Answer:
Follows are the responses to the given question:
Step-by-step explanation:
In point a:
z score for 3:
[tex]= \frac{(3 - 5.3)}{1.1} \\\\ =-2.09[/tex]
So,
P(Less than 3.0 mm):
[tex]=P(z < -2.09)\\\\ = 0.0183[/tex]
In point b:
z score for 7:
[tex]= \frac{(7 - 5.3)}{1.1} \\\\= 1.55[/tex]
So,
P(Less than 3.0 mm):
[tex]= P(z > 1.55) \\\\= 0.0611[/tex]
In point C:
P(Between 3 and 7):
[tex]= P(-2.09 < z < 1.55)\\\\\ = 0.9206[/tex]
The area (in square inches) of a rectangle is given by the polynomial function A(p) = p2 + 9p + 20. If the length of the rectangle is (p + 5) inches, what is the width?
Answer:
[tex]Width = p + 4[/tex]
Step-by-step explanation:
Given
[tex]Area = p^2 + 9p + 20[/tex]
[tex]Length = p + 5[/tex]
Required
Determine the width
The area of a rectangle is:
[tex]Area = Length * Width[/tex]
This gives:
[tex]p^2 + 9p + 20= (p+5)* Width[/tex]
Expand
[tex]p^2 + 4p + 5p + 20= (p+5)* Width[/tex]
Factorize
[tex]p(p + 4) + 5(p + 4)= (p+5)* Width[/tex]
[tex](p + 5) (p + 4)= (p+5)* Width[/tex]
Divide both sides by p + 5
[tex]p + 4= Width[/tex]
[tex]Width = p + 4[/tex]
To determine the organic material in a dried lake ted, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different.
Location1(%C) Location2(%C)
1 10.40 10.10
2 10.20 10.90
3 10.30 10.20
4 10.40 10.70
5 10.20 10.40
a-1. Far each location, calculate the standard deviation and report it.
- location 1: _____
- location 2: _____
a-2. What is the calculated F value for comparing the standard deviation?
b. Are the two standard deviations for the locations significantly different at the 95% confidence level?
A. yes.
B. No.
c. What is the calculated t value used to compare the means of these two locations?
d. Are the means for the two different locations significantly different at the 95% confidence level?
A. yes.
B. No.
Answer:
a-1.- location 1: =0.01- location 2: =0.113
a-2. F= 0.08849
b. A. yes.
c. t= -1.020
d. B. No.
Step-by-step explanation:
Location1(%C) Location2(%C)
x x² y y²
1 10.40 108.16 10.10 102.01
2 10.20 104.04 10.90 118.81
3 10.30 106.09 10.20 104.04
4 10.40 108.16 10.70 114.49
5 10.20 104.04 10.40 108.16
∑ 51.5 530.49 52.3 547.51
x`= ∑x/n1 = 51.5/5= 10.3; y`= ∑y/n2= 52.3/5= 10.46
Sx² = 1/n1-1[ ∑x² - (∑x)²/n1] = 1/4[ 530.49 - (51.5)²/5]
= 1/4[ 530.49 - 530.45] = 0.01
Sy² = 1/n2-1[ ∑y² - (∑y)²/n2] = 1/4[ 547.51 - (52.3)²/5]
= 1/4[ 547.51 - 547.058] = 0.113
F= Sx²/Sy²= 0.01/0.113= 0.08849
The critical region is F ≥ F(0.025) (5,5)= 7.15
and F ≤ 1/F(0.025) (5,5) = 1/7.15= 0.13986
Since the calculated value of F =0.08849 falls in the critical region we conclude that the two standard deviations for the locations significantly different at the 95% confidence level.
c. t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)
t= 10.3-10.46/ sqrt( 0.01/5 +0.113/5)
t=- 0.16/0.15684
t= -1.020
d. The calculated value t= -1.020 does not fall in the the critical region
t (0.025) (4) = ±2.776 we conclude that the means for the two different locations are not significantly different at the 95% confidence level.
The local scouting club is doing a car wash fundraiser. If
they charge $8 per car, which table below describes how much
they will earn for every 4 cars washed?
Answer:
Step-by-step explanation:
8x4 32
32 bucks
URGENT PLEASE HELP The perimeter of AJKL is 106. Find the length of
midsegment ST.
