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Galina-37 [17]
3 years ago
10

Plzzzzzz ans this quickly plzz

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Step-by-step explanation:

8.

Prime factorization of 48 is :

48=2\times  2 \times  2 \times  2 \times  3\\\\=2^4\times  3^1

Option (3) is true.

9.

Prime factorization of 19 is:

19 = 19 × 1

Option (c) is correct.

(10).

Prime factorization of 924 is:

924 = 2 x 2 x 3 x 7 x 11

= 2² x 3¹ x 7¹ x 11¹

Hence, this is the required solution.

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Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
2 years ago
Natalie has 500 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling th
Contact [7]

1. Writing p as a function of c gives

P =2c-250

Where C is the number of candy bar

P is the number of candy bar sold.

2. This is expressed as

0 =< C <= 250

3. This is expressed as

0 =< C =< 250

4. Amount made from selling candy bar in the set of interger between 0 to 500

C is given as 500

From the equation P=2C-250

P=2×500-250

P=1000-250 =750.

P=750

5. Amount made selling candy bar for the set of real numbers between 0 and 250

C is equal to 250

From the equation, we have

P=2×250-250

P=500-250 =250.

4 0
2 years ago
Melissa has 350 in her savings account. she decides that she will put the same amount of money each month into her account.Her g
Ray Of Light [21]
C = 350+xm 
mc=350+x 
m = (350+x)/c
7 0
3 years ago
Find the exact value of csc(-1860).
Alex787 [66]
Now, there are 360° in a circle, how many times does 360° go into 1860°?

well, let's check that,   \bf \cfrac{1860}{360}\implies \cfrac{31}{6}\implies 5\frac{1}{6}\implies 5+\frac{1}{6}

now, this is a negative angle, so it's going clockwise, like a clock moves, so it goes around the circle clockwise 5 times fully, and then it goes 1/6 extra.

well, we know 360° is in a circle, how many degrees in 1/6 of 360°?  well, is just 360/6 or their product, and that's just 60°.

so -1860, is an angle that goes clockwise, negative, 5 times fully, then goes an extra 60° passed.

5 times fully will land you back at the 0 location, if you move further down 60° clockwise, that'll land you on the IV quadrant, with an angle of -60°.

therefore, the csc(-1860°) is the same as the angle of csc(-60°), which is the same as the csc(360° - 60°) or csc(300°).

\bf csc(300^o)\implies \cfrac{1}{sin(300^o)}\implies \cfrac{1}{-\frac{\sqrt{3}}{2}}\implies -\cfrac{2}{\sqrt{3}}&#10;\\\\\\&#10;\textit{and if we rationalize the denominator}\qquad -\cfrac{2\sqrt{3}}{3}
3 0
3 years ago
How does changing the value of m affect the graph of an equation in the form y=mx b?
polet [3.4K]
M represents the slope of a line, changing the slope to positive will make it an incline and changing it to negative will make it a decline. If the slope is a fraction, the smaller the numerator, the steeper the line, the larger the numerator, the less steep the line is.
8 0
3 years ago
Read 2 more answers
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