In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?

Answer:

a (5a - 6b)

Step-by-step explanation:

Factor a

5a^2 - 6ab

a (5a - 6b)

Answer:

AB = 4.9 ft

Step-by-step explanation:

Here, we are to calculate the length of AB.

Firstly, please check the diagram of the triangle we have in the attachment.

From there we can see that what we are asked to calculate is the length of the hypotenuse(AB) while what we have is the length of the opposite and the angle.

Mathematically, when we have the opposite and the hypotenuse, the trigonometric ratio that links both is the sine

sine = opposite/hypotenuse

Sin 47 = 3.5/hypotenuse

hypotenuse = 3.5/sin 47

hypotenuse = 4.7856

To the nearest tenth of a foot AB = 4.8 ft

Answer :10X

Step-by-step explanation:

Answer:

x = 10

12 logx= 12

12 x logx = 12

12 x log10 = 12

12 x 1 = 12

Answer:

-$180

After 3 withdrawals of $60:

-60 × 3 --- 60 less dollars every one of 3 withdrawals

-180 --- simplify

-$180

hope this helps and brainliest?

Answer:

1/2

Step-by-step explanation:

We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:

[tex]16 ^{1/2} * 2^{-3}[/tex]

Simplifying:

=> [tex]4 * \frac{1}{2^3}[/tex]

[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]

The answer is 1/2.

Answer:

45 gallons

Step-by-step explanation:

You have to do 3x (lemonade)+5x (soda)=120

8x=120

x=15

now multiply the 15 with the 3 which will get you to 45

i really hope this helped!!

Answer:

48 cm²  

Step-by-step explanation:

The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.  

The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).

1. Convert the height to centimetres

[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]

2. Calculate the perimeter

p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm

3. Calculate the lateral area

L = ph = 16 cm × 3 cm = 48 cm²

The lateral area of the prism is 48 cm².

Answer:

The answer is A. 231

Step-by-step explanation:

I took the test on quizizz.

Answer:

[tex] log_{2}(9x) - log_{2}(3) = 3 \\ 3 = log_{2}(8) or log_{2}( {2}^{3} ) \\ log_{2}( \frac{9x}{3} ) = log_{2}(8) \\ \frac{9x}{3} = 8 \\ 9x = 8 \times 3 \\ 9x = 24 \\ x = \frac{24}{9} \\ x = \frac{8}{3} \\ x = 2 \times \frac{2}{3} [/tex]

Answer:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3 : x = \frac{8}{3}[/tex]

Decimal:

[tex]x = 2.66666...[/tex]

Step-by-step explanation:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3[/tex]

Add [tex]log _2\left(3)[/tex] to both sides:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)+\log _2\left(3\right)=3+\log _2\left(3\right)[/tex]

Simplify:

[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)[/tex]

Use the logarithmic definition: If [tex]\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex]

[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)\quad \Rightarrow \quad \:9x=2^{3+\log _2\left(3\right)}[/tex]

[tex]9x=2^{3+\log _2\left(3\right)}[/tex]

Expand [tex]2^{3+\log _2\left(3\right)} : 24[/tex]

[tex]9x=24[/tex]

Solve: [tex]9x=24 : x = \frac{8}{3}[/tex]

[tex]x = \frac{8}{3}[/tex]

Verify solutions: [tex]x = \frac{8}{3}[/tex]  : True

The solution is:

[tex]x=\frac{8}{3}[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

1. x= -1/2

3. a= 11

5.y= -14

7.x= 8

9.n=4

Answer:

c. (-1, -8)

Step-by-step explanation:

[tex]y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\[/tex]

Put x in any of the two equations to get y,

y = -8

Answer:

19657

Step-by-step explanation:

[tex]2\cdot 10^4 - 7^3=20000-343=19657[/tex]

Hope this helps!

Answer:

I Have the same question

Step-by-step explanation:

Plz answer this for us.

Answer:

18.85 feet

Step-by-step explanation:

C = 2 x 3.14 x 6/2

Answer:

C≈18.84

Step-by-step explanation:

Formula is 2πr

D = 6 ft

Radius is D/2 = 3

2π3 = 18.84955592153875943077586029967701730518301639625063492584

Answer:

1:5

Step-by-step explanation:

Answer:

19.4 =u

Step-by-step explanation:

17/7 = u/8

We can use cross products to solve

17*8 = 7u

Divide each side by 7

17*8/7 = 7u/7

19.42857143 = u

To the nearest tenth

19.4 =u

Answer:

[tex]u = 19.42[/tex]

Step-by-step explanation:

[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: first problem: 2w-5w

Second problem: one side increases by 4 and another side decreases by -22.

