The height of the rectangular pyramid tent's center pole = 5.5 feet.
What is the Volume of a Rectangular Pyramid?Volume of rectangular pyramid = 1/3(length)(width)(height).
Given the following:
Volume of the rectangular pyramid tent = 88 cubic feetLength = 8 feetWidth = 6 feetHeight = ?Substitute
88 = 1/3(8)(6)(height)
88 = 16(height)
88/16 = height
5.5 = height
Therefore, the height of the rectangular pyramid tent's center pole = 5.5 feet.
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What is the value of BC.
Answer:
BC = 13
Step-by-step explanation:
x + 10 + x + 14 = 22
2x + 24 = 22
2x = -2
x = -1
BC = x + 14 = -1 + 14 = 13
Suppose a meteorologist is tracking rainfall patterns in Mickton, Florida. Select all true statements.
Mickton had more rainy days in June 2012 than November 2012, December 2012, and January 2012 combined.
There was only one month with more rainy days in 2013 than 2012.
Mickton had more rainy days in July than in January, November, and December combined in 2012 and 2013.
There were 13 rainy days in February 2013.
The month with the greatest difference in the number of rainy days between 2012 and 2013 was December.
The correct statements regarding the given bar graph are as follows:
Mickton had more rainy days in July than in January, November, and December combined in 2012 and 2013.There were 13 rainy days in February 2013.The month with the greatest difference in the number of rainy days between 2012 and 2013 was December.What does a bar graph show?A bar graph shows the number of times that each observation appears in the data-set.
The first correct statement is:
Mickton had more rainy days in July than in January, November, and December combined in 2012 and 2013.
As:
30 + 29 > 8 + 5 + 11 + 7 + 10 + 4
The second correct statement is:
There were 13 rainy days in February 2013.
Due to the blue bar in Feb.
The third correct statement is:
The month with the greatest difference in the number of rainy days between 2012 and 2013 was December.
Difference of 10 - 4 = 6 days, which is the biggest.
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frames covered with shade cloth), (2) control (pvc frames only), and (3) warmer (pvc frames covered with plastic). one of the article’s authors kindly supplied the accompanying data on the d
(1) Frames covered with shade cloth mean = 1.71 and standard deviation = 0.401
(2) control pvc frames only mean = 19.26 and standard deviation = 0.536
(3) warmer (pvc frames covered with plastic) mean = 2.08 and standard deviation = 0.774.
(1) Using the cooler mean and SD:
The calculations are shown in the table below:
[tex]\begin{array}{lll} & \mathrm{X} & (\mathrm{X} \text {-mean })^{2} \\& 1.59 & 0.0144 \\& 1.43 & 0.0784 \\& 1.88 & 0.0289 \\& 1.26 & 0.2025 \\& 1.91 & 0.04 \\& 1.86 & 0.0225 \\& 1.9 & 0.0361 \\& 1.57 & 0.0196 \\& 1.79 & 0.0064 \\& 1.72 & 0.0001 \\& 2.41 & 0.49 \\& 2.34 & 0.3969 \\& 0.83 & 0.7744 \\& 1.34 & 0.1369 \\& 1.76 & 0.0025 \\\text { Total } & 25.59 & 2.2496\end{array}[/tex]
Sample size
[tex]$$n=15$$[/tex]
Sample sum:
[tex]$$\sum x=25.59$$[/tex]
Sample mean:
[tex]$$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=25.59 / 15 \\&=1.71\end{aligned}$$[/tex]
Sample standard deviation:
[tex]\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.2496 /(15-1)) \\&=0.401\end{aligned}[/tex]
(2) Using the control mean and SD:
The calculations are shown in the table below:
