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1 year ago

Two less than the product of 9 and a number

Mathematics

1 answer:

Yanka [14]1 year ago

6 0

Answer:

2-9=x

HOW

let the number be x

then 2 less than product 9

2-9

and a number

we don,t know number so take it x

so 2-9=x

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A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

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

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

3 0

3 years ago

If Anna have 8000 and gave jim 300 and bought some items a shoes for 290 a suit for 400 and a phone for 2000

vovangra [49]

Answer: Assuming the unit is dollars, the answer would be $5,010.

Explanation:

Step 1: 8000-300 is 7700.

Step 2: 7700-290 is 7410

Step 3: 7410-400 is 7010

Step 4: 7010-2000 is 5010

So, the answer is Anna has $5,010 dollars left after giving Jim $300, buying shoes for $290, a suit for $400 and spending $2,000 dollars on a new phone.

6 0

3 years ago

What is t÷5-4=9 what is t ??

Sophie [7]

Add 4 to boh sides
t/5+4-4=9+4
t/5+0=13
t/5=13
times 5/1 both sides
5t/5=5*13
1t=65

t=65

7 0

2 years ago

A 100-meter-long christmas train needs 30 seconds to cross a 400-meter-long bridge. assuming the train goes at a steady speed, h

san4es73 [151]

Length of train : 100
length of bridge : 400
distance covered by the train to cross the bridge : (100 + 400) = 500
time taken by the train to cross : 30

speed = distance / time
speed = 500/30
speed = 16.67 meters per second <===

8 0

2 years ago

The sum of two numbers is 981. One of the numbers is 703. What is the other number?

victus00 [196]

Answer:

Other number is 278.

Step-by-step explanation:

Given that

a + b = 981

One of the numbers = 703

We assume that it is a ; So

a = 703

Other number = b = ?

Put value of a in a + b

a + b = 981

703 + b = 981

b = 278

6 0

3 years ago