2. A doctor created a scatterplot to show the relationship of heart rate to

A researcher studying microorganisms has discovered a strain of bacteria that doubles every 2.8 days. How many bacteria will the

Luden [163]

Answer:

3960.4 bacteria

Step-by-step explanation:

The formula to solve the above question is given as:

P(t) = Po (2) ^t/k

P(t) = Population after time t = ?

Po = Initial population = 650 bacteria

t = Time in days = 7.3 days

k = doubling time = 2.8 days

P(t) = 650 × (2)^7.3/2.8

P(t) = 650 × 2^2.6071428571

P(t) = 650 × 6.0929582599

P(t) = 3960.4228689 bacteria.

Approximately = 3960.4 bacteria

Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.

4 0

3 years ago

Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe

omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.

If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, $H_1$ : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

P-value = P(Z < -1.68) = 1 - P(Z $\leq$ 1.68)

= 1 - 0.95352 = 0.0465

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which we reject the null hypothesis.

(b) Now, we are given alternate hypothesis, $H_1$ : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

P-value = P(Z > 0.41) = 1 - P(Z $\leq$ 0.41)

= 1 - 0.6591 = 0.3409

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which we fail to reject the null hypothesis.

5 0

3 years ago

Solve −x+5≤4 or 2x+3≥−1. Note: Write the solution in interval notation.

Anastasy [175]

Answer:

[1 , +∞)

Step-by-step explanation:

$-x+5\leq 4\\x\geq 1\\2x+3\geq -1\\x\geq 1\\\\$

8 0

3 years ago

A conditional statement is logically equivalent to a biconditional statement. True False pls help i have a test and i was absent

andreyandreev [35.5K]

Answer:

false.

Step-by-step explanation:

A conditional statement is something like:

If P, then Q.

This means that if a given proposition P is true, then another proposition Q is also true.

An example of this is:

P = its raining

Q = there are clouds in the sky.

So the conditional statement is

If its raining, then there are clouds in the sky.

A biconditional statement is:

P if and only if Q.

This means that P is only true if Q is true, and Q is only true if P is true.

So, using the previous propositions we get:

Its raining if and only if there are clouds in the sky.

This statement is false, because is possible to have clouds in the sky and not rain.

(this statement implies that if there are clouds in the sky, there should be rain)

Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.

Then these statements are not logically equivalent.

The statement is false.

3 0

3 years ago

Complete the rule: positive + negative -

aivan3 [116]

Answer: If you have a positive and a negative, there is one dash left over, and the answer is negative.

7 0

3 years ago

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