[tex]\begin{array}{lll} & \mathrm{X} & (\mathrm{X}-\text { mean })^{2} \\& 1.92 & 0.0289 \\& 2 & 0.0625 \\& 2.19 & 0.1936 \\& 1.12 & 0.3969 \\& 1.78 & 0.0009 \\& 1.84 & 0.0081 \\& 2.45 & 0.49 \\& 2.03 & 0.0784 \\& 1.52 & 0.0529 \\& 0.51 & 1.5376 \\& 1.9 & 0.0225 \\\text { Total } & 19.26 & 2.8723\end{array}[/tex]
Sample size:
[tex]$$n=11$$[/tex]
Sample sum:
[tex]$$\sum x=19.26$$[/tex]
Sample mean:
[tex]\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.8723 /(11-1)) \\&=0.536\end{aligned}[/tex]
(3) Assuming a warmer mean and SD:
The calculations are shown in the table below:
[tex]$\begin{array}{lll} & \mathrm{X} & (\text { X-mean })^{2} \\ & 2.57 & 0.3969 \\ & 2.6 & 0.4356 \\ & 1.93 & 0.0001 \\ & 1.58 & 0.1296 \\ & 2.3 & 0.1296 \\ & 0.84 & 1.21 \\ & 2.65 & 0.5041 \\ & 0.14 & 3.24 \\ & 2.74 & 0.64 \\ & 2.53 & 0.3481 \\ & 2.13 & 0.0361 \\ & 2.86 & 0.8464 \\ & 2.31 & 0.1369 \\ & 1.91 & 0.0009 \\ \text { Total } & 29.09 & 8.0543\end{array}$[/tex]
Sample size:
[tex]$n=14$[/tex]
Sample sum:
[tex]$$\sum x=29.09$$[/tex]
Sample mean:
[tex]$$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=29.09 / 14 \\&=2.08\end{aligned}$$[/tex]
Sample standard deviation:
[tex]s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(7.7883 /(14-1)) \\&[/tex]
[tex]=0.774[/tex]
Hence, these are the different samples of mean and standard deviation.
What does "standard deviation" mean?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
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|||
=
Knowledge Check
In the figure below, j Il n. Find the values of y and z.
شکر
60°
y4z-20)
Question 5
A
11
Z =
0
Answer:
y=120
z=20
Step-by-step explanation:
angle below y is 60° because of corresponding angles
y=180-60=120
y+(4z-20)=180(angles in a straight line)
120+4z-20=180
100+4z=180
4z=180-100
4z=80
z=80/4
z=20°
Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and.
Review Andrew’s work, identify the error and correct all work from that point forward that is affected by this error. Include at least one sentence explaining his error. Use proper mathematical vocabulary, appropriately.
The supplied roots' polynomial equation is x³-7x²+20x-24=0.
A polynomial equation is defined as:A polynomial equation is one in which a polynomial is set to zero. It is an equation composed of variables, non-negative integer exponents, and coefficients, as well as operations and an equal sign. It has various exponents. The highest one represents the equation's degree. To be a polynomial equation, the variable in the equation must contain only non-negative integer exponents. Specifically, variable exponents should be non-negative and neither negative nor fractional.
According to the given data:Given that, solution polynomial equation of the least degree has roots of 3, 2+2i, and 2-2i.
Now, x=3, x=2+2i and x=2-2i
x-3, x-2-2i and x-2+2i
So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0
=(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0
=(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0
=(x-3)(x²-2x-2x+4-4i²)=0
=(x-3)(x²-4x+4+4)=0 (∵i²=-1)
=(x-3)(x²-4x+8)=0
=x(x²-4x+8)-3(x²-4x+8)=0
=x³-4x²+8x-3x²+12x-24=0
= x³-7x²+20x-24=0
The supplied roots' polynomial equation is x³-7x²+20x-24=0.
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Malia and some of her friends are going rock climbing this weekend. In preparation, Malia purchased 8 sports drinks to bring, including 6 peach flavored drinks.
If Malia randomly chooses to place 4 drinks in the red cooler, what is the probability that all of them are peach flavored?
