Using the graph, determine the coordinates of the vertex of the parabola.​

Answer:

The vertex.

Step-by-step explanation:

The equation of population of Laredo, Texas is :

-  \(p=\frac{92500}{17}t+123000\)

Given:

Using point slope formula:

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We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Answer: 56

Step-by-step explanation:

Answer:

x = 55.94 degrees

Step-by-step explanation:

(to find x, use cosine) (cos = \(\frac{adjacent}{hypothenuse}\))

First step: write out the equation

⇒ cos x = \(\frac{14}{25}\)

Second step: find out what \(\frac{14}{25}\)  is

⇒ \(\frac{14}{25}\) = 0.56

Third step: find out what the cos-1 of 0.56 is

⇒ cos-1 of 0.56 = 55.94

Fourth step: you got your answer

⇒ x = 55.94

Answer:

x=5;y=12

Step-by-step explanation:

Hope this answer helps you

Answer:

1st option

Step-by-step explanation:

the figure is a kite

the horizontal diagonal bisects the vertical diagonal , then

x = 5

The diagonals are perpendicular , so using Pythagoras' identity

x² + y² = 13²

5² + y² = 13²

25 + y² = 169 ( subtract 25 from both sides )

y² = 144 ( take square root of both sides )

y = \(\sqrt{144}\) = 12

The averages retail price for the station wagon will be $12985.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that one used-vehicle guide shows the average retail value of the station wagon at $13,000. Add $50 for having tinted windows, $100 for air-conditioning, and $35 for power windows. Deduct $200 for excessive mileage.

The average price will be calculated as,

Price = 13000 + 50 + 100 + 35 - 200

Price = 13185 - 200

Price = $12985

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Answer:

simplified equation is 10y-10x

Step-by-step explanation:

8(y-x) -2(x-y)

multiple 8 and 2 by the corresponding parentheses

8y-8x -2x +2y

10y -10x

Answer: 10y-10x

Step-by-step explanation:

Distribute 8 through the parentheses

8y-8x-2(x-y)

Distribute -2 through the parentheses

8y-8x-2x+2y

Collect like terms

10y-8x-2x → 10y-10x

It can either be 10y-10x or -10x+10y

It doesn't matter.

Hope this helps ʕ•ᴥ•ʔ

The probability of drawing a white ball is 0.4, then drawing a red ball probability is 0.3, and drawing a yellow ball or a red ball probability is 0.6.

Given data:

Number of  red balls = 6

Number of yellow balls = 6

Number of white balls = 8

Number of balls  in a jar = n = 6 + 8 +6 = 20 balls

Where assume that:

R =  event where you draw a red ball.

W =event where you draw a white ball.

Y = event where you draw a yellow ball.

P(R) = 6/20 = 3/10 = 0.3

P(W) = 8/20 = 2/5 = 0.4

P(R) or P(Y) = P(Y) + P(R) - P(Y or R)

= 6/20 + 6/20 - 0

= 12/20

= 3/5 = 0.6

Therefore, The probability of drawing a red ball is 0.3, a white ball is 0.4, and a yellow ball or a red ball is 0.6.

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Answer:

19

Step-by-step explanation:

because it alternate with A

Answer:

4 is B

5 is C

Step-by-step explanation:

Answer:

y = -4x + 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find slope m

\(m=\frac{-4-4}{3-1}\)

\(m=\frac{-8}{2}\)

m = -4

y = -4x + b

Step 2: Find y-intercept b

4 = -4(1) + b

4 = -4 + b

8 = b

Step 3: Rewrite linear equation

y = -4x + 8

The statement "There is a strong positive correlation between studying and grades" best describes the meaning of a correlation coefficient of 0.93. The correct answer is A.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, a correlation coefficient of 0.93 indicates a strong positive correlation between studying and grades.

A positive correlation means that as the value of one variable (study time) increases, the value of the other variable (grades) also tends to increase. A correlation coefficient close to +1 indicates a strong positive relationship, suggesting that an increase in study time is associated with higher grades. e correct answer is A.

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Answer: the answer is B have a nice day :)

Step-by-step explanation: got it right on edge

Answer:

Springfield trust me it is the only one that makes sense

Answer:

I think the answer is 125

b is the answer because 3x3 is 9 and 3x1 is 3

Answer:

1.952 degrees.

