Ralphie is taking a ten-question multiple choice test. Each question has five choices. If Ralphie answers a question
correctly, he earns one point; if he answers incorrectly, he loses half a point. Ralphie answers the first six questions
correctly, then guesses on the last four. What is the expected value of his test score? Round the answer to the nearest
whole percent.

Answer: The friends who shared 2 chocolate chip cookies.

Step-by-step explanation: 3/2= 1.5  and 4/3= 1.3

1.5>1.3

Answer:

8

Step-by-step explanation:

To find the median, look at the line in the box. it lines up with 8 on the number line. Therefore, 8 is the median.

The requested areas for a standard normal distribution are as follows: (a) the area below z = 1.04 is 0.851, (b) the area above z = -1.4 is 0.920, and (c) the area between z = 1.1 and z = 2.0 is 0.135.

In a standard normal distribution with mean 0 and standard deviation 1, the areas under the curve correspond to probabilities. To find the areas for the specified values of z, we can use a standard normal table or a statistical calculator.

(a) The area below z = 1.04 can be found by looking up the value in the standard normal table or using a calculator. From the table or calculator, we find that the area to the left of z = 1.04 is 0.851.

(b) The area above z = -1.4 can be determined by finding the area to the left of z = -1.4 and subtracting it from 1. Since the standard normal distribution is symmetric, the area to the left of -1.4 is the same as the area to the right of 1.4. From the table or calculator, we find that the area to the left of z = 1.4 is 0.920. Therefore, the area above z = -1.4 is also 0.920.

(c) To find the area between z = 1.1 and z = 2.0, we need to find the area to the left of z = 2.0 and subtract the area to the left of z = 1.1. From the table or calculator, the area to the left of z = 2.0 is 0.977 and the area to the left of z = 1.1 is 0.864. Subtracting 0.864 from 0.977 gives us the area between z = 1.1 and z = 2.0, which is 0.113.

Therefore, the requested areas for a standard normal distribution are as follows: (a) the area below z = 1.04 is 0.851, (b) the area above z = -1.4 is 0.920, and (c) the area between z = 1.1 and z = 2.0 is 0.113.

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Answer:97

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

if y = 24, then 2y = 24 * 2

24*2 = 48

48 + 49 = 97

Hope this helps! :)

Answer: d

Step-by-step explanation:

The 75 degree angle and angle d are same-side interior angles, meaning that if they were supplementary, the lines would be parallel by the converse of the same-side interior angles theorem.

Answer:

-2b - 7/2

Step-by-step explanation:

solve for e: -4b+1=8+2e

-4b + 1 = 8 + 2e

-4b + 1 -8 = 2e

-4b - 7 = 2e

-2b - 7/2 = e

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

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Answer:

-7

Step-by-step explanation:

First find the slope (m)

m = (-1-(-3) / (6-4) = 2/2 = 1

Now find b, the y-intercept, by plugging either point into the equation.

y = mx + b

-3 = 1(4) + b

b = -7

The equation

We can tell that this parabola opens upwards since the directrix lies on the horizontal axis and the vertex is higher (positive p), so we know this is an x² parabola.

The form of parabola equation we will use with the given information will be (x-h)²=4p(y-k), where h,k is the vertex.

p refers to the distance between either the focus and the vertex or the vertex and the directrix. The y value of the focus is 2, and the y value of the vertex is 1. 2-1=1, so p=1.

From the vertex, (2,1), we know that h = 2 and k = 1.

Therefore, the equation is

(x-2)²=4(1)(y-1)

Verifying

From this, we can now plug in 6 and 5 for x and y in the equation respectively to see if that point falls on it.

(6-2)²=4(5-1)

4²=4*4

16=16

This statement is true, so the point (5,6) does fall on the parabola.

Step-by-step explanation:

To determine whether the point (6, 5) lies on the parabola with a focus at (2, 2), a vertex at (2, 1), and the directrix on the x-axis (y = 0), we can use the definition of a parabola.

A parabola is the set of all points that are equidistant from the focus and the directrix. This distance is also equal to the distance between the point and the vertex.