Write your answer as a decimal rounded to four decimal places.
Based on the fact that there are 8 sports drinks and 6 peach flavored drinks, the probability that all 4 drinks picked by Malia would be peach flavored is 0.2143.
What is the probability?The probability that all 4 drinks will be peach flavored can be found as:
= Probability of first drink being peach x Probability of second drink being peach + Probability of third drink being peach + Probability of fourth drink being peach
The probability of the drinks being peach flavored is:
= 6/8 x 5/7 x 4/6 x 3/5
= 0.2143
In conclusion, the probability that all the drinks are peach flavored is 0.2143.
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PLease Solve I will give 15 points its all i have
Answer:
qw1
Step-by-step explanation:
What is the equation of the line?
y = 3/4 x + 1
y = 4/3 x − 1
y = 4/3 x + 1
y=3/4x−1
Answer: 15
Step-by-step explanation:
sa finished 30% of his homework in 27 minutes. How many more minutes will it take Isa to complete his homework, assuming that he works at the same pace?
A. 63 minutes
B. 67 minutes
C. 70 minutes
D. 90 minutes
Answer:D
Step-by-step explanation:
Who were the aggressors in the war that is discussed in Zlata’s Diary? Bosnian Muslims Bosnian Croats Bosnian Serbs
Answer: The answer is the third option. Bosnian Serbs were the aggressors in the war that is discussed in Zlata’s Diary. This diary is a book by Zlata Filipović. It was written from 1991 to 1993 during the Bosnian war.
Step-by-step explanation: hope this helps!!!!
Calculate (2.5 × 106) + (7 × 105)
Give your answer in standard form.
Answer:
hdshsjjkksjsjskskwiisiw
Given the rule what is the new coordinate?
the image (new coordinate) after the translation is (-2.5, 9.8)
How to find the new coordinate by using the given rule?
Here we have a rule (also called a transformation or an operator) that works as:
T(x, y) = (x - 7.5, y + 6.8)
So we decrease the x-value by 7.5 and increase the y-value by 6.8. This is a translation of 7.5 units to the left and 6.8 units upwards.
Now, our point is (5, 3), if we apply that transformation we will get:
T(5, 3) = (5 - 7.5, 3 + 6.8) = (-2.5, 9.8)
That is the image after the translation.
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Pls help me with both of these
The algebraic expression for the phrase "the quotient of y and 6" is y / 6
The difference of -3 - 4 is -7.
How to solve algebraic expression?The algebraic expression of the following phrase "the quotient of y and 6" is as follows:
Quotient is a quantity produced by the division of two numbers.
Therefore, the algebraic expression for the phrase "the quotient of y and 6" is y / 6
The difference of -3 - 4 can be calculated as follows:
The difference of -3 - 4 is -7.
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Please answer this question for me. Urgent.
Using a system of equations, the expression, in terms of x, for the total number of students at the college is:
T = 11x.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem
For this problem, considering the Venn diagram, we have that:
A + x students play the Piano.B + x students play the Guitar.Thus the total number of students in the college is given by:
T = A + B + x.
1/2 of the students who learn the piano also learn the guitar, hence:
A = x.
Thus the number of students who play the piano is:
A + x = x + x = 2x.
5 times as many students learn the guitar as learn the piano, hence:
B + x = 5(2x)
B + x = 10x
B = 9x.
Hence:
T = A + B + x
T = x + 9x + x
T = 11x.
The expression, in terms of x, for the total number of students at the college is:
T = 11x.
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If the ladder slipped so that the foot was 2 m from the wall, how far down the wall did the ladder slip?
Answer:
e foot
Step-by-step explanation:
Answer:
How far down the wall did
the ladder
Step-by-step explanation:
Which of the following is a false statement?
A
Banks are insured by the government.
B
Money can be stolen or lost if you keep it at home.
C
If your bank goes out of business, you lose your money.
D
Your money can grow if you keep it in a bank account.
