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3 years ago

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Tickets to the annual awards banquet for a club cost $58 each. Ticket sales for the banquet totaled $2436. Estimate the number o

f people who attended the banquet by rounding the cost of a ticket to the nearest ten and the total sales to the nearest hundred.

1 answer:

Ksju [112]3 years ago

5 0

Ffrfftygf day ugh nah tt Gn

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A market trader asks 500 for some cloth. a woman offers 1200, after bargaining they agree a price half way betweeb the two start

Arturiano [62]

Answer:

850

Step-by-step explanation:

To find the midpoint just find the average between the two

1700/2=850

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3 years ago

Write an equation of the line that is perpendicular to y=3x-6 through (9,-1). Show steps and final answer

Lady bird [3.3K]

Answer:

y=-1/3x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=-1/3(x-9)

y+1=-1/3(x-9)

y=-1/3x+9/3-1

y=-1/3x+3-1

y=-1/3x+2

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2 years ago

The bacterial strain Acinetobacter has been tested for its adhesion properties. A sample of five measurements gave read- ings of

oksian1 [2.3K]

Answer:

Part a

We need to conduct a one tailed test

We need to conduct a hypothesis in order to check if the mean is higher than 2.5, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2.5$

Alternative hypothesis: $\mu > 2.5$

Part b: Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{3.372-2.5}{\frac{0.66}{\sqrt{5}}}=2.954$

Part c :P-value

Since is a one sided test the p value would be:

$p_v =P(z>2.954)=0.0016$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is higher than 2.5 at 1% of signficance.

Step-by-step explanation:

a. Should the alternative hypothesis be one-sided or two-sided?

b. Test the hypothesis that the mean adhesion is 2.5 dyne-cm².

c. What is the P-value of the test statistic?

Data given and notation

Data: 2.69, 5.76, 2.67, 1.62 ,4.12

We can calculate the sample mean with this formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$\bar X=3.372$ represent the sample mean

$\sigma=0.66$ represent the population standard deviation

$n=5$ sample size

$\mu_o =2.5$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a: State the null and alternative hypotheses.

We need to conduct a one tailed test

We need to conduct a hypothesis in order to check if the mean is higher than 2.5, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2.5$

Alternative hypothesis: $\mu > 2.5$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part b: Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{3.372-2.5}{\frac{0.66}{\sqrt{5}}}=2.954$

Part c :P-value

Since is a one sided test the p value would be:

$p_v =P(z>2.954)=0.0016$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is higher than 2.5 at 1% of signficance.

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3 years ago

The probability of picking a red marble from a bag is 2/7 what are the odds against picking a red marble.

almond37 [142]

The answer is 5/7 because if 2/7 is with the red marble then the res would be against the red marble and that is 5/7

Please mark brainliest.

3 0

3 years ago

Read 2 more answers

Please help answer this question!! 20 points!!!!

Naily [24]

Answer:

Relative to such interrogate proposed, the answer is identified as 5520, if quantities ‘a’ and ‘b’ were to subject to define, given such conditions.

Step-by-step explanation:

Understood:

- Such quantity is a four (4) digit number, as explicitly stated.

- The value must be divisible by three (3). Thus, once the digits are summed, such quantity must be able to divide, and distribute evenly, into three (3).

- Likewise, such number is obligated to be divisible by five (5). Thus, the last digit of such quantity must end in either a ‘5’ or a ‘0’.

We were given the mathematical expression: 5a2b

5 + 2 = 7 + x = a number that is divisible by three, as stated in the problem.

X could be a list of differentiated number(s), although for a simplicity, x could be equated to as 5 to produce 12 (which is a factor of three, hence, divisible by three).

Now that ‘a’ has been substituted, ‘b’ must be substituted, similarly:

With ‘b’, we could appoint any number, so long that is either a 5 or 0 in the last digit, hence producing a value divisible my five.

For simplicity, which choosing either 5 or 0 does not make a difference, I will choose zero.

Thus, the rectified answer to such an interrogate is 5520. The difference between the largest of such number and the smallest is their abilities to become divisible by a certain constant ‘a’ and ‘b’.

*I hope this helps.

7 0

3 years ago