HELP ASAP! The number of entertainment websites in 1995 wass 54. By 2004 there were 793 entertainment website..
Approximately, what was the rate of change for the number of the websites for this time period??
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How I got that answer:
We have gone from 54 websites to 793 websites. This is a change of 793-54 = 739 new websites. This is over a timespan of 2004-1995 = 9 years.
Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.
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You could use the slope formula to get the job done. This is because the slope represents the rise over run
slope = rise/run
The rise is how much the number of websites have gone up or down. The run is the amount of time that has passed by. So slope = rise/run = 739/9 = 82.111...
In a more written out way, the steps would be
slope = rise/run
slope = (y2-y1)/(x2-x1)
slope = (793 - 54)/(2004 - 1995)
slope = 739/9
slope = 82.111....
Which equation can be used to find the area of the rectangle? A. A=9+4 B. A=1/2 (9)(4) C. A=9+9+4+4 D. A=(9)(4)
Answer:
D. A=(9)(4)
Step-by-step explanation:
area= length x width = 9x4
How do you write 0.0683 in scientific notation? ____× 10^____
Answer:
It's written as
[tex]6.83 \times {10}^{ - 2} [/tex]
Hope this helps you
Answer:
6.83 × 10 -2
hopefully this helped :3
A rectangular park measuring 32 yards by 24 yards is surrounded by a trail of uniform width. If the area of the park and the trail combine is 1748 square yards, what is the width of the park
Answer:
The width = 38 yard
Step-by-step explanation:
Given
Dimension of Park = 32 by 24 yard
Area = 1748 yd²
Required
Find the width of the park
Given that the park is surrounded by a trail;
Let the distance between the park and the trail be represented with y;
Such that, the dimension of the park becomes (32 + y + y) by (24 + y + y) because it is surrounded on all sides
Area of rectangle is calculated as thus;
Area = Length * Width
Substitute 1748 for area; 32 + 2y and 24 + 2y for length and width
The formula becomes
[tex]1748 = (32 + 2y) * (24 +2y)[/tex]
Open Bracket
[tex]1748 = 32(24 + 2y) + 2y(24 + 2y)[/tex]
[tex]1748 = 768 + 64y + 48y + 4y^2[/tex]
[tex]1748 = 768 + 112y + 4y^2[/tex]
Subtract 1748 from both sides
[tex]1748 -1748 = 768 -1748 + 112y + 4y^2[/tex]
[tex]0 = 768 -1748 + 112y + 4y^2[/tex]
[tex]0 = -980 + 112y + 4y^2[/tex]
Rearrange
[tex]4y^2 + 112y -980 = 0[/tex]
Divide through by 4
[tex]y^2 + 28y - 245 = 0[/tex]
Expand
[tex]y^2 + 35y -7y - 245 = 0[/tex]
Factorize
[tex]y(y+35) - 7(y + 35) = 0[/tex]
[tex](y-7)(y+35) = 0[/tex]
Split the above into two
[tex]y - 7 = 0\ or\ y + 35 = 0[/tex]
[tex]y = 7\ or\ y = -35[/tex]
But y can't be less than 0;
[tex]So,\ y = 7[/tex]
Recall that the dimension of the park is 32 + 2y by 24 + 2y
So, the dimension becomes 32 + 2*7 by 24 + 2*7
Dimension = 32 + 14 yard by 24 + 14 yard
Dimension = 46 yard by 38 yard
Hence, the width = 38 yard
You are converting 8 centimeters to meters. How wi
number of meters compare to 8? Explain.
Answer:
we say that 100cm is equal to 1m or 8 cm is equal to 8/100 m.
and the answer is 0.08m
Answer:
Sample Response: Centimeters are smaller than meters, so the number of meters will be less than 8.
Step-by-step explanation:
it was on edg
hope it helps :b
by how much is 25% of #25 greater than 15% of #15
Answer:
4
Step-by-step explanation:
25% of 25
0.25 × 25 = 6.25
15% of 15
0.15 × 15 = 2.25
Find the difference.
