In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x. ​

Answer:

y=3x⇒equation 1

substitute equation 1 in 3x+y=12

3x+3x=12

6x=12

x=12/6

x=2

hope it helps u!

When a 666-sided fair die is rolled, then the probability of rolling greater than 4 is  0.9940 or 99.40%.

Given that the die is fair and has 666 sides. So, each face of the die will have a probability of 1/666, i.e.,

p(1) = p(2) = ... = p(666) = 1/666.

The probability of rolling greater than 4 is P(roll greater than 4), which is the sum of the probabilities of rolling a 5, 6, 7, 8, 9, ..., 666. So,

P(roll greater than 4) = p(5) + p(6) + p(7) + ... + p(666)

P(roll greater than 4) = (1/666) + (1/666) + (1/666) + ... + (1/666)

(There are 661 terms)P(roll greater than 4) = 661(1/666)

P(roll greater than 4) = 0.9940 (rounded to four decimal places)

Hence, the probability of rolling greater than 4 is 0.9940 or 99.40%.

Alternatively, the probability of rolling greater than 4 is

   1 - P(roll less than or equal to 4)P(roll greater than 4)

= 1 - P(roll less than or equal to 4)P(roll greater than 4)

= 1 - (p(1) + p(2) + p(3) + p(4))P(roll greater than 4)

= 1 - (4/666)P(roll greater than 4)

= 1 - 0.0060P(roll greater than 4)

 = 0.9940 (rounded to four decimal places)

Hence, the probability of rolling greater than 4 is 0.9940 or 99.40%.

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Answer:

\(x = 4\sqrt{3}\)

Step-by-step explanation:

The triangle is right-angled

In a right-angled triangle, the following equality holds

\(\tan x = \dfrac{\text{Side Opposite x}}{\text{Side adjacent to x}}\\\\\tan 30 = \dfrac{4}{x}\\\\\)

\(\tan 30 = \dfrac{1}{\sqrt{3}}\\\\\dfrac{1}{\sqrt{3}} = \dfrac{4}{x}\\\\\)

Cross multiply:
\(1 \times x = 4 \times \sqrt{3}\\\\x = 4\sqrt{3}\)

The 99% confidence interval for the population mean is (64.67, 83.25).

The 99% confidence interval for the population mean of the heights of the tomato plants can be found using the file seedlings height. jmp (found on canvas under files).

The phrase "Confidence Interval" refers to the range of values that is typically used to handle population-based data, extracting precise, important information with a given level of confidence.

Using the data from the file, the confidence interval can be calculated using the formula:

Mean - (2.575 × Standard Error), Mean + (2.575 × Standard Error).

With the mean being 73.96 and the standard error being 4.25, the 99% confidence interval for the population mean is (64.67, 83.25).

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The population density of Norway is 14.31 people per square kilometer.

What is Density?

Density is a  property of matter that describes how much mass is contained in a given volume. It is a measure of the amount of matter (mass) per unit of volume.

The formula for density is:

Density = Mass / Volume

Where:

Mass is the amount of matter in an object, usually measured in grams (g) or kilograms (kg).

Volume is the amount of space that an object occupies, usually measured in cubic meters (m³), cubic centimeters (cm³), or liters (L).

To find the population density of Norway, we need to divide the total population by the total area:

Population density = Population / Area

Population density = 4,707,270 / 328,802

Population density = 14.31 (rounded to the nearest hundredth)

Therefore, the population density of Norway is 14.31 people per square kilometer.

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Answer:

B.) 55 degrees

Step-by-step explanation:

Angle 4 is complementary to angle 5.

The two triangles with these two angles inside are congruent.

So angle 5 is congruent to the given angle of 35 degrees.

Thus,

90 = 35 - x

X = 90 - 35

X = 55

Answer: 55

Step-by-step explanation:

Therefore, the linear speed of the wheel on a bike is approximately 0.9π miles per hour.

The pace at which an object travels a specific distance in a predetermined amount of time is known as linear speed. By dividing the distance traveled by the time it takes to cover that distance, it may be used to determine how rapidly an item is travelling in a straight line. For instance, if a car moves 100 meters in 10 seconds, its linear speed is 10 meters per second. Linear speed is distinct from average speed, which takes into account any variations in velocity or direction throughout the duration of a voyage. Linear speed is also distinct from tangential speed, which is the pace at which an item travels along a circular route. Physics' fundamental idea of linear speed.

How to solve?

C=2πr,

C=2π(19)=38π.

linear speed of v=(38π/60)*5280=33.6π feet per second.

final speed of v=(33.6π/3600)*60=0.9π miles per hour.

Therefore, the linear speed of the bike is approximately 0.9π miles per hour.

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The length of the minor arc AB is approximately 17 cm.

To calculate the length of the minor arc AB in the given minor sector of the circle, we need to determine the central angle of the sector and use it to find the corresponding fraction of the total circumference of the circle.

We are given that the circumference of the circle is 85 cm. The entire circumference of a circle is 360 degrees. Therefore, to find the length of the minor arc AB, we need to calculate the fraction of the circumference represented by the central angle of 72 degrees.

To find this fraction, we can set up a proportion:

72 degrees is to 360 degrees as x cm is to 85 cm.

Using cross-multiplication, we can solve for x:

72 * 85 = 360 * x

x = (72 * 85) / 360

x ≈ 17 cm (rounded to 1 decimal place)

Therefore, the length of the minor arc AB is approximately 17 cm.

Note: The calculation assumes that the given angle of 72 degrees corresponds to the minor arc AB in the sector. If the angle refers to a different arc or sector, the calculation may differ. It's also important to note that the calculation assumes the circle is a perfect circle and the given measurements are accurate.