J
5x +7
S
3x +3
4x-1
(not drawn to scale)
K
A
17
B
15
16
D
18
Answer:
16
Step-by-step explanation:
3x+3+3x+3+5x+7+4x-1+4x-1=106
19x+11=106
19x=95
x=5
JL=5(5)+7=32
ST=1/2 of JL = 1/2 of 32 = 16
The length of midsegment ST will be 6. The perimeter of the triangle is given.
What is perimeter?It's the sum of length of the sides used to make the given figure.
The perimeter of AJKL is 106;
⇒KS+SJ+JL+LT+TK=106
⇒3x+3+3x+3+5x+7+4x-1+4x-1=106
⇒19x+11=106
⇒19x=95
⇒x=5
The side JL is obtained by,x=5
JL=5x+7
JL=5×(5)+7
JL=32
The side ST is obtained
ST=(1/2)×JL
ST= 1/2 of 32
ST = 16
Hence, the length of midsegment ST will be 16.
Learn more about perimeter refer:
https://brainly.com/question/10466285
#SPJ2
Which of the following classifications best represents the triangle below
Answer:
Since this triangle seems to be 180 degree, and one angle is 90 degrees and the other is half thslat value (45), the other value will be 45 degrees. It is an Isosceles triangle
what is the value of the expression below?
5/9 / 1 2/3 x 3 3/5
A: -1 1/5
B: 1 1/5
C:-1/3
D: -3 1/3
No links
Answer:
B) 6/5 or 1 1/5
Step-by-step explanation:
5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5
The median and mean scores for a math test are shown.
Which distribution of scores would best account for the difference in the median and mean?
Median Score: 82%
Mean Score: 70%
Answer:
A? I think
Step-by-step explanation:
Each month, a phone company charges $20 for 500 minutes of talking time plus $0.45 for each additional minutes. Unlimited texting costs $30 more. Choose an expression to show the cost of a talk-and-texting plan for one month, given x minutes over 500
A. 0.45 + 50x
B. 50 + 0.45x
C. 30 + 20x
D. 500 + 50 + 0.45x
Someone please help on this question
Answer:B
Step-by-step explanation:If 500 minutes of talk = 20 and texting = 30 and each additional minute of talk = 0.45 then the bill would be (for B = total cost)
Find a measure of the missing angle
G
H
K
M
Answer:
h = 65, g = 115, m = 49, k = 131
Step-by-step explanation:
h and 115 are supplementary angles, so 180 - 115 is 65 degrees.
g and 115 are vertical angles, so both should be 115 degrees.
m and 131 are supplementary angles, so 180 - 131 = 49 degrees.
k and 131 are vertical angles, so both should be 131 degrees.
20% of the 65 coffee mugs at Toby's Pancake House are dirty. How many dirty are there at the pancake house? pls answer asap for brainliest
Answer:
13
Step-by-step explanation:
20% of 65 = 0.2 * 65 = 13
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12
Answer:
Step-by-step explanation:
These four numbers are plotted on a number line:
3
1
2 5
38
Which is the correct ordering on the number line, from right to left?
1
2
2
3
1
1
2
3
5'
2
3
3
5
8
5
3
2
5
1
2
Answer:
the correct ordering to the number line it is from left to the right
Write an expression for "the sum of a and four".
Please help!!
10 POINTS
Answer5:
Step-by-step explanation:
Answer:
4+a=x
Step-by-step explanation:
sum means addition of two or more terms so if the sum of a and four is the question, I represented the result with x cause it is unknown but the question is. Thank you
plssss help can i have a discord and call me plssss
Answer:
1/24
Step-by-step explanation:
SHAWTYYY THIRSTY
Answer:
21/24-20/24=1/24
Step-by-step explanation:
Make the denominators same by multiplying the fraction with a number that will make the denominators equal i.e 3 for first fraction and 4 for the second fraction.
NEED HELP BADLY !!!!
An expression is shown below:
2x3y + 8xy − 4x2y − 16y
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Plz, give well-thought-out answers!!!
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
Two mathematical questions attached below.
