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Tomtit [17]
3 years ago
14

The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x +

4 represent the third integer. Which equation can be used to find the first integer? 3x + 6 = 72 3x = 2x + 6 2x + 64 = 72 3x + 72 = 2x + 6
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer: 3x + 6 = 72

Step-by-step explanation: Three consecutive even integers can be represented as followed.

X → <em>first integer</em>

X + 2 → <em>second integer</em>

X + 4 → <em>third integer</em>

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Since the sum of our three consecutive integer is 72, we can set up an equation to represent this.

X + X + 2 + X + 4 = 72

Now, we can simplify on the left.

3x + 6 = 72

Therefore, 3x + 6 = 72 would be the equation.

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Tony saw 6 birds in a tree. 1/6 of them flew away. How many were left?
Andreyy89

Answer:

5 birds flew away

Step-by-step explanation:

1/6x6=1

( 1 bird flew away)

so, 6-1=5

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Jeremy measured the height of a basketball net to be 10 feet off the ground. What is the equivalent measurements in meters?
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The answer is 3.04800 meters.

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3 0
3 years ago
2/3 x 1/4 please answer NOW ( brainliest to whoever answers first!!!
alexandr402 [8]
1/6 because 2•1=2 and 3•4=12 and 2/12=1/6
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What is the slope of the line shown below? (5,11) (-5,-1)
coldgirl [10]

Answer:

perpendicular

Step-by-step explanation:

it isn't parallel because the angles aren't the same.

7 0
3 years ago
According to sleep researchers, if you are between the ages of 12 and 18 years old, you need 9 hours of sleep to be fully functi
Alexxx [7]

Answer:

d) H0:μ=9 and Ha:μ<9

t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77    

p_v =P(t_{(27)}  

If we compare the p value and the significance level assumed \alpha=0.05 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 significantly lower than 9 hours at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=7.9 represent the sample mean

s=2.1 represent the sample standard deviation

n=28 sample size  

\mu_o =9 represent the value that we want to test

\alpha 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the students at this high school are getting too little sleep, the system of hypothesis would be:  

Null hypothesis:\mu \geq 68  

Alternative hypothesis:\mu < 68  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-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".  

The best option for this case would be:

d) H0:μ=9 and Ha:μ<9

Calculate the statistic

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

t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=28-1=27  

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

p_v =P(t_{(27)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 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 significantly lower than 9 hours at 5% of signficance.  

8 0
3 years ago
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