6.25 - 2.25
= 4
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
0.1 ft
4.5 ft
0.9 ft
4 ft
Answer:
x = 4.5 ft
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{18}{x}[/tex] = [tex]\frac{8}{2}[/tex] ( cross- multiply )
8x = 36 ( divide both sides by 8 )
x = 4.5
Denise is planning to put a deck in her back yard. The deck will be a 10-by-7-foot rectangle with a semicircle of diameter 4 feet, as shown below. Find the area of the deck (in square feet).(round your answer to two decimal places)
Answer:
[tex]approx. = 85.28 {ft}^{2} [/tex]
Step-by-step explanation:
You can think of this as adding the area of the rectangular portion of the deck (length x width) and the semicircular portion (πr^2)/2.
(l×w)+(πr^2)/2
(10×7)+((π2^2)/2
79+2π
[tex]approx. = 85.28 {ft}^{2} [/tex]
Find the product. (a - 8)(a + 2) A. 2a - 6 B. a2 - 16 C. a2 - 10a + 16 D. a2 - 6a - 16
Answer:
D. a^2 - 6a - 16
Step-by-step explanation:
The product is found using the distributive property.
(a -8)(a +2) = a(a +2) -8(a +2)
= a^2 +2a -8a -16
= a^2 -6a -16 . . . . . matches choice D
60 points +brainleist to best answer!
Answer:
A and B are independent because P(A) * P(B) = P(A and B).
Step-by-step explanation:
If A and B are independent, then P(A) * P(B) = P(A and B)
since
P(A)*P(B) = (2/3*1/4) = 2/12 = 1 / 6 = P(A and B)
A and B are independent.
Answer:
YES THANKS FOR 30
Step-by-step explanation:
suppose we have a fuse box containing 40 fuses of which 6 are defectives. If two fuses are selected at random and removed from the box. Find the probability that both are defective, if the first fuse (a) Replaced (b) Not replaced.
Answer: a) P(1&2 =defect)= 1/800
b) P(1&2 =defect)= 1/780
Step-by-step explanation:
a) The probability that 1st of the selected fuses is defective is 2/40=1/20 =0.05
So if we replace it by the not defective the number of defective fuses is 1 and total number is 40.
So the probability that 2-nd selected fuse is defective as well is 1/40
The probability both fuses are defective is
P(1&2 =defect)= 2/40*1/40=2/1600=1/800
b) The probability that 1st of the selected fuses is defective is 2/40=1/20 =0.05
SO residual amount of the fuses is 39. 1 of them is defective.
So the probability that 2-nd selected fuse is defective as well is 1/39
The probability both fuses are defective is
P(1&2 =defect)= 2/40*1/39=2/1560=1/780
HELPPPPPP!!!!!!!!!! ITS DUENSOON PLS
Answer:
Step-by-step explanation:
A=2(3.14)rh+2(3.14)r^2
A=2(3.14)(4.5)(19)+2(3.14)(4.5)^2
A=536.94+127.17
A=664.11
Might want to double the math but the formula is right!
In 12 years, a bond with a 6.35% annual rate earned $7620 as simple interest. What was the principle amount of the bond
Answer:
The principal amount is $10160
Step-by-step explanation:
Given; Simple interest, I = 7620
Rate, R = 6.25
Time, T = 12
Principal, P =?
The formula for simple interest, I is;
[tex]I = \frac{PRT}{100}[/tex]
Making P the subject of formula;
[tex]P = \frac{I100}{RT}[/tex]
[tex]P = \frac{7620 *100}{6.25*12}[/tex]
[tex]P = \frac{762000}{75}\\P = 10160[/tex]
Therefore, the principal amount is $10160
Answer:
10000
Step-by-step explanation:
If an amount of money, P, called the principal, is invested for a period of t years at an annual interest rate r, the amount of simple interest, I, earned is given by
I=PrtwhereIPrt=interest=principal=rate=time
The following information is given.
Irt=$7,620=0.0635=12 years
Substituting the given information into the simple interest formula and solving for P gives
7,6207,620=(P)(0.0635)(12)=0.762P
Dividing both sides by 0.762, we have
P=7,6200.762=10,000
Thus, the principal amount of the bond was $10,000.
According to a recent study, some experts believe that 15% of all freshwater fish in a particular country have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 150 fish we consider randomly sampled from the population of edible freshwater fish. Use the Central Limit Theorem (and the Empirical Rule) to find the approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.15. You can use the Central Limit Theorem because the fish were randomly sampled; the population is more than 10 times 150; and n times p is 22.5, and n times (1 minus p) is 127.5, and both are more than 10.
Answer:
The approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.15 is 0.95.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=0.15[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
As the sample size is large, i.e. n = 150 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.
