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skill issue hahahahahhaahahhahaha
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Please help me solve this using six grade math (easy formulas)
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We will break the surface area of the tent up into its sides, the front and the back and the bottom.
Area of the sides: 2(5*7) = 70
Area of the front and the back: 2( 1/2 (6*4)) = 24
Area of the bottom: 7*6 = 42
Least amount of fabric required = 136ft
Multiplying Polynomials 5y[tex] ({5y}^{2} + y + 3)(x - 2)[/tex]
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Let's distribute those factors, and expand this:
[tex]\begin{gathered} (5y^2+y+3)\mleft(x-2\mright) \\ 5xy^2-10y^2+xy-2y+3x-6 \\ \end{gathered}[/tex]There's no further way beyond that. Either we pick the factored form or the expanded version of that polynomial. As this is not an equation we stop it here.
When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 953 peas, with 746 of them having red flowers. If we assume, as the scientist did,
that under these circumstances, there is a 3 / 4 probability that a pea will have a red flower, we would expect that 714.75 (or about 715) of the peas would have red flowers, so the result
of 746 peas with red flowers is more than expected.
a. If the scientist's assumed probability is correct, find the probability of getting 746 or more peas with red flowers.
b. Is 746 peas with red flowers significantly high?
c. What do these results suggest about the scientist's assumption that 3 / 4 of peas will have red flowers?
a. If the scientist's assumed probability is correct, the probability of getting 746 or more peas with red flowers is
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a. 74.99% probability of getting 746 or more peas with red flowers.
b. Since Z < 2, 746 peas with red flowers is not significantly high.
c. Since 746 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.
Given,
953 peas in sample with 746 of them having red flower
Scientist's assumption;
Since there is a 3/4 chance that a pea will have a red blossom, we would anticipate 714.75 (or roughly 715) of the peas to do so; hence, the finding of 746 peas with red flowers is higher than we had anticipated.
Here,
Binomial distribution:
Probability of x successes on n trials, with p probability.
Normal distribution:
In a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is given by:
Z = (X - μ) / σ
If np ≥ 10 and n (1 - p) ≥ 10 , the binomial distribution can be approximated to the normal with:
μ = np
σ = [tex]\sqrt{np(1-p)}[/tex]
Here,
n = 953 and p = 3/4 = 0.75
Lets see,
μ = np = 953 x 0.75 = 714.75
σ = [tex]\sqrt{np(1-p)}[/tex] = [tex]\sqrt{714.75 . (1 - 0.75)}[/tex] = √714.5 = 26.73
a. The probability of getting 746 or more peas with red flowers.
Using continuity correction, this probability is P(X ≥ 746 - 0.5) = P(X ≥ 745.5) , which is 1 subtracted by the p-value of Z when X = 745.5.
Then:
Z = (X - μ) / σ = (745.5 - 714.75) / 26.73 = 30.75 / 26.73 = 1.150
The p value of z score 1.150 is 0.2501
1 -0.2501 = 0.7499
0.7499 = 74.99% probability of getting 746 or more peas with red flowers.
b. Is 746 red-flowering peas noticeably high
Since Z < 2, 746 peas with red flowers is not significantly high.
c. What do these findings say about the researcher's prediction that 3/4 pea plants will have red flowers?
Since 746 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.
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Evaluate 4w - 3y if w = 7 and y = 6
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Answer:
10
Explanation:
Given the expression:
[tex]4w-3y[/tex]If w=7 and y=6
[tex]\begin{gathered} 4w-3y=4(7)-3(6) \\ =28-18 \\ =10 \end{gathered}[/tex]The value of the expression is 10.
Use the triangle to answer the question.Find the sine of angle Y.
