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QveST [7]
3 years ago
7

Can somebody help me with this pleaseee

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

Answer:

lesser x = -4.73205, so -4.73

greater x = -1.26795, so -1.27

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Solve by the linear combination method.
wlad13 [49]

X=5/9

Y=0.65

See below the following picture for the solution

7 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
Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.
Rudiy27

Answer:

9 ft

Step-by-step explanation:

Let's begin with the formula for the volume of a square pyramid.  If s is the base length, then the area of the base is s^2.  The volume of the pyramid is then V = (1/3)(base area)(height).  We know the volume and the base length (s), and want to find the height.  Solving V = (1/3)(base area)(height)

for height, we get:

3V = (base area)(height), or

    3V

---------------- = height

base area

Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:

               3(75 ft^3)              9 ft

height = ------------------ = ----------------- = 9 ft

                 25 ft^2                   1

3 0
3 years ago
Help me please again
SashulF [63]
The answer is C.
x=2
y=-30
(2;-30)
7 0
3 years ago
A gym teacher has 250 to spend on volleyball, she buys for volleyball nets that cost $28 volleyballs are $7 each.how many volley
MaRussiya [10]

The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. How many volley balls can she buy

Answer:

she can buy maximum of 19 balls.

Step-by-step explanation:

Let the number of volleyballs  be x

we know that

\text{(The cost of each volleyball net} \times \text{number of volleyball net)}+\text{(the cost of each volleyball} \times \text{number of volleyballs)}\leq \ 250

so substituting the values,

28(4) + 7x \leq 250

112 + 7x \leq 250

7x \leq 250 - 112

7x \leq 138

x \leq \frac{138}{7}

x \leq 19.7

3 0
3 years ago
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