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2 years ago

The graph of y = –0.2x2 is the graph of y = x2.

Mathematics

2 answers:

ycow [4]2 years ago

8 0

Answer:

The graph of y = –0.2x2 is

✔ wider than and opens in the opposite direction of

The graph of y = x2.

Step-by-step explanation:

Edge 2020

fiasKO [112]2 years ago

3 0

The graph of y = –0.2x2 is

✔ wider than and opens in the opposite direction of

the graph of y = x2.

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The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005,

olga55 [171]

Hello. 

-------
Let 2003 be the zero year; then 2005 is the three year, and 2008 the 5 year.
---------------
P = ab^x
---
P(3) = ab^3 = 800000
P(0) = ab^0 = 900000

---
a = 900000
Solve for "b"::
b^3 = 8/9
b = 2/cbrt(9)
----
Equation::
P(x) = 900000^x
----
Ans: P(5) = 900000

Have a nice day

4 0

2 years ago

Marvin find doubles facts, such as 4+4 and 1+1,on the addition table. He colors each sum. What pattern does Marvin make when he

adoni [48]

4+4=8 so 1+1=2 that the answer

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2 years ago

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The volume of a sphere whose diameter is 18 centimeters is 246 324 648 972 π cubic centimeters. If its diameter were reduced by

Dmitry [639]

1/4, since the radius is also halved if the diameter is halved, meaning (radius/2)^2 is radius^2 * 1/4.

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2 years ago

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A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

2 years ago

A barber shop produces 96 haircuts a day. each barber in the shop works 8 hours per day and produces the same number of haircuts

Finger [1]

We know that
A barber shop produces 96 haircuts a day----------> 8 hours per day
so
96/8--------> 12 haircuts per hour

if if the shop's productivity is 2 haircuts per hour of labor
then
12/2---------> 6 barbers

the answer is
6 barbers

7 0

2 years ago