Compute the mean and standard deviation as follows:
[tex]\mu_{\hat p}=0.15\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.15(1-0.15)}{150}}=0.0292[/tex]
So, [tex]\hat p\sim N(0.15, 0.0292^{2})[/tex]
In statistics, the 68–95–99.7 rule, also recognized as the empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the Normal distribution lie within one, two and three standard deviations of the mean, respectively.
Then,
P (µ-σ < X < µ+σ) ≈ 0.68
P (µ-2σ <X < µ+2σ) ≈ 0.95
P (µ-3σ <X < µ+3σ) ≈ 0.997
Then the approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.15 is 0.95.
That is:
[tex]P(\mu_{\hat p}-2\sigma_{\hat p}<\hat p<\mu_{\hat p}+2\sigma_{\hat p})=0.95\\\\P(0.15-2\cdot0.0292<\hat p<0.15+2\cdot0.0292)=0.95\\\\P(0.092<\hat p<0.208)=0.95[/tex]
triangle ABC is transformed to create triangle MNL?
Answer:
The transformation is rigid because the corresponding side lengths and angles are congruent.
Step-by-step explanation:
Since we have congruent triangles (not similar triangles), they will have to have the same length and angles throughout your transformation. Therefore, our answer is the 1st Option.
Answer:
B) The transformation is rigid because the corresponding side lengths and angles are congruent.
Step-by-step explanation:
Show all work to solve 3x^2 – 5x – 2 = 0.
Answer:
Step-by-step explanation:
3x2−5x−2=0
For this equation: a=3, b=-5, c=-2
3x2+−5x+−2=0
Step 1: Use quadratic formula with a=3, b=-5, c=-2.
x= (−b±√b2−4ac )2a
x= (−(−5)±√(−5)2−4(3)(−2) )/2(3)
x= (5±√49 )/6
x=2 or x= −1 /3
Answer:
x=2 or x= −1/ 3
The solutions to the equation are x = -1/3 and x = 2.
Here are the steps on how to solve [tex]3x^{2}[/tex] – 5x – 2 = 0:
First, we need to factor the polynomial. The factors of 3 are 1, 3, and the factors of -2 are -1, 2. The coefficient on the x term is -5, so we need to find two numbers that add up to -5 and multiply to -2. The two numbers -1 and 2 satisfy both conditions, so the factored polynomial is (3x + 1)(x - 2).
Next, we set each factor equal to 0 and solve for x.
(3x + 1)(x - 2) = 0
3x + 1 = 0
3x = -1
x = -1/3
x - 2 = 0
x = 2
Therefore, the solutions to the equation [tex]3x^{2}[/tex] – 5x – 2 = 0 are x = -1/3 and x = 2.
Here is the explanation for each of the steps:
Step 1: In order to factor the polynomial, we need to find two numbers that add up to -5 and multiply to -2. The two numbers -1 and 2 satisfy both conditions, so the factored polynomial is (3x + 1)(x - 2).
Step 2: We set each factor equal to 0 and solve for x. When we set 3x + 1 equal to 0, we get x = -1/3. When we set x - 2 equal to 0, we get x = 2. Therefore, the solutions to the equation are x = -1/3 and x = 2.
Learn more about equation here: brainly.com/question/29657983
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If two variables, x and y, have a very strong linear relationship, then:______. a. there is evidence that x causes a change in y.b. there is evidence that y causes a change in x.c. there might not be any causal relationship between x and y.d. none of these alternatives is correct.
Answer:
c. there might not be any causal relationship between x and y.
Step-by-step explanation:
A correlation can be defined as a numerical measure of the relationship between existing between two variables (x and y).
In Mathematics and Statistics, a group of data can either be negatively correlated, positively correlated or not correlated at all.
1. For a negative correlation: a set of values in a data increases, when the other set begins to decrease. Here, the correlation coefficient is less than zero (0).
2. For a positive correlation: a set of values in a data increases, when the other set also increases. Here, the correlation coefficient is greater than zero (0).
3. For no or zero correlation: a set of values in a data has no effect on the other set. Here, the correlation coefficient is equal to zero (0).
If two variables, x and y, have a very strong linear relationship, then there might not be any causal relationship between x and y.
A causal relation exists between two variables (x and y), if the occurrence of the first causes the other; where, the first variable (x) is referred to as the cause while the second variable (y) is the effect.
