Calculate the values

When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

The term quotient refers to the number that is obtained when you divide a number by another.

When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

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Answer:

[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]

Explanation:

[tex]\rightarrow \sf 3x - 5y = -10[/tex]

[tex]\rightarrow \sf - 5y = -10-3x[/tex]

[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]

[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]

Comparing it with slope intercept formula: y = mx + b

Identify the slope for this function:

[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]

Then perpendicular slope shall be negatively inverse:

[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]

Answer:

D

Step-by-step explanation: i got it right

The probability that exactly 6 workers take the bus to work is 0.001

The given parameters are:

The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]

So, we have:

[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]

Evaluate the expression

P(6) = 0.001

Hence, the probability that exactly 6 workers take the bus to work is 0.001

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Answer:

The answer is  on the quantity they produce per hour.

Step-by-step explanation:

If they produce more, they will be paid more, based on the rate per finished item

Answer:

Step-by-step explanation:

A: Not a Rhombus. Adjacent sides are unequal

B: True. Opposite sides are parallel

C: True. Adjacent sides are unequal in length but it has two sets of parallel lines and at least 1 right angle.

D: Not a square. Not all 4 sides are of equal length

E: It is a quadrilateral. A quadrilateral only requires 4 sides.

F: Not true. It does not have the properties of a trapezoid.

Hi Student!

Looking at the question we can see that we are given a number which is 120 days.  The question is asking for us to convert the amount of days it took to break the code into hours.  We can do this by multiplying the amount of days that we have by 24 because there are 24 hours in a day.  The days would cancel and that would result us with just hours left.

[tex]120\ days*\frac{24\ hours}{1\ day}[/tex]

[tex]\frac{120\ days\ *\ 24\ hours}{1\ day}[/tex]

[tex]\frac{2880\ hours}{1}[/tex]

[tex]2880\ hours[/tex]

Therefore, our final answer is that it took the computer 2880 hours to break the code after we converted the days to hours.

Answer:

22.8 m

Step-by-step explanation:

the 2 situations are similar triangles

the ratio of corresponding sides are in proportion

let h be the height of the tree , then

[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )

1.3h = 29.64 ( divide both sides by 1.3 )

h = 22.8 m

Answer:

as x→+∞, f(x)→+∞   as x→-∞,f(x)→-∞

Step-by-step explanation:

Answer:

see the attachment!

i hope this can help you!

Answer:

s=55°

Step-by-step explanation:

sum of angles of the inside pentagon is 540°

2s+2s+1s+130°+135° =540°

5s+265°=540°

5s=540°-265°

5s=275°

5s/5=275°/5

s=55°

Answer:

[tex]2\sqrt{61\pi }[/tex]

Step-by-step explanation:

Let's find c by using the Pythagorean Theorem: [tex]10^2 + 12^2 = c^2[/tex] so [tex]c = \sqrt{10^2 + 12^2}[/tex]. I'm going to leave c like this so it is easier to multiply by [tex]\sqrt{\pi }[/tex]. [tex]c\sqrt{\pi } = \sqrt{10^2 + 12^2}\sqrt{\pi } = 2\sqrt{61\pi }.[/tex]

Hope this helped! :)

Apple be A and blueberries be B

So

As per Venn diagram

#1

P(A)=12/24

P(B)=7/24

Add

#2.

n(AUB)

E=8+16=24

P(AUB)=16/24=2/3

Answer:

[tex]\sf a) \quad P(contains\:apple)+P(contains\:blueberry)=\dfrac{5}{6}[/tex]

[tex]\sf b) \quad P(contains\:apple\:or\:blueberry)=\dfrac{11}{15}[/tex]

c)    Not mutually exclusive events

Step-by-step explanation:

From inspection of the Venn diagram:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Let A = contains apple

Let B = contains blueberry

[tex]\implies\sf P(A)=\dfrac{15}{30}=\dfrac{1}{2}[/tex]

[tex]\implies\sf P(B)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

Part (a)

[tex]\begin{aligned} \implies \sf P(A)+P(B) & =\sf \dfrac{1}{2}+\dfrac{1}{3}\\\\ & = \sf \dfrac{3}{6}+\dfrac{2}{6}\\\\ & = \sf \dfrac{5}{6}\end{aligned}[/tex]

Part (b)

[tex]\textsf{Addition Law}: \quad\sf P(A\:or\: B) = P(A)+P(B)-P(A\:and\:B)[/tex]

Given:

[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]

[tex]\sf P(A\:and\:B)=\dfrac{3}{30}\quad \textsf{(where the circles overlap)}[/tex]

[tex]\begin{aligned}\implies \sf \sf P(A\:or\: B) &= \sf P(A)+P(B)-P(A\:and\:B)\\\\& =\sf \dfrac{5}{6}-\dfrac{3}{30}\\\\ & =\sf \dfrac{25}{30}-\dfrac{3}{30}\\\\ & =\sf \dfrac{22}{30}\\\\ & = \sf \dfrac{11}{15}\end{aligned}[/tex]

Or, we can simply read P(contains apple or blueberry) from the Venn diagram.  

