The alternative and null hypotheses is given below,
Null Hypothesis, H0: μ1 - μ2 = 0
Alternative Hypothesis, Ha: μ1 - μ2 < 0
Compound Variance is given as,
sp = sqrt( s12n1+s22n2)
sp = sqrt(16973 + 112.3673)
sp = 1.9632
Test statistic of z is,
z = (x1bar - x2bar)/sp
z = (69 - 71)/1.9632
z = -1.02
P-value Approach, P=0.1539 as long as P>= 0.
As P-value >= 0.01, failing to rule out the null hypothesis.
What is known as a decimal mark?To differentiate between a whole number and its fractional component, a decimal point is used either as a point or a dot. It is also referred to as a decimal mark. The symbol for the decimal point is (.). In daily life, decimals are also frequently used. That whenever a shirt costs $10.50, for instance, the price can be written as 10.50.
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Write a linear function f with the values f(0) = 8 and f(4) = 20.
Step-by-step explanation:
f(0)=8
Coordinate: (0,8)
y intercept,c: 8
f(4)=20
Coordinate: (4,20)
gradient, m
= (20-8)/(4-0)
=3
Y=mx+c
f(x)=3x+8
f(x)=3x+8 is the linear function f with the values f(0) = 8 and f(4) = 20.
What is Linear Function?A linear function is a function that represents a straight line on the coordinate plane.
The given functions are f(0)=8 and f(4) =20
For f(0)=8
Coordinate: (0,8)
y intercept, c: 8
For f(4)=20
Coordinate: (4,20)
gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20
=( y₂-y₁)/(x₂-x₁)
= (20-8)/(4-0)=12/4
=3
The linear equation is in the form, y=mx+c
So f(x)=3x+8, where 3 is the slope and 8 is y intercept.
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Which answer best describes the system of equations shown in the graph?
A. NoSolution. B. One Solution
C. Infinitely Many Solutions
What is the volume of this sphere?
Use S 3.14 and round your answer to the nearest hundredth.
7 mm
cubic millimeters
Answer:
1436.03 mm³
Step-by-step explanation:
I believe the 7mm should be the radius?
The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³
[tex]\frac{4}{3}[/tex]π * 343
since pi is rounded to 3.14, we get
1436.026 mm³
Write down the inequality described by "half of x is no more than six", and solve it
Can someone please explain this to me
Answer:
d. 22%
Step-by-step explanation:
Yellow tokens = 11
Total tokens = 50
Probability of drawing yellow = 11/50 = 0.22
Multiply it by 100
you'll get 0.22*100 = 22 %
Hope you got it.
Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answer:
14.00x .15=2.10
14.00+2.10=16.10
Step-by-step explanation
$16.10
1/2expand the equation 1/2(3+4t-10)=
[tex] \frac{1}{2} (3 + 4t - 10)[/tex]
[tex] \frac{3}{2} + \frac{4t}{2} - \frac{10}{2} [/tex]
[tex] (\frac{3}{2} - \frac{10}{2}) + 2t [/tex]
[tex] \frac{ - 7}{2} + 2t[/tex]
[tex] - 3.5 + 2t[/tex]
can someone answer my question now please (╯︵╰)
EXERCISE 1:
A. Directions: Find the quotient.
1. What is 45.80 divided by 20?
2. What is the quotient of 243.15 and 15?
3. Find the quotient when 94.5 is divided by 15?
4. How many 8 kg are there in 164.44kg?
5. How many 5 m are there in 261.45m?
B. Directions: Find the quotient.
1. 10.14 + 2.6 = ________
2. 1.332 + 1.5 = ________
3. 12.35 + 1.9 = ________
4. 332.38 + 1.6 = _______
5. 73.8 + 3.6 = _________
Answer: 1.)2.29 2.)16.21 3.)6.3 4.)20.555 5.)52.29
1.)12.74 2.)2.832 3.)14.25 4.)333.98 5.)77.4 Glade to help
Step-by-step explanation:
A store manager receives a delivery of 2 boxes of lightbulbs. Each box contained 2 broken light bulbs.
The 1st box contained 24 light bulbs.
The 2nd box contained 16 light bulbs.
Which statement is true?
A The probability of randomly selecting a broken light bulb from the 1st box is equal to the
probability of selecting a broken light bulb from the 2nd box
B The probability of randomly selecting a broken light bulb from the 1st box is 1/2
С The probability of randomly selecting a broken light bulb from the 1st box is less then the
probability of selecting a broken light bulb from the 2nd box
D The probability of randomly selecting a broken light bulb from the 1st box is equal to 1
Answer:
I think its C. correct me if I'm wrong
Step-by-step explanation:
Pls be right will give brainliest
Answer: B
Step-by-step explanation:
The circumference of a circle is 13π m. What is the area, in square meters? Express your answer in terms of π π.
