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3 years ago

If (2x − 4)(3x + 2) = 0, what are all possible values of x ?

Mathematics

2 answers:

Harman [31]3 years ago

8 0

Answer:

x=2 x = -2/3

Step-by-step explanation:

(2x − 4)(3x + 2) = 0

using the zero product property

2x-4= 0 3x+2 =0

2x=4 3x=-2

x=2 x = -2/3

EleoNora [17]3 years ago

7 0

I am doing it right now

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The number 21 is what percent of 75

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Answer:

28 percent

Step-by-step explanation:

To find what percentage of a number another number is, you can basically just divide it, 21/75 then you can multiply it by 100, so 21/75=0.28, and then 0.28*100=28, 21 is 28 percent of 75

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3 years ago

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4 years ago

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kolezko [41]

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3 years ago

: In a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket du

scoundrel [369]

Answer:

The point estimate for p is 0.86.

Step-by-step explanation:

We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).

Let p = proportion of all women shoppers who remain loyal to their favorite supermarket

Now, the point estimate for the population proportion (p) is represented by ;

Point estimate for p = $\hat p$ = $\frac{X}{n}$

where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628

n = sample of women shoppers = 730

So, point estimate for p ( $\hat p$ ) = $\frac{X}{n}$

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4 0

3 years ago

A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe

kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

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3 years ago