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In a right triangle, given an angle, the ratio between the opposite side of this angle by the hypotenuse is equal to the sine of the angle. Using this relation in our triangle, we have
[tex]\sin Y=\frac{6}{10}=\frac{3}{5}[/tex]Kacie is constructing the inscribed circle for △MNP. She constructed the angle bisectors of angle M and angle N and labeled the intersection of the bisectors as point A.Which construction is a correct next step for Kacie?Open the compass to the width of AM¯¯¯¯¯¯ and draw a circle centered at point A.Open the compass to the width of , A M ¯ , and draw a circle centered at point , A, .Construct the perpendicular bisector of AM¯¯¯¯¯¯ .Construct the perpendicular bisector of , A M ¯ , .Open the compass to the width of AP¯¯¯¯¯ and draw a circle centered at point A.Open the compass to the width of , A P ¯ , and draw a circle centered at point , A, .Construct the line that passes through point A and is perpendicular to NP¯¯¯¯¯¯ .
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From the statement, we know that:
• Kacie is constructing the inscribed circle for △MNP,
,• she constructed the angle bisectors of angle M and angle N,
• and labelled the intersection of the bisectors as point A.
(1) Now, Kacy must construct a perpendicular from the centre point to one side of the triangle.
(2) After this, she must place the compass on the centre point while adjusting its length to the point where the perpendicular crosses the triangle.
(3) Finally, she must draw the inscribed circle.
So the answer is that Kacy must construct the perpendicular bisector of AM.
AnswerConstruct the perpendicular bisector of AM
First drop down menu A. 2 B. 4 C. 8 Second drop down main choices A.30 B. 120 C. 60
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SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
From the question, it takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box that holds 15 cups of sugar.
If we double the dimensions of the box,
it means that the scale factor will be 2.
Hence, the area factor will be:
[tex]2^2=\text{ 2 x 2 = 4}[/tex]Part A:
The new box would require 4 oz -- ( OPTION B)
of paint to cover with the paint.
Part B:
Given the scale factor is 2,
Then the area factor is 2 x 2 = 4,
Then the volume factor is 2 x 2 x 2 = 8 times
Recall that:
The rectangular prism box holds 15 cups of sugar,
Then the new box would hold ( 15 x 8 = 120 cups of sugar ) --OPTION B
Y=-4 graph each equation by making a table
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The graph of the equation and the table is attached below.
Graph:
Graph means the pictorial representation of the given set of data or the equation.
Given,
Here we have the equation
y = -4.
Now, we need to plot the graph for this equation and we have also draw the table for that.
Here we have the equation y = -4. This one can't take any value for the calculation,
Which means it we take any value on the x coordinate, the given equation will result only the value of y as -4.
Which means, if we take x as -2, the value of y is -4.
If we take x as -1, it will also have the value of y as -4.
If we take x as 0, then again we will get the value of y as -4.
Therefore, it will continuous at infinity.
So, the table for this equation is look like the following.
And the graph of the equation is attached below.
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4. A stone nudged off the Royal Gorge Bridge near Cañon City, Colorado, falls 1053 feet before hitting water. Because its speed increases as it falls, the distance ittravels each second increases. During the first second, it drops 16 feet. During the next second, it drops an additional 48 feet. During the third second, it drops another80 feet. The distances traveled each second form an arithmetic sequence:16, 48, 80,...Part 1: How far does the stone fall during the 5th second? Find and use the explicitformula.a. What is the first term of the sequence?b. What is d, the common difference?c. Write the explicit formula in function notation. Use f(n) = f(1) + (n - 1)d, wheref(1) represents the first term.d. Use the explicit formula to find the distance the stone travels in the 5th second.Part II: The table below shows the values in the sequence you already know. Use the explicit formula or the common difference to complete the table for the first 7 seconds. Time (s) 1 2 3 4 5 6 7 Distance (ft) 16 48 80 | | 144 | | | | Part ||| : Use the table from part 2 to answer the questions a. The values in the table form a(n)___ sequence and the term numbers are shownb. The term values are shown in the in the____row, and the term numbers are shown in the ___ row. c. This sequence is associated with a(n)___function d. The domain of the function is the set of time values:___
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The formula for determining the nth term of an arithmetic sequence is expressed as
f(n) = f(1) + (n - 1)d
Where
f(1) represents the first term
d represents the common difference
n represents the number of terms
From the information given,
f(1) = 16
d = 48 - 16 = 80 - 48 = 32
a) The first term of the sequence is 16
b) the common difference is 32
c) The explicit is
f(n) = 16 + 32(n - 1)
d) To find the distance the stone travels in the 5th second, it means that n = 5
Thus
f(5) = 16 + 32(5 - 1)
f(5) = 16 + 32 * 4
f(5) = 144
the distance the stone travels in the 5th second is 144 feet
Michael and his sister Mel share the job of mowing the grass in their yard. Michael mows ⅓ of the yard, and Mel mows the rest. Mel can mow ¾ of the entire yard in an hour.How long will it take Mel to finish mowing the yard?? Also after Michael mows 1/3 of the yard what fraction of the yard does mel need to mow?
