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3 years ago

Given the function f(x)=-5x^2+2x+9,find f(1) and f(2) Choose the statement that is true concerning these two values

2 answers:

6 0

F(1) = -5(1)^2+2(1)+9 = 6
f(2) = -5(2)^2+2(2)+9 = -9

So, because f(1) = 6 is positive and f(2) = -9 is negative, f(1) > f(2).

f(1) is greater than f(2)!

Dmitry_Shevchenko [17]3 years ago

3 0

Answer: F(1) is greater than F(2),

Hope this helps!

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In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

Let p = proportion of adults who totally abstain from alcohol.

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, test statistics = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

A die was rolled 75 times with the following resulted: It landed on one-18 times, two-10 times, four-11 times, five-14 times, an

RoseWind [281]

Answer: 15 Times

Step-by-step explanation: It's 15 Times because if you add all of the other rolled times together you'll get 60 and 75-60=15.

7 0

3 years ago

Solve the following system of equations by elimination. What is the value of y?

svetoff [14.1K]

PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF. PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF. PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF. PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF. PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF. PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF. PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF. PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF.

7 0

3 years ago

Read 2 more answers

A stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick

umka21 [38]

Find the scale factor of the height:

6.5cm / 2.5cm = 2.6

Multiply the known pages by the scale factor:

150 x 2.6 = 390 pieces of paper.

5 0

3 years ago

____<9 ____ >6 which whole numbers will make both statements true

4vir4ik [10]

Answer:

8 and 8

Step-by-step explanation:

8 is less than 9

8 is more than 6

6 0

3 years ago