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Answer:

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

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Additional comment

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

Answer:

B) A = 52.3°, b = 1.7 m, c = 2.8 m

Step-by-step explanation:

We know that it is a right angle triangle because C = 90°

because of that we can do 180 - 90 + 37.7

which is a=52.3

Because it is a right angle triangle, we can use sin, cos,tan

I will use sin to find the side of c

2.2 is a

sin 52.3 = 2.2/x

x= 2.2/ sin 52.3

x=2.78

You could do cos or tan but the pythagorean theorem for me is much faster

so it looks like this, a^2+b^2 =c^2

in this case we have both a and c we want b

so we rearrange

c^2-a^2=b^2

2.78^2-2.2^2= b^2

[tex]\sqrt{2.89}[/tex]=b

1.7=b

therefore it would be this option B) A = 52.3°, b = 1.7 m, c = 2.8 m

Answer:

So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply

7x2.30

=$16.10

For Shop B you must  first divide

70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.

so, 7x1.60

=$11.20- then divide 1.60 by 2 = $0.80,

then multiply by 7

=$5.60, then add the the two numbers for Shop B,

$11.20 + $5.60= 16.80

Step-by-step explanation:

So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80

The difference from buying pens from Shop A and Shop B would be $0.70

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a  patient that is considered normal, that is, the subtraction is not negative, hence:

[tex]H_0: \mu_S - \mu_N \geq 0[/tex]

At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:

[tex]H_1: \mu_S - \mu_N < 0[/tex]

Regarding each sample, the mean and standard deviation are found using a calculator.

[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]

[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]

We have the standard deviation for each sample, hence, the t-distribution will be used.

The standard errors are given by:

[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]

[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]

The distribution of the difference has mean and standard error given by:

[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]

[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

In which [tex]\mu[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]

[tex]t = -0.47[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]

Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

A similar problem is given at https://brainly.com/question/13873630

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

Hence , (a,0) is a zeros of a function

Answer:

21.2 mm²

Step-by-step explanation:

Area of rectangle = base x height.

A(r) = b x h

Plug in the corresponding numbers to the corresponding variables:

A(r) = 5.3 x 4

A(r) = 21.2

21.2 mm² is your answer.

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

Answer:

A. 30÷6 = 5

24÷6=4

=4/5.

Step-by-step explanation:

sssssssssssssssssssssss

Answer:

4.75 divided by 5 =0.95

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

Answer:

should be x > 4

Step-by-step explanation:

Answer:

$499

Step-by-step explanation:

Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.

2489-1999=499

(When you get your answer,make sure to add the dollar sign.)

The price was reduced by $499.

Answer:

1799 members in the art club i think but i don't have a bar graph

Step-by-step explanation:

^^

Answer:

(2,2)

Step-by-step explanation:

Step-by-step explanation:

y=-7/5x-1/5

=-7×5/5x-1

=-35/5x-1

Answer:

second or last

Step-by-step explanation:

Answer:  1/8 < 2/5 < 5/7

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.

The point that the shop was opened is represented by the value of the y axis when it was first crossed.

Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.

Find out more on quadratic functions at https://brainly.com/question/11631534.

#SPJ2

Answer:

22

Step-by-step explanation:

Step-by-step explanation:

Okay so, let's turn these into decimals first (rounded to nearest 2 thousandths).

2/3 = 0.66666 (repeating), to the nearest 2 thousandths would be 0.66.

-2 1/4 = -9/4 = -2.25

-1 1/2 = -3/2 = -1.5

then we set up the problem

0.66 × -2.25 × -1.5 = 2.2275 rounded 2.22 as an improper fraction 111/50 and that cannot be simplified any smaller.

Answer:

3b

Step-by-step explanation:

[tex]3\sqrt{b^{2} }[/tex]

= 3b

Answer:

Ratio 5:3

Step-by-step explanation:

5:3 equivalent fraction are 10:6, 15:9

Answer:

Its a

Step-by-step explanation:

Step-by-step explanation:

An example of direct variation would be the relationship of distance with time when speed is constant.

Let's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.

This is a linear relationship and produces a graph of line.

See the graph.

--------------------

An example of inverse variation would be the time to complete the same work as number of workers increase.

Assume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.

This relationship produces a curved line.

See the graph.

Answer:

33.20% probability that the sample mean would differ from the population mean by greater than 1 gallon

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Answer:

who measures someone's height in inches

Step-by-step explanation:

the answer is 14

It will take 13.3 months for Jose to be the same height with Jacob.

x = number of month

Jose is already 52 inches tall and growing at 0.25 inches per month. Therefore, his height is represented as follows

Jacob is already 54 inches tall and growing at 0.1 inches per month. Therefore, his height is represented as follows

For both to have the same height,

52 + 0.25x = 54 + 0.1x

52 - 54 = 0.1x - 0.25x

-2 = -0.15x

x = -2 / -0.15

x = 13.3333333333

x = 13.3 months

learn more linear equation here:  https://brainly.com/question/19704985?referrer=searchResults

Answer:

Step-by-step explanation:

I hate you

Answer:

-4 -3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]