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Michael Mows = 1/3 of the yard
Mel mows the rest = 1-1/3 = 2/3 of the yard
Mel mows = 3/4 of the yard in an hour
After Michael mows 1/3 of the yard what fraction of the yard does Mel need to mow?
1- 1/3 = 2/3 of the yard
How long will it take Mel to finish mowing the yard??
2/3 / (3/4) = 8/9 hours = 0.89 hours
Charlie buys a new car with a sticker price of $9,684. For the down payment,he trades in his old car for $1,400. He finances the balance and makes36 monthly car payments of $253. What is the total amount paid for thecar, including interest?
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The total amount = 36 x 253 + 1400 = 9108 + 1400 = $10508
Therefore,
the total amount paid with interest $10508
Find the cube roots of 4−6i4−6iShow all your work.Include an explanation and diagram showing how DeMoivre's Theorem helps to solve this problem.
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Given the following complex number
[tex]z=4-6i[/tex]We will find the cube root of the complex number using the following formula:
[tex]^3\sqrt{z}=\sqrt[3]{|z|}*(cos\text{ }\frac{\theta+2\pi k}{3}+i*sin\text{ }\frac{\theta+2\pi k}{3})[/tex]The formula is called De Moivre's theorem of the nth root
We have substituted n = 3
So, first, we will convert the given number from the rectangular form to the polar form
[tex]\begin{gathered} |z|=\sqrt{4^2+6^2}\approx7.211 \\ \theta=tan^{-1}\frac{-6}{4}=303.7\degree \end{gathered}[/tex]Substitute the magnitude and the angle and k = 0, 1, 2
So, there are 3 cubic roots of the given number as follows:
[tex]\begin{gathered} k=0\rightarrow z_1=\sqrt[3]{7.211}(cos\frac{303.7}{3}+i*sin\frac{303.7}{3})=1.932(cos101.23+i*sin101.23) \\ \\ k=1\rightarrow z_2=\sqrt[3]{7.211}(cos\frac{303.7+2\pi}{3}+i*sin\frac{303.7+2\pi}{3})=1.932(cos221.23+i*sin221.23) \\ \\ k=2\rightarrow z_3=\sqrt[3]{7.211}(cos\frac{303.7+4\pi}{3}+i*sin\frac{303.7+4\pi}{3})=1.932(cos341.23+i*sin341.23) \end{gathered}[/tex]Enter the equation for the graph.АА- 112y = [?] cos([ ]x)Enter
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A cosine function has the form.
[tex]y=A\cos (Bx)[/tex]Where A refers to the changes of the y-coordinate along the curve, that is, the amplitude. And B refers to the period, that is, the repetition period of the curve.
According to the graph, the amplitude is 1, so A = 1.
Notice that from 0 to 2(pi) the function completes two cycles, which means B = 3.
Therefore, the function is [tex]y=1\cdot\cos (3x)[/tex]Translate the description below as an algebraic expression:The product of v and the difference of c and 10
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We have to translate the expression "The product of v and the difference of c and 10".
We know that the expression is a product of two factors: v and a difference. The difference is between the terms c and 10, so it can be written as (c-10).
Then, the product can be written as:
[tex]v\cdot(c-10)[/tex]Answer: the expression is v*(c-10)
the table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched. describe the scale you can use on X and Y axes of a coordinate grid that would show all of the distances and weights in the table
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Here the values are proportional to each other.
