Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?

Answers

Answer 1
Can smart people answer.??????? Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?

Related Questions

please help meeeeeeeeee

Answers

Answer:

39 degrees

Step-by-step explanation:

27 + |-12| = 39 to change from -12 to 27 you have to add the distance they are away from each other on a number line by adding the absolute value of -12 to 27 to find their distance

What is the answer bbs

Answers

Yes the one u choosing(C) is right
The answer is right it’s c

1 15/16 divided by 7/8

Answers

Answer:

Your answer is 2 2/7

A university organization shows that 108 of the university's 253 assistant professors were women, along with 97 of the 301 associate professors and 78 of the 350 full professors. (a) What is the probability that a randomly chosen university professor (of any rank) is a woman

Answers

Answer:

[tex]Probability = 0.3131[/tex]

Step-by-step explanation:

Required

Determine the probability of selecting a woman

The given data can be represented to show women distribution as:

-------------------------------------- Women ------------------- Total

Assistant Professors ----------- 108 ----------------------253

Associate Professors ---------97 -------------------------301

Full Professors -----------------78---------------------------350

First, we calculate the number of women

[tex]Women = 108 + 97 + 78[/tex]

[tex]Women = 283[/tex]

Next, we calculate the total number of professors

[tex]Professors = 253 + 301 + 350[/tex]

[tex]Professors = 904[/tex]

Probability of selecting women is then calculated as:

[tex]Probability = \frac{Women}{Professors}[/tex]

[tex]Probability = \frac{283}{904}[/tex]

[tex]Probability = 0.31305309734[/tex]

[tex]Probability = 0.3131[/tex] -- (approximated)

the question is below

Answers

Answer:

use sin to find the angle x

Answer:

We can use the triginotemtric ratio inverse cos to solve this problem.

Cos=adjacent side/hypotenuse

cos(h)=21/69

[tex]cos^-1(21/69)=x\\cos^-1(0.30434782608) \\x=72[/tex]

Step-by-step explanation:

What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units

Answers

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

Find the exact values of the six trigonometric ratios of the angle in the triangle 160 and 164

Answers

Answer:

[tex]\sin \theta = \frac{40}{41}[/tex], [tex]\cos \theta = \frac{3}{82}[/tex], [tex]\tan \theta = \frac{80}{3}[/tex], [tex]\cot \theta = \frac{3}{80}[/tex], [tex]\sec \theta = \frac{82}{3}[/tex], [tex]\csc \theta = \frac{41}{40}[/tex]

Step-by-step explanation:

We notice that figure represents a right triangle, the hypotenuse has a length of 164 units and the leg opposite to [tex]\theta[/tex] has a length of 160 units. The sine of [tex]\theta[/tex] is:

[tex]\sin \theta = \frac{160}{164}[/tex]

[tex]\sin \theta = \frac{40}{41}[/tex]

The leg adjacent to [tex]\theta[/tex] is determine by the Pythagorean Theorem:

[tex]r = \sqrt{164^{2}-160^{2}}[/tex]

[tex]r = 6[/tex]

Then, the cosine of [tex]\theta[/tex] is:

[tex]\cos \theta = \frac{6}{164}[/tex]

[tex]\cos \theta = \frac{3}{82}[/tex]

Lastly, we determine the remaining trigonometric ratios by using these identities:

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (1)

[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (2)

[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (3)

[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (4)

If we know that [tex]\sin \theta = \frac{40}{41}[/tex] and [tex]\cos \theta = \frac{3}{82}[/tex], then the trigonometric ratios are, respectively:

[tex]\tan \theta = \frac{\frac{40}{41} }{\frac{3}{82} }[/tex]

[tex]\tan \theta = \frac{80}{3}[/tex]

[tex]\cot \theta = \frac{1}{\frac{80}{3} }[/tex]

[tex]\cot \theta = \frac{3}{80}[/tex]

[tex]\sec \theta = \frac{1}{\frac{3}{82} }[/tex]

[tex]\sec \theta = \frac{82}{3}[/tex]

[tex]\csc \theta = \frac{1}{\frac{40}{41} }[/tex]

[tex]\csc \theta = \frac{41}{40}[/tex]

1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.05). Suppose that 10 batteries are produced. a. Find the expected number of defective batteries. b. Find the variance and standard deviation in the number of defective batteries. c. Find the probability that at least 1 battery is defective.

