Answer:
I cant see your question can you show it properly??A forest covers 64,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees are there?
A local cable company claims that the proportion of people who have Internet access is less than 63%. To test this claim, a random sample of 800 people is taken and its determined that 478 people have Internet access. The following is the setup for this hypothesis test: H0:p=0.63 Ha:p<0.63 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.
Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Answer:
-3.66
Step-by-step explanation:
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
What’s the 6th term of 23,92,368
Answer:
23552
Step-by-step explanation:
23, 92, 368... is a geometric sequence.
first term = a = 23
common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4
nth term = \(ar^n^-^1\)
6th term = \(23*(4)^6^-^1\)
\(=23*4^5\)
\(=23*1024\)
\(=23552\)
Hope this helps :)
Pls brainliest...
\( \sqrt{25 - 49} \)pls what is the answer
We need to evaluate the expression:
\(\sqrt[]{25-49}\)Notice that the expression inside the square root results in a negative number. So, we need to use the following definition for the imaginary number i:
\(i=\sqrt[]{-1}\)Now, we obtain:
\(\begin{gathered} \sqrt[]{25-49}=\sqrt[]{-24} \\ \\ =\sqrt[]{4\cdot(-1)\cdot(6)} \\ \\ =\sqrt[]{4}\cdot\sqrt[]{-1}\cdot\sqrt[]{6} \\ \\ =2i\sqrt[]{6} \end{gathered}\)Therefore, the answer is:
\(2i\sqrt[]{6}\)Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button
Since we have a right isosceles triangle,we have the following:
using the pythagorean theorem, we have:
\(\begin{gathered} x^2+x^2=(12)^2 \\ \Rightarrow2x^2=144 \\ \Rightarrow x^2=\frac{144}{2}=72 \\ \Rightarrow x=\sqrt[]{72}=6\cdot\sqrt[]{2} \\ x=6\cdot\sqrt[]{2} \end{gathered}\)therefore, the length of each leg of the isosceles right triangle is 6*sqrt(2)
You are painting a door with a diamond shape shaped window as shown you have to put a tape around the edge of the window to keep the paint off find the length of tape you need to to the nearest inch
Answer:
104 inches
Step-by-step explanation:
No window dimensions are given. We might assume that the shape of the window can be defined by these coordinates:
(18,64), (28,40), (18,16), (8,40)
A graph of the points reveals the window to be a rhombus, so we can figure the length of one side to determine the lengths of all sides.
On edge of the window will have a length determined by the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
For (x1, y1) and (x2, y2) as (8, 40) and (18, 64), the edge length is ...
d = √((18 -8)^2 +(64 -40)^2) = √(10^2 +24^2) = √676
d = 26 . . . . . the length of one of the four edges
The total length of the four window edges is ...
4 × 26 = 104
104 inches of tape are needed.
in square abcd, BE=13 find BC
Answer:
13sqrt{2}
Step-by-step explanation:
let's assume one side of square is a;
diognal which is BD=
\(a\sqrt{2}\\BE is BD/2=\frac{a\sqrt{2}}{2}=13\\a\sqrt{2}=26\\a=26/\sqrt{2}=13\sqrt{2}\)
BC=CD=DA=AB=a=13sqrt{2}
In the diagram below of circle O, chords AD and BC intersect at E, and chords AB and CD are drawn.
Which statement must always be true?
PLEASE HELP!
The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.
What is a circle ?
A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.
In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.
Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:
\(\angle A + \angle C = 180^\circ\)
Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,
\(\angle B + \angle C = 180^\circ\)
We can rewrite the second equation as:
\(\angle C = 180^\circ - \angle B\)
Substituting this value of \angle C into the first equation, we get:
\(\angle A + 180^\circ - \angle B = 180^\circ\)
Simplifying, we get:
\(\angle A = \angle B\)
Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)
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What is the slope of the line that passes through the points (4,1) and (6, 2)?
Answer:
1-2
Step-by-step explanation:
honestly idek what this stuff is I just need points
Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2
The value of cos(45°) is √2/2. The correct answer choice is D. √2.
In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.
Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.
Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:
cos(45°) = x/(x√2) = 1/√2
Simplifying further, we rationalize the denominator:
cos(45°) = 1/√2 * √2/√2 = √2/2
Therefore, the value of cos(45°) is √2/2.
The correct answer choice is D. √2.
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what is the correct procedure when you want to do a test of the population mean but the population standard deviation is unknown? select all that apply.
When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).
Pls help me I really nee it pls pls pls pls
What is 98 in exponential form
We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.
To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.
Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:
We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.
To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.
98 ÷ 10 = 9.8
Since 9.8 is still greater than 1, we need to continue dividing by 10.
9.8 ÷ 10 = 0.98
Now, we have reached a value less than 1, so we stop dividing.
From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:
98 =\(10^1\) + 2
Therefore, we can write 98 in exponential form as:
98 = \(10^3\)
In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.
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a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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Suppose we draw a card from a deck of 53 cards. what is the probability of drawing a 9 or a king? show your work.
Answer:
P(9 or king) = P(9) + P(king)
= 4/52 + 4/52 = 8/52 = 2/13
Lily’s sister deposited $60,000 into a bank that pays 4.8% annual interest (compounded monthly) on Lily’s 6th birthday. What is the balance in this account on Lily’s 18th birthday?Round your answer to the nearest whole dollar.
Answer:
$106,612.
Explanation:
To calculate the amount, A(t) for a principal, Ao compounded k times in a year for t years at r% interest rate, we use the formula:
\(A(t)=A_o(1+\frac{r}{k})^{kt}\)From the problem, the following information are given:
• The amount deposited, Ao = $60,000
,• Annual Interest Rate, r = 4.8% =0.048
,• Time, t = 18-6 = 12 years
,• Compounding Period, k=12 (Monthly)
Substitute the values into the formula:
\(\begin{gathered} A(12)=60,000(1+\frac{0.048}{12})^{12\times12} \\ =60,000(1+0.004)^{144} \\ =60,000(1.004)^{144} \\ =106,611.95 \\ \approx\$106,612\text{ (to the nearest dollar)} \end{gathered}\)The balance in the account on Lily's 18th birthday is $106,612.
Which graph has slope of 2
Answer:
I think it would be (D)
Step-by-step explanation:
not (B) because it's decreasing
not (A) or (C) because it ain't look right to me
The required graph which has a slope of 2, is given as graph D. Option D is correct.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the Graph 1 is given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = 1 - 2/ 4-0
m = 1/ 4
Similarly,
Slope of the line
B, m = -1
C, m = 1
D, m = 2
Thus, the required graph which has a slope of 2, is given as graph D. Option D is correct.
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A rectangle is drawn so the width is 5 inches longer than
the height. If the rectangle's diagonal measurement is 36
inches, find the height.
Give your answer rounded to 1 decimal place.
inches
Answer:
\(length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}\)
\(l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}\)
clearly,
\(l_{2} \ is \ a \ negative\ number\)
So we consider
\(l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83\)
Therefore height = 22.8inches
OKJZ IOEAFQWKEJSIERRA CARDEKSAMXCQEQEWKDSXMZ
Answer:
\((4f)^3 = 64*f^3\)
\((-\frac{3}{2}t^2)^2 = \frac{9}{4}t^4\)
Step-by-step explanation:
Solving (a):
\((4f)^3\)
Apply law of indices:
\(x^3 = x * x * x\)
So, we have:
\((4f)^3 = 4f * 4f * 4f\)
Rewrite as:
\((4f)^3 = 4 * 4 * 4*f*f*f\)
\((4f)^3 = 64*f^3\)
Solving (b):
\((-\frac{3}{2}t^2)^2\)
Apply law of indices:
\(x * x = x^2\)
So, we have:
\((-\frac{3}{2}t^2)^2 = (-\frac{3}{2}t^2) * (-\frac{3}{2}t^2)\)
Remove brackets
\((-\frac{3}{2}t^2)^2 = -\frac{3}{2}t^2 * -\frac{3}{2}t^2\)
Rewrite as:
\((-\frac{3}{2}t^2)^2 = -\frac{3}{2}*-\frac{3}{2}*t^2 * *t^2\)
\((-\frac{3}{2}t^2)^2 = \frac{3}{2}*\frac{3}{2}*t^4\)
\((-\frac{3}{2}t^2)^2 = \frac{9}{4}*t^4\)
\((-\frac{3}{2}t^2)^2 = \frac{9}{4}t^4\)
1/2 + .50 + 1/5 help ):
Answer:
the answer is 1.2 or 1 1/5
Step-by-step explanation:
Answer:
.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5
Step-by-step explanation:
What is the allusion:
"I don't know if this store carries shoes in your size, Sasquatch," my dad joked when we went shopping for another new pair of shoes, my second pair in two
months.