Proportionality ratio is,
[tex]\frac{20}{28}=\frac{5}{7}[/tex]Then scale on X-axis representing weight in Newton is 1 unit is equal to 7 Newton
And on the the Y axis representing distance in cm is 1 unit is equal to 5 cm.
Find the volume of the top of the prism, volume of the bottom prism, and total volume of figure.
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Volume of the top of the prism: 460 cm^3
Volume of the bottom of the prism: 1 768 cm^3
Total volume of the figure: 2 228 cm^3
Explanation:
Volume of the top of the prism:
. Since it is a prism from trapezoid
. . Volume = Area of the trapezium base * heights between trapezium ends
[tex]\begin{gathered} Area\text{ of a trapezium base}=\frac{top\text{ base+bottom base}}{2}*height \\ ...\text{ =}\frac{6+17}{2}*(22-17) \\ ...=\frac{23}{2}*5 \\ Area\text{ = 57.5 cm}^2 \end{gathered}[/tex][tex]Volume=57.5*8=460\text{ }cm^3[/tex]Volume of the bottom prism:
. Since the price has a rectangular base:
Volume = Area of one base * height between reactangular bases
Area of one base :
[tex]17*13=221\text{ }cm^2[/tex]Volume:
[tex]221*8=1\text{ }768\text{ }cm^3[/tex]Total volume of the figure:
Volume of the top + Volume of the bottom = Total volume
[tex]221+1\text{ }768=2\text{ }228\text{ }cm^3[/tex]NB:
To find any volume of a given prism, start with finding the area of one base, then multiply that area by the height (in other words the sides that link the two bases)
while exploring a volcano zane heard somerumbling, so he decided to climb up out of there as quicklyas he could zane's elevation relative to the edge of the inside of the volcano (in meter) as a function time (in seconds) is graphed. PLEASE HELP ME WITH THIS How long did it take Zane to reach the edge of the volcano?
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We have to find the time it took for Zane to be in the same elevation as the edge of the Volcano, that is, when his relative elevation is 0 on the graphic.
This happens at a time of 35 seconds. So:
It took Zane 35 seconds to reach the edge of the volcano.
1) A submarine is 84 feet below the surface of the water and descends 10 feet deeper every minute. How many minutes will it take for the submarine to be located 219 feet below the surface? Write and solve an equation.
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Answer
The equation for this question is
84 + 10x = 219
The number of minutes it'll take the submarine to reach 219 feet is 13.5 minutes
Explanation
Let the number of minutes it will take the submarine to reach 219 feet below the surface be x minutes.
The number of feet the submarine reaches in x minutes = (10x) feet
Since the submarine started from 84 feet, in x minutes, it would have reached a depth of
(84 + 10x) feet
This is equal to 219 feet
84 + 10x = 219
Subtract 84 from both sides
84 + 10x - 84 = 219 - 84
10x = 135
Divide both sides by 10
(10x/10) = (135/10)
x = 13.5 minutes
Hope this Helps!!!
Find the length of arc CD. Use 3.14for tt. Round to the nearest tenth.h 7.9 cm66.40D[? ]cm
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For this problem we know that the radius is 7.9cm and the angle between C and D is 66.4ª. We also want to find the arclenght so we can use the following formula:
[tex]AL=\frac{x}{360}\cdot2\pi r[/tex]Where x is the angle and r the radius r=7.9cm. So then replacing into the function we got:
[tex]AL=\frac{66.4}{360}\cdot2\pi(7.9cm)=9.16\operatorname{cm}[/tex]And if we round to the nearest tenth we got 9.2 cm
For which equation would x = 12 be a solution?x - 12 = 12x - 24 = 12x - 14 = 2x - 5 = 7
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Explanation
We are required to solve each equation till we arrive at the one that satisfies the "x=12" question.
