The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex]population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex] = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
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Sharon and Paul gave a 15% tip after having their hair cut. The amount of the tip was $6. Sharon's
haircut cost $25. Write and solve an equation to find x, the cost of Paul's haircut?
Answer: 31
Step-by-step explanation:
25+6 which equals the answer 31!
What is the radical form of 32x 1/6 ?
Step-by-step explanation:
Given:
32^(1/6)
To Find:
Convert to Radical form 32^(1/6)?
Solution:
here, given that- 321/6
Since, we know that - If n is a positive integer
that x and a is a real number or a factor, then
an = Vu?
=
now, using this rule to convert 321/6 to a radical,
where a=32, x=1 and n=6
√32
Hence,
Exact form:
32
Decimal Form:
2
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu
Hope this helps Youuuuuuuu
In creating a new scale for the mercury thermometer, anders celsius initially set the boiling point of water at _____. a. 0° b. 32° c. 100° d. 273°
Answer: 100 °
Step-by-step explanation:
Which one should I choose
Answer:
b) Quad ABCD must be a rectangle and could be a rhombus
Step-by-step explanation:
:)
find the volume of the cubes or rectangular prisms in cubic centimeters.36/125 cm 3 6/125 cm 3 8/125 cm 3 1/125 cm 3cube with a side length of cmrectangular prism with a length,width, and height of cm, cm,and cm, respectivelycube with a side length of cmrectangular prism with a length,width, and height of cm, cm,and cm, respectively
Applying the formula for volume of a rectangular prism and volume of a cube, we would have:
a. 6/125 cm³
b. 8/125 cm³
c. 1/125 cm³
d. 36/125 cm³
What is the Volume of a Rectangular Prism and a Cube?Volume of rectangular prism = length × width × height.Volume of cube = (side length)³a. Volume of rectangular prism = length × width × height = (1/5) × (2/5) × (3/5)
Volume of rectangular prism = 6/125 cm³
b. Volume of cube = (side length)³ = (2/5)³
Volume of cube = 8/125 cm³
c. Volume of cube = (side length)³ = (1/5)³
Volume of cube = 1/125 cm³
d. Volume of rectangular prism = length × width × height = (3/5) × (4/5) × (3/5)
Volume of rectangular prism = 36/125 cm³
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Question:
A room is half as long again as it is board. The cost of carpeting the room at Rs. 3.25 per m² is Rs 175.50 and the cost of papering the walls at Rs 1.40 per m² is Rs 240.80. If 1 door and 2 windows occupy 8 m² , find the dimensions of the room.
[tex] \rule{200pt}{5pt}[/tex]
Don't Spam ❎
Given A room is half as long again as it is broad
Let the breadth of the room x m
length of the room x + x/2 = 3x/2m
Area of the room , x × 3x/2 = 3x²/2m
Given , cost of carpeting the room at Rs. 3.25m⁻²
So , total cost , 3x²/2 × 3.25
But , Total cost of carpeting is given as 175.50 so ,
(3x²/2 )× 3.25 = 175.50 x² = 175.50 × 2 / 3.25 × 3 x² = 36 x = 6 Breadth x = 6 mlength 3x/2 = 9mlet the height of the room H m
Area of the four wall = 2(L+ b)× h 2(6+9)× H
= 30H m²
Area of the of the one door and two window is 8m²
8m² Area to be prepared = Area of four wall - area of two window and 1 door = (30H - 8) m²
Given cost of preparing wall is Rs. 1.40m²
total cost of preparing wall is (30H - 8) × 1.40
Total cost of preparing wall is given as 240.80
comparing , (30H - 8 ) × 1.40 = 240.80
(30H - 8 ) = 240.80 /1.40 = 172 30H -. 8 = 172 30H = 180 H = 180/30 = 6Hence, Dimensions of the room are lengths 9m , breadth 6m and height 6m
In a school there are 1970 pupils. If there are 799 boys, how many more girls are there than boys?
As per linear equation, there are 372 more girls in school than boys.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant."
Given, there are 1970 pupils.
There are 799 boys in the school.
Therefore, the number of girls in the school is
[tex]= (1970-799)\\= 1171[/tex]
Therefore, the number of girls more than boys in the school is
[tex]= (1171-799)\\= 372[/tex]
In that school , there are 372 more girls than total number of the boys.
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An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
Pls help i will give 5 starts and brainliest question is down below 9:22
Answer:
r, p, q
Step-by-step explanation:
Answer:
#30 is 8.40 B)
#31 is R P Q A)
Step-by-step explanation:
HURRY PLEASE , I WILL GIVE BRAINLIEST FOR CORRECT ANWSER
Answer:
B.
