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A dress maker had 27 yards of fabric.If she wanted to use the fabric to make 5 dresses,each using the same amount of fabric how

Alina [70]

Each dress will need 5.4 yards of fabric and the answer lies between 5 and 6

Step-by-step explanation:

Given

Total fabric = 27 yards

Dresses to be made = 5

In order to find the measurement of fabric for one dress, the total fabric will be divided by number of dresses to be made.

So,

$Fabric\ for\ one\ dress = \frac{Total\ fabric}{No.\ of\ dresses}$

$Fabric\ for\ one\ dress = \frac{27}{5}\\=5.4\ yards$

The answer lies between the whole numbers 5 and 6

Hence,

Each dress will need 5.4 yards of fabric and the answer lies between 5 and 6

Keywords: Fractions, Division

Learn more about fractions at:

#LearnwithBrainly

3 0

3 years ago

Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridde

solmaris [256]

Answer:

The function will be: f(n) = 2n

Step-by-step explanation:

An arithmetic sequence is a sequence where the common difference between consecutive terms is same

The sequence according to given information is:

2,4,6...

Here

a_1 = 2

a_2 = 4

a_3 = 6

the common difference will be:

$d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2$

The arithmetic sequence is given by:

$a_n = a_1+(n-1)d$

Putting the values

$a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n$

Hence,

The function will be: f(n) = 2n

4 0

3 years ago

the population in Anna's town was 2,600 last year , this year , the population is 12% greater. what is the population on Anns to

TiliK225 [7]

2912 is the population . when 12% is increase of the Ann's population

5 0

3 years ago

Read 2 more answers

The diameter of an insect cell is 1.7 × 10–11 meter. Ariel wants to find the length of the radius of the cell. If she performs t

Juli2301 [7.4K]

Answer:

8.5E-12

Step-by-step explanation:

According to the Question,

Given That, The diameter of an insect cell is 1.7 × 10^-11 meters.

Ariel wants to find the length of the radius of the cell. Radius Is Half of the Diameter.

Thus, R = D/2 ⇒ (1.7*10^-11)/2 = 0.85× 10^-11
If she performs the calculations on her calculator is 8.5E-12.

6 0

2 years ago

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

3 years ago