Answer:
See below
Step-by-step explanation:
[tex]9.( {m}^{3} {n}^{5} )^{ \frac{1}{4} } \\ = m^{\frac{3}{4}}n^{\frac{5}{4}}\\ \\ 10. \sqrt[5]{ \sqrt[4]{x} } \\ = \sqrt[5]{ {x}^{ \frac{1}{4} } } \\ = {( {x}^{ \frac{1}{4} } )}^{ \frac{1}{5} } \\ = {x}^{ \frac{1}{4} \times \frac{1}{5} } \\ = {x}^{ \frac{1}{20} } \\ \\ \sqrt[5]{ \sqrt[3]{ {a}^{2} } } \\ = \sqrt[5]{ {a}^{ \frac{2}{3} } } \\ = {( {a}^{ \frac{2}{3} } )}^{ \frac{1}{5} } \\ = {a}^{ \frac{2}{3} \times \frac{1}{5} } \\ = {a}^{ \frac{2}{15} } [/tex]
50 m
50 m
h
28 m
Find the area of the isoceles triangle.
The area is
square meters.
Answer:
700 m^2
Step-by-step explanation:
If the height is 28, and the base is 50, do the triangle area formula for the area.
1/2 28 * 50 = 14 * 50 = 700
Answer:
I believe it should be 700
Step-by-step explanation:
Formula: B times H times 1/2
how did you determine ray
Answer:
In naming a ray, we always begin with the letter of the endpoint (where the ray starts) followed by another point on the ray in the direction it travels. Since the vertex of the angle is the endpoint of each ray and our vertex is , each of our rays must begin with . Only fails to do so.
Answer:
A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray. A ray is named using its endpoint first, and then any other point on the ray (for example, →BA ).
Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).
Answer:
19
Use the given functions to set up and simplify
2) What is the value of y?
A) 2 B) 10 C)9 D)12
(geometry)
Answer:
D) y = 12
Step-by-step explanation:
One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:
[tex]\frac{a_1}{b}=\frac{a_2}{c}[/tex]
Where ([tex]a_1[/tex]) and ([tex]a_2[/tex]) are a part of the side that is intersected by the angle bisector and ([tex]b[/tex]) and ([tex]c[/tex]) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.
[tex]\frac{4}{8}=\frac{6}{y}[/tex]
Simplify,
[tex]\frac{1}{2}=\frac{6}{y}[/tex]
Cross products,
[tex]12=y[/tex]
I WILL AWARD BRAINLIEST !!!!!urgent pls help!!!!!! the width of a pool table is x feet and the length is 3 feet longer than the width. write a polynomial A(x) to represent the area of the pool table. find a (4)
Answer:
28
Step-by-step explanation:
A(x) = x * (x + 3)
= x^2 + 3x
A(4) = 4^2 + 3(4)
= 16 + 12
= 28
Answer:
a(4)=4^2+3(4)
a(4)=16+12
a(4) =28 ft ^2
If AB is 150 then P equals?
Answer:
Wouldn't P be something less or equal to an acute angle? Try 75°.
Answer:
its 300∘ I got it right
given that cosθ = 0.678 where 0<θ
Answer:
θ = 47.312447
Step-by-step explanation:
I assume you are trying to find θ
The first thing you do is to find θ is to do the acos of 0.678
θ = acos(0.678)
θ = 47.312447
(8+2) divided by 5 x (g + 4 ) = 32
Answer:
g=12
Step-by-step explanation:
You have to solve the inequality
the washington family is applying for a loan to purchase a new home, in order to qualify the must have a net worth greater than $100,000
Answer:
yes the answer is definitely C
A sandwich shop sells sandwiches for $3.75 each, including tax.
The shop received a total of $90.00 from the sales of
sandwiches one afternoon.
Write an equation that can be used to determine the number
of sandwiches, x, sold by the sandwich shop that afternoon.
3.75 times x = 90
90 divided by 3.75= 24
mark brainliest if right
Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
The inflation rate was about
nothing%.
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420|
69,420
PLS HELP
ILL GIVE BRAINLIEST DUE SOON SHOW YOUR WORK
If angle 1 is 110°, what would the other angle measures
have to be in order for m | n and
9 || p?
Angle 2 =
Angle 3 =
Angle 4 =
Answer:
If Angle 1 is 110,
then the second angle to complete the straight angle (180 degrees) is...
180 - 110 = 70
Angle 2 = 110 (same as Angle 1, plus it's obtuse)
Angle 3 = 70 (it's acute)
Angle 4 = 70 (same as Angle3, plus it's acute)
PLS HELP QUICK! Thanks
Answer:
dddd
Step-by-step explanation: