1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kitty [74]
3 years ago
9

To pass a course with an Upper A ​grade, a student must have an average of 90 or greater. A​ student's grades on three tests are

91​, 94​, and 89. Find what score the student must get on the next test to get an Upper A average.
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

The student must get at least 86 in the next text in order to get an upper A average.

Step-by-step explanation:

The scores in the three tests are: 91, 94 and 89

The average score here is \frac{91 + 94 + 89}{3} = 91 (rounded off to nearest whole number)

In order to get an Upper A average after tackling the next test, the students total score in the four tests must be 90 × 4 = 360

Let's say the student scores x in the fourth test.

Then; 91 + 94 + 89 + x ≥ 360

274 + x  ≥ 360

x ≥ 360 - 274

x ≥ 86

You might be interested in
How much will you get paid if you work 28.5 hours for $7.75 per hour?
jonny [76]

$220.87 , (it would be $220.88 if you have to round up though

4 0
3 years ago
In a Triangle a ABC ,AD bisects BC at D (prove that BAD=CAD) guyssss please help!!!!
djverab [1.8K]

Answer:

Given - Triangle ABC

AD bisects BC ( I.e AB = AD)

To prove - Angle BAD = Angle CAD

Solution -

AB = AD (given)

Angle B = Angle C ( angle opposite to equal sides are also equal )

In a triangle BAD and CAD

AD = AD ( common)

angle B = Angle C ( prove above)

AB = AD = ( given )

By SAS congruence Triangle ABC is congruent to Triangle ABD

by CPCT BAD = CAD

hence, Proved

8 0
3 years ago
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 9.8 inches, and
olya-2409 [2.1K]

Answer:

0.6462

Step-by-step explanation:

Given that

Mean (m) = 9.8

Standard deviation (s) = 1.6

Probability that mean length is greater than 9.2

Z = (x - m) / s

Z = (9.2 - 9.8) / 1.6

Z = - 0.6 / 1.6

Zscore = - 0.375 = - 0.375

P(Z >- 0.375) = 1 - P(Z < - 0.375) ;

P(Z < - 0.375) = 0.3538

1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462

6 0
3 years ago
Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera
hoa [83]

Answer:

The probability is  P(X <  12) =  0.99286

Step-by-step explanation:

From the question we are told that

        The population mean is \mu  =  12 \ oz

         The  standard deviation is  \sigma =  0.1 \ oz

          The sample mean is  \= x =  12.1 \ oz

          The sample size is  n = 6 packs

   

The standard error of the mean is mathematically represented as

              \sigma_{\= x } =  \frac{\sigma}{\sqrt{n} }

substituting values

            \sigma_{\= x } =  \frac{0.1}{\sqrt{6} }

            \sigma_{\= x } =  0.0408

Given that the can’s contents follow a Normal distribution then then  the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

         P(X <  12) =  P ( \frac{X - \mu }{ \sigma_{\= x }}  < \frac{\= x - \mu }{ \sigma_{\= x }}  )

Generally  \frac{X  - \mu }{ \sigma_{ \= x }}   =  Z (The  \ standardized \  value \ of  \ X )

So

         P(X <  12) =  P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }}  )

substituting values

       P(X <  12) =  P ( Z < \frac{12.2 -12 }{0.0408}  )

      P(X <  12) =  P ( Z < 2.45   )

From the normal distribution table the value of P ( Z < 2.45   ) is  

           P (Z < 2.45)0.99286

=>   P(X <  12) =  0.99286

4 0
3 years ago
Lily forgot the security code for her apartment building. the code is two different numbers followed by a letter. how many diffe
umka21 [38]
Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes

9x9x26=2106

8 0
3 years ago
Other questions:
  • What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5) apex
    5·2 answers
  • It cost $7 for a matinee and $8 for an evening movie. With $56, would you be able to buy morematinee tickets or evening tickets?
    13·1 answer
  • Which of the numbers below is the next number in the following pattern?<br> 2,-3,4,-5,
    5·1 answer
  • Are the triangles congruent?Why or why not?
    12·2 answers
  • Find pairs of natural numbers:<br> 1) xy+y=4 <br> 2) x²+ y²= 13
    8·1 answer
  • I need help yall can someone work this out with steps
    5·1 answer
  • A football player kicks a ball with a mass of .55 kg. The average acceleration of the football was 14.9 m/s2
    6·2 answers
  • What is 2.5% of 15 530​
    6·1 answer
  • 1.9 x 10-6 ayudennv plisssssssssssssssssssssssssssss
    10·2 answers
  • (WILL MARK BRAINLIST)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!