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3 years ago

Exponetial funtion is

1 answer:

4 0

An exponential function in mathematics is an exponential function is a function of the form where b is a positive real number, and in which the argument x occurs as an exponent. So its a function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

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A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to

Vaselesa [24]

Answer:

We conclude that the population average weight of a cereal box is equal to 13 ounces.

Step-by-step explanation:

We are given that a cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

A random sample of 36 boxes is tested. The sample average weight is 12.85 ounces and the sample standard deviation is 0.75 ounces.

Let $\mu$ = population average weight of a cereal box

So, Null Hypothesis, $H_0$ : $\mu$ = 13 ounces {means that the population average weight of a cereal box is equal to 13 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 13 ounces {means that the population average weight of a cereal box differs from 13 ounces}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average weight = 12.85 ounces

$\sigma$ = sample standard deviation = 0.75 ounces

n = sample of boxes = 36

So, test statistics = $\frac{12.85-13}{\frac{0.75}{\sqrt{36} } }$ ~ $t_3_5$

= -1.20

The value of the test statistics is -1.20.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the t table gives critical values between -2.03 and 2.03 at 35 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population average weight of a cereal box is equal to 13 ounces.

3 0

3 years ago

The expression 1/2mv^2 M=1.6x10^3 V=3.4x10^3

mariarad [96]

Answer:

Step-by-step explanation:

hello :

The expression 1/2mv^2

M=1.6x10^3

V=3.4x10^3

is : 1/2(1.6x10^3 )(3.4x10^3)²=2.72x 10^9

8 0

3 years ago

What is the approximate volume of the cone?

seropon [69]

Answer:

D is the answer most likely your answer

Step-by-step explanation:

3.14x81x6=1526.04 which rounding would be 1526cm^3

4 0

3 years ago

Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution. What is th

Mekhanik [1.2K]

Answer: 0.8413

Step-by-step explanation:

Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.

Mean : $\mu=47$

Standard deviation : $\sigma= 4$

Let x be the random variable that represents the typing speeds for the students.

The z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 51

$z=\dfrac{51-47}{4}=1$

Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-

$P(x$

Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413

8 0

3 years ago

HELP ME ASAP HELP ME ASAP HELP ME ASAP

Anon25 [30]

Answer:

First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).

Then go up 2 points and to the right 3 points and plot a point there. (3,3)

We go to the right because the slope is positive.

Draw a line through the two points.

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

8 0

3 years ago