The Test value for difference between the mean numbers of calls for the two shifts at the 0.05 level of significance is 31.94
According to the question,
Karen's data:
Sample size : n₁ = 37
Sample mean = 4.5
Sample standard deviation : s₁ = 1.1
Jodi's data ,
Sample size : n₂ = 32
Sample mean = 5.3
Sample standard deviation : s₂ = 1.5
To calculate significance difference between two means we use t-test
t = difference of mean / √(pooled variance / n₁ + n₂)
Pooled Standard deviation = [tex]\sqrt(\frac{(n_1 - 1)s_1^{2} + (n_2 - 1)s_2^{2})}{n_1 + n_2 -2}[/tex]
=> [tex]\sqrt(\frac{(37 - 1)1.21+ (32 - 1)2.25)}{37 + 32 -2}[/tex]
=> [tex]\sqrt(\frac{(43.56+ 69.75)}{67}[/tex]
=>[tex]\sqrt(\frac{(113.31)}{67}[/tex]
=> √1.6911
t = 37 - 32 / (√1.6911/37+32)
=> 5 / √0.0245
=> 31.94 is test value
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find the distance cd round to nearest tenth
The distance between the points is, 15.0.
What is distance between points?
The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.
The distance between two points in a plane is the length of the line segment separating the two points. Typically, the equation
d=√((x2 - x1)^2 + (y2 - y1)^2) is used to calculate the distance between two points. You can use this formula to get the separation between any two points on an x-y plane or coordinate plane.
The given points are, (7, -4) and (-8, -5).
We have to find the distance between this two points using the formula,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here,
[tex](x_1, y_1) = (7, -4) \\(x_2, y_2) = (-8, -5)[/tex]
Plug these values in the above formula,
[tex]d = \sqrt{(-8-7)^2+(-5-(-4))^2}\\d = \sqrt{(-15)^2+(-1)^2} \\d = \sqrt{225 + 1}\\ d = \sqrt{226} \\d = 15.03329\\d = 15.0[/tex]
Hence, the distance between given two points is 15.0.
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I have absolutely no idea, what this is, or how to solve it. Pls help a sista out
The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.
Given that,
The piecewise function are
h(x)=[tex]\left \{ {{-3x-11, for x < -7} \atop {4,for -7\leq x < 4 \atop {x+8, for x\geq 4}} } \right.[/tex]
We have to find the values of the function h(-7), h(-2),h(4) and h(6).
What is a piecewise function?A function with different definitions at different intervals of x is known as a piecewise function, or f(x). Each section of the graph of a piecewise function corresponds to one of the definitions. The absolute value function is an excellent example of a piecewise function.
Take the function
h(-7)
-7 only satisfy in the function h(x)=4 for -7≤x<4
So,
h(-7)=4
Take the function
h(-2)
-2 satisfy the function h(x)=4 for -7≤x<4
So,
h(-2)=4
Take the function
h(4)
4 only satisfy in the function h(x)=x+8 for x≥4
h(4)=4+8=12
h(4)=12
Take the function
h(6)
6 only satisfy in the function h(x)=x+8 for x≥4
h(6)=6+8=14
h(6)=14
Therefore, The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.
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Please help due tonight.
Answer:
a) 3⁶ • 5⁶
Step-by-step explanation:
Given expression,
→ (3 • 5)⁶
Let's simplify the expression,
→ (3 • 5)⁶
→ 3⁶ • 5⁶
Hence, the answer is 3⁶ • 5⁶.
Find the sum of the interior angles for a hexagon. 540° 720° 900° 1,080°
The sum of interior Angles of Hexagon is always 720°
Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:
720°÷6 = 120°
In a regular hexagon, each inside angle is 120°.
An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.
Therefore, the interior angles of a hexagon are always added up to 720°.
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Calculator
What is the mean for the data set?
82, 75, 48, 78, 54
Express your answer as a decimal to the nearest tenth.
The mean of the data calculated by the standard method is 67.4 .
The given data set is:
82, 75, 48, 78, 54
To find the mean we have to find the total value of all the data together.
Total value = 82 + 75 + 48 + 78 + 54 = 337
frequency of data(total number of independent data) = 5
Mean = total value / frequency
or, mean = 337 / 5 = 67.4
The mean is one of the metrics of central tendency, along with the mode and median. The mean is just the average of the values in the specified set. It suggests that values in a specific data set are evenly distributed.
In order to find the mean, the total values provided in a datasheet must be added, and the sum must be divided by the total number of values.
Therefore the mean of the data set is 67.4.
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Yesterday, Grace drove 30 1/2miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
The unit rate for miles per gallon is 24.4 miles/gallon.
