A group of students was randomly divided into two subgroups. One subgroup took a test in the morning, and the other took the same test in the afternoon. This table shows the results. Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon. Draw a conclusin based on your results.

The total ounces of water Diane brought are 576 ounces and  the fraction of a gallon of water did she start the hike with is 3/16.

The cost price per ounce is the amount of money required to buy one ounce of a brand or goods.

To find the cost price per ounce, divide the total amount of cost of the goods to the total number of goods.

1. There are 8 ounces in 1 cup and 16 cups in 1 gallon. Diane brought 4.5 gallons of water to a campout.  Let x ounces of water, did she bring. Thus,

[tex]x=4.5\times16\times8\\x=576\rm\; ounces[/tex]

Diane started a hike with 24 ounces of water in her backpack. The fraction of gallons in 24 ounces is,

[tex]n=\dfrac{24}{8\times16}\\n=\dfrac{3}{16}[/tex]

Thus, the total ounces of water Diane brought are 576 ounces and  the fraction of a gallon of water did she start the hike with is 3/16.

Learn more about the cost price per ounce here;

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Answer:

1 pack of pencils and 4 packs of pens

Step-by-step explanation:

Because, 1 pack of pencils has 16. And 1 pack of pens has 4. So...

1 pack of pencils = 16 and 4 packs of pens = 4 + 4 + 4 + 4 which equals 16 too.

Hope this helps! :)

square of 5=25

square of 10=100

cube of (-2) =-8

square of (-3)=9

Answer:

c = 23.93

Angle ∠B = 21.22°

Angle ∠C = 41.779°

Step-by-step explanation:

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

[tex]p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}[/tex]

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

[tex]p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}[/tex]

               [tex]=0.14680064[/tex]

Answer:

99 m to nearest metre.

Step-by-step explanation:

Hypotenuse = 135,  opposite side = ?

- so we need the sine function

sin 47 = x / 135 were x is the height of the kite.

x = 135 * sin 47

= 98.73 m

Answer:

x = 104°

Step-by-step explanation:

The 142° and <DCE form a straight line, and a straight line measures 180°, do the two angles add up to it:

180° =  142° + m<DCE

m<DCE = 38°

The red symbol in <DCE and <CDE mean they are congruent, so m<CDE is the same as m<DCE, which is 38°.

The 142° angle is an exterior angle to triangle, DCE, an exterior angles are the sum of the remote interior angles, which are <CDE and <DEC. Therefore, we can write:

142° = m<CDE + m<DEC

And we can substitute the values we have:

142° = 38° + x

x = 104°

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{ - 2x - 2}{ {x}^{2} + 2x - 3 } [/tex]

is the answer

Answer:

36 dollars

Step-by-step explanation:

4.50 times 8 = 36 dollars

Answer:

B

Step-by-step explanation:

here, we can use the pythagorean theorem. more info here: https://en.wikipedia.org/wiki/Pythagorean_theorem

formula: a^2+b^2=c^2

so we can apply the formula by doing this:

9^2+12^2=c^2

81+144=c^2

81+144=225

c=√225

c=15

solved

Answer:

192 yd³

Step-by-step explanation:

The volume of a rectangular pyramid is given by the formula:

[tex]V=\frac{1}{3} lwh\text{ where } l \text{ is the base length, }w \text{ is the base width, and }h \text{ is the pyramid height}[/tex]

In this case: [tex]l = 9, w=8, h = 8[/tex]

[tex]\therefore V=\frac{1}{3}(9\text{ yd})(8\text{ yd})(8\text{ yd})=192\text{ yd}^3[/tex]

Answer: s + 30 ≥ 50; s ≥ 20

Step-by-step explanation:

let s be the amount you have yet to spend in order to reach $50 or more

you already have $30.

This means you need to spend at least $20 more ($50 - $30 = $20)

S can be greater than or equal to $20 because your total will be 50 or more, therefore qualifying for the discount.

