Factorise (x+3)(x+3)

Farm Joe used \(7\frac{6}{15}\) kg of soil in this month.

The total weight of soil that Farm Joe ordered was:

3 bags x 4 2/5 kg/bag = 12 6/15 kg = 12 2/5 kg

The weight of the first bag used was 4 2/5 kg.

The weight of the second bag remaining is 2 3/4 kg.

The weight of the third bag remaining is 7/8 kg.

The total weight of soil used in this month can be found by subtracting the weight of the second and third bags remaining from the total weight of soil ordered:

12 2/5 kg - 2 3/4 kg - 7/8 kg

Converting all fractions to fifteenths:

12 8/15 kg - 5 1/15 kg - 1/15 kg = 7 6/15 kg

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To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

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Answer:

fghjgfvgh

yguhyu

Step-by-step explanation:

Answer:

frank traveled 2760-1400 = 1360 miles

traveled 16 hours

This means he drove: 1360 miles / 16 hours = 85 miles per hour.

The approximate speed of a vehicle that left a skid mark measuring 100 feet is 47.63 miles per hour

Given the formula:

0.75d = s² / 30.25

Where,

d = length of the vehicle’s skid marks in feet = 100 feet

s = speed in miles per hour

Substitute d = 100 feet into the equation

0.75d = s² / 30.25

0.75(100) = s² / 30.25

75 = s² / 30.25

cross product

75 × 30.25 = s²

2,268.75 = s²

find the square root of both sides

s = √2,268.75

s = 47.63 miles per hour

Ultimately, 47.63 miles per hour is the approximate speed of the vehicle.

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Answer:

y=1.75 that’s the unit or you can say the constant so I can do 1.75+1.75 and I would get 3.50

Step-by-step explanation:

Answer:

y < 2x -3

Step-by-step explanation:

Answer:

OPTION D, IS THE CORRECT ANSWER IN BOTH

Answer:

24 mill

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

Then you know:

Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.95 + 0.98 -0.94

P(A∪B)= 0.99= 99%

Finally, the probability that the smoke will be detected by either a or b or both is 99%.

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Answer:

The four true statements are:

1. If an angle is a right angle,  it measures 90°.

2. If an angle measures 90°, it is a right angle.

3. If an angle is not a right angle,  it does not measure measure 90°.

4. If an angle does not measure 90°, it is not a right angle.

Step-by-step explanation:

Given the biconditional statement:

An angle is a right angle if and only if it measures 90°.

To find:

Four true conditional statements.

Solution:

First of all, let us the learn the concept of four true conditional statements from a given biconditional statement.

Let the biconditional statement be "\(a\) is true if and only if \(b\) is true.

Then the four true statements can be written as:

1. If \(a\) is true then \(b\) is true.

2. If \(b\) is true then \(a\) is true.

3. If \(a\) is false then \(b\) is false.

4. If \(b\) is false then \(a\) is false.

Here \(a\) is "an angle is a right angle"

\(b\) is "it measures 90°" .

So, the four true statements are:

1. If an angle is a right angle,  it measures 90°.

2. If an angle measures 90°, it is a right angle.

3. If an angle is not a right angle,  it does not measure measure 90°.

4. If an angle does not measure 90°, it is not a right angle.

Answer:

2

Step-by-step explanation:

The absolute value of a positive is that same number

For example the absolute value of 4 is 4

The absolute value of a negative is that same number without the negative sign.

For example, the absolute value of -4 is 4

Answer:    \(\frac{x^9}{3}\) - \(\frac{7x^4}{5}\) + 9x + C

Step-by-step explanation:

1. Seperate equation

= 3∫x^8dx - 7∫x^4dx + 9∫1dx

2. Solve ∫x^4dx; apply power rule: ∫x^ndx = x^n+1/n+1, where n=8

= x^9/9

3. Solve ∫x^4dx; apply power rule where n=4

= x^5/5

4. Solve ∫1dx; apply constant rule: ∫kf(x)dx = k∫f(x)dx

= x

5. Sub in solved integrals

3∫x^8dx - 7∫x^4dx + 9∫1dx

= \(\frac{x^9}{3}\) - \(\frac{7x^4}{5}\) + 9x

Answer: -3x/8 - 1/4

Hope this helps, good luck!

The proportion of variability in gross revenue that can be explained by the estimated multiple regression equation is 0.910. Adjusting for the number of independent variables, the proportion of variability that can be explained is 0.858.

R-squared (R2) measures the proportion of variability in the dependent variable that can be explained by the independent variables in the regression model. In this case, R2 is calculated by dividing SSR (sum of squares regression) by SST (total sum of squares): R2 = SSR/SST. Therefore, R2 = 23.395/25.8 = 0.910, which means that 91% of the variability in gross revenue can be explained by the two independent variables (television and newspaper advertising) in the model.

However, as the number of independent variables in the model increases, R2 tends to overestimate the proportion of variability that can be explained by the model. Therefore, an adjusted R2 (Ra2) is used to account for the number of independent variables in the model. Ra2 is calculated by subtracting the residual mean square (MSE) from 1 and multiplying by (n-1)/(n-k-1), where n is the sample size and k is the number of independent variables in the model. Therefore, Ra2 = (1 - MSE/SST) x (n-1)/(n-k-1) = (1 - 1.436/25.8) x (8-1)/(8-2-1) = 0.858, which means that after adjusting for the number of independent variables, 86% of the variability in gross revenue can be explained by the two independent variables in the model.

