How many solutions y=5x-4 y=5x-5

Option D is the correct answer

The approximate value of the fifteenth term is 244.141 or it can also be written as 244 1/8.

The seventh term of a geometric sequence is 5 and the tenth term is 16.875. The given information shows that a=5 and a10=16.875.

We have to find a15. Since the sequence is geometric, therefore the common ratio (r) can be determined from this information as below; a10 = ar9 16.875 = 5r9 r = (16.875)/5r9 r = 1.25On substituting the values of a, r and n in the nth term formula of a geometric sequence,

we can determine the value of a15 as below; an = arn-1 a15 = 5 × (1.25)14 a15 = 244.140625So, the fifteenth term of the sequence is 244.140625 (approximately).

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Answer:

B. 4√5

Step-by-step explanation:

x bằng căn bậc hai của (8^2 + 4^2) theo định lý pytago, trong tam giác vuôn, c^2 = a^2 + b^2

The 95% confidence interval for the mean score of all oenology students is now [70.8, 74.2]. The test statistic increased to 6.05 and the p-value decreased to 6.03 x 10^(-9), the mean score of all oenology students is greater than 70.

The width of the 95% confidence interval for the mean score of all oenology students will decrease. The formula for the confidence interval is:

CI = X ± tα/2 * (s/√n)

where X is the sample mean, tα/2 is the critical value for the t-distribution with (n-1) degrees of freedom and α = 0.05, s is the sample standard deviation, and n is the sample size.

The test statistic for the hypothesis test will change. The formula for the t-test statistic is:

t = (X - μ) / (s/√n)

where μ is the hypothesized population mean (in this case, 70). As the sample size increases from 50 to 100, the standard error of the mean (s/√n) will decrease, which means the t-test statistic will increase in absolute value. The p-value will decrease because the larger sample size will make it easier to reject the null hypothesis.

If the null hypothesis is rejected with a p-value less than 0.05, the conclusion will be the same as before: there is evidence to suggest that the mean score of all oenology students is greater than 70. However, if the p-value is greater than 0.05, the conclusion will change to: there is insufficient evidence to suggest that the mean score of all oenology students is greater than 70.

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--The complete question is, A university offers an introductory course in oenology, the study of wine. Last year, a random sample of 50 students enrolled in the course were tested on their knowledge of wine, and the sample mean was found to be 72.5 with a standard deviation of 6.2. This year, the number of students enrolled in the course has increased to 100. Keeping all other numerical values the same, answer the following:

How will this change impact the 95% confidence interval for the mean score of all oenology students? Specifically, how will the width of the interval change, and will the conclusion of the interval estimate still be the same?

How will this change impact the hypothesis test to determine if the mean score of all oenology students is greater than 70? Specifically, how will the test statistic, p-value, and conclusion change?--

Answer:

\(2\frac{3}{4}\) pounds

Step-by-step explanation:

Maggie buys 1 1/2 pounds of walnuts, 8 ounces of pecans and 3/4 pounds of almonds.

To find the total weight of nuts that she buys, let us first put all the weights in a single unit, pounds.

She buys 8 ounces of pecans.

1 ounce = 0.0625 pounds

8 ounces = 8 * 0.0625 = 0.5 pounds = 1/2 pounds

Therefore, the total weight of nuts that she buys is:

\(1\frac{1}{2} + \frac{1}{2} + \frac{3}{4}\\ \\\frac{3}{2} + \frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}\)

The nuts weight \(2\frac{3}{4}\) pounds in all.

Answer:

the answer is 2 3/4 pounds

Step-by-step explanation:

A time series that shows a recurring pattern over one year or less is said to follow a seasonal pattern.

A seasonal pattern refers to a regular and predictable fluctuation in the data that occurs within a specific time period, typically within a year.  This pattern can be observed in various domains such as sales data, weather data, or economic indicators.

The fluctuations occur due to factors like seasonal variations, holidays, or natural cycles. Unlike a cyclical pattern, which has longer and less predictable cycles, a seasonal pattern repeats within a shorter time frame and tends to exhibit similar patterns each year.

Understanding and identifying seasonal patterns in time series data is important for forecasting, planning, and decision-making in various fields.

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For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.

A right triangle, right-angled triangle, or more formally an orthogonal triangle—previously known as a rectangled triangle—is a triangle with one angle that is a right angle (i.e., a 90-degree angle), meaning that two of its sides are perpendicular. The foundation of trigonometry is the relationship between the sides and other angles of a right triangle.

The hypotenuse is the side that faces the right angle (side c in the figure). Legs are the sides that are next to the right angle (or catheti, singular: cathetus). Side a can be thought of as the side that is adjacent to angle B and opposite to (or opposite) angle A, whereas side b is the side that is adjacent to angle A and opposite to angle B.