Given,
Distance travelled, d = 30 1/2 miles.
Grace used 1 1/4 gallons of gasoline.
We need to find the unit rate for miles per gallon. It can be calculated by dividing no of miles by gallons of gasoline. So,
R = 30 1/2 / 1 1/4
R = 61/2/5/4 miles per gallon
R = 61/2 × 4/5
R = 24.4 miles per galllon.
Hence we get the answer as 24.4 ,miles per gallon.
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The quantity of an element is decaying over time such that the amount of material at any time is given by the function G(t)=9000(0.7)^2t. Write an equivalent function of the form G(t)=ab^t
Answer:
see below
Step-by-step explanation:
= 9000 ( .7^2) ^t = 9000 (.49)^t
Answer:
[tex]G(t)=9000(0.49)^{t}[/tex]
Step-by-step explanation:
Given function:
[tex]G(t)=9000(0.7)^{2t}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies G(t)=9000(0.7^2)^{t}[/tex]
Simplify:
[tex]\implies G(t)=9000(0.49)^{t}[/tex]
Write an equation for the table below:f(x)=a(b)^x
Answer:
f(x) = 13 [tex](3)^{x}[/tex]
Step-by-step explanation:
we require to find a and b
using ordered pairs from the table and substituting into f(x)
f(x) = a[tex](b)^x}[/tex]
using (0, 13 )
13 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 13
f(x) = 13[tex](b)^{x}[/tex]
using (1, 39 )
39 = 13[tex]b^{1}[/tex] = 13b ( divide both sides by 13 )
3 = b
f(x) = 13 [tex](3)^{x}[/tex]
Answer:
[tex]f(x)=13(3)^x[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
The y-intercept of a function is the y-value when x = 0.
From inspection of the table, the y = 13 when x = 0, so a = 13:
[tex]\implies f(x)=13(b)^x[/tex]
Substitute the ordered pair (1, 39) into the equation and solve for b:
[tex]\begin{aligned}f(1)=13(b)^1&=39\\13b&=39\\b&=\dfrac{39}{13}\\b&=3\end{aligned}[/tex]
Therefore, the equation for the given table is:
[tex]f(x)=13(3)^x[/tex]
Prove algebraically that the sum of 1/2n(n+1) and 1/2(n+1)(n+2) is always a square number.
This proves that the sum of 1/2n(n+1) + 1/2(n+1)(n+2) is always a square number.
What is square number?When a number is multiplied by itself, the result is a square number. As an illustration, 25 is a square number as it is composed of 5 groups of 5, or 5 x 5. A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number as it equals 32 and is represented by the symbols 3.
Here,
Find the sum:
=1/2n(n+1) + 1/2(n+1)(n+2)
=1/2(n² + n) + 1/2(n² + 3n + 2)
=1/2(n² + n + n² + 3n + 2)
=1/2(2n² + 4n + 2)
=n² + 2n + 1
=(n + 1)²
This demonstrates that 1/2n(n+1) + 1/2(n+1)(n+2) is always a square number when added together.
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factorise 3xsquared+5x+2
HI PLS HELP ME ON MY MATH HOMEWORK I WILL ALSO GIVE BRAINLIEST
Answer:
Step-by-step explanation:
32,54,52
Jackon i working two ummer job, making $10 per hour wahing car and $12 per hour landcaping. Lat week Jackon worked a total of 14 hour and earned a total of $152. Determine the number of hour Jackon worked wahing car lat week and the number of hour he worked landcaping lat week
The number of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .
Let x be no . of hours spent washing car and y be no . of hours spent in landcaping .
According to question ,
x + y = 14 ....... eqn ( 1 )
( 10 * x ) + ( 12 * y ) = 152
10 x + 12 y = 152 ...... eqn ( 2 )
Solving linear eqn in 2 variable
Mult . eqn ( 1 ) by 10 ,
10 x + 10 y = 140 ....... eqn ( 3 )
Subtracting eqn ( 2 ) from eqn ( 3 ) we get ,
( 10 x + 10 y ) - ( 10 x + 12 y ) = 140 - 152
- 2 y = - 12
y = 6
Substituting value of y in eqn ( 1 )
x = 8
Hence , the no . of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .
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HELP PLEASE I DONT UNDERSTAND AND I NEED THE ANSWERS NOW
The density of grape juice is 1.07 grams per cm³.
The density of fruit syrup is 1.6 grams per cm³.
The density of carbonated water is 0.99 grams per cm³.
35 cm³ of grape juice are mixed with 25 cm³ of fruit syrup and
310 cm³ of carbonated water to make a drink with a volume of 370 cm³.