Answer:
13×(22/7)whole square
Answer:
42.25π
Step-by-step explanation:
The circumference is the diameter times pi.
This means that 13π/π=13 (the diameter)
The radius is diameter/2, so it is 13/2 which is 6.5
The area is the radius squared times pi
6.5^2 = 42.25
42.25π is the area
Line segment AC is given by A (-3,6) and B (6,9). Find the coordinates of point B such that AB:BC is 2:1 Please help now
Answer:
(0, 7)
Step-by-step explanation:
Using the midpoint formula expressed as;
M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]
where a and b are the ratios
Given
a = 2
b = 1
x1 = -3
y1 = 6
x2 = 6
y2 = 9
Get the coordinate of B
Get X;
X = ax1+bx2/a+b
X = 2(-3)+1(6)/2+1
X = -6+6/3
X = 0/3
X = 0
Get Y;
Y = ay1+by2/a+b
Y = 2(6)+1(9)/2+1
Y = 12+9/3
Y = 21/3
Y = 7
Hence the coordinate of B is (0, 7)
Miguel ran 3.8 miles on Monday, 3.9 miles on Tuesday, 4.2 miles on Wednesday and 4.4 miles on Thursday. How many miles should he run on Friday to have an average of 4 miles per day
Answer:
Step-by-step explanation:
Solutions
Solution: Using a table
A B C D E F
Number of Minutes 150 15 7.5 30 45 60
Number of Miles 20 2 1 4 6 8
The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.
If we look in column E, we can see that it would take her 45 minutes to run 6 miles.
If we look in column B, we can see that she could run 2 miles in 15 minutes.
If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.
If we look in column C, we can see that her pace is 7.5 minutes per mile.
Solution: Finding a unit rate
If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5minutesmile×6 miles=45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
What is an equation of the line star passes through the points(-8,8) and(4,-1)? Put your answer in fully reduced form
PLEASE HELP!!!!!!
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.
0, 10, 18, 25, 33, ...
A. yes
common difference: −9
next three terms: 24, 15, 6
B. not an arithmetic sequence
C. yes
common difference: 10
next three terms: 43, 53, 63
D. yes
common difference: 8
next three terms: 41, 49, 57
Step-by-step explanation:
B) not an arithmetic sequence
d not equal in the sequence
Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with scale factor 1/5
Answer: a. AB = 15cm long.
b. AB = 11.1cm long.
Step-by-step explanation: Image of AB after a dilation of scale factor 5 is 5 × 3cm = 15cm long.
Image of AB after a dilation of scale factor 3.7 is 3cm × 3.7 = 11.1cm long.
Evaluate the function graphically -!
Step-by-step explanation:
to find f(6) we basically see which y coordinate correlates with x = 6
in this case the answer is 5
HELP ME PLEASEE GEOMETRY!!! WILL GIVE BRAINLIEST AND 5 STARS!!
Hey i need help please
if
Answer:
May you put the question is? Or the screenshot of it?
Step-by-step explanation:
Answer:
What do you need help with?
Kyra was at soccer practice. she blocked 55% of the goals that were kicked at her during a team drill. ashley scored two of the 18 goals that were made during the drill. how many total kicks were attempted
Answer-
Total kicks that were attempted = 40
Explanation
Goals blocked by Kyra = 55%;
Goals which could not be blocked by Kyra = 100 - 55 = 45%
Goals made during team drill = 18
Let total kicks attempted be 'n';
Therefore;
(18/n) × 100 % = 45 %
18/n = 45/100;
n = 1800/45;
n = 40
The time period "percentage" is derived from the Latin per centum, which means "hundred" or "with the aid of the hundred".[5][6] The sign for "percentage" evolved via gradual contraction of the Italian term in line with cento, which means "for 100". The "according to" turned into regularly abbreviated as "p."—subsequently disappeared completely. The "cento" was reduced in size to two circles separated through a horizontal line, from which the present day "%" image is derived.
In mathematics, a percentage (from Latin: in line with centum, "by a hundred") is quite a number or ratio expressed as a fraction of 100. it's miles often denoted using the percentage signal, "%",[1] although the abbreviations "pct.", "pct" and sometimes "pc" also are used.[2] A percentage is a dimensionless number (natural wide variety); it has no unit of size.
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the graph shows the number of calories Natalia burned while running.
What is the slope of the line ?
What does the slope tell you ?
Answer:
slope is y=10x.