Given a right triangle with base = 8 and an angle = 24°

Using angle sum property of triangle

24 + 90 + angle L = 180

L = 66°

Using Sohcahtoa

Tangent: tan(θ) = Opposite / Adjacent

tan(24°) = LK/8

0.445 = LK/8

LH = 8 × 0.445

LK = 3.56

LM = \(\sqrt{MK^2 + LK^2}\)

LM = \(\sqrt{8^2 + 3.56^2}\)

LM = 8.75

Thus, For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.

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Superman's average rate is  50 meters per second. Every 12 second superman flies 600 meters. Superman is 900 meters from Lois.

To find Superman's average rate, we need to find the change in distance divided by the change in time:

Average rate = (change in distance) / (change in time)

From 6 seconds to 9 seconds, Superman travels a distance of 1800 - 1650 = 150 meters. So the change in distance is 150 meters, and the change in time is 9 - 6 = 3 seconds.

Average rate = (150 meters) / (3 seconds) = 50 meters per second

To find how far Superman flies in 12 seconds, we can use the average rate:

Distance = (average rate) x (time)

Distance = (50 meters per second) x (12 seconds) = 600 meters

To find how close Superman is to Lois after 21 seconds, we need to use the same formula again, using the new distance and time values:

Distance = (average rate) x (time)

From 6 seconds to 21 seconds, Superman travels a distance of 1800 - x, where x is the distance he is from Lois after 21 seconds. So the change in distance is (1800 - x) - 1800 = -x, and the change in time is 21 - 6 = 15 seconds.

Average rate = (-x meters) / (15 seconds) = -x/15 meters per second

We don't know the value of x yet, but we can use the average rate and the formula for distance to set up an equation:

x = (average rate) x (time) + initial distance

x = (-x/15 meters per second) x (15 seconds) + 1800 meters

Simplifying this equation gives:

x = 1800 / 2 = 900 meters

So after 21 seconds, Superman is 900 meters from Lois.

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Answer:

Step-by-step explanation:

The trigonometric function gives the ratio of different sides of a right-angle triangle.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

Given for ∠X, the base side is 7, the perpendicular side is 4√2, while the hypotenuse side is 9. Therefore, the value of the trigonometric ratios are:

\(\rm Sin X=\dfrac{4\sqrt2}{9}\\\\\\Cos X=\dfrac{7}{9}\\\\\\tan X=\dfrac{4\sqrt2}{7}\)

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Shoe Town provides the finest ultimate price, so Raven should purchase the boots there.

possessing an identical or consistent ratio or connection between two quantities: If y/x = k, in which k is the proportionality constant, then the numbers y and x are proportionate.

To determine which one is the best store for Raven let's calculate the price in each case.

Shoe Town

Total price:

Initial price - Mark down  + Sales tax

85.95 - 15% + 7.16 %

85.95 - 12.89 + 7.16 %

73.06 + 7. 16%

73.06 + 5.23 = 78.29

Lace Up

Total price:

Initial price - Mark down - Coupon + Sales tax

85.95 - 10% - 5 + 7.15%

89.95 - 8.99 - 5 + 7.15%

80.96 - 5 + 7.15%

75.96 + 7.15%

75.96 + 5.43 = 81.39

Run, Don't Walk

Total price:

Initial price + shipping

71.99 + 6.50 = 78.45

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Explanation

Step 1

to find the answer just replace the values for x and y

for x=3 and y =4

I hope this helps you

Answer:

Step-by-step explanation:

\(Step 1: The- equation- of -a- circle- with -center -at- (h,k)- and- a -radius- of- r- is:\\(x-h)^2+(y-k)^2=r^2\\In -this -question ,h=3, k=1 and r=2, so- after- substituting- into- above -formula- we- get:\\(x-3)^2+(y-1)^2=2^2\\(x-3)^2+(y-1)^2 = 4\\ x^2-6x+9+y^2 -2y+1-4=0\\x^2-6x+y^2-2y+6=0\)

The resulting curve is a limaçon (a type of cardioid) with a loop. It is centered at the origin and has an inner loop with a radius of 4/5 and an outer loop with a radius of 8/5. The curve has symmetry about both the x-axis and the y-axis. Option C is Correct.

To convert the equation R = -8 cos(θ) + 4 sin(θ) to Cartesian coordinates, we can use the following equations:

x = R cos(θ)

y = R sin(θ)

Substituting the given equation, we get:

x = (-8 cos(θ) + 4 sin(θ)) cos(θ)

y = (-8 cos(θ) + 4 sin(θ)) sin(θ)

Simplifying these equations, we get:

x =\(-8 cos^2\)(θ) + 4 cos(θ) sin(θ)

y = -8 cos(θ) sin(θ) +  \(4 sin^2\)(θ)

Simplifying further using the identity we get:

x = -8/5 + 4/5 cos(2θ)

y = 4/5 sin(2θ)

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Answer:

(-9)(3) = -27

(-9)(-3) = 27

Step-by-step explanation:

A negative multiplied by a positive is always a negative.

A negative multiplied by a negative is always a positive.

No Problem, please mark me as Brainliest if you will.

