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Andre45 [30]
2 years ago
8

Simplify the expression

Mathematics
1 answer:
raketka [301]2 years ago
3 0

Answer:

147

Step-by-step explanation:

82+9(12÷3×2)-7

82+9(4×2)-7

82+9(8)-7

82+72-7

154-7

147

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A stadium has 10,500 seats and 8 vip boxes. The stadium is divided into 12 equal sections: 2 premium sections and 10 standard se
algol [13]
10500\10= 1050
1050 in each section
1050
4 0
2 years ago
6c – 7 + d + 4 – 6d combine like terms
kkurt [141]

Answer:

6c-5d-3

Step-by-step explanation:

6c-7+d+4-6d=6c-5d-3

5 0
3 years ago
Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because th
Ksju [112]

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

<u><em>Let </em></u>\mu<u><em> = mean contents of cola bottles.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, H_A : \mu < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S.  = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean contents of cola bottle = \frac{\sum X}{n} = 299.03 ml

            \sigma = population standard deviation = 3 ml

            n = sample of bottles = 6

So, <em><u>test statistics</u></em>  =  \frac{299.03-300}{\frac{3}{\sqrt{6} } }     

                               =  -0.792

<em>Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, 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.</em>

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

8 0
3 years ago
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.​
Vsevolod [243]

Part A: How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Essay Submission

Part A: 5 1:3 = 53=15+1=16:3 16:3 / 2:3=16:33:2=48:6 6/48=8(6*8=48)

Part B: Thats How I got my quotient by dividing 48 and 6

I think this if what you are looking for.

hope it helps.

7 0
2 years ago
49 = -5n – 2n<br> I think I know the answer but just wanna be sure?
Svetach [21]

Answer:

n = -7

Step-by-step explanation:

49 = -5n - 2n

combine like terms

-5 - 2 = -7

49 = -7n

divide both sides by -7

49/-7 = -7n/-7

49/-7 = n

49/-7 = -7

-7 = n

3 0
2 years ago
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