Slope shows that she is consistently burning 10 calories per minute
Step-by-step explanation:
Nancy hopes to collect 100 oysters from the ocean. She has
collected 15% of her goal so far. How many oysters does
she have?
Answer:
15 oysters have been collectedStep-by-step explanation:
15/100 x 100
100 on the right hand side being the oysters she must collect and the 15% being the percentage of oysters she has collected divided by 100 which is used when finding out the percentage of numbers
Name the shapes that are being described.
a.) ‘I have three sides that are all the same length.
I have three equal angles.
I have three lines of symmetry and rotational symmetry of order 3.
b.) ‘I have four sides.
I have one line of symmetry and rotational symmetry of order 1.
Two of my angles are equal.I have two pairs of equal length sides.
C.) ‘I have six sides.
All my sides are the same length.
I have six lines of symmetry and rotational symmetry of order 6
Help! I keep seeing different answers! Thank you!!
Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.
Answer:
1 mile
Step-by-step explanation:
Step one:
given
total distance = 15miles
Jack walks at a pace of 1.5 miles per hour
after 4 hours he will cover a distance of
1.5*4= 6 miles
Jill walks at a pace of 2 miles per hour
after 4 hours he will cover a distance of
2*4= 8 miles
Step two:
The total distance jack and jill must have covered after 4 hours is
8+6= 14 miles
the distance apart will be 15-14= 1 mile
Use a sample n = 500, = 0.90, and a 95% confidence level to construct a confidence interval estimate of the population proportion, p.
0.887 < p < 0.913
0.878 < p < 0.922
0.874 < p < 0.926
0.817 < p < 0.983
Answer:
0.874 < p <0.926
Step-by-step explanation:
The population proportion lies in the interval 0.8738 < p < 0.9262 with 95% confidence.
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
Given, A sample having n = 500, p = 0.90, and we have to construct a 95% confidence interval.
We know the confidence interval for a population proportion is,
CI = [tex]P \pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1 - P)}{n}}[/tex].
CI = 0.9 ± 1.96×{√(0.9×0.1)/500}.
CI = 0.9 ± 1.96×√(0.09/500).
CI = 0.9 ± 1.96×0.0134.
CI = 0.9 ± 0.0262.
Therefore, 0.9 - 0.0262 < p < 0.9 + 0.0262.
0.8738 < p < 0.9262.
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In a mathematics test of 20 questions each rightanswer is awarded 5 marks and 2 marks deducted for each wrong answer given. A certain student got 65%. How many questions did she get right?
A. 13
B. 7
C. 15
D. 5
Answer:
C. 13
Step-by-step explanation:
65% = 65/100
divide 65 by 5= 13
why? because each answer is worth 5 marks so we divide the total by 5.
Factor the polynomial.
5x2 + 11x + 2
Answer:
(5x+1)(x+2)
Step-by-step explanation:
Factor 5x2+11x+2
5x2+11x+2
=(5x+1)(x+2)
Answer:
10x?
Step-by-step explanation:
for a polynomial of the form ax2 + bx + c, rewrite the middle term as a sum of two terms whose product is a*c = 5*2 = 10 and whose sum is b = 11
The quadratic functions f(x) and g(x) are described as follows
g(x)
0 -5 1 3 2 11 3 3 4 -5
Which statement best compares the maximum value of the two functions?
The descriptions of the quadratic functions f(x) and g(x) are as follows:
f(x) = [tex]-2x^{2} +9[/tex]
x g(x)
0 −5
1 3
2 11
3 3
4 −5
Which sentence compares the two functions' maximum values the most effectively?
(a)The maximum value is the same for both functions.
(b) f(x) has a greater maximum value than g(x).
(c) The greatest value of g(x) is bigger than that of f(x).
(d) The maximum values cannot be determined.
The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).
The maximum value is the point at which a function reaches its peak is known as its maximum value.
To compare both functions.
Take function f(x)= [tex]-2x^{2} +9[/tex]
Differentiate the function f(x)
f'(x) = -4x
Take f'(x) as 0
-4x = 0
x = 0
Substitute x = 0 in f(x)
f(0) = [tex]-2(0)^{2} +9[/tex]
f(0) = 9
This means that the greater value of function f(x) is 9.
From the table of function g(x), the maximum is 11.
11 is greater than 9
Therefore, The greater value of g(x) is bigger than that of f(x).
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if bobby were to draw a triangle on a coordinate grid. Then rotate it 90 degrees clockwise, translate it right 3 units to the right and then dilated by a scale factor of 2. What is true about the 2 triangles? A. They are similar but not congruent B. They are similar and congruent C. They are not similar and not congruent D. They are not similar but congruent
Answer:
c
Step-by-step explanation: