A fourth-grade teacher suspects that the time she administers a test, and what sort of snack her students have before the test, affects their performance. To test her theory, she assigns 90 fourth-grade students to one of three groups. One group gets candy (a lollipop) for their 9:55 AM snack. Another group gets a high-protein snack (beef ) for their 9:55 AM snack. The third group does not get a 9:55 AM snack. The teacher also randomly assigns 10 of the students in each snack group to take the test at three different times: 10:00 AM (right after snack), 11:00 AM (an hour after snack), and 12:00 PM (right before lunch).
Suppose that the teacher uses a two-factor independent-measures ANOVA to analyze these data. Without post hoc tests, which of the following questions can be answered by this analysis? (Note: Assume that receiving no snack is considered one type of snack.) Check all that apply.

Is there a difference among the scores for the test times because fourth graders are more alert in the morning?
Does the effect of the timing of the test depend on the type of snack the students eat?
Do students who are tested at 12:00 PM score lower than students who are tested at 10:00 AM?
Do students who eat a candy snack score higher than students who have a protein snack?

Answer: Hi!

The equation for inverse proportion is x y = k or x = k/ y.

When finding the value of the constant k, you can use the known values and then use this formula to calculate all of the unknown values.

Hope this helps!

Answer:

the answer is B because it make a 90* angle

Answer:

3 dress pants and 3 jeans

Step-by-step explanation:

dress pants 3×60=180

jeans 3×50=150

$ 180+$150=$330

Answer:

3 of each type. (3 Dress pants, 3 Jeans.)

Step-by-step explanation:

Note: you probably shouldn't use this as an actual step-by-step explanation if you need one.

Let's make this into an algebra expression:

60x + 50y = 330

x = Dress pants ($60 each)

y = Jeans ($50 each)

We aren't gonna use this expression to solve it (since it's two separate variables), but we can use it to confirm if it's correct.

Now, I'm sure there's a proper way to do this, but there's a very cheeky way to do it as well if you're just doing simple questions like this (and need to do it quickly.)

First, let's check how many types of dress pants you can buy with $330.

330/60 = 5.5.

So 5, with some pocket change. However, not enough to buy some jeans. (60*5 + 50*1 = 350 =/= 330)

So, let's remove one of the dress pants. Now you have enough:

60*4 + 50*1 = 290 =/= 330

But it doesn't equal exactly to 330. So, let's add one pair of jeans:

60*4 + 50*2 = 340 =/= 330

You can see the pattern from here. Start from the most amount you can buy with one type, add one of the other, and if they don't equal to the budget, then remove one of the first type, and add one to the other. You should get the following:

60*3 + 50*3 = 330

(Again, someone should probably send a better explanation.)

The new carpet will cοst $1,908.00.

The size οf a regiοn οn a surface is measured by its area. While surface area refers tο the area οf an οpen surface οr the bοundary οf a three-dimensiοnal οbject, the area οf a plane regiοn οr plane area refers tο the area οf a shape οr planar lamina.

Area can be interpreted as the quantity οf material with a particular thickness required tο create a mοdel οf the shape οr as the quantity οf paint required tο cοmpletely cοver a surface in a single cοat. It is the twο-dimensiοnal equivalent οf the vοlume οf a sοlid οr the length οf a curve (a οne-dimensiοnal cοncept) (a three-dimensiοnal cοncept).

The area οf the classrοοm is the square οf the length οf its side, which is:

6 yards × 6 yards = 36 square yardsTο find the cοst οf the new carpet, we need tο multiply the area οf the classrοοm by the cοst per square yard:

36 square yards × $53.00/square yard = $1,908.00

Therefοre, the new carpet will cοst $1,908.00.

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The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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Answer: B.

Step-by-step explanation:

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

\(X \sim Bin(n = 1200,p =0.3)\)

The Binomial can be approximated to normal with:

\(\mu = np = 1200 \times 0.3 \\ \\ \mu= 360\)

\(\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875\)

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, \(\mu\) = 360, \(\sigma\) = 15.875

Using the z test statistics;

\(z = \dfrac{x - \mu}{\sigma}\)

\(z = \dfrac{347.5 - 360}{15.875}\)

\(z = \dfrac{-12.50}{15.875}\)

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

Answer:

0

Step-by-step explanation:

Answer:

1 x 0 = 0

Step-by-step explanation:

Anything multiplied by zero is zero. Also, it's called the qoutient not the sum...

