4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120​

Answer:

Step-by-step explanation:

The point where two lines intersect is the solution to a system of two linear equations in two variables. To find the point of intersection, we can set the two equations equal to each other and solve for the x and y values.

First, let's find the equation of Line A using the point-slope form of a line:

y - 7 2/3 = -1/6 (x - 3)

Expanding the right side:

y - 7 2/3 = -1/6 x + 1/2

Next, let's find the equation of Line B using the point-slope form of a line:

y - -1 = 1/2 (x - -17)

Expanding the right side:

y + 1 = 1/2 x + 8 1/2

Now, we set the two equations equal to each other to find the point of intersection:

y - 7 2/3 = y + 1

Solving for y:

8 5/6 = y

Now that we have y, we can substitute it back into either of the original equations to find x:

y - 7 2/3 = -1/6 x + 1/2

8 5/6 - 7 2/3 = -1/6 x + 1/2

1 1/6 = -1/6 x + 1/2

Expanding the right side:

1 1/6 = -1/6 x + 1/2

Multiplying both sides by 6:

7 = -x + 3

Adding x to both sides:

7 + x = 3

Solving for x:

x = -4

So the point where Line A and Line B intersect is (-4, 8 5/6).

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Answer:

i will give you the answer

Step-by-step explanation:

but what do you need

do you need intersect,slope,y=mx+b form?

Answer:7/15

Step-by-step explanation:

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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The town's population in 2008 is  78,600.

If the town's population is increasing linearly, it means that it increases by a constant number each year.

Linear equations have this form:  a + bt

Where:

The rate of linear increase = (population in 2006 - population in 2003) / (2006 - 2003)

(75,200 - 70,100) / 3

5100 / 3 = 1700

P(t) = 70,100 + 1700t

Population in 2008 = 70,100 + 1700(2008 - 2003)

70,100 + 1700(5)

70,100 + 8,500 = 78,600

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Answer:

Step 1: Calculate the mean of the data—this is xˉx, with, \bar, on top in the formula.

Step 2: Subtract the mean from each data point. ...

Step 3: Square each deviation to make it positive.

Step 4: Add the squared deviations together.

Step-by-step explanation:

can i get brainlyest

Answer:

<4√97,-9√97>

Step-by-step explanation:

First, we need to find the values of A-C and B-D:

A-C = < 3, 6 > - < 7, -3 > = < -4, 9 >

B-D = < 4, -7 > - < 0, 2 > = < 4, -9 >

Next, we need to find the magnitude of A-C, which is denoted by |A-C| and is equal to the square root of the sum of the squares of its components:

|A-C| = √((-4)^2 + 9^2) =√(97)

Now we can substitute all the values into the expression |A-C|(B-D) and evaluate:

|A-C|(B-D) = √(97) * < 4, -9 >

= < 4√(97), -9√(97) >

So the final answer is < 4√(97), -9√(97) >.

Answer:

This distribution should be expected to be right skewed.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.

If the coefficient is positive, the distribution is right skewed.

If the coefficient is negative, the distribution is left skewed.

If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.

In this question:

Mean 7.4, mode 4, standard deviation 11

(7.4-4)/11 = 3.4/11 = 0.31

Positive coefficient, so right skewed.

Answer:

x < 3

Step-by-step explanation:

5(3 - x) < -2x + 6

Distribute;

15 - 5x < -2x + 6

Add 2x to both sides;

15 - 3x < 6

Subtract 15 from both sides;

-3x < -9

Divide both sides by -3

x < 3

The inverse of the given matrix would be C. C ⁻¹ [-4.5, -3.5]

[ - 4 , - 3 ]

The formula for finding the inverse of the matrix is;

= ( 1 / determinant ) x [ d , - b ]

[ - c , a ]

The inverse is therefore:

= 1 / 2 x [ 9 , 7 ]

=  [- 4. 5 , - 3 . 5 ]

= [ - 4 , - 3 ]

So, the inverse of the matrix C is:

[ - 4. 5 , -3. 5 ]

[ - 4 , - 3 ]

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The score Julia has to have on her last test to have an A for the term is 102.

The first step is to determine the sum of her scores on the first three tests: 85 + 88 + 97 = 270

Now determine the score on the last test that would give an average of 93

(270 + x)/ 4 = 93

270 + x = 93 x 4

372 - 270 = x

x = 102

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Answer:

adding right is positive and left is subtracting.

Step-by-step explanation:

Answer:

adding

Step-by-step explanation:

The number of candy bars that the student can buy is given by the inequality c < 6 which means less than 6.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The inequality represents the amount of money a student can spend on c candy bars.

2c - 3 < 9

2c < 9 + 3

2c < 12

c < 6

This means,

c is less than 6.

Thus,

The number of candy bars that the student can buy is less than 6.

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Answer:

?????

Step-by-step explanation:

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

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

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Answer:

11

Step-by-step explanation:

just count all the Xs from 4 and up

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

4,39

I'm sorry if I'm wrong

Answer:

A, how much more soil did natasha add than dina?

B, Dina added 5/6 and Natasha added 11/8

C, subtraction

D, 11/8-5/6 or 33/24-20/24

E, 13/24

F, Natasha added 13/24 more of the bag than Dina did.

Step-by-step explanation:

we know that in parallelogram diagonals bisect each other. So.

TX = VX

c + 30 = 16c

16c - c = 30

15c = 30

c = 30 / 15

c = 2

The value of c should be 2 so that it makes a parallelogram.

Answer:

E

Step-by-step explanation:

\sqrt 6 is an irrational number, as it cannot be written as the ratio of 2 numbers.

It is also a real number, as it does not include the square root of a negative number.

Therefore, E is the correct option.

The volume of the cone is 370m^3.

The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.

Volume =  ⅓ r²h

here, we have,

A cone has a slant height of 15 meters and a radius of 5 meters.

so, height = √15^2 - 5^2

                = 14.14m

so, volume = ⅓ r²h

                   =370m^3

Hence, The volume of the cone is 370m^3.

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Answer:

Let us consider we are given.1.54 and 2.37.

So here for 1.54 you can do one set of the 100 and then 5 tenths and 4 hundredths.as well as for the 2.37 you can to 2 hundreds and 3 tenths as well as the 7 hundredths. So here we are adding these numbers 1.54 + 2.37 is 3.91.so answer is 3.91. You can do 3 hundreds and 9 tenths and 1 hundredths.

Step-by-step explanation:

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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