C ) If your bank goes out of business, you lose your money is a false statement .
Since banks are insured by FDIC . So if a bank becomes dissolves or becomes bankrupt FDIC covers the loss of customers of bank upto a certain limit .
A ) Banks are insured by the government.
This is a true statement .
B ) Money can be stolen or lost if you keep it at home . Even this is a true statement .
D ) Your money can grow if you keep it in a bank account . This is also a true statement .
Hence , C ) If your bank goes out of business, you lose your money is a false statement .
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8 + 3 4 ÷ -2 3 = what?
-10
By BODMAS Method
8 + 3*4 ÷ -2*3
8 + 3* [tex]\frac{4}{-2}[/tex] *3
8 + 3*-2*3
8 +(-18)
-10
The order of operations (BODMAS) in mathematics and computer programming refers to a set of rules that represent standards for which operations to carry out first in order to evaluate a specific mathematical expression.
For instance, since the advent of contemporary algebraic notation, multiplication has been given a higher priority than addition in mathematics and most computer languages.
As a result, 1 + (2 × 3) = 7, rather than (1 + 2) × 3 = 9. is the value assigned to the expression 1 + 2 × 3. BODMAS was first used in the 16th and 17th centuries when addition and multiplication were given priority. BODMAS could only is used as a superscript to the right of their base.
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HELP URGENT!! the data set for a random sample of 10 soccer players heights compared to their shoe sizes is summarized in the table.
questions included in the photo.
Part A: The equation of least squares regression line is
ŷ = 0.4684X + 64.69888
Part B: The residual that we have here is - 1.382
Part C: Residual refers to the difference between the observed value and the predicted value
How to solve for the residualSum of X = 102.5
Sum of Y = 695
Mean X = 10.25
Mean Y = 69.5
Sum of squares (SSX) = 33.625
Sum of products (SP) = 15.75
Regression Equation = ŷ = bX + a
b = SP/SSX = 15.75/33.63 = 0.4684
a = MY - bMX = 69.5 - (0.47*10.25) = 64.69888
ŷ = 0.4684X + 64.69888
Residual = observed - predicted
The observed = 68
The predicted = 0.4684 x 10 + 64.69888
= 4.684 + 64.69888
= 69.382
residual = 68 - 69.382
= -1.38
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can someone help me really quick
Answer:
ain't no way you need help my bou
Select two ratios that are equivalent to 5 :2
Answer:
35:14
Step-by-step explanation:
On calculator 5/2 =2.5
Try this choice to get the same percentage
Answer:
B = 10 : 4 & D = 35 : 14
Step-by-step explanation:
Hope this helps :)
6. The genetic information of almost
every living thing is stored in a tiny
strand called DNA. Human DNA is
3.4 x 10-8 meter long.
a. Write the length in standard form.
b. How many significant
digits are there in the
measurement?
The la
The length of DNA in Scientific notation (standard form) = 34[tex]e^{-8}[/tex] meters
Also, the significant figure in the measurement = 1
In this question, we have been given the length of human DNA.
The genetic information of almost every living thing is stored in a tiny strand called DNA.
Human DNA is 3.4 x 10-8 meter long.
We need to write the length in standard form.
3.4 x 10-8 meter
= 3.4 x 10 ^ (-8)
= 3.4 x 0.00000001
= 0.000000034
= 0.00000003
Here Significant Figures = 1
Decimals = 8
And the length in Scientific Notation = 34[tex]e^{-8}[/tex] meters
Therefore, the length of DNA in Scientific notation (standard form) = 34[tex]e^{-8}[/tex] meters
Also, the significant figure in the measurement = 1
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How do i solve this equation
3x^2+56x-7
Answer:
that is the answer
you cant simplify the equation further
3x ^ 2 + 56x - 7 is the answer
Step-by-step explanation:
HELLO i’ll give BRAINLIEST TO THE PERSON WHO ANSWERS!!!