Step-by-step

For the first question: make a rectangle and label the length 2w-5 and the width 5. Next, write w(2w-5). Draw a arrow from w to 2 and another arrow from w to 5. Lastly write 2w^2-5w. Answer: 2w^2-5w

2nd question: make a rectangle. For the length write 10 and for the width write 8 and inside the rectangle write 80. Then draw a arrow and on top of the arrow write +88 and then drew another rectangle and for the length write x+10 and for the width write x+8 and inside the rectangle write 168. Then write this on the bottom of the rectangles;

(x+10) (x+8) =168

X^2+8x+10x+80=168

-168. -168

X^2+18x-88=0

Then make a T-chart and on one of the top column write (x-4) and on the other top column write (x+22)=0

And on the bottom of (x-4) write X=4 and in parenthesis write (increase)

And on the bottom of (x+22)=0 write X=-22 and in parenthesis write (decrease)

Then on the area so of the T-chart write 88 and underline it and write -4+22=18 D. S large +.

-Tell me if you get what I am saying. And good luck!

Answer/ Step-by-step explanation:

Simplest Radical Form. ... Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

Please Mark BRAINLIEST! Really need it!

Got this image from one of my assignments:

Answer:

Step-by-step explanation:

9m^2 + 3mn - 3mn - n^2

9m^2 - n^2

Answer:60,480

Step-by-step explanation:

Given

Word ENERGETIC contains

[tex]3-E's[/tex]

[tex]1-N[/tex]

[tex]1-R[/tex]

[tex]1-G[/tex]

[tex]1-T[/tex]

[tex]1-I[/tex]

[tex]1-C[/tex]

i.e. there are 9 letters

So, no of ways of arranging 9 letters out of which 3 are same is given by

[tex]=\dfrac{9!}{3!}=60,480[/tex]

here 3! is for 3-E's

Answer:

50

Step-by-step explanation:

You find the common denominator by the LCM , which in this case is 50.

incase you did not understand LCM , am here to help.

Answer:

The missing side = 30 cm

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

40^2 + b^2 = 50^2

1600 + b^2 = 2500

-1600             -1600

b^2=900

square root of both sides

b=30 cm

Answer:

The correct option is;

C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The equation for the surface area of a triangular prism is as follows;

A = b×h + 2×l×s + l×b

Where:

b = Base width

h = Height of triangular sides

s = Slant height of pyramid

l = Base Length

Hence where every dimension of the triangular pyramid is multiplied by 10, we have

The surface area of original prism = A₁ = b×h + 2×l×s + l×b

The surface area of the new prism = A₂ = 10·b×10·h + 2×10·l×10·s + 10·l×10·b

A₂ = 100·b×h + 100·2×l×s + 100·l×b = 100×(b×h + 2×l×s + l×b)

Therefore, the surface area of the new pyramid is multiplied by 100.

Answer:

A The surface area of the pyramid is multiplied by 10.

Step-by-step explanation:

A triangular prism is a 3 dimensional shape. A triangular prism has 5 faces: 3 triangles and 3 rectangles.

The total surface area of the triangular prism is calculated as:

(Area of the triangle ÷ 2) + ( Area of the first rectangle) + ( Area of the second rectangle) + ( Area of the second rectangle)

If , every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar, hence, the surface area of the pyramid is multiplied by 10.

Answer:

160

Step-by-step explanation:

b^2 + 2 bl

8^2 + 2(8)(6)

64 + 16(6)

64 + 96

= 160

Answer:

2x + 3y ≤ 25

Completed question;

At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.

Represent the case with an equation.

Step-by-step explanation:

Given;

Cost of yellow roses = $2

Cost of red roses = $3

Maximum cost he can spend = $25

Let "x" represent the number of yellow roses

let "y" represent the number of red roses.

The total cost of yellow roses = 2 × x = 2x

The total cost of red roses = 3×y = 3y

Total = 2x + 3y

The equation for this case can be written as;

2x + 3y ≤ 25

Answer:

We have the formula to get the amount of money after 5 years:

A = Principal x (1 + rate)^year

or

5200 + 2340 = 5200 x (1 + rate)^5

=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45

=> 1 + rate = 1.077

=> rate = 1.077 - 1 = 0.077 = 7.7%

Hope this helps!

:)

Answer:

9

Step-by-step explanation:

r= 100i/pt=

100× 2340/5200×5=9

Answer:

V=π r^2 h/3

d=2 3/8 inches

convert to radius   d=2r

d=2.375 (value of 2 3/8 inches in decimal)

2.375 divide by 2

r=1.1875 inches

V=π r^2 h/3

V=3.14 x 1.1875^2 x 6/3

Volume will be 8.85.

Step-by-step explanation:

Answer:

115°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

? is an exterior angle of the triangle , thus

? = 75° + 40° = 115°

Answer:

[tex]x = 115 \: \: degrees[/tex]

Step-by-step explanation:

let's get the missing side as x

[tex]75 + 40 = x \\ 115 = x[/tex]

Answer:

[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]

Step-by-step explanation:

We have the following dataset given:

0.4,0.2,0.4,0.6

In order to calculate the MAD we need to calculate the sample mean first with this formula:

[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

Replacing we got:

[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]

Answer:

0.1

Step-by-step explanation:

Khan Academy

Answer: