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Artist 52 [7]
3 years ago
8

(05.01 MC)

Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0

Answer:

<em>If you look at the pictures the question gives you. 5 shortcakes = 45$</em>

<em>5 sweetbreads = 20$.</em>

<em>So you would divide 45 by 5, which gives u 9</em>

<em>Then you would divide 20 by 5, which gives you 4.</em>

<em>Then after you would subtract 9 by 4, which gives you 5$</em>

<em>So your answer for this question would be 5$.</em>



algol133 years ago
5 0

For the table, y = 9x.

 so the price of a short cake is $9


For the graph, y = 4x
so the price of a sweet bread is $4

9-4 = 5

 the short cake is $5 more than the sweet bread


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1. A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the d
Lesechka [4]

Answer:

No, at the 0.1 level of significance, there is not enough evidence to conclude that the true mean discharge, µ, differs from 7 ounces.

Step-by-step explanation:

We are given that a coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the discharge amounts in 13 randomly chosen cups of coffee from the machine were recorded.

The sample mean and the sample standard deviation were 7.08 ounces and 0.22 ounces, respectively.

<em>Let </em>\mu<em> = true mean discharge amount</em>

SO, Null Hypothesis, H_0 : \mu = 7 ounces  {means that the true mean discharge, µ, does not differs from 7 ounces}

Alternate Hypothesis, H_a : \mu \neq 7 ounces  {means that the true mean discharge, µ, differs from 7 ounces}

The test statistics that will be used here is<u> One-sample t test statistics</u> because we don't know about the population standard deviation;

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

where,  \bar X = sample mean discharge amount = 7.08 ounces

              s = sample standard deviation = 0.22 ounces

              n = sample of coffee cups = 13

So, <u><em>test statistics</em></u>  =  \frac{7.08-7 }{{\frac{0.22}{\sqrt{13} } } }  ~ t_1_2

                               =  1.311

<em>Now at 0.1 significance level, the t table gives critical values between -1.782 and 1.782 at 12 degree of freedom for two-tailed test. Since our test statistics lies within the range of critical values of t so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

Therefore, we conclude that the the true mean discharge, µ, does not differs from 7 ounces.

5 0
3 years ago
What is the purpose and structure of a proof in Geometry?
KatRina [158]

Answer: A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.

6 0
3 years ago
What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to produce 1080 mL of a 50 per cent solutio
Jlenok [28]

Answer: 480 mL, 600 mL

Step-by-step explanation:

Given

The concentration of the first acid is 75%

The concentration of the second acid is 30%

The final mixture has a concentration of 50%

The final volume is 1080 mL

Suppose x and y be the volume of the first and second acid

\therefore x+y=1080\quad \ldots(i)\\0.75x+0.3y=0.5\times 1080\quad \ldots(ii)

Solving the above equations we get

x=480,y=600

So, the quantity of the first acid is 480 mL and 600 mL for the second mixture.  

6 0
3 years ago
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
vaieri [72.5K]

Given:

The system of equations that represent the constraints for the given situation is

x+y=4.25

16.90x+4y=36.35

To find:

The solution of given system of equations.

Solution:

We have,

x+y=4.25           ...(i)

16.90x+4y=36.35           ...(ii)

Multiply equation (i) by 4.

4x+4y=17           ...(iii)

Subtracting (iii) from (ii), we get

16.90x+4y-(4x+4y)=36.35-17

16.90x+4y-4x-4y=19.35

12.90x=19.35

Divide both sides by 12.90.

x=\dfrac{19.35}{12.90}

x=1.5

Put this value in (i).

1.5+y=4.25

y=4.25-1.5

y=2.75

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

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Inessa [10]

Answer:

5/10

Step-by-step explanation:

4 0
3 years ago
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