I'm kind of having trouble with these​

Answer:

2nd box 2/5y and -0.2y

last box -6 and -2

Step-by-step explanation:

Given simultaneous equations:

x - 2y -15 = 0

x - 4y -3 = 0

a)

Rearranging the equation 2.

x - 3 = 4y

x - 4y -3 = 0

x = 4y + 3

b)

x - 2y = 15

substitute x value

4y+3 - 2y = 15

2y + 3 = 15

2y = 15 - 3

2y = 12

divide 2 on both sides

2y/2 = 12/2

y = 12/2

y = 6

y value in x - 2y = 15

x - 2*6 = 15

x - 12 = 15

x = 27.

the values of x and y is 27 and 6.

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The difference in value between the two accounts after 8 years is approximately £18.01, with the Central Alliance Bank (CAB) account having a higher value.

For Central Alliance Bank (CAB) with simple interest, the formula to calculate the final amount (A) is:

A = P * (1 + r*t)

Let's calculate the final amounts for each account after 8 years:

Northern Savings Bank (NSB):

P = £6400

r = 2.5% = 0.025 (as a decimal)

n = 1 (compounded annually)

t = 8

A_NSB = £6400 * (1 + 0.025/1)^(1*8)

= £6400 * (1 + 0.025)⁸

= £6400 * (1.025)⁸

= £6400 * 1.20973297

≈ £7758.39

Central Alliance Bank (CAB):

P = £6400

r = 2.7% = 0.027 (as a decimal)

t = 8

A_CAB = £6400 * (1 + 0.027 * 8)

= £6400 * (1 + 0.216)

= £6400 * 1.216

≈ £7776.40

The difference in value between the two accounts after 8 years is:

Difference = A_CAB - A_NSB

= £7776.40 - £7758.39

≈ £18.01

Therefore, the difference in value between the two accounts after 8 years is approximately £18.01, with the Central Alliance Bank (CAB) account having a higher value.

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Answer:

73 then 89 is the prime numbers

Step-by-step explanation:

(a) The open interval (0, 1) on the real number line. (b)  The complement of the open interval (0, 1) on the real number line. (c) The set {-6, -3, -2, -1, 1, 2, 3, 6}. (d) The set {..., -12, -6, 0, 6, 12, ...}.

a. "The set of all x in the real numbers such that x is greater than 0 and less than 1."

b. "The set of all x in the real numbers such that x is less than or equal to 0 or x is greater than or equal to 1."

c. "The set of all n in the integers such that n is a factor of 6."

d. "The set of all n in the integers such that n is a multiple of 6."

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Answer:

I got -437

Step-by-step explanation:

Lets break it down.

12x - 3y4x - z

If you substitute the numbers for its given variable, you should get

12(3) - 3(13)4(3) - 5

Now, just multiply and subtract to simplify.

36 - 468 - 5

-437

Answer:

THE RIGHT answer is 5

Step-by-step explanation:

Based on the line plot, the shortest lizard is 2 feet long and the longest lizard is 7 feet long. Therefore, the difference between the lengths of the longest and shortest lizards is 5 feet.

The line plot indicates that the shortest and longest lizards are each 2 feet long. As a result, there are 7 - 2 = 5 feet between the longest and shortest lizards in terms of length.

A line plot is a graph that displays data using X's above a number line to represent the frequency of each value. In this case, the line plot shows the lengths of the 9 lizards that Seaira measured.

A line plot, commonly referred to as a dot plot, is a straightforward graphical data display that shows distinct data points along a number line. It is frequently used to display the frequency and distribution of a set of data. A mark or dot is placed above the relevant value on the number line to symbolise each data point. Line plots offer a visual representation of the data's central tendency and variation and are especially helpful for small data sets. They enable fast data analysis, allowing for the detection of outliers, clustering, and discrepancies in the data distribution.

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Answer:

4.99411449973

Step-by-step explanation:

Easy math! Just divide 93.34 by 18.69

Answer:

4.99411449973

Step-by-step explanation:

You can divide those two numbers together and to check just divide 93.34 by 4.99411449973 and you get 18.69

Answer: hmmmm, nothing’s there!

Step-by-step explanation:

Given

We want to draw the graph

Solution

Before, I send the graph, Let us get the coordinate of the vertex

From

Answer:

awesome 100✓jjjjjjjjjjj

Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

1-digit numbers: There are 6 choices for the first digit.

