Mr. Lance designed a class banner shaped like a polygon shown what is the name of the polygon

Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

Answer:

y= -1/3x + 1

Step-by-step explanation:

y = mx + c

y = gradient(x intercept) + y intercept

y= -1/3x + 1

Given

What number comes next in the sequence?

16, 8, 4, 2, 1, ?

Solution

This is a Geometric sequence, we need to find the common ratio

The formula for the common ratio is

Now

The final answer

The value of x + y is  (xy -115)/4 .

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

given expression is ,

3x + 2y + xy = 115 + 7x + 6y

so, we have to find the value of x + y

take the value of x and y at one side ,

xy = 7x + 6y - 3x - 2y +115

xy = 4x + 4y + 115

take the integer on other side,

4x + 4y = xy -115

take 4 common from left hand side,

4( x + y) = xy - 115

x + y = (xy -115)/4

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Answer:

quotient=3/4

Step-by-step explanation:

Flip the 2nd fraction

1/2 divided by 2/3

2/3=3/2

Now multiply!

1/2x3/2=

3/4

(3800 ÷ 1000) kg

= 3,8 kg

(3 ÷ 4)kg × 1000

= 0.75 × 1000

= 750 g

(7470 ÷ 1000) kg

= 7,47 kg

\( \)

a. Null hypothesis (H0): The population mean tread wear index is equal to 200. Alternative hypothesis (Ha): The population mean tread wear index is different from 200.

b. The test statistic (t) is calculated using the formula t = (198.8 - 200) / (21.4 / sqrt(18)).

c. At alpha = 0.05, if the absolute value of the test statistic (|t|) is greater than the critical value (±2.101), we reject the null hypothesis.

d. The 95% confidence interval for the population mean tread wear index is constructed using the formula 198.8 ± (2.101 * (21.4 / sqrt(18))). If the interval includes 200, it supports the conclusion that there is no evidence of a difference in the population mean.

a. The null hypothesis (H0): The population mean tread wear index is equal to 200.

The alternative hypothesis (Ha): The population mean tread wear index is different from 200.

b. To determine the test statistic, we can use the t-test since the population standard deviation is unknown. The formula for the t-test statistic is given by:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values:

Sample mean (\(\bar{x}\)) = 198.8

Hypothesized mean (μ) = 200

Sample standard deviation (s) = 21.4

Sample size (n) = 18

t = (198.8 - 200) / (21.4 / √(18))

c. To determine the conclusion, we need to compare the computed test statistic (t) with the critical value from the t-distribution table. Since the alternative hypothesis is two-sided (population mean can be greater or less than 200), we need to consider the critical values for a two-tailed test.

Using the t-distribution table or statistical software, we find that with a sample size of 18 and a significance level of 0.05, the critical values for a two-tailed test are approximately ±2.101.

If the absolute value of the computed test statistic (|t|) is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

d. To construct a 95% confidence interval, we can use the formula:

Confidence Interval = sample mean ± (critical value * (sample standard deviation / √(sample size)))

Plugging in the values:

Sample mean (\(\bar{x}\)) = 198.8

Sample standard deviation (s) = 21.4

Sample size (n) = 18

Critical value for a 95% confidence level = ±2.101

Confidence Interval = 198.8 ± (2.101 * (21.4 / √(18)))

If the confidence interval contains the hypothesized mean of 200, it supports the conclusion that there is no evidence to suggest that the population mean tread wear index is different from 200. If the confidence interval does not include 200, it contradicts the conclusion and suggests that the population mean is different from 200.

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Answer:

y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)

Step-by-step explanation:

all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)

If a is positive then the parabola opens up,

the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises

the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis

The most appropriate model for this situation is b) exponential growth.

The given scenario of a disease spreading through a population, where each infected person transmits the disease to two people every day, suggests exponential growth. Therefore, the most appropriate model for this situation is b) exponential growth.