Step-by-step explanation:
1) the given equation is provided in slope-interception form, then
2) the interseption is '-3', it means the point (0;-3) - the correct answer is either B or C;
3) the slope of the given line is more that 1 (3/2>1), it means the angle is [45°;90°], then the line of the answer B is satisfies this condition.*
4) finally, the correct answer is B.
* - if to substitute the point (2;0) then it will be true equality 0=0.
The charge of an atom is the sum of the charges of its protons, neutrons, and electrons.
• Each proton has a charge of e.
• Each neutron has a charge of 0.
Each electron has a charge of -e.
An atom consists of 6 protons, 10 neutrons, and 4 electrons.
How many electrons would need to be added to make the charge of the atom 0?
Answer:
2 electrons
Step-by-step explanation:
2 electrons is the answer
If u need explanation do mention in comments
Answer:
*2 electrons more*
Explanation:
In an atom the number of electron and protons must be same.Otherwise, it will have charge and form ions. [ ignore the neutrons ]
Here,
protons: 6electrons: 4The electron and proton is unbalanced, In order to make them same.
2 more electrons need to be added to make total 6 electrons.
the length of a rectangle is 3 meters more than twice its width what is the width of the rectangle if the area is 9 m^2. pls help. solve by using applications of quadratics
Step-by-step explanation:
answer is shown above, that is a tricky question though.
Jack drives to his grandmother’s house at a constant rate of 65 miles per hour. If he can get to her house in 2 hours, how far does he live from his grandmother?
O:63
O:67
O:130
O:195
Answer:
130
Step-by-step explanation:
just multiply 65 by 2 and you get 130
The perimeter of the figure below is 84.6 ft. Find the length of the missing side.
Answer:
7.3 ft.
Step-by-step explanation:
The perimeter of a geometrical figure is calculated by adding all side lengths up:
The perimeter of the figure in question is 84.6 ft.
2*(3.4) + 2*(11.3) + 6*(6.8) + (7.1) + ? = 84.6 (it's easier if we write equal terms in multiplying form)
77,3 + ? = 84.6 subtract 77.3 from both sides
? = 7.3 is the length of the missing side
What is the variable in the following expression: 7x + 8
A. 7
B. X
C. 8
Answer:
B. X
Step-by-step explanation:
The variable is the unknown term.
This is represented by a letter.
In this case, the variable is "x".
So the answer is B.
Anja collected data about the number of dogs 9th-grade students own. she created this histogram to represent the data and determined that it is skewed right. a graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12. which statement is true about anja’s claim? she is incorrect; the histogram is skewed to the left because more data is on the left side. she is incorrect; the histogram is skewed to the left because there is more data on the right side. she is incorrect; the histogram is symmetrical because the right side is equal to the left side. she is correct; the histogram is skewed to the right because there is less data on the right side.
As the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
What is a histogram graph?A histogram graph is a graphical representation of given data. It is a bar graph that represents a frequency distribution by rectangles separated from each other with equal spaces.
A graph shows several dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis.
here, we can see from a given data that as the number of dogs increases the frequency on the vertical axis decreases. At 0 dogs the frequency is 20, at 1 dog the frequency is 15, At 2 dogs the frequency is 12.
The histogram is skewed to the right because there is less data on the right side as the frequency decreases.
Therefore, the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
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Answer:
d
Step-by-step explanation:
Here, angles A is 23 degrees. What can we say about other angles B and C…. Help please
Answer:
Both are 157 degrees
Step-by-step explanation:
A and B form a linear pair, meaning together they should create 180 degrees. 180 - 23 = 157. Since B and C are vertical angles, they must both be the same. A vertical angle is when two angles are on opposite sides.
Answer:
Step-by-step explanation:
Linear pair: Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.
a +b = 180 {Linear pair}
23 + b = 180
b = 180 - 23
b = 157°
c = b {Vertically opposite angles are congruent}
c = 157°
Which of the following quadratics will have a maximum value at x = 3?
(1) y = x² - 6x +19
(3) y=-2x² + 20x - 49
(2) y=-4x² +24x-21
(4) y = 2x² – 3x+7
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{y = x^2 - 6x + 19}\\\mathsf{y = 6^2 - 6(3) + 19}\\\mathsf{y = 36 - 18 + 19}\\\mathsf{y = 18 + 19}\\\mathsf{y = 37}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -2x^2 + 20x - 49}\\\mathsf{y = -2(3)^2 + 20(3) - 49}\\\mathsf{y = -2(9) + 60 - 49}\\\mathsf{y = -18 + 60 - 49}\\\mathsf{y = 42 - 49}\\\mathsf{y = -7}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -4x^2 + 24x - 21}\\\mathsf{y = -4(3)^2 + 24(3) - 21}\\\mathsf{y = -4(9) + 72 - 21}\\\mathsf{y = -36 + 72 - 21}\\\mathsf{y = 36 - 21}\\\mathsf{y = 15}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = 2x^2 - 3x + 7}\\\mathsf{y = 2(3)^2 - 3(3) + 7}\\\mathsf{y = 2(9) - 9 + 7}\\\mathsf{y = 18 - 9 + 7}\\\mathsf{y = 9 + 7}\\\mathsf{y = 16}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PLEASE HELP!!!!!!!!