2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).

3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).

Therefore, the total number of numbers that can be formed is:

1-digit numbers: 6

2-digit numbers: 6 x 5 = 30

3-digit numbers: 6 x 5 x 4 = 120

The total number of numbers is the sum of these:

6 + 30 + 120 = 156

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By using Law of Sines, the side b and a when A = 37°, B = 49°,c=5, and A = 132", C = 23, b = 10 is b ≈ 4.09 and a ≈ 19.66 respectively.

To use the Law of Sines to solve for the missing side in an oblique triangle, we can use the following formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's solve each problem using the Law of Sines:

Find side b when A = 37°, B = 49°, c = 5.

We know angle A, angle B, and side c. We need to find side b.

b/sin(B) = c/sin(C)

b/sin(49°) = 5/sin(180° - 37° - 49°)

b/sin(49°) = 5/sin(94°)

Cross-multiplying:

b * sin(94°) = 5 * sin(49°)

b = (5 * sin(49°)) / sin(94°)

b ≈ 4.09

Therefore, side b ≈ 4.09 (rounded to the nearest hundredth).

Find side a when A = 132°, C = 23, b = 10.

We know angle A, angle C, and side b. We need to find side a.

a/sin(A) = b/sin(B)

a/sin(132°) = 10/sin(180° - 132° - 23°)

a/sin(132°) = 10/sin(25°)

Cross-multiplying:

a * sin(25°) = 10 * sin(132°)

a = (10 * sin(132°)) / sin(25°)

a ≈ 19.66

Therefore, side a ≈ 19.66 (rounded to the nearest hundredth).

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Answer:

1170 miles

Step-by-step explanation:

multiply 12 x 84 to get 1008 keep that 1008 for later. divide 72 by 60 you should get 1.2, times 1.2 and 15 and you should get 18 keep the 18. times 2 by 72 and get 144. add 144 and 18 to get 162. add 162 and 10008 to get 1170. the awnser is 1170 miles.

Gene is incorrect in his statement. Let's compare the two numbers -2 1/8 and -2.25.Gene's claim that -2 1/8 is less than -2.25 is incorrect based on the numerical comparison of the two values.

To compare these numbers, we can convert them to a common format. -2 1/8 can be written as a decimal by dividing 1 by 8 and adding it to -2:

-2 1/8 = -2 + 1/8 = -2 + 0.125 = -2.125

Now let's compare -2.125 and -2.25. Both numbers are negative, so we can compare their absolute values instead.

|-2.125| = 2.125

|-2.25| = 2.25

Since 2.125 is less than 2.25, it means that -2.125 is less than -2.25. Therefore, Gene's statement that -2 1/8 is less than -2.25 is incorrect.

In decimal form, -2.125 is closer to 0 than -2.25. The value -2.125 is actually greater than -2.25 because the closer a number is to 0, the greater it is in the negative direction.

Therefore, Gene's claim that -2 1/8 is less than -2.25 is incorrect based on the numerical comparison of the two values.

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a) The stem and leaf plot of the data is illustrated below.

b) Based on the stem-and-leaf plot, it appears likely that a coupon will "survive" beyond 2000 cycles since there are data points in that range.

First, we separate the data into stems and leaves. The stem represents the tens place, while the leaves represent the ones place. For example, if a data point is 1223, the stem would be 122 and the leaf would be 3. By organizing the data in this manner, we can easily determine the frequency of values and observe any patterns that emerge.

Now let's construct the stem-and-leaf plot for the given data:

Stem | Leaves

------+-------

7 | 06 58 85 90 98

8 | 45 65 85 85 88 90 90 93 94 94 98

9 | 10 55 69 69 90 90 90 90 90 93 94 94 94

10 | 15 20 23 23 26 30 33 40 42 42 50 58 60 62 62 74 85 90

11 | 02 02 06 09 20 20 22 23 26 35 52 52 52 52 55 67 90 90

12 | 03 20 20 22 23 33 33 58 58 69 90 90

13 | 15 35 42 46 58 70 82 98

14 | 02 35 42 81

15 | 18 23 35 40 42 52 67 74

16 | 42 60 42

17 | 06 30 50 81

18 | 20 22 50 82

19 | 30 90 92

20 | 10 30 50 70 82

21 | 00 00 02

22 | 33 33 58 58 90

23 | 33 33

24 | 20 22

25 | 33 65

For instance, a stem value of 8 with leaves 45 indicates two data points: 845 and 885. The frequency of each data point can be determined by counting the number of leaves associated with each stem.

Now, let's address the question of whether it appears likely for a coupon to "survive" beyond 2000 cycles. To answer this, we examine the stem-and-leaf plot. We observe that the stem value of 20 contains several leaves greater than 0, indicating that there are data points in the 2000s range. Additionally, the stem values of 21 and 22 also have leaves, suggesting the presence of data points beyond 2000 cycles.

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The probability of the cell phone company gaining at least 5 new customers from contacting 50 potential customers through their telemarketing campaign is approximately 42.46%.

If the probability of successfully gaining a new customer through a telemarketing campaign is 0.07, then the probability of not gaining a new customer is 0.93 (1-0.07). To calculate the probability of gaining at least 5 new customers out of 50 potential customers, we can use the binomial distribution formula.
P(X≥5) = 1 - P(X<5)
Where X is the number of new customers gained out of 50 potential customers.
P(X<5) = Σ (50 choose x) * (0.07)^x * (0.93)^(50-x) for x = 0 to 4
Using a calculator or software, we can calculate P(X<5) to be 0.906.
Therefore, the probability of gaining at least 5 new customers out of 50 potential customers is:
P(X≥5) = 1 - P(X<5) = 1 - 0.906 = 0.094
So, there is a 9.4% chance of gaining at least 5 new customers out of 50 potential customers in this telemarketing campaign.
To calculate the probability of successfully gaining at least 5 new customers from 50 potential customers with a success rate of 0.07, we can use the binomial probability formula. The formula is:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
where P(X = k) is the probability of k successes in n trials, C(n, k) is the number of combinations of n items taken k at a time, p is the probability of success, and (1-p) is the probability of failure.
In this case, n = 50, p = 0.07, and we want to find the probability of at least 5 successes (k ≥ 5). To do this, we can calculate the probability of fewer than 5 successes (k < 5) and subtract this value from 1:
P(X ≥ 5) = 1 - P(X < 5)
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
Now, we can plug in the values and calculate each term using the binomial probability formula, then sum the probabilities and subtract from 1 to get the desired probability:
P(X ≥ 5) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4))
After calculating the probabilities and summing them, we find:
P(X ≥ 5) ≈ 0.4246

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Answer:

Step-by-step explanation:

Given that the radius of a bubble increases by 4%.

Let r be the radius of the spherical bubble, so the new radius of the sphere

\(R= r+0.04r = 1.04r\cdots(i)\)

(a) Surface area of the bobble,

\(s=4\pi r^2\)

So, the rate of increase of surface area = \(4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)\)

The percentage change in the surface area \(= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100\)

By using equation (i)

The percentage change in the surface area = \(\frac {(1.04r)^2-r^2}{ r^2}\times 100\)

\(=(1.04^2-1)\times 100\)

=8.160%

Therefore, the percentage change in the surface area is 8.160%

(b) The volume of the sphere = \(4/3 \pi r^3\)

So, the change in the volume = \(4/3 \pi R^3-4/3 \pi r^3\)

Percentage change in the volume =

\(\frac {4/3 \pi R^3-4/3 \pi r^3}{4/3 \pi r^3}\times 100\)

\(=(1.04^3-1)100\) [by using equation (i)]

=12.486%

Therefore, the percentage change in the volume is 12.486%.

Answer: D

Step-by-step explanation:

Zach won because 3 16/24 is less than 3 15/24. Then, 3.666666 is less than 3.625

Answer:

see explanation

Step-by-step explanation:

To express a proper fraction in decimal form.

Divide the numerator by the denominator, that is

22 ÷ 7 ≈ 3.1429 ( to 4 decimal places )

72/60 to get the speed per minute which is 1.2 miles per minute. From there you can just multiply by 2 to get how far the car will travel in two minutes which is 2.4 kilometers. Not rounded btw.

The standard deviation is a statistical measure that tells us how spread out the data is from the mean.