In exponential growth, the number of infected individuals increases at an accelerating rate over time. Each infected person infects a constant number of new individuals, resulting in a doubling effect. In this case, each infected person transmitting the disease to two new people every day leads to a doubling of the infected population each day.

Initially, there are 4 hosts with the disease, and each day the number of infected individuals doubles as new infections occur. The growth rate is not limited or slowed down by factors such as recovery or immunity, indicating that the population is experiencing uncontrolled growth without restrictions.

On the other hand, linear growth (a) would imply a constant increase in the number of infected individuals, exponential decay (c) would suggest a gradual decrease in the number of infected individuals, and logistic growth (d) would involve a growth pattern that initially resembles exponential growth but then levels off as it reaches the carrying capacity of the population. However, based on the given information, exponential growth best describes the situation of the disease spreading through the population.

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Answer:The amounts of the three parts of the investment are:

x = $14,072.73

y = $3,127.27

z = $24,800

Step-by-step explanation:

Let's assume that the first part of the investment is x.

Then the second part of the investment is y and the third part of the investment is z.

We know that the total investment is $42,000. Therefore:

x + y + z = 42,000

We also know that the total interest earned is $3,480. Therefore:

0.08x + 0.06y + 0.09z = 3,480

Finally, we know that the interest earned from the first investment is 6 times the interest earned from the second investment. Therefore:

0.08x = 6(0.06y)

0.08x = 0.36y

x = 4.5y

Now we can substitute x = 4.5y into the first equation:

4.5y + y + z = 42,000

5.5y + z = 42,000

We can also substitute x = 4.5y into the second equation:

0.08(4.5y) + 0.06y + 0.09z = 3,480

0.36y + 0.06y + 0.09z = 3,480

0.42y + 0.09z = 3,480

Now we have two equations with two variables. We can solve for y in the first equation:

5.5y + z = 42,000

5.5y = 42,000 - z

y = (42,000 - z)/5.5

We can substitute this expression for y into the second equation:

0.42y + 0.09z = 3,480

0.42((42,000 - z)/5.5) + 0.09z = 3,480

Simplifying this equation, we get:

3,818.18 - 0.07636z + 0.09z = 3,480

0.01364z = 338.18

z = 24,800

Now we can use this value of z to find y:

5.5y + z = 42,000

5.5y + 24,800 = 42,000

5.5y = 17,200

y = 3,127.27

Finally, we can use the values of y and z to find x:

x = 4.5y

x = 4.5(3,127.27)

x = 14,072.73

Answer:

50% is water

Step-by-step explanation:

1. 80% is water and 20% is from other material

2. Lets say a fruit has 100g, to make it easier to understand

2. if the fruit loses 75% of its water, it will lose 75% of 80%, which is 60% of the total weight or 60g lost. The fruit is now 40g

3. If 20% was other material (20g), now other material is 50% (the same 20g)

4. Water is now only 20g, which is 50% of the total weight

Answer:

50% is water I think I am really sorry I I is wrong

R-squared is calculated as the square of the linear correlation coefficient (r). In this case, the linear correlation coefficient is 0.817, so the R-squared can be calculated as follows:

R-squared = r^2 = 0.817^2 = 0.67

R-squared measures the proportion of variation in the dependent variable that is explained by the independent variable in a regression analysis. A value of R-squared close to 1 indicates that a large proportion of the variation in the dependent variable is explained by the independent variable, while a value close to 0 indicates the opposite.

In this case, a value of 0.67 for R-squared indicates that 67% of the variation in the dependent variable is explained by the independent variable, while the remaining 33% is unexplained.

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Answer:

Is -15

Step-by-step explanation:

The given equation is a combined variation.

We have been given an equation is

\(\frac{xy}{z}\)

This is an equation in which we have three variables and one constant.

This can not be the case of direct or inverse variation because in direct or inverse variation we have only two variables. Whereas, here we have three variables.

So, Direct and inverse options are discarded.

So, either It can be joint or combined

In joint variation both the variables are directly proportional

Hence, given equation is not joint because if we rewrite the equation we will get \(y = \frac{cz}{x}\) both the variables are not directly proportional.

