If f( a)= a^2-2a+1 what is the value of f(-4)
Answer:
Step-by-step explanation:
For this you just plug in a = -4 into the function:
f(-4) = (-4)^2-2(-4)+1 = 25
25 should be the answer.
Answer:
25
Step-by-step explanation:
f(-4) = (-4)² - 2(-4) + 1
= 16 + 8 + 1
= 25
. To test H0: m = 105 versus H1: m ≠ 105, a simple random sample of size n = 35 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why? (b) If x = 101.9 and s = 5.9, compute the test statistic. (c) Draw a t-distribution with the area that represents the P-value shaded. (d) Approximate and interpret the P-value. (e) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, will the researcher reject the null hypothesis? Why?
Answer:
A.) No
B.) test statistic = - 3.108
Check explanation
Step-by-step explanation:
H0: m = 105 versus H1: m ≠ 105
Sample size, n = 35, since we have a large sample size, greater than 30.
B.)
xbar = 101.9 ; s = 5.9
Test statistic :
T = (xbar - μ) ÷ (s/√n)
T = (101.9 - 105) / (5.9/√35)
T = - 3.1 / 0.9972820
Test statistic = - 3.11
Pvalue from Tstatistic, df = 34
Pvalue = 0.003772( Pvalue calculator)
Pvalue is the probability of obtaining a value more extreme or exactly that of the test statistic.
At α = 0.01
Pvalue < α ; We fail to reject the Null
Rectangle MNOP with vertices M(-7, 1),
N(4, 1), 0(-4, 4), and P(-7, 4) in the line
y = -x
Answer:
[tex]M' =(-1,7)[/tex]
[tex]N' =(-1,-4)[/tex]
[tex]O' =(-4,4)[/tex]
[tex]P' =(-4,7)[/tex]
Step-by-step explanation:
Given
[tex]M = (-7, 1)[/tex]
[tex]N = (4, 1)[/tex]
[tex]0 = (-4, 4)[/tex]
[tex]P = (-7, 4)[/tex]
Line: [tex]y = -x[/tex]
Required
The coordinates of M'N'O'P'
The rule for reflection over [tex]y=-x[/tex] is : [tex](x,y) \to (-y,-x)[/tex]
So, we have:
[tex]M = (-7, 1)[/tex] [tex]\to M' =(-1,7)[/tex]
[tex]N = (4, 1)[/tex] [tex]\to N' =(-1,-4)[/tex]
[tex]0 = (-4, 4)[/tex] [tex]\to O' =(-4,4)[/tex]
[tex]P = (-7, 4)[/tex] [tex]\to P' =(-4,7)[/tex]
So, the points are:
[tex]M' =(-1,7)[/tex]
[tex]N' =(-1,-4)[/tex]
[tex]O' =(-4,4)[/tex]
[tex]P' =(-4,7)[/tex]
12
Joe wants to rent a bike. The rental fee is dollars, after t hours, and is modeled by x= 5t +5.
Part A
If the rental fee for the bike Joe borrowed was $20, how many hours did he keep the bike?
2
3
4
1
Answer:
4
hours
i hope that helped
Step-by-step explanation:
Answer: 3 hours
It is correct trust me
Find the distance between the pair of points (-1, 4) and (-3, 7)
no links
Answer: d=sqrt(13)=3.605
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x2,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=-1 ,y=4 ,x2=-3,y2=7
d=sqrt((-3+1)^2+ (7-4)^2)
d=sqrt((-2)^2+(3)^2)
d=sqrt(4+9)
d=sqrt(13)=3.605
Please please help please please ASAP please please help
Answer:
r = 3 cm , LA= 30π cm^2 , SA = 48π cm^2
Step-by-step explanation:
This is a bit more difficult because we have to use the inverse formula
if
V = base area x height
we can obtain
base area = V/height
base area = 45π/5 = 9π cm^2
If
base area = radius^2 π
we can obtain
radius = √base area / π
r = √9 x π/π = 3 cm
base perimeter = 3 x 2 x π = 6π cm
LA = 6π x 5 = 30π cm^2
SA = 9π x 2 + 30 π = 48π cm^2
What is the Effect size of 1 million children effected by divorce
Answer:
50% I think if I'm not mistaking
give proof and show work and ill give brainliest
Answer:
84in
Step by Step Explanation:
SA = 2bh + b^2
SA = 2(6)(4) + 6^2
SA = 48 + 36
SA = 84
The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
One kilogram is approximately 2.2 pounds. Write a direct variation equation that relates x kilograms to y pounds.
I need help please.
Answer:
x = 2.2y
Step-by-step explanation:
Given that,
1 kg = 2.2 pounds
We know that, the relation between kg and pounds is given by :
1 kg = 2.2 pounds
The variation equation can be given by :
Let x denotes kg and y denotes pounds.