A strong linear relationship exists between two variables (x and y), if they both increases or decreases at the same time. It usually has a correlation coefficient greater than zero or a slope of 1.
Hence, if two variables, x and y, have a very strong linear relationship, then there might not be any causal relationship between x and y.
I NEED HELP PLEASE, THANKS! :)
A music concert is organized at a memorial auditorium. The first row of the auditorium has 16 seats, the second row has 24 seats, the third row has 32 seats, and so on, increasing by 8 seats each row for a total of 50 rows. Find the number of people that can be accommodated in the sixteenth row. (Show work)
Answer: 136
Step-by-step explanation:
An= A1+(n-1)d
A1=16, d=8, and n=16
A16= 16 +(16-1)(8)
A16= 16(15)(8)
A16= 16+120
A16=136
Hey there! :)
Answer:
f(16) = 136 seats.
Step-by-step explanation:
This situation can be expressed as an explicit function where 'n' is the row number.
The question also states that the number of seats increases by 8. Use this in the equation:
f(n) = 16 + 8(n-1)
Solve for the number of seats in the 16th row by plugging in 16 for n:
f(16) = 16 + 8(16-1)
f(16) = 16 + 8(15)
f(16) = 16 + 120
f(16) = 136 seats.
A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? 758 726 1204 639 584 463
Answer:
Yes. There is enough evidence to support the claim that the sample is from a population with a mean less than 1000 hic.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the sample is from a population with a mean less than 1000 hic.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=1000\\\\H_a:\mu< 1000[/tex]
The significance level is 0.05.
The sample has a size n=6.
The sample mean is M=729.
[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{6}(758+726+1204+639+584+463)\\\\\\M=\dfrac{4374}{6}\\\\\\M=729\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{5}((758-729)^2+(726-729)^2+(1204-729)^2+. . . +(463-729)^2)}\\\\\\s=\sqrt{\dfrac{326356}{5}}\\\\\\s=\sqrt{65271}=255\\\\\\[/tex]
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=255.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{255}{\sqrt{6}}=104.103[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{729-1000}{104.103}=\dfrac{-271}{104.103}=-2.6[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=6-1=5[/tex]
This test is a left-tailed test, with 5 degrees of freedom and t=-2.6, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t<-2.6)=0.024[/tex]
As the P-value (0.024) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the sample is from a population with a mean less than 1000 hic.
ope Equation
fy
What is the equation of the line in point-slope form?
4
= {(x + 4)
Oy+4=;
O y-4 = 2(x + 4)
N
Oy - 0 = 2(x-4)
Oy - 4 = 2(x -0)
4
-2.
2.
Answer:
A
Step-by-step explanation:
For point-slope form, you need a point and the slope.
y - y₁ = m(x - x₁)
Looking at the graph, the points you have are (4, 0) and (-4, -4). You can use these points to find the slope. Divide the difference of the y's by the difference of the x's/
-4 - 0 = -4
-4 - 4 = -8
-4/-8 = 1/2
The slope is 1/2. This cancels out choices C and D.
With the point (-4, -4), A is the answer.
the equation of the line in slope-intercept form is:
y = (1/2)x - 2
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
From the graph, two points on the line are (-4, -4) and (4,0),
The formula for the slope of a line is:
m = (y₂ - y₁) / (x₁ - x₁)
where (x₁, y₁) and (x₂, y₂) are two points on the line.
Using the given points (-4, -4) and (4, 0), we can calculate the slope:
m = (0 - (-4)) / (4 - (-4))
m = 4 / 8
m = 1/2
Now that we know the slope, we can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
To find the y-intercept, we can use one of the given points on the line. Let's use the point (-4, -4):
y = mx + b
-4 = (1/2)(-4) + b
-4 = -2 + b
b = -2
Therefore, the slope-intercept form of the line is y = (1/2)x - 2.
Learn more about Linear equations here:
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I NEED HELP FAST, THANKS! :)
Answer:
33 units²
Step-by-step explanation:
A (graphing) calculator shows you that f(4) ≈ 8, and f(8) ≈ 8.5. The curve is almost a straight line between, so the area is approximately ...
A = (1/2)(8 + 8.5)(4) = 33
__
If you do the integration, it gets a bit messy.