In combined, one variable is directly proportional and the other one is inversely proportional.

From \(y = \frac{cz}{x}\)  we can see that z is directly proportional and x is inversely proportional.

Hence the answer is, the given equation is combined variation.

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1. The congruent angles are ;

a. angle T and angle Q

b. angle U and angle S

c. angle R

2. The figures are similar and the scale factor is 1/2

Similar triangles are triangles that have the same shape, but their sizes may vary. The ratio of corresponding sides of similar triangles are equal.

In a similar triangle, The corresponding angles are equal. Therefore ;

angle T and angle Q

angle U and angle S

angle R = angle R

2. The two triangles are equal because the corresponding angles are equal.

Therefore scale factor = new dimension /old dimension

scale factor = 12/24

= 1/2

therefore scale factor = 1/2

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A rectangle is a four-sided geometric shape with opposite sides that are parallel and equal in length. The opposite sides are called the length and width of the rectangle. Area = (30m - 0.5m) x (40m - 0.5m) = 29.5m x 39.5m = \(1162.75 m^2\)

a. The maximum area of turf that Toby needs to buy can be found by using the measurements given by James, which are the length and width of the rectangle.

The area of a rectangle is found by multiplying its length and width, so the maximum area of turf needed would be:

Area = length x width = 30m x 40m = \(1200 m^2\)

b. The minimum area of turf that Toby needs to buy can also be found by using the measurements given by James, but this time taking into account the margin of error due to the measurements being given to the nearest metre.

If the true length and width of the rectangle are slightly less than the measurements given by James, the mini  mum area of turf needed would be:

Area = (30m - 0.5m) x (40m - 0.5m) = 29.5m x 39.5m = \(1162.75 m^2\)

So the minimum area of turf that Toby needs to buy would be \(1162.75 m^2\)and the maximum area of turf that Toby needs to buy would be \(1200 m^2.\)

In general, the measurements given by James could be off by half a meter in both directions, therefore the minimum area of turf that Toby needs to buy would be the area calculated by taking into account the margin of error, in this case, it's \(1162.75 m^2.\)

The maximum area of turf that Toby needs to buy would be the area calculated using the measurements given by James, which is \(1200 m^2.\)

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Answer:

The two triangles are similar.

What is the value of x?

Enter your answer in the box.

x=

The value of x is 7 units.

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given :

AD = 6 units , BD = 8 units, m∠ABC = m∠DBE = 90° and              

∠DEB ≅ ∠ACB

Now, AB = AD + BD

              = 8 + 6 = 14 units

Now, In ΔABC and ΔDBE,

∠DBE = ∠ABC ( Each of 90° )

∠DEB = ∠ACB ( given )

So, By using AA postulate of similarity of triangles , ΔABC ~ ΔDBE

Now, proportion of the corresponding sides will be equal.

AD/ DB= BC/ BE

14/8 = 3x/ 2x-2

4x= 28

x= 7

Hence, the value of x is 7 units.

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Answer:

(-3,-2,-1,1,2,3,4]

Step-by-step explanation:

All x values. Put the bracket and ( as well.

Answer:

40 degrees

Step-by-step explanation:

If the angle is split into 2 angles, each measuring 20 degrees, then the original angle measures 20(2)=40 degress.

The standard deviation of the sampling distribution of the difference in sample means x Overbar Subscript A Baseline minus x Overbar Subscript B Baseline) is 0.484. The correct option is (b) mean = 35; SD = 5.9.

The sampling distribution of the difference in sample means x Overbar Subscript A Baseline minus x Overbar Subscript B Baseline) has a mean of 35 and standard deviation of 5.9.

Given, An SRS of size 150 is taken from Population A with mean 125 and standard deviation 20. An independent SRS of size 200 is taken from Population B with mean 90 and standard deviation 15.

We need to find the mean and standard deviation of the sampling distribution of the difference in sample means x Overbar Subscript A Baseline minus x Overbar Subscript B Baseline) of population A and population B.