Let's first find the equation of the parabola. Since the vertex is (2, 1) and the directrix is the x-axis, the axis of symmetry is the line x = 2. This means that the parabola has the equation:

(y - 1)^2 = 4p(x - 2)

where p is the distance between the vertex and the focus, which we need to find. Since the focus is at (2, 2), which is one unit above the vertex, we know that p = 1/4. Substituting this value into the equation above, we get:

(y - 1)^2 = (x - 2)

Now we can check whether the point (6, 5) satisfies this equation. Plugging in x = 6 and y = 5, we get:

(5 - 1)^2 = (6 - 2)

16 = 4

This equation is clearly false, which means that the point (6, 5) does not lie on the parabola with the given focus, vertex, and directrix. Therefore, we can conclude that the point (6, 5) is not equidistant from the focus and the directrix and therefore does not lie on the parabola

Answer: Adrian will need 4 and 1/2 cups of raisins for 2.5 batches of muffins

Answer:

X is greater than 5.

Step-by-step explanation:

You choose the correct answer because X > 5.

Meaning that x would be any number over 5.

Answer:

x - 6

Step-by-step explanation:

Answer:

- 4x² + 6xy - y²

Step-by-step explanation:

8x² + 3xy + 4y² - 12x² + 3xy - 5y² ← collect like terms

= (8x² - 12x² ) + (3xy + 3xy) + (4y² - 5y²)

= - 4x² + 6xy - y²

Answer:

8x^2+6xy-5y^2+8y_1^2x^2

Step-by-step explanation:

Answer:

I think it's 7

Step-by-step explanation:

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

-6 < 2T < 8

+6 < 2T < 8 + 6

0 < 2T < 14

0 < ÷ 2 < ÷ 2

0 < T < 7

-0 < T < -0

T = 7

Answer:

267 km

Step-by-step explanation:

\(\frac{396}{132}\) => 3

3 x 89 -> 267 km on 89 liters

hi

as consumption is proportional to distance we have :  

 132  =  396

   89 =    ?  

? =   89*396  / 132 =  267

with 89 liters  of gasoline, boat goes 267 km.

The argument against the conjecture The area of a rectangle with a perimeter of 40 units must be at least one square unit. A rectangle with dimensions of 19.99 units long and 0.1 units wide has a 40 unit perimeter and an area of 0.1999 square units.

acc to our question-

The goal of the inquiry is to illustrate any potential connections between a rectangle's perimeter and area.

The counterexample presented dimensions that revealed the perimeter, which is 40, but omitted to provide the area, which is 1 square unit.

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Drake: 63 Mangoes

Rafael: 42 Mangoes

John: 84 Mangoes

Answer:

Drake is 63

Rafael is 42

John is 84

Step-by-step explanation:

Mangoes

Answer:

Sorry about the person above. The answer would be:

C. \(3x + 2y = 22\) and \(5x + 2y = 39\)

Explanation:

I just did the test.

Answer:

C

Step-by-step explanation:

Answer:

147?

Step-by-step explanation:

The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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Answer:

\(\displaystyle \frac{d^2y}{dx^2} = 2 \cos (x) - x \sin (x)\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)

Basic Power Rule:

Derivative Rule [Product Rule]:                                                                             \(\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = x \sin (x)\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:  π

Step-by-step explanation:

The standard form of a secant equation is: y = A sec(Bx - C) + D   where

Given: F(x) = 2 sec(2x + 3)

                               ↓

                             B=2

Period = 2π/B

           = 2π/2

           = π

Answer:

Step-by-step explanation:

First, change the fractions into decimals, then use the knowledge of the number line system to know which is greater or smaller than who.

-7/5  -1.4

3/4   0.75

so the numbers are -1.4, 16, -1, 3.2, -6.5, 0, 0.75

from greatest to least:

= 16, 3.2, 0.75, 0, -1, -1.4, -6.5

Answer:

13.8 ounces of salt

Step-by-step explanation:

A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

Step 1

Note that:

1 shaker = 0.6 ounces of salt

8 shakers = x

Cross Multiply

x = 8 × 0.6 ounces of salt

x = 4.8 ounces of salt

Step 2

The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

This is calculated as:

18.6 ounces of salt - 4.8 ounces of salt

= 13.8 ounces of salt

Answer:

8.239x10^-5

so the answer is A

Step-by-step explanation:

trust me

ps. use photomath on phone

Write both number with the same power of 10, factor out that power of 10 (since it's common to both terms), then simplify to standard scientific notation (that is, a.bcd... × 10⁻ⁿ):

(8.28 × 10⁻⁵) - (4.1 × 10⁻⁷) = (828 × 10⁻⁷) - (4.1 × 10⁻⁷)

… = (828 - 4.1) × 10⁻⁷

… = 823.9 × 10⁻⁷

… = 8.239 × 10⁻⁵