Which figure can be formed from the net?

A polling company reported that 33% of 2302 surveyed adults said that they play basketball. Complete parts (a) through (d) be

Evgen [1.6K]

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

$33\% \text{ of } 2302$ = $\frac{33}{100}\times 2302$

= 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

= $\frac{272}{2302}\times 100$ = 11.82% ≈ 12%

3 0

3 years ago

What is the mode of the following numbers? 4,9,6, 3, 4,2

Alexxx [7]

Answer:

4

Step-by-step explanation:

Whichever number appears the most in the list of numbers which in this is 4

3 0

2 years ago

Can you step by step solve 20x+12=4x-16

Murljashka [212]

Answer:

x = - $\frac{7}{4}$

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = $\frac{-28}{16}$ = - $\frac{7}{4}$ [ = - 1.75 ]

4 0

3 years ago

A particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams. The heavies

RoseWind [281]

Answer:

The heaviest 5% of fruits weigh more than 747.81 grams.

Step-by-step explanation:

We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.

Let X = weights of the fruits

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean weight = 733 grams

$\sigma$ = standard deviation = 9 grams

Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;

P(X > x) = 0.05 {where x is the required weight}

P( $\frac{X-\mu}{\sigma}$ > $\frac{x-733}{9}$ ) = 0.05

P(Z > $\frac{x-733}{9}$ ) = 0.05

In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;

$\frac{x-733}{9}=1.645$

${x-733}}=1.645\times 9$

$x = 733 + 14.81$

x = 747.81 grams

Hence, the heaviest 5% of fruits weigh more than 747.81 grams.

8 0

2 years ago

a gardener has 322 tulip bulbs she wants to plant rows of 15 bulbs how many bulbs can be planted how many bulbs will she have le

Elden [556K]

Answer:315 bulbs planted and 7 left over

Step-by-step explanation:322/15 = 21.44

Roughly around 21 rows.

21 x 15 = 315 bulbs planted

322 - 315 = 7 bulbs left over

3 0

2 years ago