First equation:
[tex]\begin{gathered} x-12=12 \\ Collect\text{ like terms} \\ x=12+12 \\ x=24 \end{gathered}[/tex]Second equation:
[tex]\begin{gathered} x-24=12 \\ Collect\text{ like terms} \\ x=12+24 \\ x=36 \end{gathered}[/tex]Third equation:
[tex]\begin{gathered} x-14=2 \\ Collect\text{ like terms} \\ x=2+14 \\ x=16 \end{gathered}[/tex]Last equation:
[tex]\begin{gathered} x-5=7 \\ Collect\text{ like terms} \\ x=7+5 \\ x=12 \end{gathered}[/tex]Hence, the last equation is the solution.
Solve pls. I neeeeeeeeed your help.
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Answer:
70 over 39
Step-by-step explanation:
here's the solution first multiple the numbers with the fraction then calculate after that simply the fractions and the answer is
[tex] \frac{70}{39} [/tex]
what is the x intercepts or zeros for y = x^2 - 6x + 5
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Solution:
Given;
[tex]y=x^2-6x+5[/tex]The x-intercepts are the points where y=0.
Thus;
[tex]x^2-6x+5=0[/tex]Thus;
[tex]\begin{gathered} x^2-x-5x+5=0 \\ \\ x(x-1)-5(x-1)=0 \\ \\ x-1=0,x-5=0 \\ \\ x=1,x=5 \end{gathered}[/tex]ANSWER:
[tex]x=1,x=5[/tex]The given diagram shows the steps for constructing a parallel line to line AB and passing through point P, but an error has occurred in the construction
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Given:
Constructing a parallel line to line AB and passing through point P.
To find:
The error occurred in the construction.
Explanation:
The procedure is,
The first arc must be drawn centred at C.
The second must be drawn centred at P.
Finally, the third arc must be drawn centred at F.
But here, the third arc is drawn centred at D. This is wrong.
Therefore, the correct step is that the third arc must be centred at F.
Final answer:
The third arc should be drawn centred at F.
suppose that the time required to complete a 1040r tax form is normally distributed with a mean of 100 minutes and a standard deviation of 15 minutes. what proportion of 1040r tax forms will be completed in less than 77 minutes? round your answer to at least four decimal places.
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The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301
How to find the proportion of the tax forms?
The time required to complete a 1040r tax form = normally distributed
Mean = [tex]\mu[/tex] = 100 minutes
Standard deviation = [tex]\sigma[/tex] = 15 minutes
The proportion of 1040r tax forms completed in less than 77 minutes is given by ,
P( X< 77 ) = P ( Z < [tex]\frac{77-100}{15}[/tex] )
= P( Z < - 1.53 )
=0.06301
Cumulative probability in the normal distribution =0.06301 or 6.301%
What is normal distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.The natural and social sciences frequently utilize normal distributions to describe real-valued random variables whose distributions are unknown, which is why normal distributions are essential in statistics. Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the normal distribution.A bell curve is another name for a normal distribution.To learn more about normal distribution, refer:
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Solve the system of two inequalities.y<6y≥-4Same format as the question below. Only the inequality is changed.
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Given the system of inequalities:
[tex]\begin{cases}y<6 \\ y\ge-4\end{cases}[/tex]First Inequality: y<6
• The inequality sign is <, therefore, the ,type of boundary line is Dashed.
The equation of the boundary line is y=6. Therefore:
• Two points on the boundary line are: (0, 6) and (2, 6)
The region below the line will be shaded.
Second Inequality: y≥-4
• The inequality sign is ≥, therefore, the ,type of boundary line is Solid.
The equation of the boundary line is y=-4. Therefore:
• Two points on the boundary line are: (0, -4) and (2, -4)
The region above the line will be shaded.
The graph is attached below:
Do the data in the table you made support the notion the arch is not a parabola? Explain why.
