Isabel bought a new jacket for $48 before tax. She paid 6.5% in sales tax. How much was the sales tax?

Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of

OLga [1]

Answer:

probability that his sample will contain at least one damaged apple (P) = 0.7215

Step-by-step explanation:

Given:

Probability of damaged apples (p) = 12% = 0.12

number of samples (n) = 10

Consider,

x- number of apples damaged.

Using Binomial distribution formula:

P(x) = $(nCx) (P)^x (1-p)^(n-x)$

To find the probability that his sample will contain at least one damaged apple:

P(x≥1) = 1 - P(x<1)

= 1 - P(x=0)

= 1 - $10C_0 (0.12)^0 ( 1-0.12)^(10)$

P(x≥1) = 0.7215

4 0

3 years ago

Which of the following sets of lengths could not be the side lengths of a triangle?

docker41 [41]

To find out if the three side lengths can create a triangle, the three smaller lengths must be greater than the longer length.

$\bf~Option~A$

$\sf~3~meters,5~meters,7~meters$

$\sf3+5=8>7$

So this can create a triangle.

$\bf~Option~B$

$\sf1~yard,1.25~yards,1.5~yards$

$\sf1+1.25=2.25>1.5$

So this can create a triangle.

$\bf~Option~C$

$\sf5~inches,10.5~inches,17~inches$

$\boxed{\sf5+10.5=15.5$

So this cannot create a triangle.

$\bf~Option~D$

$\sf15~millimeters,18~millimeters,30~millimeters$

$\sf15+18=33>30$

So this can create a triangle.

Therefore, your answer is Option C.

8 0

3 years ago

Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 m

AVprozaik [17]

Answer:

7.5

Step-by-step explanation:

The relation between time, speed, and distance is ...

time = distance/speed

If distance is "1 round trip", then the time going is ...

going = 0.5/(10 mi/h) . . . . for 1/2 round trip

and the time coming is ...

coming = 0.5/(6 mi/h)

Then the average speed for the full round trip is ...

speed = distance/time

average speed = 1/(going + coming) = 1/(0.5/10 +0.5/6) mi/h

= 1/((3+5)/60) mi/h

= 60/8 mi/h = 7.5 mi/h

Jack's average speed for the round trip was 7.5 mph.

7 0

3 years ago

What is the second step in costructing congruent angles?

sattari [20]

Answer:

Given an angle formed by two lines with a common vertex, this page shows how to ... The above animation is available as a printable step-by-step instruction sheet, which can be ... This construction works by creating two congruent triangles

Step-by-step explanation:

3 0

3 years ago

Based on the graph, which inequality is correct for a number that is to the right of -4

Anon25 [30]

2 > -4

2 is greater than -4

3 0

3 years ago