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crimeas [40]
4 years ago
14

What is the simplified expression for 5 a b + 9 a b minus a b?

Mathematics
1 answer:
aalyn [17]4 years ago
4 0

Answer:

13ab

Step-by-step explanation:

When you add the 5 and 9 it will give you 14 but you still have to subtract the 1ab(there is a 1 in front of variables that don't have a visible number.) So it will be 13 a b.

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A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
kotegsom [21]

Answer: 68

Step-by-step explanation:

Formula for sample size when prior estimate of population proportion (p) is available:  n=p(1-p)(\dfrac{z^*}{E})^2

, where z*= critical-value.

E= Margin of error.

Let p be the population proportion of  trees are infected with the citrus red mite.

As per given , we have

p=\dfrac{1}{5}=0.2

E= ± 0.08

The critical z-value corresponding to 90% confidence level = z*=1.645

Substitute all the values in the above formula , we get

Required sample size  :n=(0.2)(1-0.2)(\dfrac{(1.645)}{0.08})^2

\Rightarrow\ n=(0.2)(0.8)(20.5625)^2

\Rightarrow\ n=0.16(422.81640625)\\\\\Rightarrow\ n=67.650625\approx68 [Rounded to next integer.]

Thus, the minimum sample size should be taken =68

6 0
3 years ago
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the e
inessss [21]

Answer:

It is the second graph.

Step-by-step explanation:

8 0
3 years ago
the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer
Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = vi t + \frac{1}{2} at^{2}

d = distance      vi = initial velocity (m/s)    

t = time (s)     a = acceleration (m/s^{2})

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/s^{2} since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + \frac{1}{2} (9.81m/s^{2})(t)

220.98m = (4.905m/s^{2})(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0
2 years ago
Change to standard form. Please help, ty! Will mark brainliest!
soldier1979 [14.2K]

Step-by-step explanation:

6. 7x + 7y = -11

7. -1x + 8y = 12

8. 9x + 11y = -7

7 0
3 years ago
09:30 to 17:00 minus 30 minutes <br> How many hours is that ?
pentagon [3]

Answer:

7 hours

Step-by-step explanation:

9 : 30 to 17:00 = 7 hours 30 minutes

Minus 30 minutes = 7 hours

6 0
3 years ago
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