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Answer:

B. the median and mode are the same

Step-by-step explanation:

Range

66

-

Median

39

-

Mode

39

-

Mean

42.5

The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

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Answer:

A.

1.

125

2.

47.5

B.

30

Exp.:

A.

1. (60x100)/48

2. 57/ 120(fraction)  x 100% = 47.5%

B.  (24×100)÷80

Answer:

0.75

Step-by-step explanation:

The retail price is $354.65.

What is retail price?

The price at which a product's manufacturer ostensibly recommends that a retailer sell it is referred to as the list price, also known as the manufacturer's suggested retail price, recommended retail price, or suggested retail price of a product.

Given: An import/export business marks up imported merchandise by 105%.

A wicker chair imported from Singapore originally costs from the manufacturer $173.

We have to find the retail price.

Retail price = \(= 173 + 173*\frac{105}{100} \\\)

                   = 173 + 181. 65

Retail price  = 354.65

Hence,  Retail Price is $ 354.65.

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Answer:

(x + 7) = 41

Step-by-step explanation:

Let the number of lions in the wildlife reserve = x

Since, 7 lion cubs were born, so the total number of lions in the wildlife reserve will be (x + 7)

Now total number of lions = 41

Therefore, equation representing this situation will be,

(x + 7) = 41

The three ways that the expression can be written as a ratio is 96 : 38, 38 : 96 and 48 : 19.

96 : 38 is the same as 38 ; 96 because the ratios mean the same thing.

The ratio of sci-fi movies to comedy movies is 38 : 46.

The ratio in the simplest form is 19 : 23.

Ratio expresses the relationship between two numbers. It shows the number of times that one value is contained within other value. The sign used to represent ratio is :.

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Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

The correct answer is C) 12 - (y • 2) and 12 - (2 • y),  are Equivalent expressions.

The two expressions that are equivalent are:

C) 12 - (y • 2) and 12 - (2 • y)

The equivalence, let's expand both expressions:

Expression C: 12 - (y • 2)

Expanding the expression, we have: 12 - 2y

Expression D: 12 - (2 • y)

Expanding the expression, we have: 12 - 2y

The order of the terms being subtracted (y • 2 or 2 • y) does not affect the result. Therefore, expressions C) 12 - (y • 2) and 12 - (2 • y) are equivalent.

A) 4 + (3 • y) and (4 + 3) • y

Expanding the expressions, we have: 4 + 3y and 7y

These expressions are not equivalent as they have different terms.

B) (18 ÷ y) + 10 and 10 + (y ÷ 18)

Simplifying the expressions, we have: (18/y) + 10 and 10 + (y/18)

These expressions are not equivalent either as the terms are arranged differently.

D) (10 - 6) ÷ y and 10 - (6 ÷ y)

Simplifying the expressions, we have: 4/y and 10 - (6/y)

These expressions are not equivalent as they have different structures and operations.

Therefore, the correct answer is C) 12 - (y • 2) and 12 - (2 • y), which are equivalent expressions.

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The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

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Answer:

-4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-19))/(-2-1)

m=(-7+19)/-3

m=12/-3

m=-4

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

5

Step-by-step explanation:

The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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Answer:

Amount of simple interest in three year = 750

Step-by-step explanation:

Given:

Amount invested = 5,000

Number of year = 3 year

Rate of interest = 5% Annually

Find:

Amount of simple interest in three year

Computation:

Simple interest = (P){R)(T)

Amount of simple interest in three year = (5,000)(3)(5%)

Amount of simple interest in three year = (5,000)(3)(0.05)

Amount of simple interest in three year = (5,000)(0.15)

Amount of simple interest in three year = 750

Answer:

Hi! The answer to your question is (2,-3)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

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Hope this helps!!

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Answer:

The answer would be c. 1440

Step-by-step explanation:

one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440

Answer:

-8 x 2/3

=–16/3.

or -5⅓

Have a great day!

The equation of line passing through point (6,0) and having a slope of -5/6 is y = -(5/6)x + 5

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point: (6,0)

First, we determine the y-intercept by substituting the given values into the equation of line formula and solve for b.

y = mx + b

0 = (-5/6)6 + b

0 = -5 + b

b = 5

Now that the values of slope m ( -5/6 ) and y-intercept b ( 5 ) is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (-5/6)x + 5

y = -(5/6)x + 5

Therefore, the linear equation of the line is y = -(5/6)x + 5.

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Answer:

It is 1 cent cheaper  to pay 5.46 for 7 apples.

Step-by-step explanation:

Find the unit rate:

5.46 /7 = 0.78

This is the cost for 1 apple

3.95/5 = 0.79

This is the cost for 1 apple

Answer:

5 apples for 3.95 is the better deal

Step-by-step explanation:

If you divide 7 by 5.46 you should get roughly 1.28, so $1.28 per apple

and if you divide 5 by 3.95 you should get roughly 1.26, meaning $1.26 per apple. You can verify this by multiplying 1.26 by 5 and 1.28 by 7

According to the solving the standard error of the given statement :

= 1.7172%.

The standard error of the mean, or just standard error, indicates how much the population means as well as the sample mean will likely differ from one another. It would be conceivable to figure out how much the sample mean would alter if a study were to be redone using new samples taken from a single population.

The standard error is calculated by taking the standard deviation and subtracting the square root of the sample size. It offers the accuracy of a sample mean by accounting for the variation of the sample means between samples.

For 99% confidence,

z = 2.5758

Standard error,

SE = sigma/sqrt

n = 10/sqrt 225

= 10/15

= 2/3

Maximum error of the estimated mean = z * SE

= 2.5758 * (2/3)

= 1.7172

According to the solving the Standard error of the given statement :

= 1.7172%.

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