So,
x = 2.2y
Hence, the variation is x = 2.2y.
I need help with this
Answer:
D
Step-by-step explanation:
[tex]r = \sqrt{ {(5 - 2)}^{2} + {(6 - 2)}^{2} } [/tex]
Plz guys help me plz
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3 p.m
Step-Hope this helps!!
Answer:
pretty sure 3pm
Step-by-step explanation:
You just subtract 9-6
So its 3pm :)
Which figure has just one line of symmetry?
1. B
2. A
3. D
4. C
Answer:
C
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION FAST Please qucickllyyy
Answer: 21.4
Step-by-step explanation:
Area of a triangle = (1.7 * 2)/2=1.7 m2
Area of a rectangle = 3 * 2 = 6 m2
3 * 6 = 18 m2 2 * 1.7 = 3.4 m2
the total area is 18 + 3.4 = 21.4 m2
Problem 5 Statement: 1. Andre received and spent money in the following ways last month. For each example write a positive or negative number to represent the change in money from his perspective. a. His uncle gave him $25 as a present. b. He earned $18 dollars tutoring. c. He spent $10 on a book. 2. What does 0 mean in this situation?
Answer:
$48
Step-by-step explanation:
One leg of a right triangle has a slope of -4. What is the slope of the other leg?
Answer:
Step-by-step explanation:
1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.
Find the perimeter of a quadrilateral with vertices at C (2, 4), D (1, 1), E (5, 0), and F (3, 4). Round your answer to the nearest hundredth when necessary.
9514 1404 393
Answer:
12.76 units
Step-by-step explanation:
The distance formula is useful for finding the lengths of segments between given coordinates.
d = √((x2 -x1)² +(y2 -y1)²)
Then the lengths of the line segments are ...
CD = √((1-2)² +(1-4)²) = √10
DE = √((5-1)² +(0-1)²) = √17
EF = √((3-5)² +(4-0)²) = √20
FC = √((2-3)² +(4-4)²) = 1
Then the perimeter is ...
√10 +√17 +√20 +1 ≈ 12.7575 ≈ 12.76 units
__
In the attached, the length of "polyline" CDEF is shown as 11.76. The segment FC is shown separately.
Find the missing terms in the arithmetic sequence
15 , ____ , ____ , ____,17
Answer:
n.m bnkjhb,nbhj
Step-by-step explanation:
16, 48,144,...
Find the 6th term.
True or False: When using a permutation, order matters.
False
True
Sixty percent of the flowers in Karen's garden are roses. Which of the following shows 60% roses?
A rose and a tulip
A. 2 tulips and 3 roses
B. 3 tulips and a rose
C. A tulip and 3 roses
D. A tulip and 4 roses
Answer:
a 2 tulips and 3 roses
Step-by-step explanation:
5 goes by 20%
20%
40%
60%
80%
100%
for any three dimensional figure the sum of the areas of all its faces is its
Answer:
surface area
Step-by-step explanation:
Using π = 3.14, what is the circumference of a circle with a diameter of 5.5 units?
Round your answer to the nearest hundredth.
Answer:
17.27
Step-by-step explanation:
so we do 5.5/2=2.75
2x3.14= 6.28
6.28x2.75=17.27
help me on this pls!!!
Answer:
NO,Step-by-step explanation:
because the ratio of their corresponding sides are not equal.
I need help with all of this
Martina,Keith,and Josh have a total of $116 in their wallets. Martina has $9 less than Keith. Josh has 3 times what Keith has. How much does each have?
Answer:
keith=25,Martina=16,Joes=75
Step-by-step explanation:
Use the given graph to determine the limit, if it exists.
eBook
Video
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate H. Use z-table.
a. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal
places.)
Answer:
Probability =0.9898
Step-by-step explanation:
Given that, mean = 4 = 300 standard deviation = 70 n = 100 PT = H = 128 oT = 0 / V n = 70/ v 100 = 7 a) within 6 = 300 ±6 = 294, 306 P(294< ī < 306) = P[(294 - 300) 7 < (ĩ -H ï) / o ĩ < (306 300) /7)] = P(-0.86 < Z < 0.86) = P(Z < 0.86) - P(Z < -0.86) Using z table, 0.8051 - 0.1949 %3D %3D %3D = 0.6102 Probability = 0.6102 a) within 18 = 300 t 18 = 294, 318 P(294< ī < 306) = P[(282 - 300) / 7< (ã -H i) / oī< (318 - 300) /7)] = P(-2.57 < Z< 2.57) = P(Z < 2.57) - P(Z < -2.57) Using z table, =0.9949 - 0.0051 =0.9898 Probability =0.9898
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 44 cards, which was 10% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:
since 10% = 44cards and 10% is 1 of tenth of hundred then 44x10 = 440 is the numbers of card sold on the Mother's day