[tex]\displaystyle\dfrac{5}{7}\int_4^8{x^{2/7}}\,dx+\dfrac{1}{2}\int_4^8{x^{4/9}}\,dx+\int_4^8{6}\,dx\\\\=\left.\left(\dfrac{5}{9}x^{9/7}+\dfrac{9}{26}x^{13/9}+6x\right)\right|_4^8\approx 33.16[/tex]
The appropriate answer choice is 33 square units.
which number should.be added to the data so that the range of the data is 31? 54,72,64,57
Answer: 41 or 85
Step-by-step explanation:
Range is the difference between the largest number and the smallest number.
The largest number is 72. 72 - 31 = 41
The smallest number is 54. 54 + 31 = 85
Adding either ONE of those numbers will result in a range of 31.
What is the value of (3x^2+1-1-x)(2) ?
Answer:
6x^2 -2x
Step-by-step explanation:
As written, the constant terms in the first factor cancel each other. The distributive property is used to perform the multiplication:
(3x^2 +1 -1 -x)(2) = (3x^2 -x)(2) = (3x^2)(2) -x(2)
= 6x^2 -2x
What is the point-slope form of a line with slope 3/2 that contains the point
(-1,2)?
A. y+2 = (x - 1)
B. y-2 = {(x-1)
C. y-2 = = {(x+1)
D. y+2= {(x+1)
Answer:
y - 2 = (3/2)(x + 1)
Step-by-step explanation:
Start with the point-slope formula y - k = m(x - h). With m = 3/2, h = -1 and k = 2, we get:
y - 2 = (3/2)(x + 1)
Does the following systems produce an infinite number of solutions 2y + x = 4 ; 2y = -x +4
Answer:
Yes.
Step-by-step explanation:
In the future, simply plug both equations into Desmos.
A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates employed. The second matrix B shows the average annual cost of salary and benefits (in thousands of dollars). Complete parts (a) through (c) below.
Managers Associates
Restaurant 5 25 = A
Food Truck 1 4
Salary Benefits
Managers 41 6 = B
Associates 20 2
a. Find the matrix product AB .
b. Explain what AB represents.
c. According to matrix AB , what is the total cost of salaries for all employees (managers and associates) at the restaurant? What is the total cost of benefits for all employees at the food truck?
Answer:
A*B= [tex]\left[\begin{array}{cc}705&80\\121&14 \end{array}\right][/tex]
Step-by-step explanation:
Given A= [tex]\left[\begin{array}{cc}5&25\\1&4\end{array}\right] \left[\begin{array}{cc}41&6\\20&2\end{array}\right][/tex] = B
Finding A*B means multiplying the first row with the first column and first row with the second column would give the first row elements. The second ro0w elements are obtained by multiplying the second row with the 1st column and second row with the second column.
so A*B= [tex]\left[\begin{array}{cc}5*41+ 25*20&5*6 + 25*2\\ 1*41+4*20 & 1*6+ 4*2\end{array}\right][/tex]
Now multiply and add the separate elements of the matrix A*B=
[tex]\left[\begin{array}{cc}205+500&30+50\\41+80&6+8\end{array}\right][/tex]
A*B= [tex]\left[\begin{array}{cc}705&80\\121&14 \end{array}\right][/tex]
b. The 1st element of the 1st row shows the salaries of the managers and 2nd element of the 1st row the salaries of associates at the restaurant . The second row 1 st element shows the benefits of the managers and 2nd element the benefits of the associates at the food truck.
c. The total cost of salaries for all employees (managers and associates) at the restaurant = 705 + 80 = 785
Total cost of benefits for all employees at the food truck= 121 + 14= 135
1)
Check all the expressions that are equal to this one:
5. (4+1)
A. (5 • 4) + 1
B. 5.4 + 5 - 1
C. (4+1) • 5
D. 5. (1 + 4)
5
Rewrite
1
barrel
1/2 hour
as a unit rate.
Answer: 2 barrels/1 hour
Step-by-step explanation:
A unit rate is per 1 of something. 1/2*2=1. Thus, simply do 1*2 to get
2 barrels/1 hour
Hope it helps <3
Graph the exponential model y = 3(6)x .Which point lies on the graph?
Answer:
0
Step-by-step explanation:
y = 3 × 6x
0 = 3 × 6x
0 = 18x
18x = 0
x = 0
Hope this helps! :)
Evaluate the expression ........
Answer:
13
Step-by-step explanation:
p^2 -6p +6
Let p=-1
(-1)^2 -6(-1) +6
1 +6+6
13