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2 years ago

No links please i cant seem to find the answer for this qn

Mathematics

2 answers:

Talja [164]2 years ago

7 0

Answer:

Step-by-step explanation:

Highest common factor of 75 and 90 will be the largest possible length of the square.

75 = 5 * 5 * 3

90 = 3 * 3 * 2 * 5

GCF = 5 * 3 = 15

Length of the side of square = 15 cm

b) Number of squares = Area of sheet ÷ Area of square

$= \frac{75*90}{15*15}\\\\= 5 * 6\\\\= 30$

Total number of square = 30

Rudiy272 years ago

6 0

Answer:

(a) is 15

(b) is 30

75 divide by 15 times 90 divide by 15 is 30

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A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.5$

Compute the probability of selling more than 4 properties in one week.

Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 4) + P(X > 4) = 1$

We want to find $P(X > 4)$ . So

$P(X > 4) = 1 - P(X \leq 4)$

In which

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.000061$

$P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.000854$

$P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056$

$P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222$

$P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000061 + 0.000854 + 0.0056 + 0.0222 + 0.0611 = 0.0898$

Finally

$P(X > 4) = 1 - P(X \leq 4) = 1 - 0.0898 = 0.9102$

91.02% probability of selling more than 4 properties in one week.

8 0

3 years ago

Are the triangles congruent?? Justify the answer

dimulka [17.4K]

Yes because they are at acute angels

6 0

2 years ago

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Brenda has two remote-controlled race cars painted blue and red, respectively.The blue car traveled 54 feet 4 secounds.The red c

Angelina_Jolie [31]

Answer:

The red car is faster compared to the blue car.

The red car is faster by 5.5 feet than the blue car.

Step-by-step explanation:

The objective is to find which car is faster and by how much

Given that:

The blue car traveled 54 feet in 4 seconds; &

The red car traveled 38 feet in 2 seconds.

Let us determine the number of feet traveled in each second for both cases.

For the blue car:

In 1 second, the car will travel = 54/4 feet

In 1 second, the car will travel = 13.5 feet

For the red car:

In 1 second, the car will travel = 38/2 feet

In 1 second, the car will travel = 19 feet

Thus, the red car is faster compared to the blue car.

The distance at which the red car is faster than the blue car = 19 feet - 13.5 feet

= 5.5 feet

4 0

2 years ago

if the letters of Mississippi are put into a bowl what are the theoretical probabilities of choosing each letter

lilavasa [31]

The probability of choosing...

M - 1/11
I - 4/11
S - 4/11
P - 2/11

6 0

2 years ago

Find the product of the complex number and its conjugate. 3 + 3i

irina1246 [14]

First, we are going to find the conjugate of our complex number. Remember that to find the conjugate of a complex number we just need to keep the real part and change the sing of the imaginary part.

We can infer from our problem that the real part of our complex number is 3 and its imaginary part is $3i$ . We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is $3-3i$ .

Next, we are gong to multiply both the complex number and its conjugate using the distributive property:

$(3+3i)(3-3i)=(3*3)-(3*3i)+(3*3i)-(3i*3i)=9-9i+9i-9i^2=9-9i^2$

Remember that $i^2=\sqrt{-1}^{2} =-1$ , so:

$9-9i^2=9-9(-1)=9+9=18$

We can conclude that the product of the multiplication of the complex number 3+3i and its conjugate, 3-3i, is 18.

6 0

3 years ago

Read 2 more answers