In a shoe factory, 2.4% shoes made are defective. If the company made 10,000 shoes then the number of defective pieces are

How would you solve this?

finlep [7]

Answer:the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Step-by-step explanation:

Data:

a) Pensioners who have had a flu jab = $\frac{3}{5}$

b) Pensioners who did not had a flu jab = 1 - $\frac{3}{5}$ = $\frac{2}{5}$

For the first pair of arrows: a is the probability of the upper arrow and b is the probability of the lower arrow.

If pensioner have had a flu jab, the probability of catching flu is $\frac{1}{30}$

Data:

c) Catching flu = $\frac{1}{30}$

d) Not catching flu = 1 - $\frac{1}{30}$ = $\frac{29}{30}$

The second pair of arrows on the top: Top arrow is c and bottom arrow is d

If pensioner did not have a flu jab, the probability of catching flu is $\frac{7}{10}$

Data:

e) Catching flu = $\frac{7}{10}$

f) Not catching flu = 1 - $\frac{7}{10}$ = $\frac{3}{10}$

The second pair of arrows on the bottom: Top arrow is e and bottom arrow is f.

Q) Probability pensioner catches a flu

P(catches the flu given that he had the flu jab) + P(catches the flu given that he did not have the flu jab)

( $\frac{3}{5}$ x $\frac{1}{30}$ ) + ( $\frac{2}{5}$ x $\frac{7}{10}$ )

= 0.02 + 0.28

= 0.3

Therefore, the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Keyword: Probability

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5 0

3 years ago

A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.

blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0

3 years ago

Do lines that intersect have a solution ? & how many

Marina CMI [18]

Answer:

Step-by-step explanation:

yes the value of x and y of the intersection point is the solution.

8 0

3 years ago

Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards

kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

$Area \ of \ rectangle = Length\times breadth$

$=234\times1 =234 \ square \ yards$

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

$\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards$

Therefore, 117 square yards of her garden has roses.

5 0

3 years ago

On January 1st, the high temperature was 81 °F in kona, hawaii. the low temperatures was 29 °F in Barrow, Alaska. What was the d

Elena L [17]

Answer:

52 Degrees

Step-by-step explanation:

Subtract 29 (lower number) from 81 (higher number). This will often give you the difference (52) between the two measurements.

7 0

2 years ago