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Pachacha [2.7K]
2 years ago
14

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

a after 10 hours?
graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight

HELPPP please
Mathematics
2 answers:
mixas84 [53]2 years ago
4 0

Answer:

1024

Step-by-step explanation:

(0,1)

(1,2)

(2,4)

(3,8)

(4,16)

(5,32)

(6,64)

(7,128)

(8,256)

(9,512)

(10,1024)

Nady [450]2 years ago
3 0

Do you notice anything strange about those points ?

(0, 1), 
(1, 2), 
(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the  power of the x-coordinate.

First point:       x=0,  y=2⁰ = 1
Second point: x=1,  y=2¹ = 2
Third point:      x=2,  y=2² = 4
Fourth point:    x=3,  y=2³ = 8


The equation of the curve appears to be

                               y = 2 ^ x .

So, after 10 hours,  x=10, and  y = 2¹⁰ = 1,024 .

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The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the
Vika [28.1K]

Answer:

The value of the test statistic is t=1.12.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.

The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.

The difference between sample means is Md=0.64.

M_d=M_1-M_2=2.65-2.01=0.64

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1.72^2+1.89^2}{20}}\\\\\\s_{M_d}=\sqrt{\dfrac{6.531}{20}}=\sqrt{0.327}=0.571

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.64-0}{0.571}=\dfrac{0.64}{0.571}=1.12

5 0
2 years ago
In a random sample of 8 people with advanced degrees in biology, the mean monthly income was $4744 and the standard deviation wa
eimsori [14]

Answer: u= ( 4342.08, 5145.92).

Step-by-step explanation: the population mean is estimated using the sample by the formulae assuming a 95% confidence level

u = x' + Zα/2 * (√σ/n) or x' - Zα/2 * (√σ/n)

u = estimated population mean

x' = sample mean = 4744

n = sample size =8

σ = sample standard deviation. = 580

α = level of significance = 1- confidence level = 1-0.95= 0.05

Zα/2 = z score from the normal distribution table for a 2 tailed test = 1.96

First boundary value for interval

u = 4744 + 1.96 ( 580/√8)

u = 4744 + 1.96 * (205.0609)

u = 4744 + 401.92

u = 5145.92

Second boundary value for interval

u = 4744 - 1.96 ( 580/√8)

u = 4744 - 1.96 * (205.0609)

u = 4744 - 401.92

u = 4342.08

Thus the confidence interval for population mean is

u= ( 4342.08, 5145.92).

3 0
2 years ago
HELP PLEASE I NEEED HELP!!!!
Nina [5.8K]
It is d just trust me
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Mr. Peter charges $2.25 for the usage of laptop for 9 hours. How much Victor needs to pay for 15 hours of usage?
Papessa [141]

Answer:

3.75

Step-by-step explanation:

2.25 divided by 9

= 0.25

then

0.25 * 9

= 3.75

5 0
2 years ago
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