Work out the density of the drink.
Give your answer correct to 2 decimal places.
Answer:
2
Step-by-step explanation:
The density of the drink is approximately 1.04 g/cm³.
What is the density?Density is the ratio of mass and volume.
density = mass/volume
To work out the density of the drink, you will need to calculate the total mass of the drink and then divide it by the volume of the drink.
First, you can calculate the mass of the grape juice by multiplying the density of grape juice by the volume of grape juice:
Mass of grape juice = Density of grape juice x Volume of grape juice
= 1.07 g/cm³ * 35 cm³
= 37.45 grams
Then, you can calculate the mass of the fruit syrup in the same way:
Mass of fruit syrup = Density of fruit syrup x Volume of fruit syrup
= 1.6 g/cm³ x 25 cm³
= 40 grams
Finally, you can calculate the mass of the carbonated water in the same way:
Mass of carbonated water = Density of carbonated water x Volume of carbonated water
= 0.99 g/cm³ * 310 cm³
= 308.9 grams
To find the total mass of the drink, you can add the mass of the grape juice, the mass of the fruit syrup, and the mass of the carbonated water:
Total mass of drink = 37.45 grams + 40 grams + 308.9 grams
= 386.35 grams
To find the density of the drink, you can divide the total mass of the drink by the volume of the drink:
The density of drink = Total mass of drink / Volume of drink
= 386.35 grams / 370 cm³
= 1.04 g/cm³
Therefore, the density of the drink is approximately 1.04 g/cm³.
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lescribed below.
9. Translate left 12 units, stretch by a factor of 4,
and reflect over the x-axis. Then state the
vertex.
g(x)=
vertex:
Translate left 12 units, stretch by a factor of 4, and reflect over the x-axis. Then state the vertex. g(x)= vertex:
Using the transformation concepts, it is found that:
The rule for g is: [tex]g(x) = -4x^{2}[/tex]
The vertex is: (0,0).
Stretching a function f(x) vertically by a factor of b is given by:
[tex]g(x) - bf(x)[/tex]
Reflecting a function over the x-axis is the equivalent of:
g(x) = -f(x)
The original function is: [tex]f(x) = x^{2}[/tex]
Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^{2}[/tex]
Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^{2}[/tex], which is the rule for g.
From the above equation, added at the end of this answer, the vertex is at (0,0).
Hence the answer is the vertex is at (0,0)
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On god I need help with this
Answer:
below
Step-by-step explanation:
Domain is the set of all x values a function can have
this one goes from - inf to the asymtope at x = 2
(-∞, 2) domain
range is the y values the function can have
looks like 0 to - inf
(- ∞, 0] ( but it COULD be ( -∞, 0) <===cannot tell from graph)
please answer my math question only the b part I have done the a part so only answer the b part
Answer:
c = 112 , d = 29
Step-by-step explanation:
c and 68 are a linear pair and sum to 180° , that is
c + 68 = 180 ( subtract 68 from both sides )
c = 112
the 3 angles 30, 3d - 5 and 68 lie on straight line AOB and sum to 180° , so
30 + 3d - 5 + 68 = 180
3d + 93 = 180 ( subtract 93 from both sides )
3d = 87 ( divide both sides by 3 )
d = 29
What is the slope of a line parallel to Y =- 3 2x 3?.
The slope of the line parallel to y = -3/2 x + 3 is -3/2.
What is the slope-intercept form?
The slope - intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
The slope intercept form of an equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.
Here , we are given that the line is parallel to y = -3/2x + 3 ---(i)
By comparing (i) with slope-intercept form of equation for a straight line. we get the slope of (i) as -3/2.
i.e., the slope of (i) is m= -3/2.
And we know that two parallel lines have same slope which gives the slope of the line parallel to (i) -3/2.
Therefore, the slope of the line parallel to y = -3/2 x + 3 is -3/2 .
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NOTE : The question given here is not complete. The complete question is given below.
Question: What is the slope of a line parallel to y= -3/2 x + 3?.
ASAP
(8.2 x 10^-3) x (2.0 x 10^2)=?
The value of the expression is 1.64.
What is an exponent?The number of times a number is multiplied by itself is referred to as an exponent.
The given expression is (8.2×10⁻³)×(2.0×10²).
Simplify the expression as follows:
(8.2×10⁻³)×(2.0×10²)
=16.4×10⁻³⁺²
= 16.4 × 10⁻¹
= 16.4 × 1/10
= 1.64
Hence, the value of the expression is 1.64.
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If the end behavior is increasing to the left and increasing to the right, what must be true about the function?.
