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daser333 [38]
3 years ago
14

Gary is baking pretzels for his sister’s party. Some pretzels will be regular and some pretzels will be whole grain.

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

The constraints are

x+y\geq 14

2y+x\leq 20

x\geq 0

y\geq 0

Step-by-step explanation:

Let

x-------> the number of dozens of regular pretzels.

y-------> the number of dozens of whole-grain pretzels.

we know that

x+y\geq 14 --------> inequality A

2y+x\leq 20 -------> inequality B

x\geq 0 -------> inequality C  (cannot be a negative number)

y\geq 0 ------> inequality D  (cannot be a negative number)

The solution is the triangular shaded area

see the attached figure

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if you flip a coin 10 times, what is the best prediction​ possible for the number of times it will land on heads?
SVETLANKA909090 [29]
Proabably. 5 because if there is 2 sides on a coin then you should divide 10÷2 which is 5.
4 0
3 years ago
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The cost of a taxi ride is represented by the function c(m)=2m+4, where m is the number of miles traveled. What is the cost per
galina1969 [7]

Answer:

cost per mile = $2.

Step-by-step explanation:

Given the cost function, c(m) = 2m + 4,

Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.

Therefore, the cost per mile of the cab is $2.  

3 0
3 years ago
What are the values of a and b?
ivann1987 [24]

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

3 0
3 years ago
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have X = 85.1, \mu = 61.1, \sigma = 12. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{85.1 - 61.1}{12}

Z = 2

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have X = 299.2, \mu = 264, \sigma = 22.

Z = \frac{X - \mu}{\sigma}

Z = \frac{299.2 - 264}{22}

Z = 1.6

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have X = 7.26, \mu = 7.1, \sigma = 0.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{7.26 - 7.1}{0.4}

Z = 0.4

Due to the higher Z-score, Demetria should be offered the job.

3 0
3 years ago
Which sequence explains a geometric method of determining<br> 3 - 17i/2 +2i?
never [62]

Answer:

That would be D.

Step-by-step explanation:

first, turn both to polar form. Then you plot the first one and scale by the second. also, using a Rectangular to Polar calculator, we can see that 2.82 is 2 sqrt 2, so it cannot be A or B. It also can't be C since you graph 3-17i first.

7 0
3 years ago
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