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gladu [14]
2 years ago
5

Leslie purchased a new bar of soap. Three days after she originally used

Mathematics
1 answer:
Ber [7]2 years ago
7 0

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

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Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
Vedmedyk [2.9K]

Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

7 0
3 years ago
Use the elimination to solve this equation. <br><br> 2x+3y=55 <br> 9x+4y=105
seropon [69]
X=5 y=15 (5,15). 
This is how you do it:
-4(2x+3y=55): -8x-12y=-220
3(9x+4y=105):27x+12y=315

You add the two new equations together, canceling out the y values, and get the x value. Then, you go back and plug in the x value in the original equation to get the y value.

6 0
2 years ago
2(x + 1 ) - 3(x + 5) ≥ 0<br> pls help
Furkat [3]

Answer:

x≤−13

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

6 0
2 years ago
Which ordered pair (a,b) is a solution to the given system of linear equations.
egoroff_w [7]

Answer:

A. (-13,-3)

Step-by-step explanation:

Solve the system of two equations:

\left\{\begin{array}{l}-2a+3b=14\\a-4b=3\end{array}\right.

From the second equation:

a=3+4b

Substitute it into the first equation:

-2(3+4b)+3b=14\\ \\-6-8b+3b=14\\ \\-8b+3b=14+6\\ \\-5b=20\\ \\5b=-20\\ \\b=-4

So,

a=3+4b=3+4\cdot (-4)=3-16=-13

The solution is (-13,-4)

6 0
3 years ago
Read 2 more answers
Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string
Nadya [2.5K]

Answer:

The kite is 202.7 feet above the ground

Step-by-step explanation:

The scenario is depictedd in the picture attached

we have to find the height.

Trigonometric ratios will be used to find the height.

So,

sin\ (42.5) = \frac{h}{300}\\ 0.6756=\frac{h}{300}\\0.6756*300=h\\202.68 = h

The height is 202.68 feet

Rounding off to the nearest tenth

202.7 feet

Therefore, the kite is 202.7 feet above the ground ..

3 0
3 years ago
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