From the numeric value of the formula, the tuition and fees for the school year ending in 2010 was of $26,270.
How to find the numeric value of a function?The numeric value of a function is found replacing each instance of x by the value that we want to find.
For this problem, the cost function is given by:
T(x) = 26x² + 806x + 15610.
In which x is the number of years after 2000.
Hence the cost in 2010 will be given by:
T(10) = 26(10)² + 806(10) + 15610 = $26,270.
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Find the y intercept slope and equation
picture below
without further Ado, let's pick two points off the table, check the picture below, and let's roll on.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-3}{2 +1} \implies \cfrac{ -3 }{ 3 }\implies -1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-1)}) \implies y -3= -1 (x +1) \\\\\\ y-3=-x-1\implies {\LARGE \begin{array}{llll} y = -x+2 \end{array}} \qquad \impliedby \stackrel{y-intercept}{(0~~,~~2)}[/tex]
Solve for b.
2²376.
b+5=20-b
b=
Answer: b=7.5
Step-by-step explanation:
b+5=20-b
b+b+5=20-b+b ==> add b on both sides to put b on only one side of the equation
2b+5=20
2b=15
b=7.5
solve following expressiong when
k = 12
answer right for 5 star and brainliest
(4k+2) divided by 10
Answer:
5
Step-by-step explanation:
Given expression:
(4k + 2) ÷ 10when k = 12
substituting k = 12 in equation
⇒ (4(12) + 2) ÷ 10
⇒ (48 + 2) ÷ 10
⇒ 50 ÷ 10
⇒ 5
The end points of ab are A (-7,3) and B (1,0) find the coordinates of the midpoint M
Answer:
(-3,3/2)
Step-by-step explanation:
It's easy just add the abscissa and ordinate individually and divide the obtained abscissa and ordinate by 2
which surveys illustrate an example of qualitative data? check all that apply.the time, in minutes, it took students to finish their examsthe eye color of students involved in after-school activitiesthe characteristics of different types of birdsthe scores on the last examthe weights of different books
The following illustrate the examples of Qualitative data: (1) the eye color of children participating in after-school activities and (2) the traits of various bird species.
What is Qualitative data?Data that cannot be quantified or expressed in numbers are referred to as qualitative data.
Now,
(1) The time, in minutes, it took students to finish their exams: It is quantifiable data since the number of minutes it took pupils to complete their tests can be measured.
(2) The eye color of students involved in after-school activities: Since the eye color of students participating in after-school activities cannot be quantified, the information is qualitative.
(3) The characteristics of different types of birds: The characteristics of many bird species can never be quantified quantitatively; therefore, the information is qualitative.
(4) The scores on the last exam: It is quantitative data since the results of the last exam may be quantified and expressed in numbers.
(5) The weights of different books: It is quantifiable data because it is possible to measure the weights of various books.
Hence, the eye color of children participating in after-school activities and the traits of various bird species are examples of qualitative data.
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i dont now how to do this
Answer:if they choose the family tickets its 15% off the regular ticketts individually
Step-by-step explanation:
Find the distance from point X to line p.
The distance from point X to line p is 2√17 units.
We are given the point X as:
X = ( - 2 , 5 )
We need to find the distance of X from the line p.
We will do this by using the distance formula:
Distance = √ (y₂ - y₁)² + (x₂ - x₁)²
Distance = √ (- 2 - 0) ² - (5 - ( - 3)) ²
= √ ( - 2) ² - (5 + 3) ²
= √ ( - 2) ² - (8) ²
= √ 4 + 64
= √ 68
= 2 √17 units
Therefore, the distance from point X to line p is 2√17 units.
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Your question was incomplete. Please find the content below:
Find the distance from point X to line p. An image of a point X, a line p, and three segments joining the point and the line. Question 12 options:
A. 2 √34 units
B. √85 units
C. 2 √17 units
D. √17 units