Find probability of getting a king or spade in a deck

The number of men and women that work at the company are;

Number of men = 36

Number of women = 18

Let the total number of employees in the company be x.

Now, we are told that 75% of the employees were men. Thus;

Number of men = 75% * x = 0.75x

Number of women = 0.25x

Now, we are told that after 6 women joined, the ratio of men to women became 2: 1.

Thus;

New total employees = x + 6

New total number of women = 0.25x + 6

Thus;

0.75x/(0.25x + 6) = 2/1

Cross multiply to get;

0.75x = 2(0.25x + 6)

0.75x = 0.5x + 12

0.75x - 0.5x = 12

0.25x = 12

x = 12/0.25

x = 48

Number of women = 0.25(48) + 6 = 18

Number of men = (48 + 6) - 18 = 36

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Answer:

35

Step-by-step explanation:

Try prime factors:

2 : not even

3: not divisible

5:

1225/5 = 245

245/5 = 49

1225 = 49 *(5^2)

7:

49/7=7

49=7^2

1225 = (7^2) *(5^2)

1225 = (7*5)^2

1225 = 35^2

Answer:

6\(\frac{2}{3}\)

Step-by-step explanation:

y + 1\(\frac{1}{6}\) = 7\(\frac{5}{6}\)

y + \(\frac{7}{6}\) = \(\frac{47}{6}\)

y = 40/6 = 20/3 = 6\(\frac{2}{3}\)

Answer: No he is not correct the answer is 6 3/8

Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the

Answer:

No. Total distance = 6 3/8.

Step-by-step explanation:

\(2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\\)

            \(=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}\)

Answer:

The rectangle is 7.9 meters by 2.9 meters.

Step-by-step explanation:

Let l be the length and w be the width

l = w + 5

A = 23 m²

Formula: A = lw

Solve for the dimensions

23 = (w+5)w

23 = w² + 5w

w² + 5w - 23 = 0

Use quadratic formula to find the possible value/s of w

\(w = \frac{-b+-\sqrt{b^2-4ac} }{2a}\\ w = \frac{-5+-\sqrt{5^2-4(1)(-23)} }{2(1)} \\w = \frac{-5+-\sqrt{25+92} }{2}\\ w = \frac{-5+-\sqrt{117} }{2} \\w = \frac{-5+-\sqrt{9(13)} }{2} \\w = \frac{-5+-3\sqrt{13} }{2}\\ w = \frac{-5+3\sqrt{13} }{2} = 2.9\\ w = \frac{-5-3\sqrt{13} }{2} = -7.9\)

Since we're dealing with dimensions, take the positive value which is 2.9.

w = 2.9 m

Substitute the value to l = w + 5

l = 2.9 + 5

l = 7.9 m

Answer: A

Step-by-step explanation:

12. X= 6

14. B= -11

16. N= 15

Answer:

q12. \(x=6\)

q14. \(b=-11\)

q16. \(n=15\)

Step-by-step explanation:

Q12.

\(-1=\frac{x}{-6}\)

Flip the equation:

\(\frac{x}{-6} =-1\)

Multiply both sides by 6/(-1)

\((\frac{6}{-1} )\) × \((\frac{-1}{6}x )\) = \((\frac{6}{-1} )\) × \((-1)\)

\(x=6\)

Q14.

\(5b=-55\)

\(b=\frac{-55}{5}\)

\(b=-11\)

Q16.

\(-3n=-45\)

\(n=\frac{-45}{-3}\)

\(n=15\)

hope this helps.....

Answer:

4^5+2x3

Step-by-step explanation:

4^5+2x3

Answer:

4 and 6 over 10

Step-by-step explanation:

If u do the math u will get dis answer

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

the answer for question 2 is (D)

Answer:

67

Step-by-step explanation:

You have the following expression:

log(-15.44)

Take into account that the logarithm of a negative number is not defined.

Then, the answer is Undefined

Answer:

56 times

Step-by-step explanation:

An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

60 boxes

Step-by-step explanation:

180 pounds plus 20 pounds is 200 pounds, which means that the weight of the boxes can't be any more than 1800 pounds (2000 - 200 = 1800). Divide 1800 by 30 (weight of one box) and you'll get 60 boxes

The expression 3(x+4)- w when x=5and w =7​ can be evaluted by substituting x=5and w =7​ in 3(x+4)- w.

