In a certain group of students, the probability of a randomly-chosen student being male is 40%, the probability of the student studying Spanish is 18%, and the probability of the student being a male who studies Spanish is 5%. What’s the probability of the student being a male, if you know the student studies Spanish

Answer:

18 ft = 6 yds

3 ft = 36 inches

Step-by-step explanation:

We know that 3 ft = 1 yd

Divide 18 ft by 3

18 ft /3 ft = 6 yds

We know that 1 ft = 12 inches

3 ft * 12 inches /ft = 36 inches

Answer:

[tex]\large \boxed{18 feet = 6 yards}[/tex]

[tex]\large \boxed{3 feet = 36 inches}[/tex]

Step-by-step explanation:

1 foot = 1/3 of a yard

Multiply both sides of this equation by 18

[tex]\large \boxed{18 feet = 6 yards}[/tex]

1 foot = 12 inches

Multiply both sides of the equation by 3

[tex]\large \boxed{3 feet = 36 inches}[/tex]

Hope this helps!

Answer:

7

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2.

We were given 49pi. This means that 49=r^2.

The square root of 49 is 7.

So our radius is 7.

Hope this helps! <3

Answer:

1992.50 mL; 825 mL

Step-by-step explanation:

Given that :

Capacity of bottles in the attachment = 2L

Amount of soft drink in bottle 1 = 7.50mL

Amount of soft drink in bottle 2 = 1175mL

Converting liter milliliter

1Litre = 1000 milliliters

Therefore 2Litres = 2000 milliliters

Capacity each of bottle = 2000 milliliters

Volume of drink required to completely fill bottle 1:

2000mL - 7.50mL = 1992.50 mL

Volume of drink required to completely fill bottle 2:

2000mL - 1175mL = 825 mL

Answer:

Step-by-step explanation:

[tex] {4}^{ \frac{3}{4} } \times {2}^{x} = {16}^{ \frac{2}{5} } [/tex]

In order to solve the equation express each of the terms in the same base .

in this case we express each of the terms in base 2

That's

[tex] {4}^{ \frac{3}{4} } = {2}^{2 \times \frac{3}{4} } = {2}^{ \frac{3}{2} } [/tex]

And

[tex] {16}^{ \frac{2}{5} } = {2}^{4 \times \frac{2}{5} } = {2}^{ \frac{8}{5} } [/tex]

So we have

[tex] {2}^{ \frac{3}{2} } \times {2}^{x} = {2}^{ \frac{8}{5} } [/tex]

Since the left side are in the same base and are multiplying, we add the exponents

[tex] {2}^{ \frac{3}{2} + x } = {2}^{ \frac{8}{5} } [/tex]

Since they have the same base we can equate them

That's

[tex] \frac{3}{2} + x = \frac{8}{5} [/tex]

[tex]x = \frac{8}{5} - \frac{3}{2} [/tex]

[tex]x = \frac{1}{10} [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

Let breadth of the room be 'x'

Let length of the room be '[tex]2 \frac{1}{2} x = \frac{5}{2} = 2.5 \: x[/tex]'

Perimeter ( P ) = 70 cm

Now, let's find the breadth of the room 'x '

Perimeter of rectangle = [tex]2(l + b)[/tex]

plug the values

[tex]70 = 2(2.5x + x)[/tex]

Collect the like terms

[tex]70 = 2 \times 3.5x[/tex]

Calculate the product

[tex]70 = 7x[/tex]

Swap the sides of the equation

[tex]7x = 70[/tex]

Divide both sides of the equation by 7

[tex] \frac{7x}{7} = \frac{70}{7} [/tex]

Calculate

[tex]x = 10 \: cm[/tex]

Breadth = 10 cm

Now, Let's find the length of the room ' 2.5x '

Length of the room = [tex]2.5x[/tex]

Plug the value of X

[tex] = 2.5 \times 10[/tex]

Calculate the product

[tex] = 25 \: cm[/tex]

Thus , The length and breadth of the room is 25 cm and 10 cm respectively.

Hope this helps..

Best regards!!

Answer:

48

Step-by-step explanation:

We have that the volume of a cylinder is given by:

 V = pi * (r ^ 2) * h

In this case we know the diameter, we know that the radius is half the diameter like this:

r = d / 2

r = 8/2

r = 4

Now we know that the V equals 768 pi

we replace and we have:

768 * pi = pi * (4 ^ 2) * h

768 = 16 * h

h = 768/16

h = 48

Therefore the value of x would be 48 cm

Answer:

Step-by-step explanation:

Look at the picture.

x - horizontal

y - vertical

left, right - horizontal

n units to the right: x + n

n units to the left: x - n

up, down - vertical

n units up: y + n

n units down: y - n

J(-4; 1)

3 units to the right: -4 + 3 = -1

2 units down: 1 - 2 = -1

J'(-1; -1)

Answer:

Step-by-step explanation: to answer this question I need to know what 1 inch to a mile is. like    every one inch= 12 miles

Answer:

B

Step-by-step explanation:

A coin has two sides so there is a 50% chance of getting heads or tails.