The mean of the sampling distribution of the difference in sample means is:

μ (x Overbar Subscript A Baseline - x Overbar Subscript B Baseline)

= μ (x Overbar Subscript A Baseline) - μ (x Overbar Subscript B Baseline)

= 125 - 90

= 35

The standard error is given by:σ(x Overbar Subscript A Baseline - x Overbar Subscript B Baseline)

= sqrt [σ^2(x Overbar Subscript A Baseline) / n Subscript A Baseline + σ^2(x Overbar Subscript B Baseline) / n Subscript B Baseline]σ(x Overbar Subscript A Baseline - x Overbar Subscript B Baseline)

= sqrt [(20)^2 / 150 + (15)^2 / 200]σ(x Overbar Subscript A Baseline - x Overbar Subscript B Baseline)

= sqrt [(400 + 225) / (150 * 200)]σ(x Overbar Subscript A Baseline - x Overbar Subscript B Baseline)

= sqrt (0.0075)σ(x Overbar Subscript A Baseline - x Overbar Subscript B Baseline)

= 0.0868

≈ 0.09

Therefore, the sampling distribution of the difference in sample means x Overbar Subscript A Baseline minus x Overbar Subscript B Baseline) has a mean of 35 and standard deviation of

0.09 * 65 ≈ 5.9.

Thus, the correct option is (b) mean = 35; SD = 5.9.

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13 is the value of z from the given figure.

The properties of the triangle are:

From the given figure,

∠ABE + ∠EBC =. 180

∠EBC = 180- ∠ABE

∠EBC = 180 - 9z -----(1)

∠ECB + 115 = 180

∠ECB = 65-----(2)

IN ∆EBC

∠BEC + ∠ECB + ∠EBC = 180

4Z + 180- 9Z + 65 = 180 ---------(from eq i & ii)

-5Z = -65

Z = -65/-5y

Z = 13

The value of z from the given figure is 13.

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Complete question:

Answer:

27

Step-by-step explanation:

643-166=477

477÷18=26.5

Then, round to the nearest whole.

Which makes it 27 sets.

the correct balanced equation and the concentrations or pressures of the reactants and products at equilibrium, I can assist you in calculating Kp.

To determine the value of Kp for the equation C(s) + CO2(g) ⇌ 2CO(g), we need to know the balanced equation and the corresponding equilibrium expression.

However, the equation you provided (C(s) + 2H2O(g) ⇌ CO2(g) + 2H2(g)) is different from the one mentioned (C(s) + CO2(g) ⇌ 2CO(g).

Therefore, we cannot directly calculate Kp for the given equation.

If you provide the correct balanced equation and the concentrations or pressures of the reactants and products at equilibrium, I can assist you in calculating Kp.

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The tool that ensures greater accuracy by aligning the numbers scale with the edges or points to be measured is a Vernier caliper.

A Vernier caliper is a tool used to accurately measure small lengths, widths, and diameters with precision. It has two parts: an outer frame and a sliding vernier scale. The frame is used to place the object to be measured, while the vernier scale is moved along the frame to measure the object's length.

The graduations on the vernier scale are smaller than the main scale graduations, allowing for more precise measurements to be made. This makes the Vernier caliper a more accurate measuring tool than a standard ruler or tape measure.

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Answer:

Step-by-step explanation:

im not sure but i think that you can either say theat you can turn the freaction into a percentage or turn the percentage into a fraction and then you can start comapring them  i hope it helps?

Answer:

first the fraction should be converted in percent.

later both the percent can compared..

The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)

And, the total number of ways of  getting exactly one face cards

= \(^{12} C_{1} \times ^{40} C_{1}\)  + \(^{40} C_{1} \times ^{12} C_{1}\)

= 2\(^{40} C_{1} \times ^{12} C_{1}\)

Therefore, the probability of getting exactly one face card

= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)

\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)

\(= \frac{2(40\times 12)}{26\times 51}\)

\(=\frac{2\times 480}{1326}\)

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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