Step-by-step explanation:

Comparing the values of δz and dz, we have:

δz - dz = 8.9957 - (-0.75) ≈ 9.7457

Since δz - dz is positive, we can conclude that δz is greater than dz.

To compare the values of δz and dz, we can use the partial derivative of z with respect to x and y, and the given change in x and y:

∂z/∂x = 2x - y

∂z/∂y = -x - 14y^2

At the point (1, -1), we have:

∂z/∂x = 2(1) - (-1) = 3

∂z/∂y = -(1) - 14(-1)^2 = -15

Using the formula for total differential:

dz = (∂z/∂x)dx + (∂z/∂y)dy

Substituting the given change in x and y, we get:

dz = (3)(-0.04) + (-15)(0.05) = -0.75

Therefore, dz = -0.75.

To find δz, we can use the formula:

δz = z(0.96, -0.95) - z(1, -1)

Substituting the given points into the function z, we get:

z(0.96, -0.95) = (0.96)^2 - (0.96)(-0.95) - 7(-0.95)^2 ≈ 1.9957

z(1, -1) = 1^2 - 1(-1) - 7(-1)^2 = -7

Substituting these values into the formula, we get:

δz = 1.9957 - (-7) = 8.9957

Therefore, δz = 8.9957.

Comparing the values of δz and dz, we have:

δz - dz = 8.9957 - (-0.75) ≈ 9.7457

Since δz - dz is positive, we can conclude that δz is greater than dz.

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Answer:

The baker needs 82 boxes.

Step-by-step explanation:

326/4=81 r 2.

But, you have to fit in all the cupcakes, so you round ir up to 82.

The region is bounded by the x-axis x=0, x=2pi*/3 and y= 3sin(x/2)   is pi/3.

To find the area of region r, we first need to sketch the region on the x-y plane. From the given information, we know that the region is bounded by the x-axis, the line x=0, the line x=2pi/3, and the curve y=3sin(x/2). To sketch the curve, we can start by noting that sin(x/2) is a periodic function with period 2pi. This means that the curve will repeat itself every 2pi units on the x-axis. We can also note that sin(x/2) is non-negative for x in the interval [0, 2pi], which means that the curve will lie above the x-axis in this interval. To sketch the curve in the interval [0, 2pi/3], we can use the fact that sin(x/2) is increasing on this interval. This means that the curve will start at the point (0,0) and increase until it reaches its maximum value of 3sin(pi/6) = 3/2 at x=pi/3. The curve will then decrease until it reaches the x-axis at x=2pi/3.
Using this information, we can sketch the region r as a triangle with base 2pi/3 and height 3/2. The area of this triangle is given by:
area = 1/2 * base * height = 1/2 * (2pi/3) * (3/2) = pi/3
Therefore, the area of region r is pi/3.

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Answer:

13.32cm squared

Step-by-step explanation:

Area of triangle is B X H X0.5

Tallulah needs to buy at least 33 sets of glasses, where each set has 10 glasses, to ensure the restaurant has at least 569 glasses. The inequality is 10s ≥ 324, solved as s ≥ 33.

Let's use "s" to represent the number of sets of glasses Tallulah could buy. Since each set contains 10 glasses, the total number of glasses she would purchase is 10s.

The restaurant needs at least 569 glasses, and currently has 245 glasses. Therefore, Tallulah needs to buy enough glasses to make up the difference:

569 - 245 = 324

To ensure that the restaurant has at least 569 glasses after Tallulah makes her purchase, we can set up the inequality:

10s ≥ 324

Solving for "s", we can divide both sides by 10:

s ≥ 32.4

Since Tallulah cannot buy a fraction of a set, we need to round up to the nearest whole number. Therefore, she must buy at least 33 sets of glasses to have enough for the restaurant.

So the final inequality and solution is:

10s ≥ 324

s ≥ 32.4

s ≥ 33 (rounded up to the nearest whole number)

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Check the picture below.

\(\cfrac{1^2}{2^2}=\cfrac{110}{A}\implies \cfrac{1}{4}=\cfrac{110}{A}\implies A=440~in^2\)