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1 year ago

Cei asked 80 people which mode of transport they used to get into town, out of

Mathematics

1 answer:

Sunny_sXe [5.5K]1 year ago

7 0

Answer: Total number person using bus = 16 + 2 = 18

Hence, Total number person using bus to get to town is 18 .

Step-by-step explanation:

Given :

Total number of people = 80

Total number of male = 24

Number of male who use bicycle = 11

Number of female who use bus = 16

Number of people use car = 28

Number of female who use car = 17 out of 28

To find :

The number of people use bus to get to town

Solution :

Number of female who use bus = 16 ..........1

Number of female who use car = 17

Number of female use bicycle =

Number of male uses bicycle = 11

As Total number of male = 24

So, rest of male use either bus or car = 24 - 11 = 13

Since

number of people use car = 28

And number of female use car = 17

So, Number of male use car = 28 - 17 = 11

Again

As 11 male using car, so from 13 male using either car or bus

Number of male using bus = 13 - 11 = 2

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Given circle X with radius 5 units and chord AB with length 8 units, what is the

kvv77 [185]

Answer: The correct option is (B) 3.

Step-by-step explanation: We are given a circle X with radius 5 units and chord AB with length 8 units.

We are to find the length of segment XC that bisects chord.

We know that the line segment drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord.

So, in the given circle X, the segment XC is perpendicular to chord AB. Then, triangle XCB will be a right angled triangle with hypotenuse XB.

Since XC bisects AB, so the length of BC will be

$BC=\dfrac{AB}{2}=\dfrac{8}{2}=4~\textup{units}.$

And, radius, XB = 5 units.

Using Pythagoras theorem in triangle XCB, we have

$XB^2=XC^2+BC^2\\\\\Rightarrow XC^2=XB^2-BC^2\\\\\Rightarrow XC^@=5^2-4^2\\\\\Rightarrow XC^2=9\\\\\Rightarrow XC^2=3^2\\\\\Rightarrow XC=3.$

Thus, the length of the segment XC is 3 units.

Option (B) is CORRECT.

3 0

2 years ago

A dartboard has 10 equally sized slices numbered from 1 to 10. Some are grey and some are white. The slices numbered 1,2 ,3 ,5 ,

hram777 [196]

Answer:

P(X) is 7/10

P(not X) is 3/10

Step-by-step explanation:

The total is 10 so thats ur denominator

The probability of landing on a grey area is 7/10

The probability of not landing on a grey area is 3/10

Hope this helps

5 0

2 years ago

1. Kim works as a book keeper and creates invoices for a variety of companies. Help Kim find the total

Zanzabum

This is about calculation of invoice.

1) Total for the invoice = $2641.25

2) Total for the invoice = $30

3) Total for the invoice = $1925

1) 12 cameras for $200 each

Amount for cameras = 12 × 200 = $2400

25 cables with length of 10 ft each cost $1.25

Amount for 10 ft cables = 25 × 1.25 = $31.25

12 ft specialty cables cost $1.75 per foot

10 of these cables will have length =12 × 10 = 120 ft

Amount for 10 of these cables = 1.75 × 120 = $210

Total for the Invoice = $2400 + $31.25 + $210

Total for the invoice = $2641.25

2) 250 yards of rope costs $500.

Thus, price per yard = 500/250 = $2 per yard

For a customer that wants 15 yard;

Total for the invoice = 15 × $2 = $30

3) Dump truck is rented for $275 per hour. And the minimum is 2 hours per day. This means that anything less than 1 hour, the money paid must be money for 2 hours.

Thus;

On monday; 1 hour will cost; 2 × $275 = $550

On Tuesday; 3 hours will cost; 3 × $275 = $825

On wednesday; 2hours will cost; 2 × $275 = $550

Total for the invoice = 550 + 825 + 550 = $1925

Read more at; brainly.com/question/17745127

8 0

1 year ago

ANSWER ALL 5 PARTS.

N76 [4]

A function $f$ from a set A to a set B is defined as a relation that assings to each element $x$ in the set A exactly one element $y$ in the set B. The set A is called the domain of the function while the set B is the range. So we have five statements and need to find some functions. Melissa decides to reserve a patch in her vegetable garden for growing bell peppers. If each side of the tomato patch is $x$ feet, then we have a square patch as shown in the Figure below.

1.a) Write the function Wa(x) representing the width of the bell pepper patch.

We know that she wants its width to be half the width of the tomato patch. Let $x$ be the width of the tomato patch, then the function that matches this statement is:

$\boxed{Wa(x)=\frac{x}{2}}$

1.b) Write the function La(x) representing the length of the bell pepper patch.

In this case Melissa wants its length to exceed the length of the tomato patch by 2 feet. To do this we enlarge the length of the tomato patch 2 feet. Therefore the function is the following:

 $\boxed{La(x)=x+2}$

2. Area of the bell pepper patch in terms of x.

Given that the bell pepper patch is a rectangle, then the area of a rectangle is the product of the length and width. So:

 $A=(\frac{x}{2})(x+2) \\ \\ \therefore \boxed{A=\frac{x(x+2)}{2}}$

3. Combined area of the tomato patch and the bell pepper patch.

This function is the sum of both the area of the tomato patch and the bell pepper patch. So:

 $Aar(x)=x^{2}+\frac{x(x+2)}{2} \rightarrow Aar(x)=x^{2}+ \frac{x^{2}}{2}+x \rightarrow Aar(x)=\frac{3x^{2}}{2}+x \\ \\ \therefore \boxed{Aar(x)=\frac{x(3x+2)}{2}}$

4. Write the function Aa(x) for the remaining planting area in the garden.

The remaining planting area in the garden are the rectangles in red. So we need to subtract the width of the bell pepper patch from the width of the tomato patch and multiply it by 2. In mathematical language this is given by:

 $Aa(x)=2(x-\frac{x}{2}) \rightarrow Aa(x)=x$

5. Find the area of the remaining space in the garden after planting tomatoes and bell peppers.

Given that Melissa wants the area of the bell pepper patch to be 31.5 square feet, then it is true that:

 $31.5=\frac{x(x+2)}{2} \rightarrow x^{2}+2x-64=0 \\ \\ solving \ for \ x: \\ x=7.06$

Therefore the area of the remaining space is:

 $\boxed{Aa(7.06)=7.06ft^{2}}$

6 0

2 years ago

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be model

ohaa [14]

Answer:

(2, 11/2)

Step-by-step explanation:

This is a vertical parabola; we know that because x is squared here, while y is not. The standard equation of a vertical parabola with vertex (h,k) is

4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus. Comparing

4p(y-k) = (x-h)^2 to

10(y-3) = (x-2)^2, we see that 4p = 10. Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.

Since the coordinates of the vertex are easily read from the given equation

(x-2)^2=10(y-3): (h,k) = (2, 3)

all we need to do is to add p (5/2) to the y-coordinate (3);

The focus is at (2, 3 + 5/2), or (2, 11/2).

3 0

1 year ago