Answer:

a) 1/4

b) 3/4

c) 1/4

Step-by-step explanation:

Possible outcomes of two tosses of a coin:

HH

HT

TH

TT

There is a total of 4 possible outcomes.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

a) 2 heads

HH     <-------  1 desired outcome

HT

TH

TT

p(2 heads) = 1/4

b) at least 1 head

HH   \  

HT      }     <------ 3 desired outcomes

TH    /

TT

p(at least 1 head) = 3/4

c) no heads

HH

HT

TH

TT    <------- 1 desired outcome

p(no heads) = 1/4

Answer:

1131 cubic inches.

Step-by-step explanation:

The front side of the figure contains a rectangle and a semicircle.

Area of rectangle is

[tex]A_1=length\times breadth[/tex]

[tex]A_1=11\times 12[/tex]

[tex]A_1=132\text{ in}^2[/tex]

Radius of semicircle is

[tex]r=17-11=6\text{ in}[/tex]

Area of semicircle is

[tex]A_2=\dfrac{1}{2}\pi r^2[/tex]

[tex]A_2=\dfrac{1}{2}\pi (6)^2[/tex]

[tex]A_2\approx 56.55[/tex]

Area of front side is

[tex]A=A_1+A_2=132+56.55=188.55\text{ in}^2[/tex]

Let front side is the base of prism and height is 6 in. So, volume of given figure is

[tex]V=\text{Base area}\times height[/tex]

[tex]V=188.55\times 6[/tex]

[tex]V=1131.3[/tex]

[tex]V\approx 1131\text{ in}^3[/tex]

Therefore, the required volume is 1131 cubic inches.

Answer:

B. The given value is a for the because the data collected represent a . statistic year sample

Step-by-step explanation:

A population is the total of similar items that are of interest to the researcher.

Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.

A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.

In this scenario the population is the whole year, and the sample is 41 days.

So the mean derived from the sample is statistic of sample from the year.

This can be used to make deductions about the whole year.

Answer:

the answer would be

[tex] - 2 + \sqrt{3} [/tex]

but if you want it in decimal form it would be -0.26794919

Answer:

tan 165 =  -0.2679491924

Step-by-step explanation:

Answer:

If it's not too late by now, the answer is 19.9 [tex]mm^{2}[/tex]

Answer:

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]

Calculate the difference

[tex] = \frac{ - 4}{2 - (2)} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 4}{2 + 2} [/tex]

Add the numbers

[tex] = \frac{ - 4}{4} [/tex]

Any expression divided by its opposite equals -1

[tex] = - 1[/tex]

Hope this helps..

Best regards!!

Answer:

Step-by-step explanation:

5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180

Answer:

no, the values would be above 180º

Step-by-step explanation:

if...

(4x - 9) + (2x + 3) + y = 180

(5x + 30) + y = 180

then...

(4x - 9) + (2x + 3) = 5x + 30

so...

6x - 6 = 5x + 30

x = 36

plug it in.

4(36) - 9 = 135

2(36) + 3 = 75

already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.

Answer:

m∠DEA = 62°

m∠ADB (arc) = 194°

Angle ∠ADB   = 21°.

Step-by-step explanation:

The given information are;

[tex]AB\left | \right |DC[/tex], m CB (arc) = 62°, m∠DAB (arc) = 104°

arc∠BCD = 360° - 104° = 256°

m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)

Therefore DC (arc) = 194°

m DA ≅ m CB =  62° (Parallel lines congruent arc theorem. Arc between two parallel lines)

m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°

m∠DEA = 62°

Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°

m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)

∴  m∠ADB (arc) = 360 - 104 - 62 = 194°

m∠ADB (arc) = 194°

Angle ADB = subtended by arc AB = ∴1/2×arc AB

Angle ∠ADB  = 42/2 = 21°.

Angle = 21°

Answer:  The range is real numbers less than 1

[1, -∞)  

Step-by-step explanation:  The range is all the y-values.  The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.

Answer:

y < 1

(the < has a line underneath it)

Step-by-step explanation:

Answer:

Equation:-  [tex]x + y = 38.50[/tex]

Solution of x:-  [tex]x = 38.50 - y[/tex]

Step-by-step explanation:

Given

Total Purchase = $38.50

Required

Determine the equation for finding the cost of a bear

From the question; we understand that the cost of 1 bear is represented with x

Solving further; by representing the cost of 1 football uniform with y

So;

[tex]1\ bear + 1\ uniform = 38.50[/tex]

Substitute x for 1 bear and y for 1 uniform to give us an equation

[tex]x + y = 38.50[/tex]

Solving for x (Subtract y from both sides)

[tex]x +y - y = 38.50 - y[/tex]

[tex]x = 38.50 - y[/tex]

The equation can't be solved further

Answer:

3.5

Step-by-step explanation:

I did the test, also, take the people multiply by score, u get 66 total, divided by 19=number of students, is 3.5-ish

The mean for gymnastic score is, 3.5

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown in table.