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

125

Step-by-step explanation:

15/12 you get 125. Then multiple it by 100 and you get 125.

Answer: The slope is 7/5

Step-by-step explanation:

(-2,2) and (3,9)

The slope formula is \(m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}\)

Lets insert our numbers into there!

\(m=\frac{9-2}{3- -2}\)

m= 7/5

Hope this helps! <33

Answer:

See below.

Step-by-step explanation:

The given functions f(x) and g(x) are linear functions.  Therefore, their inverses are a reflection about the line y = x.

The mapping rule for reflecting a point about the line y = x is:

To determine if f(x) and g(x) are inverses of each other:

If the y-value of one function equals the x-value of the other function (and the x-value of one function equals the y-value of the other function), the functions are inverses of each other.

Given functions:

\(\begin{cases}f(x) = 2x+5\\\\g(x)=\dfrac{x-5}{2} \end{cases}\)

Ordered pair: (2, 9)

Substitute x = 2 into f(x):

\(\implies f(2)=2(2)+5=9\)

Substitute x = 9 into g(x):

\(\implies g(9)=\dfrac{9-5}{2}=2\)

Therefore, the functions are inverses of each other since the x-value of function f equals the y-value of function g, and the y-value of function f equals the x-value of function g.

Answer:

y+9=1/5(x+4)

Step-by-step explanation:

plug into the formula

Answer:

11.4

Step-by-step explanation:

Answer:

11.4

p.s you try it may help

Answer:

10.

Step-by-step explanation:

1) formula of the required slope is:

\(slpoe=\frac{y_2-y_1}{x_2-x_1};\)

2) according to the formula above:

\(slope=\frac{2+8}{5-4}=10.\)

P.S. x₁=2; x₂=-8; y₁=5; y₂=4.

Answer:

given below

Step-by-step explanation:

the column if multiplied shall give 12 as product. two sides are given.

multiply the given ones and divide it by 12.

Answer:keep dividing

Step-by-step explanation:

keep dividing till you get a common factor

Answer:

If hours is represented as h, your distance is therefore 3*h (due to that for every hour, you walk 3 miles. For example, in one hour you'd walk 3 miles, in 2 hours you'd walk 3+3=3*2=6 miles,etc.). If distance is represented by d, we get 3*h=d. Since you have to figure out the distance from the equation (that's the purpose of it!), the distance is the dependent variable. In addition, since you can't have 2 separate variables in one equation, h is the independent variable due to that you have to put a number for h in to figure out the distance

So basically the answer is A.

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

The stem-and-leaf plot of the given data is attached.

A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:

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Answer:

v1 = 1

Step-by-step explanation:

Solve for v1:

3 v1 - 3 = 0

Add 3 to both sides:

3 v1 + (3 - 3) = 3

3 - 3 = 0:

3 v1 = 3

Divide both sides of 3 v1 = 3 by 3:

(3 v1)/3 = 3/3

3/3 = 1:

v1 = 3/3

3/3 = 1:

Answer: v1 = 1

Answer:

here yah go :b

Step-by-step explanation:

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

1875

Step-by-step explanation:

3x5 = 15

15x 5 = 75

75x 5 = 375

375 x 5 = 1875

1875 because at the end of the next week, which basically turns 8 weeks into 4, and the number of contaminants multiply by 5 each other week.

The common ratio and the general term equation, a, of the geometric sequence is A. r = 1/2 , an = 16(1/2)^(n - 1).

A geometric sequence simply means the sequence of non zero numbers whereby the term after the first is simony found by multiplying the previous number by a common ratio

Based on the information, the common ratio will be:

= Second term / First term

= -8 / -16

= 1/2

The nth term will then be 16(1/2)^(n - 1).

The correct option is A.

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Answer:

2.    4.88 feet

Step-by-step explanation:

cos∅ = adj/hyp

cos71 = adj/15

adj = 15*cos71

adj = 4.88

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Answer:

-3 plates

Step-by-step explanation:

Subtract 7 - 4 = 3. Since there are 7 FEWER plates then you add a negative sign in front of it.