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jarptica [38.1K]

2 years ago

12

Of 600 students sampled, 480 said they hoped to own a house someday. With 99.7% confidence, what is the approximate percentage o

f the students in the population who hope to own a house someday?
A. 73.5% to 86.5%
B. 75.1% to 84.9%
C. 76.7% to 83.3%
D. 78.4% to 81.6%

1 answer:

s344n2d4d5 [400]2 years ago

6 0

Answer:b

Step-by-step explanation: i just answered it

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If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points

sdas [7]

Answer:

Option D 6 is the answer.

Step-by-step explanation:

the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.

This ca be calculated in two ways.

(1) We will form the line segments

AB, AC, AD, BC, BD, DC

Therefore 6 segments can be formed.

(2) By combination method

Number of segments = $^{4}C_{2}$

= $\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}$

= $\frac{4\times 3}{2\times 3}=\frac{12}{2}$

= 6

Option D 6 is the answer.

8 0

3 years ago

Read 2 more answers

I need help plz help me

Marta_Voda [28]

Answer:

3000g

hope this helps

7 0

3 years ago

alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}$

and a, b and c are the three sides of the triangle

Area of triangle ABD = $s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33$

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

6 0

3 years ago

Read 2 more answers

a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo

allochka39001 [22]

The water will last for 3 days

<em><u>Solution:</u></em>

Given that, village having a population of 4000, requires 150 litres of water per head per day

<em><u>Let us first find the volume of tank</u></em>

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

$volume\ of\ tank = length \times breadth \times height$

$Volume\ of\ tank = 20 \times 15 \times 6 = 1800$

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

<em><u>Therefore, water required for 4000 people per day is:</u></em>

$\rightarrow 4000 \times 150 = 600000 \text{ liters }$

Convert to meters

$600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3$

<em><u>How many days will the water of this tank last?</u></em>

$\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}$

$\text{Number of days water will last } = \frac{1800}{600} = 3$

Thus the water will last for 3 days

5 0

3 years ago

Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight

jasenka [17]

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.

It means they are travelling at a constant rate.

Slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is

$m=\frac{38-34}{3-1}=2$

It means the Brian's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is

$m=\frac{31-27}{3-1}=2$

It means the Kelsey's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is

$m=\frac{33-27}{3-1}=3$

It means the Geoff's car traveled at the rate of 3 cm per sec.

Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.

7 0

3 years ago

Read 2 more answers