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Sloan [31]
3 years ago
11

Suppose the population of a certain city is 4251 thousand. It is expected to decrease to 3360 thousand in 50 years. Find the per

cent decrease.
Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:

22.77%

Step-by-step explanation:

4351-3360 / 4351 x 100 = 22.77%

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Nat2105 [25]
Vertical angles congruence theorem, then SAS
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3 years ago
Maya has 120 caramel apples to sell. Each caramel apple is covered with one toppin.
EleoNora [17]

they got sold by her

Step-by-step explanation:

lol she sold her apples to people

5 0
3 years ago
The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran
VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, X = "Comprehensive strength of concrete". We have information that X is normally distributed with a mean of 2500 psi and a standard deviation of  50 psi (or a variance of 2500 psi). In other words, X \sim N(2500, 2500).

We want to know the probability of the mean of X or \bar{X} that falls in the interval [2499;2510]. From inference theory we know that :

\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)

Now we can find the probability as follows:

P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )

Where Z \sim N(0,1), then:

P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798

8 0
3 years ago
Plz help asap real quick i will put you as brainlist
professor190 [17]

Answer:

21/8*2= 5 2/8 or 5 1/4

Step-by-step explanation:

Divide fraction so keep change flip

make them improper

21/8 * 2

42/8

5 2/8

5 1/4

3 0
3 years ago
Read 2 more answers
Solve the following systems: 3x+4y=0 2x+3y=1
yanalaym [24]

Answer:

Answer is x= -4 and y= 3

Step-by-step explanation:

given \: equations \: are \\ 3x + 4y = 0 \:  \: and \: 2x + 3y = 1  \\ multiply \: by \: 2 \: in \: first \: equation \\ 6x + 8y = 0 \\ multiply \: by \: 3 \: in \: second \: equation \\ 6x + 9y = 3 \\ subtracting \: the \: above \: mentioned \: equation \:  \\  we \: get \:  - y =  - 3 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  y = 3 \\ substitute \: y = 3 \: in \: first \: equation \\ 3x + 4(3) = 0 \\ 3x =  - 12 \\ x =  - 4

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

7 0
2 years ago
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