Answer:

C

Step-by-step explanation:

Points given are
(0,8) and (1, 16)
The first point given is the y-intercept, 8

The y-intercept of A is 2
The y-intercept of B is 16
The y-intercept of C is 8
the y-intercept of D is 16

The only one that works is C

Answer:

512 cubic inches

Step-by-step explanation:

[tex] \sqrt[3]{64} = 4[/tex]

[tex] {8}^{3} = 512[/tex]

Answer: A

Step-by-step explanation:

[tex]$$Solve for $x$ :$$(x+5)(2 x-7)=0$$Split into two equations:$$x+5=0 \text { and } 2 x-7=0$$Subtract 5 from both sides: $x=-5$ and $2 x-7=0$ \\Add 7 to both sides: $x=-5$ and $2 x=7$\\Divide both sides by 2:\\Answer:$$x=-5 \text { and } x=\frac{7}{2}$$[/tex]

Rounding up for 2nd zero = 7/2 = 3.5

Therefore, the zeroes of the function (rounded to whole numbers) are x = -5 and x = 4

Answer:

the answer is c

Step-by-step explanation:

to find the zeros set

f

(

x

)

=

0

(

3

x

−

5

)

(

2

x

+

7

)

=

0

equate each factor to zero and solve for x

2

x

+

7

=

0

⇒

x

=

−

7

2

3

x

−

5

=

0

⇒

x

=

5

3

Answer:

175 degrees.

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Therefore the answer is:

180 - 5

= 175 degrees.

Hi Student!

The first step to almost any problem is that we must concentrate the important information that is given to us in the problem.  This problem gives us information including that the measure of an angle is 5 degrees and that this angle is part of a supplementary pair.  Let's define what a supplementary pair or angles are.

Now that we have our definitions and important information, we can move onto the next part which is actually finding the other angle.  This step is simple now that we know that supplementary angles add up to 180.  We can just create an equation that will help us determine our solution.

[tex]angle_1\ +\ angle_2 = 180\ degrees[/tex]

[tex]5\ degrees\ +\ angle_2 = 180\ degrees[/tex]

[tex]5\ degrees-5\ degrees\ +\ angle_2 = 180\ degrees-5\ degrees[/tex]

[tex]angle_2 = 175\ degrees[/tex]

Therefore, our final solution to the supplementary angle of 5 degrees is 175 degrees which can be found by subtracting the given angle from 180.

HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00

What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >

B. chair no costume also whips

Answer:

= 5x +35

Step-by-step explanation:

Steps

5(x+7)

Apply the distributive law: ab+c) = ab + ac

5(x+7) =5x + 5: 7

=5X+5: 7

Multiply the numbers: 5 7= 35

= 5x +35

Step-by-step explanation:

the slope of a line or linear equation is always the factor of the driving variable.

usually in the form of

y = ax + b

x is the variable, and a the slope.

but in our case the variable is called "n".

it does not matter, the same principle applies.

the slope is the factor of n : 1050.

and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.

so, the third answer is correct.

Answer:

[tex]y = \frac{1}{2}x + \frac{3}{2}[/tex]

Step-by-step explanation:

Assuming this is a linear equation in the form of [tex]y = mx + b[/tex], we can first solve for the slope using [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], for these points, the slope would be [tex]\frac{1}{2}[/tex]. Now we plug in the points to get the equation:

plugging in (7,5), we get [tex]5 = \frac{1}{2}[/tex] ×[tex]7[/tex] + [tex]b[/tex]

and solving for b, we get b = [tex]\frac{3}{2}[/tex]

therefore, the equation of the line passing through (7,5) and (1,2) is [tex]y = \frac{1}{2}x + \frac{3}{2}[/tex].

hope this helps!

Answer:

[tex](y {}^{2} - 3y - 5) - ( - {y}^{2} - 7y + 4) \\ {y}^{2} - 3y - 5 + {y}^{2} + 7y - 4 \\ 2 {y}^{2} + 4y - 9[/tex]

A is the correct answer

Answer:

In Exercises 9 − 16, Ind the indicated measure in a LMNQ. Explain your reasoning. m ∠ L M N Answer m ∠ L M N = 80 ∘ View Answer Discussion You must be signed in to discuss. AS Ahin S. February 11, 2021 Find m?LMN in parallelogram LMNQ AS Ahin S. February 11, 2021 Watch More Solved Questions in Chapter 7 Problem 1 Problem 2 Problem 3 Problem 4

Step-by-step explanation:

Answer: A - (5.196, -3)

Step-by-step explanation: correct on ed

Answer:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

Step-by-step explanation:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

Answer:

9 weeks

Step-by-step explanation:

let the time when they will both have the same amount be x

since Maria is saving then her money is bound to increase

therefore amount she will have after x weeks=235+15x

Sergio is spending so his money is reducing

therefore amount he will have after x weeks=

685-35x

so

235+15x=685-35x

685-235=15x+35x

450=50x

x= 450/50

9weeks

Answer:

-4, -3,-3,1/2,3/4

Step-by-step explanation:

this should be right