How do I write these in Slope y-intercept form example: y=1/2x-5
7) 2x - y = 3
8) 2x+4y = 8
9) 3x-5y=10
10) 3x-1/2y=2
Answer:
The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4
Step-by-step explanation:
A quality control manager at a tortilla company wants to estimate the mean diameter of the tortillas
produced by a certain machine. The manager is deciding between a 90% confidence level and a 95%
confidence level. Compared to a 90% confidence interval, a 95% confidence interval will be,,
a. Narrower and the margin of error would increase
b. Wider and the margin of error would increase
c. Narrower and the margin of error would decrease
d. Wider and the margin of error would decrease
Answer:
C. Narrower and the margin of error would decrease
The required, option b (wider and the margin of error would increase) is the correct answer.
What is the margin of error?In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.
Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.
This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.
Therefore, option b (wider and the margin of error would increase) is the correct answer.
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What's the difference between 2/8 and 5/8?
Answer:
-3/8
Step-by-step explanation:
5/6-(2/3-4/9)= (5/6-2/3)-4 is this equal
This equation is False.
5/6-(2/3-4/9) = 11/18
(5/6-2/3)-4 = -23/6
Showing two different answers, so no they are not equal.
Answer please!!!
Best answer gets brainliest!!!
Answer:
B. 6
Step-by-step explanation:
So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6
ab" that goes through points (0,9)
Write an exponential function in the form y
and (10,9216).
[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{9})\qquad \implies 9=ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ (\stackrel{x}{10}~~,~~\stackrel{y}{9216})\qquad \implies 9216 = 9b^{10}\implies \cfrac{9216}{9}=b^{10}\implies 1024=b^{10} \\\\\\ \sqrt[10]{1024}=b\implies 2=b~\hfill \underline{y=9(2)^x}[/tex]
The Exponential function is [tex]y = 9(2^{x} )[/tex]
What is Exponential function?The mathematical expression for an exponential function is f (x) = aˣ where “x” denotes a variable and “a” denotes a constant that is the base of the function and ought to be greater than 0. The most regularly utilized remarkable capability base is the supernatural number e, which is roughly equivalent to 2.71828.
Given function
y = abˣ
and coordinates (0, 9) and (10, 9216)
when x = 0, y = 9
[tex]y = ab^{x}[/tex]
substitute values
9 = ab⁰
9 = a
and [tex]y = ab^{x}[/tex]
when x= 10 and y = 9216
9216 = 9(b)¹⁰
1024 = b¹⁰
[tex]\sqrt[10]{1024}[/tex] = b
b = 2
[tex]y = 9(2^{x} )[/tex]
Hence equation is [tex]y = 9(2^{x} )[/tex].
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Graph the line with the equation y=1/2x+5
Here it is
.,.,.,.,..,.,.,.
Write the following as an inequality.
8 is greater than or equal to w, and w is greater than 4 use w only once in your inequality
Answer:
8 ≥ w > 4
Step-by-step explanation:
This says the w is greater or equal to 8 but it also says that w is greater than 4.
Answer:
8 ≥ w > 4
Step-by-step explanation:
Because 8 is greater than or equal to w, and w is greater than 4.
Is 5.23 * 10 the 8th power in scientific notation?
Answer:
yes
Step-by-step explanation:
anything with 10^n multiplied by a number from 0 to 10 is
Erik rides his motorbike 26/23 miles in 23 hour. What is Erik’s average speed in miles per hour?
Answer:
Average speed = 40 mph.
Step-by-step explanation:
Use the data below.
22, 16, 18, 14, 16, 34, 20
Mean:
Median:
Mode:
Range:
Step-by-step explanation:
mean = sum of all data points / number of data points
(22+16+18+14+16+34+20)/7 = 140/7 = 20
median is the number, where half of the data points are smaller, and the other half are larger.
first we need to sort the data points
14, 16, 16, 18, 20, 22, 34
median = 18
mode is the data point occurring most often.
mode = 16 (occurring 2 times, while the others occur only once).
range is the difference between the largest and the smallest data point.
range = 34 - 14 = 20