P(A or B) is the total of the numbers inside the circles divided by the total number of smoothies:

[tex]\sf P(A\:or\:B) = \dfrac{12+3+7}{30}=\dfrac{22}{30}=\dfrac{11}{15}[/tex]

Part (c)

For two events, A and B, where A and B are mutually exclusive:

[tex]\sf P(A \: or \: B)=P(A)+P(B)[/tex]

Given:

[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]

[tex]\sf P(A\:or\:B)=\dfrac{11}{15} \quad \textsf{(from part b)}[/tex]

[tex]\sf As\:\dfrac{11}{15}\neq \dfrac{5}{6} \implies P(A \: or \: B)\neq P(A)+P(B)[/tex]

Therefore, choosing a smoothie containing apple and choosing a smoothie containing blueberry are NOT mutually exclusive events.

Answer:4 PCs and 8 Macs

Step-by-step explanation:

They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room

They consists of equations and unknown variables

Let the number of PCs be x

Let the number of Mac be y

If Mke has 12 computers, then;

x + y = 12

If there are two Macs for every PC in his classroom, then;

y = 2x

Substitute

x + 2x = 12

3x = 12

x = 4

Recall y = 2x

y = 2(4)

y = 8

There are 4 PCs and 8 Mac in the room

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Answer:

∠APB = 106°

Step-by-step explanation:

Method 1: Focus on Triangle APB

Every angle of equilateral triangle ABC is 60°

∠BAP = 60°

∠ABP = 60° - 46° = 14°

Total degrees in one triangle is 180°

∠APB = 180° - 60° - 14° = 106°

Method 2: Exterior Angle Theorm

∠APB = ∠PBC + ∠PCB

∠APB = 46° + 60°

∠APB = 106°

Answer:

tan65=?/7

7*tan65=?

=15.0115

Answer:

90

Step-by-step explanation:

60 kmhr for an hour and a half

i hour 60 km

half hour 30 km

60 + 30 =90

Answer:

Correct option is A)

If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0

Use FOIL to find the quadratic form: x

2

−4x−32=0. Therefore, the correct equation is (A)

Step-by-step explanation:

What do you think?

Don't forget to follow narin ty

Answer:

x = 18

Step-by-step explanation:

Let's find x :-

[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]

[tex] {x}^{2} - 8x = 180[/tex]

[tex] {x}^{2} = 8x - 180 = 0[/tex]

[tex](x - 18)(x + 10)[/tex]

[tex]x = 18[/tex]

Answer:

17

Step-by-step explanation:

two negative signs makes a positive result

Answer:

400

Step-by-step explanation:

425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.

Answer:

nearest tenth: 430

nearest hundredth: 400

Step-by-step explanation:

5 and above rounds up hense 430 and below 50 rounds down hense 400

Answer:

16 and 24

Step-by-step explanation:

The largest factor for both numbers have in common is 8, so GCF(16,24) = 8

Answer:

7.4,000

8.23,000

9.1,000

Step-by-step explanation:

I'm teacher

Answer:

some people an fly high until good bye

Step-by-step explanation:

Answer:

The final balance would be $1,528.84

Step-by-step explanation:

The final balance would be $1,528.84 and the total compound interest would be $993.84

Answer:

Somewhere between 12 and 13, perhaps 12.25

Step-by-step explanation:

This is a (rather) simple explanation:

Look for 2 square numbers that are either side of 150

In this case, it is 144 and 169

The square root of 144 is 12 and the square root of 169 is 13

Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.

As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)

Answer:

9 / 4

Step-by-step explanation:

The slope of line V can be found using the formula for slope: (y2 - y1) / (x2 - x1).

(y2 - y1) / (x2 - x1)

(13 - 9)  / (1 - 10)

(4) / (-9)

Two slopes are perpendicular when the values are reciprocals. The slope of line V is 4 / (-9). The reciprocal of this is: 9 / 4.

Answer:

25%

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.

Based on the probability that each gear will fail and the fact that the gears are not linked, the probability that both will fail is 0.4%.

Because the gears are not linked together, the probability that both will fail can be found as:

= Probability that gear fails after 5 years x Probability that gear fails after 10 years

Solving gives:

= 5% x 8%

= 0.4%

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