Answer:

x = 16

Step-by-step explanation:

I'm not too sure but what I remember is the small triangle is upscale times 4. so 5x4= 20 3x4=12 and that would mean 4x4 = 16. so x will equal 16.

Answer:

Step-by-step explanation:

Precision is defined as the ratio of true positives (TP) to the total predicted positives (TP + FP). In this case, the confusion matrix shows 46 TP and 4 FP, so the precision can be calculated as:

precision = TP / (TP + FP) = 46 / (46 + 4) = 0.92

Rounding to 2 decimal places, the precision ratio is 0.92.

The upper specification limit is 2.520 mm, and the lower specification limit is 2.480 mm.  The process is not capable according to the purchaser's requirement of a capability index of 1.50.

(a) The upper specification limit (USL) is calculated by adding the process mean (2.500 mm) to the upper tolerance (0.020 mm), resulting in 2.520 mm. The lower specification limit (LSL) is calculated by subtracting the lower tolerance (0.020 mm) from the process mean, resulting in 2.480 mm.

(b) The process capability index (Cp) is calculated by dividing the tolerance width (USL - LSL) by six times the standard deviation. In this case, the tolerance width is 0.040 mm (2.520 mm - 2.480 mm) and the standard deviation is 0.004 mm. Therefore, Cp = 0.040 mm / (6 * 0.004 mm) = 1.25.

(c) The purchaser requires a capability index (Cpk) of 1.50, which measures how well the process meets the specification limits. Since Cp (1.25) is less than the desired Cpk (1.50), the process is not capable according to the purchaser's requirement. It is not good enough for the supplier either, as the Cp is less than the desired level.

(d) If the process mean were to drift to 2.497 mm, the Cp value would remain the same at 1.25. Since the Cp value is still less than the desired Cpk of 1.50, the process would still not be good enough for the supplier's needs, even with the changed process mean.

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A restaurant manager is looking to set up a buffet for weekend lunch. The chef offered a list of six possible appetizers, three possible salads, nine possible entrees, and five possible desserts. How many ways can the manager select three appetizers, two salads, four entrees, and one dessert?

Assume that the manager is merely selecting the items for the buffet and not arranging them in any specific order. The number of ways the manager can select the required items is calculated by multiplying the number of ways they can select each category. Using the multiplication principle, the answer is given by:

ways = number of ways to select appetizers * number of ways to select salads * number of ways to select entrees * number of ways to select dessert

ways = \((6 C 3) * (3 C 2) * (9 C 4) * (5 C 1)where n Cr = n! / r! * (n-r)!\)

Using the combination formula, we get:

ways = \((6 * 5 * 4 / (3 * 2 * 1)) * (3 * 2 / (2 * 1)) * (9 * 8 * 7 * 6 / (4 * 3 * 2 * 1)) * (5)\)

ways = \((20) * (3) * (126) * (5)ways = 37800\)

The manager can select three appetizers, two salads, four entrees, and one dessert in 37,800 ways.

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According to probability, total number of handshakes will be 36.

Handshakes equal n * (n - 1)/2. This is the case because a handshake between two people is not counted twice and each of the n people can shake hands with n - 1 people (they wouldn't shake their own hand). Any number of people can be calculated using this formula.

The first person will need to shake eight (8) people's hands. Only seven (7) hands will need to be shook by the second person because the first handshake will not be repeated. Due to the same factors as mentioned above, only six (6) people will require a handshake from the third person. This continues until the final person has no one left to shake hands with because everyone has already done so.

The formula to calculate how many handshakes were exchanged is n = 8 + 7 + 6 +... + 1 = 36.

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Answer:

D. 16, 9, 8

Step-by-step explanation:

sum of any two sides of triangles must be greater than the third side

only the fourth option follows this rule

Answer:

what line??

Step-by-step explanation:

Answer: 48ft cubed (48ft^3)

Steps:

Volume- lwh

8 * 3 * 2

24 * 2 = 48

48ft^3 (48 feet cubed)

Answer:

Triangle ABC is congruent to triangle DFE.

Answer:

Length of ab = 10 units

Step-by-step explanation:

X1 = -2, X2 = -8

Y1 = -4, Y2 = 4

\(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} } \\\sqrt{(-8 -(-2))^{2} + (4-(-4))^{2} } \\\sqrt{(-8+2)^{2} + (4+4)^{2} } \\\sqrt{6^{2} +8^{2}} \\\sqrt{36+64} \\\sqrt{100} \\10\)

Answer:

x = 25

y = 6

Step-by-step explanation:

< B = < M

2x - 20 = 30

2x = 50

x = 25

AB = LM

7y - 8 = 2y + 22

5y = 30

y = 6

Answer: x = 5

Step-by-step explanation:

4x + 4 + 4x = 7x + 39

-4x - 4x + 7x = 39 - 4

  7x = 35

x= 35 divided by 7 = 5

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Answer:

i can np

Step-by-step explanation: