promoted?
[tex]P(X=0)=^{5}C_0 (\frac{7}{20})^0 (\frac{13}{20})^{5-0}\\P(X=0)=\frac{5!}{0!(5-0)!} (\frac{7}{20})^0 (\frac{13}{20})^{5-0}\\P(X=0)=0.116[/tex]
c)
[tex]E(X)=np=5 \times (\frac{7}{20})=1.75\\Var(X)=npq=5 \times (\frac{7}{20}) \times \frac{13}{20}=1.1375[/tex]
What is the sum of -4 1/2 and 10 1/3 show work plz
Answer:
5 5/6
Step-by-step explanation:
Change the mixed numbers to improper fractions, and you get -9/2 + 31/3, which adds up to 35/6, then divide 35 by 6, which changes it back to a mixed number, 5 5/6.
The Pappas family has two cats, Zeus and Athena. Together they weigh thirteen pounds. Zeus weighs 5 pounds less than Athena. How much does Athena weigh?
Given:
Combine weight of two cats, Zeus and Athena = 13 pounds
Zeus weighs 5 pounds less than Athena.
To find:
The weight of Athena.
Solution:
Let x pounds be the weight of Athena.
Zeus weighs 5 pounds less than Athena.
Weight of Zeus = x - 5 pounds
Combine weight of two cats, Zeus and Athena = 13 pounds
[tex]x+(x-5)=13[/tex]
[tex]2x-5=13[/tex]
Add 5 on both sides.
[tex]2x=13+5[/tex]
[tex]2x=18[/tex]
Divide both sides by 2.
[tex]x=\dfrac{18}{2}[/tex]
[tex]x=9[/tex]
Therefore, the weight of Athena is 9 pounds.
Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.
Answer:
Yes, she is. The exact product of 602 and 341 is 205,282.
Step-by-step explanation:
To determine the exact product of 602 and 341, both numbers must be multiplied, obtaining the result. To do this, said number can be decomposed, to facilitate the operation and to be able to corroborate the accuracy of the result.
So, we can multiply 602 by 300, plus 602 by 40 and 602 by 1, and add the results.
Therefore, since 602 times 300 is equal to 180,600 (602 x 300 = 180,600); that 602 times 40 is equal to 24,080 (602 x 40 = 24,080); and since 602 times 1 is equal to 602, all those values must be added.
So 180,600 plus 24,080 equals 204,680. And in turn, 204,680 plus 602 equals 205,282. Therefore, the proposed result is correct.
Oscar has deposited $4,000 in a savings account at 1.5% interest. What is his real interest rate if the current inflation rate is 2.5%?
a. −1%
b. 4%
c. 3.75%
d. −0.6%
Answer:
-1%
Step-by-step explanation:
Just finished the quiz with 100%
Answer:
A. -1%
Step-by-step explanation:
If the inflation is 2.5% and the savings account had an original 1.5% interest rate, simply subtract.
1.5 - 2.5 = -1
-1%
Plss help me in this pre algebra question
Answer:
6, 7, and 14 feet.
Step-by-step explanation:
x+2x+x-1=27
4x-1=27
4x=27+1
4x=28
x=7
2x=14
x-1=6
So the three sides, in order, are 6, 7, and 14 feet.
The population of bluegills (type of fish) has a mean length of 152.09mm and a standard deviation of 19.62mm. What is the probability that a random sample of 25 fish has a mean length of 140mm or shorter
Answer:
0.001035
Step-by-step explanation:
Mean (m) = 152.09 mm
Standard deviation (σ) = 19.62 mm
Sample size (n) = 25
Length being 140mm or shorter (x) : x ≤ 140
Using the Zscore relation :
Zscore = (x - m) / (σ/√n)
Zscore = (140 - 152.09) / (19.62/√25)
Zscore = (140 - 152.09) / (19.62/5)
Zscore = −3.081039
P(Z ≤ −3.08) = 0.001035
What is the correct equation of the line shown below?
Answer: Y= 3/2x + 3
Step-by-step explanation:
Using the Y =mx+b formula, you count how many units it is going up and that is the numerator. Then you count how many units it's going to the right, and that's the denominator. Then the starting point is (0, 3) so now you plug those in and b is the starting point and the fraction is mx so you are left with the answer y= 3/2x+3
Mr. Webb has 16 feet of fencing. He wants to use all of the
fencing to enclose a rectangular flower bed. The graph below
shows how the area of the flower bed depends on the length
of one of its sides.
16
14
12
10
Area (square feet)
8
Length (feet)
What side length will give the flower bed the maximum area?
A 16 ft
B 4 ft
8 ft D 2 ft
Answer:
the answer is c
Step-by-step explanation:
QUESTION 5
A basketball player scores 126 points in 7 games. At this rate how many points will he score in a 32 game season?
Find The Product. Simplify if necessary.
1)-3(-12)
2) 5/8(-2/8
3)-8(12)
4) 8(12)
5) 7(-9)
6)5X4.1
Answer:
1) 36
2) -5/32
3) -96
4) 96
5) -63
6) 20.5
Explanation:
Also, is the X a multiplier?