Answers

Answer:

0.5 ; 0.475 ; 0.689 ; 0.4013

Step-by-step explanation:

Given that:

Rate of production of defective batteries p = 0.05

Number of batteries produced (n) = 10

The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries

Variance of defective batteries :

Var(X) = n * p * q ; q = 1 - p

Hence,

Var(X) = 10 * 0.05 * 0.95 = 0.475

Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689

Probability that atleast 1 battery is defective :

Using the binomial probability function

P(x ≥ 1) = 1 - p(x = 0)

= 1 - q^n

= 1 - 0.95^10

= 1 - 0.59873693923837890625

= 0.40126306076162109375

= 0.4013

The mean running time of a certain variety of nickel-cadmium rechargeable flashlight battery is known to be normally distributed with a mean of 8.5. A change in production method for this battery has been proposed, and a simple random sample of 64 batteries produced by the new method has mean running time of 8.72 hours. Assume the population is normally distributed with a standard deviation of 0.55 hour as known and remains unchanged, test a claim that the new production method improving the battery mean running time using 0.05 significance level.

Answers

Answer:

answer is a

Step-by-step explanation:

The demand on a power plant changes over time. cause or effect

Answers

Answer:

effect

Step-by-step explanation:

Please I need help really badly

Answers

Answer:

with what

Step-by-step explanation:

I can't really see the question

what is 67 sec and 76 minuts equal to

Answers

Answer:

1 hour and 17 minutes and 7 sec

Step-by-step explanation:

.

1 sec / 60 = 0.01667 min

Whats 1+1
window
11
2

Answers

Answer:

2

Step-by-step explanation:

If you have one apple and your friend has one apple, then the total number of apples shared between you and your friend is two.

Answer: just saw the video.

Step-by-step explanation:

Work out the value of x+y multiplied by z if x=3/5 ....

Answers

Answer:

1.056

Step-by-step explanation:

Because 2 4/5+ 3/5= 3 1/5

3 1/5 as a decimal is, 3.2

3.2× .33= 1.056

find the area of each trapezoid 32 ft x 16 ft 18 ft ​

Answers

Answer:

A = 432 ft^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2} *h[/tex]

A = (32+16)/2 * 18

A = 48/2 * 18

A = 24*18

A = 432 ft^2

A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?

Answers

Answer:

20%

Step-by-step explanation:

4+3+7=14

14÷7=2

2×10=20

If I am wrong please tell me I haven't had to do this me method in 3 years

are any of these equations linear or nonlinear if yes what is the standard form
a. y=-7+6x
b. y=2x+5

Answers

Answer:

both are linear

a) 6x - y = 7

b) 2x - y = -5

Step-by-step explanation:

carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?

Answers

Answer:

Rocco mowed 1 lawn a week.

Step-by-step explanation:

If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.

Thus Rocco mowed 1 lawn a week.

Mr. Ward invests $45,000 in a bank at the beginning of the year. He will receive an interest rate of 8% per year. How much interest will Mr. Ward receive in 1/2 of a year

Answers

Answer:

If the investment she is considering will pay 8.25 percent compounded monthly, ... Value: Herbert Hall just received an inheritance of $35,775 from his great aunt. He ... If Herbert can earn 4.75% per year with quarterly compounding for 32 years, how ... You identify a bank CD that pays an interest rate of 4.25 percent.

Step-by-step explanation:

Which angle(s) is/are congruent? There may be more than one answer

Answers

Answer:

if they all have the same angle they r congruent

Step-by-step explanation:

What is the sum of the first 34 numbers in the series below?

147 + 130 + 113 + 96 + . . .

-4,828
-4791
-4539
-4131

Answers

Answer:

-4539

Step-by-step explanation:

147 + 130 + 113 + 96 +

arithmetic, with

a = 147 and d 130 - 147 = -17

Sn = (n/2)(2a + d(n - 1))

S34 = (34/2)(2*147 - 17(34 - 1))

= 17(294 - 561)

hope it helps!

