Write the equation of the line that passes through (-1, 7) and (2, 16).

Answer: 4 and 4/5

Step-by-step explanation:

Answer:

166. 5

Step-by-step explanation:

Given the following :

Mean weight (m) = 142 lbs

Standard deviation (sd) = 14 lbs

Renne = 96 percentile, what is Renne's weight

Using the equation :

Zscore = (score - mean) / standard deviation

96 percentile = 0.96 is equivalent to a Zscore of

1.75

Hence,

1.75 = (score - 142) / 14

14 * 1.75 = score - 142

24.5 = score - 142

24.5 + 142 = score

Score = 166.5

In a survey of 300 randomly selected students on a university campus, 105 of them responded "yes" when asked if they use a laptop in class to take notes. The sample proportion of students using laptops is 0.35. The standard error of the sample proportion is approximately 0.0289. By constructing an approximate 95% confidence interval, we find that the true proportion of students using laptops in class falls between 0.293 and 0.407.


To calculate the sample proportion, the standard error of the sample proportion, and construct an approximate 95% confidence interval for the true proportion.

a. The sample proportion is the ratio of the number of students who responded "yes" to the total number of students surveyed. In this case, the sample proportion is 105/300 = 0.35.

b. The standard error of the sample proportion measures the variability of the sample proportion. It can be calculated using the formula:

SE(p) = sqrt((p * (1 - p)) / n),

where p is the sample proportion and n is the sample size. Plugging in the values, we get:

SE(p) = sqrt((0.35 * (1 - 0.35)) / 300) ≈ 0.0289.

c. To construct an approximate 95% confidence interval for the true proportion, we can use the formula:

CI = p ± z * SE(p),

where CI represents the confidence interval, p is the sample proportion, z is the critical value corresponding to the desired level of confidence (in this case, for 95% confidence, z ≈ 1.96), and SE(p) is the standard error of the sample proportion.

Plugging in the values, we have:

CI = 0.35 ± 1.96 * 0.0289,

which gives us the confidence interval (approximately) as 0.293 to 0.407.

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Answer:

Is there a picture for that where i can try to help you??

Step-by-step explanation:

Answer:

$10.50+(x*0.15)=$7.00+(y*0.25)

this will tell you your answer

Step-by-step explanation:

The missing figure is attached down

Answer:

ΔPAX ≈ ΔYAQ ⇒ proved down

PA × AQ = YA × AX ⇒ proved down

AQ = 7 cm

Step-by-step explanation:

In two triangles: if their corresponding angles have the same measures, then they are similar

If two triangles are similar, then their corresponding sides are proportion

In our question:

From the attached figure

∵ YQ // PX

∴ m∠AYQ = m∠APX ⇒ corresponding angles

∴ m∠AQY = m∠AXP ⇒ corresponding angles

∵ ∠A is a common angle

∴ ΔPAX ≈ ΔYAQ ⇒ proved

∵ ΔPAX ≈  ΔYAQ

∴ Their corresponding sides are proportion

→ side PA is corresponding to side YA

→ side AX is corresponding to side AQ

→ side PX is corresponding to side YG

∴ [tex]\frac{PA}{YA}=\frac{AX}{AQ}=\frac{PX}{YQ}[/tex]

∵  [tex]\frac{PA}{YA}=\frac{AX}{AQ}[/tex]

→ By using cross multiplication

∴ PA × AQ = YA × AX ⇒ proved

∵ AX = 14 cm

∵ PA = 6 cm

∵ YA = 3 cm

→ Substitute these values in the relation above

∴ 6 × AQ = 3 × 14

∴ 6 AQ = 42

→ Divide both sides by 6

∴ AQ = 7 cm

Answer:

(1.2x - 2)(x - 5) < 2x(.6x + 1)

1.2x² - 8x + 10 < 1.2x² + 2x

10 < 10x

x > 1

The expression [tex]7z^4 - 5 + 10(y^3 + 2),[/tex] the factor is "10" since it multiplies the expression [tex](y^3 + 2)[/tex] to contribute to the overall product.

In the expression [tex]7z^4 - 5 + 10(y^3 + 2),[/tex] the term "10" is a factor.

To understand factors in this context, let's define them.

In algebra, factors are expressions or numbers that are multiplied together to obtain a product.

In the given expression, we have three terms: [tex]7z^4, -5,[/tex] and [tex]10(y^3 + 2).[/tex]

The term "10" is a factor because it is multiplied by the expression [tex](y^3 + 2).[/tex]

When we distribute 10 to the expression inside the parentheses, we get 10y^3 + 20.

Thus, "10" serves as a factor in the overall expression.

However, it's important to note that the term "-5" is not considered a factor because it is not being multiplied by any other expression or number.

It is a standalone constant term.

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Answer:

=6×3/4×3

Now, 3cut3

=6×4

=24

Answer:

  1/a = xy/(y-x)

Step-by-step explanation:

Simplify the reciprocal:

  1/a = 1/(1/x -1/y) = 1/((y-x)/(xy))

  1/a = xy/(y-x)

sas its sas oof hope this helps

Answer: No solution

Steps: 8x + 3 = 8x + 27

Subtract 8x from both sides: 8x + 3 - 8x = 8x + 27 - 8x

Simplify: 3 ≠ 27

The sides are not equal so therefore there is no solution.

Plz mark brainliest:)

Answer:

No Solutions

Step-by-step explanation:

Step 1:

8x + 3 = 8x + 27        Equation

Step 2:

3 = 27            Subtract 8x on both sides

Step 3:

3 ≠ 27          No Solutions

Answer:

No Solutions

Hope This Helps :)

Answer:

If x = 2, then 4x = 8.

Step-by-step explanation:

If x = 2, then 4x = 8.

Answer:

i think it is the third option

Step-by-step explanation:

inverse= -p ---> -q

The value of a + b is given as follows:

B. 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

Line 1 has a slope of 2, hence:

y = 2x + b

It contains the point (1,8), hence the intercept b is given as follows:

8 = 2 + b

b = 6.

Hence the line 1 is:

y = 2x + 6.

For the second line, we have that when x increases by 1, y decreases by 1, hence the slope m is given as follows:

m = -1.

Hence:

y = -x + b.

When x = 1, y = 2, hence the intercept b is given as follows:

2 = -1 + b

b = 3.

Hence the line 2 is:

y = -x + 3.

The x-coordinate of the intersection point, representing the value of a, is given as follows:

2x + 6 = -x + 3

3x = -3

x = -1 (a = -1).

The y-coordinate of the intersection point, representing the value of b, is given as follows:

y = -(-1) + 3

y = 4 (b = 4).

Hence the sum is given as follows:

-1 + 4 = 3.

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Answer:

7.719km

Step-by-step explanation:

10 - 2.281 is 7.719

Answer:

(12,0)

Step-by-step explanation:

We know that,

If the ordinate (y coordinate) is 0.. the point lies on the x axis

Hence,

[tex]Substituting\ y=0\\1.5x=18\\x=18/1.5\\x=180/15\\x=12[/tex]

Hence, the graph intersects the x axis at the point (12,0)

Answer:

Sedan =18

minivan=19

truck=16

Step-by-step explanation:

Step-by-step explanation:

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️.

Answer:

1

Step-by-step explanation:

6/11*11/6=1

Answer:

Slope=−  2.000 /4.667   =−2.333

x−intercept=  

7 /15   =2.14286

y−intercept=  

3 /15  =5

Step-by-step explanation:

Answer:

v=9

Step-by-step explanation:

Answer:

v

Step-by-step explanation:

The piston travel in an engine is influenced by the crank angle, crank radius, and connected rod length. The relationship between these variables is described by the formula a + b, where a represents the crank radius and b represents the connected rod length. The piston travel is directly related to the change in crank angle and is affected by the ratio of crank radius to connected rod length.

In an engine, the motion of the piston is driven by the crankshaft, which converts the rotational motion of the crank into linear motion of the piston. The distance traveled by the piston from the Top Dead Center (TDC) is influenced by various factors, including the crank angle, crank radius, and connected rod length.
The crank angle represents the angle through which the crankshaft rotates. As the crankshaft rotates, the piston moves up and down in the cylinder. The change in crank angle directly affects the piston travel.
The crank radius (a) is the distance from the center of the crankshaft to the point where the connecting rod is attached. The connected rod length (b) is the distance from the attachment point on the crank to the attachment point on the piston. The sum of the crank radius and the connected rod length, represented by a + b, determines the piston travel.
The ratio of crank radius to connected rod length also plays a role in the piston travel. This ratio affects the motion of the piston and determines the relationship between the crank angle and the linear displacement of the piston.
In summary, the piston travel in an engine is determined by the change in crank angle and is influenced by the ratio of crank radius to connected rod length. The formula a + b, where a represents the crank radius and b represents the connected rod length, describes the relationship between these variables. By understanding these factors, engineers can optimize the design and performance of internal combustion engines.

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Answer:

X = 12

Step-by-step explanation:

Basically, just start with 11 and do all of the steps backwards, so multiply 11 by 5, which is 55, then add 2, 57. divide by 3, which is 19, then subtract 7, and you'll get the original number, 12.

Answer:

x = 12

Step-by-step explanation:

Following the steps in the flowchart

(1) Input the number x

x

(2) Add 7

x + 7

(3) Multiply by 3

3(x + 7)

= 3x + 21

(4) Subtract 2

3x + 21 - 2

= 3x + 19

(5) Divide by 5

[tex]\frac{3x+19}{5}[/tex]

(6) Output the number 11

[tex]\frac{3x+19}{5}[/tex] = 11 ( multiply both sides by 5 )

3x + 19 = 55 ( subtract 19 from both sides )

3x = 36 ( divide both sides by 3 )

x = 12