Jack received $75 for his birthday. He spent 25 on a new baseball glove, $45 on a pair of new shoes, and $5 on digital music.
a
A.what proportion of his birthday money went towards new shoes? Express the value as a simplified fraction period then, convert the fraction to a percent. show you work
B.What proportion of his birthday money went toward music? Express the value as a simplified fraction. Then, convert the fraction to a decimal. Round the decimal to the nearest hundredths or indicate it is repeating. show your work
C. bite the ratio of money Jack spent on music to money Jack spent on shoes. simplify your answer period what is the ratio mean? what fraction is equivalent to the ratio
Answer:
A) Fraction = 3/5, Percentage = 60%
B) Fraction = 1/15 , Decimal = 0.083333 ≈ 0.08
C) Ratio = 1:9, Fraction = 1/9
Step-by-step explanation:
A) The total amount of money Jack received = $75
Jack's spent on shoes = $45
The proportion he spent on shoes
= $45/$75
= 3/5
Converting this fraction to percentage
= 3/5 × 100% = 60%
B.What proportion of his birthday money went toward music?
The total amount of money Jack received = $75
Jack's spent on music = $5
The proportion he spent on music
= $5/$75
= 1/15
Converting this fraction to decimal
= 1/15 = 0.0833333333
It is a repeating decimal.
Approximately to the nearest hundredth = 0.08
C. Write the ratio of money Jack spent on music to money Jack spent on shoes.
The ratio of money spent on music to the ratio of my money spent on shoes
Music : Shoes
$5 : $45
1:9
The fraction that js equivalent to the ratio is 1/9
PLEASE ANSWER AND MY GRADE WILL GO UP I WILL GIVE YOU BRAINLIST AND ALL OF MY POINTS
Answer:honestly idk ijust want points
Step-by-step explanation:
sorry dude
1-3 Function Operations and Composition Jim was given three functions and asked to determine f + (gon). The functions were f (x) = x2 g(x) = 3x + 1, and h(x) = 2x. Jim started by writing the problem as (r + (gon))(x) = x2 + 2(3x + 1). What was Jim's mistake? What is the correct solution? O A Jim omitted the x in h(x): [ + (g = n)) = 7x2 + 2x B. Jim should have added f and g first; ( + (gon)) = 4x2 + 6x + 1 O C. Jim incorrectly performed h og instead of goh: (f + g - h)) = x2 + x + 1. OD D. Jim did not follow the order of operations, I + (g o h)) = x2 + 6x + 2.
Answer:
Step-by-step explanation:
Given the functions:
f (x) = x^2
g(x) = 3x + 1
h(x) = 2x
We are to look for f + (goh)
First we need to get the composite function goh
goh = g(h(x))
g(h(x)) = g(2x)
To get g(2x) we will substitute x in g(x) as 2x as shown below:
Given g(x) = 3x+1
g(2x) = 3(2x)+1
g(2x) = 6x+1
f + goh = x² + (6x +1)
f + goh = x² + 6x +1
Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.
The correct solution is f + goh = x² + 6x +1
Write 3.65 x 10^5 in standard notation.
Answer:
365,000Step-by-step explanation:
3.65 ⋅ 10 = 36.5
3.65 ⋅ 100 = 365
3.65 ⋅ 1000 = 3,650
3.65 ⋅ 10000 = 36,500
3.65 ⋅ 100000 = 365,000
There are 5 zeroes on the last one.
This means that 100,000 is 10 to the power of 5.
Hope this helps! <3
Solve for z. What is the root? If there is no root, choose none.
Answer:
I dont think this has a solution to be made.. I could definitely be wrong though..
Answer:
I think the answer is none
the product of the ages of a father and his son is 576.if the father is 18 years younger than 5 times his son .how old is each?
Answer:
[tex]F = 45.4[/tex]
[tex]S = 12.68[/tex]
Step-by-step explanation:
Given
Represent the sons age with S and the father's age with F
[tex]S * F = 576[/tex]
[tex]F = 5S - 18[/tex]
Required
Determine F and S
Substitute 5S - 18 for F in the first equation
[tex]S * (5S - 18) = 576[/tex]
Open Bracket
[tex]5S\² - 18S = 576[/tex]
Equate to 0
[tex]5S\² - 18S - 576 = 0[/tex]
Solve using quadratic formula:
[tex]S = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 5[/tex]
[tex]b = -18[/tex]
[tex]c = -576[/tex]
[tex]S = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]S = \frac{-(-18)\±\sqrt{(-18)^2 - 4*5*-576}}{2 * 5}[/tex]
[tex]S = \frac{18\±\sqrt{324 + 11520}}{10}[/tex]
[tex]S = \frac{18\±\sqrt{11844}}{10}[/tex]
[tex]S = \frac{18\±\108.8}{10}[/tex]
[tex]S = \frac{18+108.8}{10}[/tex] or [tex]S = \frac{18-108.8}{10}[/tex]
[tex]S = \frac{126.8}{10}[/tex] or [tex]S = \frac{-90.8}{10}[/tex]
[tex]S = 12.68[/tex] or [tex]S = -9.08[/tex]
Since, age can't be negative.
We have that:
[tex]S = 12.68[/tex]
Recall that:
[tex]F = 5S - 18[/tex]
[tex]F = 5 * 12.68 - 18[/tex]
[tex]F = 45.4[/tex]
Hence:
The father is 45 years old and the son is 13 years old (Approximated)