In this case, we are given the mean amount of food eaten by 10 dogs in a lab, which is 14 oz, and the sum of squared deviations from the mean, which is 220. The standard deviation can be calculated using the formula: standard deviation = square root of (sum of squared deviations / number of observations). By plugging in the given values, we get a standard deviation of 4.69 oz.

This value means that the amount of food eaten by each dog varies from the mean by an average of 4.69 oz. A smaller standard deviation indicates that the data is tightly clustered around the mean, while a larger standard deviation indicates that the data is more spread out. In this case, a standard deviation of 4.69 oz suggests that there may be some variability in the amount of food eaten by the dogs in the lab. Further analysis may be necessary to determine if this variability is significant and if any factors are influencing it.

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Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Step 3: Solve for x

To find the marginal PDF of X, we integrate the joint PDF with respect to y over the range of possible values of y:

fx(x) = ∫[0,1] fx,y(x,y) dy

= ∫[0,1] ((x+y)/3) dy

= (1/3) ∫[0,1] (x+y) dy

= (1/3) [xy + (y^2/2)] [y=0 to 1]

= (1/3) [x + 1/2]

= (1/3)x + (1/6)

Similarly, to find the marginal PDF of Y, we integrate the joint PDF with respect to x over the range of possible values of x:

fy(y) = ∫[0,1] fx,y(x,y) dx

= ∫[0,1] ((x+y)/3) dx

= (1/3) ∫[0,1] (x+y) dx

= (1/3) [(x^2/2) + xy] [x=0 to 1]

= (1/3) [y + 1/2]

= (1/3)y + (1/6)

To find the conditional PDF of Y given X=x, we use the formula:

fy|x(y|x) = fx,y(x,y) / fx(x)

Substituting in the values from the problem, we get:

fy|x(y|x) = ((x+y)/3) / ((1/3)x + (1/6))

= (2/3) (x+y) / (x+1/2)

To find the conditional PDF of X given Y=y, we use the same formula:

\(fx|y(x|y) = fx,y(x,y) / fy(y)\)

Substituting in the values from the problem, we get:

fx|y(x|y) = ((x+y)/3) / ((1/3)y + (1/6))

= (2/3) (x+y) / (y+1/2)

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Answer:-12x

Step-by-step explanation:

just trust me on this

i think the answer might be 2948m^3

Answer:

6^5  * 9^5

Step-by-step explanation:

( 6*9) ^5

We know that ( ab) ^c = a^ c* b^c

6^5  * 9^5

Answer:

(2 x 10) x (2 x 6) x (2 x 7) = 3360ft³    <--    the den would be that
The volume:
10 x 6 x 7 = 420ft³       Volume = 8

Answer:

The explicit equation is \(\mathbf{a_n=5n+3}\)

Option A is correct option.

Step-by-step explanation:

Third term of sequence is 18

Sixth term of sequence is 33

We need to find the explicit equation for the sequence.

The explicit sequence is \(a_n=a_1+(n-1)d\)

We need to find a_1 the first term and common difference d

We have a₃=18

We can write it as: \(a_3=a_1+(3-1)d\\\)

\(18=a_1+2d\)

a₆=33

We can write it as: \(a_6=a_1+(6-1)d\\33=a_1+5d\)

Now, solving these equation s we can find value of d

\(18=a_1+2d\)

\(33=a_1+5d\)

Subtract both equations

\(18=a_1+2d\)

\(33=a_1+5d\)

\(--------\\-15=-3d\\d=\frac{-15}{-3}\\d=5\)

So, we get common difference d = 5

Now finding a_1

Put value of d in equation \(18=a_1+2d\)

\(18=a_1+2(5)\\18=a_1+10\\a_1=18-10\\a_1=8\)

So, we get a₁ = 12

Now, the explicit equation is:

\(a_n=a_1+(n-1)d\\a_n=8+(n-1)5\\a_n=8+5n-5\\a_n=5n+3\)

So, the explicit equation is \(\mathbf{a_n=5n+3}\)

Option A is correct option.

The linear pattern between Shops and Crimes is established through the visible increasing trend formed by data points within the scatterplot.

This is further reinforced by the noteworthy clustering of evidence along the least squares line, implying an undeniable relationship exists between the number of coffee shops and cases of reported property crime in these counties.

Moreover, the correlation coefficient, at 0.94, strongly accentuates the strong positive link that has been deduced between both external and internal variables. .

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