Answer:

False.

Step-by-step explanation:

Recall that the volume of a right cylinder is given by the formula:

\(V=\pi r^2h\)

And the volume if a oblique cylinder is likewise also given by the formula:

\(V=\pi r^2h\)

From the formulas, therefore, if the heights are equivalent, then the radii must also be equivalent for the two cylinders to have the same volume.

Answer:

No!

Step-by-step explanation:

The domain (x) cannot have 2 values. In this case, -4 is -3, and -4 is also 8.

This is not a function!

For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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Answer:

#6 slope is -1/2 and y intercept is 4

#8 slope is 1/3 and y intercept is -2

Step-by-step explanation:

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:

\(\boxed{\sf \ 6 \ mph \ }\)

Step-by-step explanation:

when Bob travels downstream his speed is 12 + x

where x is the speed of the river

he travels 36/2 = 18 miles

it takes

   \(\dfrac{18}{(12+x)}\)

hours to  do it  

when Bob travels upstream his speed is 12 - x

it takes

   \(\dfrac{18}{(12-x)}\)

hours to  do it  

finally, it takes

   \(\dfrac{18}{(12+x)}+\dfrac{18}{(12-x)}=4\)

\(<=> 18(12-x+12+x)=4(12+x)(12-x)\\\\<=> 18*24=4(12^2-x^2)\\<=> 4x^2=576-432=144\\<=> 2x=12\\ <=> x = 6\)

So the current speed is 6mph

it takes 1 hour to downstream and 3 hours to upstream

hope this helps

The speed of the river will be 6 mph.

What is Speed?

Speed of any object is defined by dividing the distance from the given time.

It can be written as;

Speed = Distance / Time

Given that;

Bob can row 12 mph in still water.

The total time to travel downstream and return upstream to the starting point is 4 hours.

The total distance downstream and back is 36 miles.

Let x is the speed of the river.

Then, Bob speed when it travel downstream = 12 + x

And, Distance = 36 / 2 = 18 miles

Hence, Time taken by Bob = 18 / (12 + x)

And, Bob speed when it travel upstream = 12 - x

And, Distance = 36 / 2 = 18 miles.

Hence, Time = 18 / (12 - x)

Since, Total time = 4 hours.

So, we can formulate;

18 / (12 + x) + 18 / (12 - x) = 4

18 (1/ (12 + x) + 1 / (12 - x)) = 4

18 ( 12 - x + 12 + x ) / (12- x)(12 + x) = 4

18 × 24 = 4 (12² - x²)

18 × 6 = 144 - x²

x² = 144 - 108

x² = 36

x = 6

Thus, The speed of the river will be 6 mph.

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Answer: \(x = \frac{35}{2}\) or \(x = 17.5\)



Step-by-step explanation:

\(\frac{4}{7} = \frac{10}{x}\)

\(\frac{4x}{4} = \frac{70}{4}\)

\(x = \frac{35}{2}\)

or \(x = 17.5\)

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

Step-by-step explanation:

A set of vectors is said to be closed under scalar multiplication if when any vector in the set is multiplied by any scalar, the result is still a vector in the same set.

In order to determine if a vector is closed under scalar multiplication, you can take any vector from the set and multiply it by any scalar. If the resulting vector is also in the same set, then the set is closed under scalar multiplication.

For example, consider the set of two-dimensional vectors with non-negative integer components:

{(0,0), (1,0), (0,1), (1,1), (2,1), (1,2), (2,2), (3,2), ...}

To check if this set is closed under scalar multiplication, we can take one of the vectors, say (1,1), and multiply it by a scalar, say 3:

3(1,1) = (3,3)

Since both components of (3,3) are non-negative integers, it is also in the set. Therefore, the set is closed under scalar multiplication.

Note that it is not sufficient to simply check that the scalar multiplication of one vector and one scalar is in the set. You need to check that this is true for any vector in the set and any scalar.

Answer:

do You need help?

Step-by-step explanation:

Answer: more than :)

Step-by-step explanation:

Answer:

The product will be greater than the first factor