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The parabola that has the height and width similar to the Gateway arc, gives;
(a) The quadratic equation of the parabola is presented as follows;
[tex] f(x) = -6.991 \times 10^{-3} \cdot x^2 + 4.181 \cdot [/tex]
(b) The completed table is presented as follows;
Width. Height
567. 63.12
478. 225.67
308. 459.2
What is the shape of the graph of a quadratic function?The shape of a quadratic function is a parabola, which is either upward facing or downward facing
(a) The given dimensions of the arc are;
Height = 625
Width at the base = 598
The points on the parabola are therefore;
(0, 0), (598÷2, 625) = (299, 625), (598, 0)
The equation of the parabola is of the form;
f(x) = a•x² + b•x + c, which gives;
f(0) = 0 = a×0² + b×0 + c = c
c = 0
f(299) = 625 = a×299² + b×299 + 0...(1)
f(598) = 0 = a×598² + b×598...(2
(a×598² + b×598) - 2×(a×299² + b×299) = 0 - 2×625
a•178802 = -2×625
a = -2×625 ÷ 178802
a ≈ -6.991 × 10^(-3)
b ≈ 4.181.
The equation is therefore;
[tex] f(x) = -6.991 \times 10^{-3} \cdot x^2 + 4.181 \cdot [/tex]
(b)
The table of values is completed as follows;
When the width is 567 feet, x = 299 - 567÷2 = 15.5
[tex] \displaystyle{f(15.5) = -6.991 × 10^{-3} \times 15.5² + 4.181 \times 15.5 approx 63.12} [/tex]
When the width is 478 feet, x = 299 - 478÷2 = 60
[tex] \displaystyle{f(60) = -6.991 × 10^{-3} \times 60² + 4.181 \times 60 approx 225.67} [/tex]
When the width is 308 feet, x = 299 - 308÷2 = 145
[tex] \displaystyle{f(145) = -6.991 × 10^{-3} \times 145² + 4.181 \times 145 approx 459.2} [/tex]
The table is therefore presented as follows;
Width. Height
567. 63.12
478. 225.67
308. 459.2
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(CO 6) Find the regression equation for the following data setx 245 187 198 189 176 266 210 255y 50 54 55 78 44 41 51 60cannot be determinedŷ = 74.17x – 0.09ŷ = -0.09x + 74.17ŷ = 0.09x – 74.17
Answers
Answer
ŷ = -0.09x + 74.17
Explanation
For the given data set:
x 245 187 198 189 176 266 210 255
y 50 54 55 78 44 41 51 60
The sum of x = 245 + 187 + 198 + 189 + 176 + 266 + 210 + 255 = 1726
The sum of y = 50 + 54 + 55 + 78 + 44 + 41 + 51 + 60 = 433
Mean x = 1726/8 = 215.75
Mean y = 433/8 = 54.125
Sum of squares (SSx) = 8391.5
Sum of products (SP) = -779.75
(Check the table below of the data for a better understanding).
The regression Equation is given by ŷ = bX + a
b = SP/SSx = -779.75/8391.5 = -0.09292
a = My - bMx = 54.13 - (-0.09 x 215.75) = 74.17279
Therefore, the regression equation for the data set is: ŷ = -0.09292x + 74.17279
The correct answer is ŷ = -0.09x + 74.17
A tennis racket cost 12$ more than a hockey stick , if the price of the two is 31$ find the cost of a tennis racket
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So $31 - 12 = 19
19 / 2 = 9.5
So 9.5 is the cost of the hockey stick, now lets find the cost of the racket
$9.5 + 12 = 21.5
Therefore the cost of the tennis racket is $21.5
How do you write 94 in scientific notation?
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By definition, Scientific notation has the following form:
[tex]a\cdot10^n[/tex]Where the coefficient "a" is a number from 1 to 10 (but not including 10), and the exponent "n" is an Integer.
In Scientific notation, the Decimal point must be after the first digit of the coefficient.
In this case, you have this number:
[tex]94[/tex]Notice that, in order to write it in Scientific notation, you must move the decimal point one place to the left. Therefore, the exponent of the base 10 will be 1:
[tex]94=9.4\cdot10^1[/tex]The answer is:
[tex]9.4\cdot10^1[/tex]If 40% of the selling price of eight $65 sweater is profit then how much money profit does the store make when the sweater is sold
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Remember that 40%=0.4.
Per sweater, the profit is
[tex]65\cdot0.4=26[/tex]$26 of profit per sweater.
Finally, for the eight sweaters, the total profit is
[tex]26\cdot8=208[/tex]$208 is the profit for 8 sweaters