Answer:

What’s pad let?

Step-by-step explanation:

? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?

Answers

Answer:

13

Step-by-step explanation:

125 - 60= 65

65/5= 13

itll take her 13 weeks

Studies indicate that 10.5% of the US population has diabetes. A producer of medical devices is developing a test for diabetes diagnosis: a positive test suggests that a person has diabetes, a negative test suggests that a person does not have diabetes. However, medical tests can give false results: in particular, the probability that this test gives a negative result for a person who actually has diabetes is 0.05, while the probability that the test is positive for a person who in fact does not have diabetes is 0.10.1. What is the probability that the test gives a positive result for a person who is known to have diabetes? 2. What is the probability that a person has diabetes, given that the test gives a positive result?

Answers

Answer:

The answer is "0.95 and 0.5271".

Step-by-step explanation:

[tex]p (d) = 0.905 \\\\p( false\ negative) = 0.05\\\\p(false \ positive ) = 0.10 \\\\[/tex]

In point a)  

p ( positive diabetes )[tex]= 1 - 0.05 = 0.95[/tex]

In point b)  

[tex]p(\frac{d}{+ve}) = \frac{0.105 \times 0.95}{0.105 \times 0.95 +0.895 \times 0.10 }[/tex]

           [tex]=\frac{0.09975}{0.09975+0.0895}\\\\=\frac{0.09975}{0.18925}\\\\= 0.5271[/tex]

Which of the tables represents a function?

a. Table A

b. Table B

c. Table C

d. Table D

Answers

The answer is table D as it is the only one without a repeated input ❤️ hope that helps

Answer:

the answer is D (U,U).-

Step-by-step explanation:

PLEASE HELP ILL GIVE YOU BRAINLIEST

Answers

Answer:

78.54

Step-by-step explanation:

So the rounded answer would be 100. I honestly am not 100% sure. I just looked it up. sorry if it is wrong! :c

What is the equation of parabola

Answers

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

so the equation of the parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league? 278 279 185 299 245 281 291 234 278 227 281

Answers

Answer:

Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports league

Step-by-step explanation:

First of all, we will sort the data.

185 227 234 245 278 278 279 281 281 291 299

Mean:

Mean is defined as the sum of values divided by the number of values.

n = 11

[tex]Mean = \frac{sum}{n}\\= \frac{185+227 +234+ 245+ 278+ 278+ 279+ 281+ 281+ 291+ 299}{11}\\=\frac{2878}{11}\\=261.63\ pounds[/tex]

Median:

As the number of values is odd,

The median will be:

[tex]Median = (\frac{n+1}{2})th\ value\\= \frac{11+1}{2}\\=\frac{12}{2}\\=6th\ value[/tex]

The 6th value is 278

Median = 278

Mode:

Mode is the most frequent value in a data set.

In the given dataset,

278 and 281 are modes as both are repeated twice

Mid-range:

Mid-range is the average of maximum and minimum value

So,

Min = 185

Max = 299

So,

[tex]Mid-range = \frac{Max+Min}{2}\\= \frac{185+299}{2}\\= \frac{484}{2}\\= 242[/tex]

Hence,

Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports league

Translate the word phrase into a math expression.

1 less than a number.


A: n + 1

B: n−1

C: 15 ÷ n

D: 1−n

Answers

The answer would be B: n-1
To break it down, 1 less means subtracted by one so in the equation (-1) and the number is the variable that is represented by ‘n’ so if something is 1 less than a number it will be n-1
Hope this helps :)
The answer is B) n-1.

If you are doing one less than a number, than you know that you will need a variable that is being subtracted from. We know that the variable is n. We also know that 1 is being subtracted from it. Therefore, the answer is n-1.

Hope you have an amazing day!✨❤️

in the figure above AB= 4×+6 and BC=7×+15. if AC=120 , find the length of segment AB.?

Answers

Answer:2x+6

Step-by-step explanation:

What is the reciprocal of 1/5?
5/1
4
1/5

Answers

the reciprocal of 1/5 is 0.2
it’s 5/1 ..........!,!.,
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