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Zahra has paper rectangles of different sizes. Every rectangle is 5 centimeters longer than it is wide. Is there a proportional

Alika [10]

Answer: The answer is NO. Explained below.

Step-by-step explanation: Given that Zahra has a number of rectangles of different sizes which are made of paper. Also, the length of every rectangle is 5 cm more than its breadth.

We are to find whether the relationship between lengths and breadths of rectangles is proportional or not.

Let, 'l' represents the length and 'b' represents the breadth of any of these rectangles, then according to the given information, we can write

l = b + 5.

For a proportional relationship, we need a relation of the form

l = k × b, which is not always possible in the given case.

For example, if l = 8, b = 3, and l=9, b=4 then we cannot write

l = k × b, for a constant k.

Hence there is no proportional relationship between the lengths and widths of these rectangles.

Thus, the answer is NO. Hence explained.

5 0

3 years ago

Read 2 more answers

If P(A)=1/3, P(B)=2/5, what is P(A^B)? A.2/15 B.3/15 C.1/15 D.11/15

Karo-lina-s [1.5K]

I think that it is A.

~ThePirc

6 0

4 years ago

A and B working together complete a work in 35 days. If A takes 60 days to complete it, how long would B alone tale to complete

svp [43]

Answer:

Efficiency (Work done per day) for :

( ˘ ³˘)/

A & B together = 1/35th

A alone = 1/60th

Thus, efficiency of B alone = Total - A’s efficiency

Step-by-step explanation:

OR Efficiency of B alone = (1/35) - (1/60) = 6/210 - 3.5/210 = 2.5/210 = 1/84th

Hence, since B completes 1/84th work daily, he would take 84 days to complete the work alone.

7 0

3 years ago

In 4 weeks, Mark earns an average of $400 per

deff fn [24]

4x = 400 —> x = 100 weeks 1-4
400 + 2y = 500
2y = 100
y = 50 weeks 5-6

Last three weeks
Week 4 100
Week 5 50
Week 6 50

He earned about $200

7 0

2 years ago

Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability

galina1969 [7]

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

$X \sim Bin(n = 1200,p =0.3)$

The Binomial can be approximated to normal with:

$\mu = np = 1200 \times 0.3 \\ \\ \mu= 360$

$\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875$

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, $\mu$ = 360, $\sigma$ = 15.875

Using the z test statistics;

$z = \dfrac{x - \mu}{\sigma}$

$z = \dfrac{347.5 - 360}{15.875}$

$z = \dfrac{-12.50}{15.875}$

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

3 0

3 years ago