Therefore, the estimated multiple regression equation is a good fit for the data and can explain a large proportion of the variability in gross revenue, even after adjusting for the number of independent variables in the model

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Answer:

Step-by-step explanation:

r = 50

Circumference = 2πr

                          \(= 2 * 3.14 * 50\\\\= 314 \ ft\)

Answer:

1. \(5^{7}\)

2. 300

3. 100

4. 1.24 x \(10^{7}\)

5. 28,700

Answer:

=5·14+5·14+5·14+1  2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54- SQUARED

≈231.65064

Step-by-step explanation:

Answer:

550x100

Step-by-step explanation:

First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The warranty period should be 37.6 months to ensure that the company doesn't have to replace more than 2% of the total machines sold due to malfunctioning.

To solve this problem, we need to use the concept of deviation again. We know that the standard deviation of the PYQ machines is 8 months. Therefore, we can use the z-score formula to calculate the number of standard deviations from the mean that corresponds to the 2% malfunction rate. The z-score is calculated as:

z = (x - μ) / σ

where x is the value we want to find, μ is the mean, and σ is the standard deviation. In this case, we want to find the warranty period (x) that corresponds to a malfunction rate of 2%. The mean is 54 months, and the standard deviation is 8 months. Therefore, we can rearrange the formula as:

z = (x - 54) / 8

We want to find the z-score that corresponds to the 2% malfunction rate. We can use a standard normal distribution table to find the z-score that corresponds to a cumulative probability of 0.02. The z-score turns out to be -2.05.

Now that we know the z-score, we can solve for x:

-2.05 = (x - 54) / 8

-16.4 = x - 54

x = 37.6

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

x=8

Step-by-step explanation:

the variable by dividing each side by factors that don't contain the variable.

x=8

Answer:

x=7

Step-by-step explanation:

lx-7l+9=9

lx-7l=0 (Canceled the equal terms on both sides of the equation)

x-7=0

x=7

Most likely I have scored 375 3-point darts.

The expected (mean) value of the total points is as follows, with a 50% chance of scoring 1-point darts and the same for 3-point darts:50 percent of the 500-point darts score and 50 percent of the 500-point darts score. The anticipated number of points is 1 point multiplied by 1/2 (500) times 3 points yielding 1000 points.

The equality of distribution between the 1-point and 3-point scoring indicates that you scored 1500/1000, or 1.5 times the means, assuming that you actually scored 1500 points in total. That indicates that 1500 points are equal to 1.5 (.5) 500 (1 point) plus 1.5 (.5) 500 (3 points). Therefore, you scored 1.5 (.5) 375 3-point dart hits.

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To find the probability that a wait time will last between 4 minutes and 5 minutes, we need to calculate the integral of the probability density function (PDF) over that interval.

The probability density function (PDF) is given as f(t) = Ze^(-0.5t), where t represents the wait time in minutes. The constant Z can be determined by ensuring that the PDF integrates to 1 over its entire range. To find Z, we need to integrate the PDF from 0 to infinity and set it equal to 1:

∫[0 to ∞] (Ze^(-0.5t) dt) = 1.

Solving this integral equation, we find Z = 0.5.

Now, to find the probability that the wait time will last between 4 minutes and 5 minutes, we need to calculate the integral of the PDF from 4 to 5:

P(4 ≤ t ≤ 5) = ∫[4 to 5] (0.5e^(-0.5t) dt).

Evaluating this integral will give us the desired probability.

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The probability that it also rained that day is to be considered as the 0.30 and the same is to be considered.

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

The probability that the temperature is lower than 80°F and it rained can be measured by determining the number at the intersection of a temperature that less than 80°F and rain.

So, This number is 0.30.

Hence, we can say that it was less than 80°F on a given day, the probability that it also rained that day is 0.30.

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The above question is incomplete.

The conditional relative frequency table was generated using data that compared the outside temperature each day to whether it rained that day. A 4-column table with 3 rows titled weather. The first column has no label with entries 80 degrees F, less than 80 degrees F, total. The second column is labeled rain with entries 0.35, 0.3, nearly equal to 0.33. The third column is labeled no rain with entries 0.65, 0.7, nearly equal to 0.67. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Given that it was less than 80 degrees F on a given day, what is the probability that it also rained that day?

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Answer: Its 0.3 so the first one

Step-by-step explanation:

Im 101% sure

Answer:

38

Step-by-step explanation:

:) hope this helps

y=-5x

Step-by-step explanation:

c) It would be larger, because higher confidence requires a larger margin of error.

When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.

To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.

Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.

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Answer:

195.65

Step-by-step explanation:

Answer:

100%-29% = 71%

568/0.71 = 800

price was $800

Step-by-step explanation:

If I'm wrong I'm sorry

If I'm right Thank you and (Brainliest plz )

Answer:

C. 9/8

Step-by-step explanation:

\( \frac{6}{8} \div \frac{8}{12} \)

Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:

\( \frac{6}{8} \times \frac{12}{8} \)

multiply the numerator together:

6 × 12 = 72

multiply the denominator together:

8 × 8 = 64

now the fraction is:

\( \frac{72}{64} \)

simplify further by dividing both numbers by 8:

72 ÷ 8 = 9

64 ÷ 8 = 8

so the fraction is 9/8