If the end behavior is increasing to the left and increasing to the right, the function must be of an even degree and must have a positive leading coefficient.
Here, we are given a function whose end behavior is increasing to the left and increasing to the right.
This will happen when the degree of the function is even. For example, if we have a quadratic function- a[tex]x^{2}[/tex] + bx + c, the graph of the given function will either be increasing to the left and increasing to the right or decreasing to the left and decreasing to the right.
Whether it is increasing or decreasing will depend on the leading coefficient or the coefficient of the highest power of the independent variable.
If the leading coefficient is positive, the end behavior will be increasing, whereas if its negative, it'll be decreasing.
Thus, If the end behavior is increasing to the left and increasing to the right, the function must be of an even degree and must have a positive leading coefficient.
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Felipe is paid $1,000 every month plus an additional bonus for every tractor he sells, x. Write an equation to represent the total amount of money, y, Felipe makes every month
The linear equation representing the total amount of money Felipe makes every month be
y = x + 1000
Given, Felipe is paid $1,000 every month plus an additional bonus for every tractor he sells, x.
Let the total amount of money be, y
as, felipe gets a fixed amount i.e. $1000 every month.
now, let felipe gets 'x' amount as the additional bonus.
So, the linear equation be,
y = 1000 + x
Hence, the linear equation representing the total amount of money Felipe makes every month be
y = x + 1000
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Angelina has 5 cakes. She wants to cut them into 2/5 pieces. How many pieces will she be able to cut? Answer without units.
Answer:12.5 pieces
Step-by-step explanation:2/5 as a decimal is .4.
5/.4=12.5
If you put $15 a month in a CD for your new niece that will be born in 9 months, how much will she have when she is born?
Answer: 15 x 9 = 135
A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for every cup of flour?
A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for every cup of flour?
2/5 = 0.4
so there is 0.4 cups of sugar used for every one cup of flour.
which two angles have the same measure?
Answer:
1 and c or 3 I´m not sure what the third angle labeled is
Step-by-step explanation:
The reason why is because they are corresponding angles which makes them equal to each other.
Hope this helped
suppose 150 returns from this year are selected and analyzed regarding the preparation time. what is the probability that the mean time for the sample of 150 returns for this year is greater than 92?
The probability that the mean time for the sample of 150 returns for this year is greater than 92 is 0.04006.
In the given question,
The mean time to prepare a return is 90 minutes. So μ = 90.
The population standard deviation of this distribution is 14 minutes. So σ=14.
150 returns from this year are selected and analyzed regarding the preparation time. So n = 150.
Then we have to find the probability that the mean time for the sample of 150 returns for this year is greater than 92.
μx = μ = 90
σx = σ/√n = 14 /√150 = 1.14
P (x>92 ) = 1-P(x<92)
= 1 - P[z < (x-μx)/σx]
= 1 - P[z < (92-90)/1.14}
= 1 - P ( z < 1.754)
Using standard normal table
= 1 - 0.95994
= 0.04006
Probability = 0.04006
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The right question is:
Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers has maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes, and the population standard deviation of this distribution is 14 minutes. Suppose 150 returns from this year are selected and analyzed regarding the preparation time. What is the probability that the mean time for the sample of 150 returns for this year is greater than 92?
what answer to 3x19x14+18÷2
Answer:
Step-by-step explanation:
807
Answer:
408
Step-by-step explanation:
3 x 19 = 57
x 14 = 798
+ 18 = 816
divided by 2 = 408
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. 9
Step-by-step explanation:
here you go
this is what my teacher gave me...
please mark brainliest...
A group of students was recently polled about the technology they own. Create a vent diagram from the information below
69 own cell phone
45 own a computer
23 own an iPod
4 do not own any of the above three items
34. Own all three, a computer, an iPod , and an cell phone
8 own a cell phone and an iPod but not a computer. How many students were polled?
As per the given data about the group of student, total number of students polled about the technology they own is equal to 99.
As given in the question,
Let 'n(U)' represents the total number of students polled about the technology they own.
Number of students own cell phone = 69
Number of students own a computer = 45
Number of students own a iPod = 23
Number of students own nothing of the above items = 4
Number of students own all three items = 34
Number of students own a cell phone and an iPod but not computer = 8
Total number of students polled
= 69 + 45 + 23 + 4 + 34 - 8
= 99
Therefore, for the given data about the group of student, total number of students polled about the technology they own is equal to 99.
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I need this for tomorrow please help
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=29\\ \theta = 99 \end{cases}\implies A=\cfrac{(99)\pi (29)^2}{360} \\\\\\ A=\cfrac{9251\pi }{40}\implies A\approx 726.57~cm^2[/tex]