Shoes
Dad
Sasquatch
Two Months
The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.
The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.
The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.
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Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?
Answer:
1.5x+4
Step-by-step explanation:
Step-by-step explanation:
Step 1: Distribute
\(2(3x - 1.75) - 3(1.5x - 2.5)\)
\((2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)\)
\((6x) + (-3.5) + (-4.5x) + (7.5)\)
Step 2: Combine like terms
\((6x - 4.5x) + (7.5 - 3.5)\)
\(1.5x + 4\)
Answer: \(1.5x + 4\)
the graph of a line is shown on the grid. the coordinates of both point indicated on the graph of the line are integer
Answer:
-5/6
Step-by-step explanation:
By the application of Analytical geometry the rate of change of y with respect to x is -5/6.
what is Analytical geometry?
Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.
The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.
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Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
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the surface area of the sphere is 105 square inches what is the volume of the sphere use 3.14 for pi
Answer:
The volume of the sphere is \(V\approx101.212 \:in^3\).
Step-by-step explanation:
A sphere is a 3-D figure in which all of the points in a plane are the same distance from a given point, the center of the sphere.
A sphere with radius r has a volume of
\(V=\frac{4}{3} \pi r^3\)
and a surface area of
\(S=4\pi r^2\)
To find the volume of the sphere we use the fact that the surface area of the sphere is 105 \(in^2\) and we use it to find the radius.
\(105=4\pi r^2\\\\4\left(\pi \right)r^2=105\\\\r^2=\frac{105}{4\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{105}{4\pi }},\:r=-\sqrt{\frac{105}{4\pi }}\)
The radius cannot be negative. Therefore,
\(r=\sqrt{\frac{105}{4\pi }}=\frac{\sqrt{105}\sqrt{\pi }}{2\pi }\approx 2.891 \:in\)
Now, that we know the radius we can find the volume
\(V=\frac{4}{3} \pi (2.891)^3=\frac{96.65053\dots \pi }{3}=\frac{303.63661\dots }{3}\approx101.212 \:in^3\)
Kenya Kon sells dishwashers. He earns an 8% commission on sales. How much must he sell in order to earn $3000?
*if you can answer fast that would be great! thank you!
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 116.8. If the organization's claim is correct, what is the probability of having a sample mean of 116.8 or less for a random sample of this size
Answer:
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean IQ score of its members is 118, with a standard deviation of 17.
This means that \(\mu = 118, \sigma = 17\)
Sample of 35:
This means that \(n = 35, s = \frac{17}{\sqrt{35}}\)
What is the probability of having a sample mean of 116.8 or less for a random sample of this size?
This is the pvalue of Z when X = 116.8. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}\)
\(Z = -0.42\)
\(Z = -0.42\) has a pvalue of 0.3372
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size
The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Last one please help
Wil give 20 point
Answer:
blue 3/4
black 4/5
Step-by-step explanation:
I'm not sure about the answer
Answer:
2/25
Step-by-step explanation:
So 30 total marbles.
The marble is being REPLACED this time. Our denominator (30) won't change for this example because we're putting the marble back in the bag in between selections.
Prob (blue) = 12/30
We put that marble back so we still have 30 marbles in the bag.
Now we're going to look for prob(black) = 6/30
Multiply these 2 'events' by each other; they are independent events.
(12/30) x (6/30) = 2/25