Now, We get;

The mean for gymnastic score is,

= ((1×0)+(1×1)+(2×2)+(6×3)+(4×4)+(3×5)+(2×6)) / 19

= 3.47

= 3.5

Thus, The mean for gymnastic score is, 3.5

Learn more about the addition visit:

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Answer:

[tex]f(x) = (x+1)^2 +2[/tex]

Step-by-step explanation:

Well you complete the square and get,

[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]

Then you use the binomial formula to get,

(x + 1)^2 + 2

Thus,

f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.

Hope this helps :)

Answer        

6B+7X-9Y+19

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4

In a parallelogram, consecutive angles are supplementary and opposite sides are equal.

Therefore for parallelogram ABCD, AB = CD, CB = AD

Since AD = CB (opposite sides of a parallelogram are equal):

x + 8 = 5y + 4

5y - x = 8 - 4

5y - x = 4             (1)

∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:

16 - x + 2y + 13 = 180

2y - x + 29 = 180

2y - x = 180 -29

2y - x = 151             (2)

To find x and y, subtract equation 1 from equation 2:

3y = -147

y = -49

Put y = -49 in equation 2

2(-49) - x = 151

x = -98 - 151

x = -249

Answer:

It could be 768 fl. oz I think?

Step-by-step explanation:

Bennett has 3 gallons of water and Jordan has 3 times as many gallons as bennett

Let's calculate how many gallons do Jordan has

Jordan has 9 gallons of water

every gallon of water contains 128 fluid ounces

Benett has 3 gallons

so  the fluid ounces are given by : 3*128=384

Benett has 384 ounces

Jordan has 9 gallons so 9*128 = 1152

so Jordan has 1152 fluid ounces

Answer:

Volume of the cylinder is 1521π in³

Step-by-step explanation:

Hello,

To find the volume of a cylinder, we need the know the formula used for calculating it.

Volume of cylinder = πr²h

r = radius

h = height

Data,

Radius = 13in

Height = 9in

Volume of a cylinder = πr²h

Now we need to substitute the values into the formula

Volume of a cylinder = π × 13² × 9

Volume of a cylinder = 169 × 9π

Volume of a cylinder = 1521π in³

Therefore the volume of the cylinder is 1521π in³

Answer:

1521

Step-by-step explanation:

Answer :

A. add x, subtract 1, divide by 4

D. subtract 3x, subtract 4, divide by -4

Step-by-step-explanation : Further explanation

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+3x-1=-x+4-1\\Simplify\\3x=-x+3\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\3x+x=-x+3+x\\Simplify\\4x=3\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4x}{4}=\frac{3}{4}\\x=\frac{3}{4}[/tex]

I hope it helps:)

Answer: Intercept (b) = - 2.2567

Step-by-step explanation:

(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6)

Using the online regression calculator :

ŷ = -0.60205X - 2.2567

y is the predictor variable

X - the independent variable

0.60205 = slope or gradient

- 2.2567 = intercept (b) where the line best fit cross the y-axis.

The linear regression line is made using the least-squares method. The value of b is -2.2567.

Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least-squares method.

Given the points of the data(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6).

Now, Since the question states about using the technology, therefore, if we use the online regression calculator:

ŷ = -0.60205X - 2.2567

y is the predictor variable

X - the independent variable

-0.60205 is the value of m which is the slope or gradient of the regression line, while -2.2567 is the value of the intercept of the regression line.

Hence, the value of b is -2.2567.

Learn more About Linear Regression Line:

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Answer:

y = - 49

Step-by-step explanation:

Given

7x - 2y = 35 ← substitute x = - 9 into the equation

7(- 9) - 2y = 35, that is

- 63 - 2y = 35 ( add 63 to both sides )

- 2y = 98 ( divide both sides by - 2 )

y = - 49

Answer:

[tex]\boxed{y = -49}[/tex]

Step-by-step explanation:

=> [tex]7x-2y = 25[/tex]

Given that x = -9

=> [tex]7(-9)-2y = 35[/tex]

=> [tex]-63 -2y = 35[/tex]

Adding 63 to both sides

=> [tex]-2y = 35+63[/tex]

=> [tex]-2y = 98[/tex]

Dividing both sides by -2

=> [tex]y = 98/-2[/tex]

=> [tex]y = -49[/tex]

Answer:

18 types of apartments

Step-by-step explanation:

There are three options for bedrooms (2, 3, or 4), two options for bathrooms (1 or 2), and three options for location (lower, middle, or upper level).

The number of possible different apartments is:

[tex]n=3*2*3\\n=18\ types[/tex]

18 types of apartments are possible.

Answer:

The answer is 3.

Step-by-step explanation:

This is because f(-3) = -(-3) = 3.

Answer:

The answer is None.

Step-by-step explanation:

I took the test on FLVS and I got the answer right.

I hope this helps. I am sorry if you get this wrong.

Answer:

None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.

Step-by-step explanation: