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
Inga [223]
2 years ago
13

John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark

Mathematics
2 answers:
Svet_ta [14]2 years ago
8 0

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

nadya68 [22]2 years ago
3 0

Answer:

80

Step-by-step explanation:

new value = 84

old value = n

can use percent change formula:  (new value - old value) / old value = 5/100

\frac{84-n}{n} = \frac{5}{100}

cross-multiply (you can simplify 5/100 to be 1/20 first):  20(84 - n) = n

1680 - 20n = n

1680 = 21n

n = 80

You might be interested in
What kind of triangle has a 52° angle and an 83° angle
charle [14.2K]
Almost positive isosceles triangle
7 0
2 years ago
Use the standard normal distribution to find P(-2.25 < z < 1.25)
Ede4ka [16]

Here we have to find the probability P(-2.25. Now express the probability in terms of standard normal cumulative distribution function. That is \Phi(x)=P(z.

P(-2.25

Now you can look up the probability from the standard normal tables. Its value is

P(-2.25

3 0
3 years ago
Read 2 more answers
What is the domain of the graph?
maksim [4K]
Domain:
-4 ≤ x ≤ 3
or in different form:
x ∈ [-4; 3]
4 0
3 years ago
Write an equation in slope-intercept form of the line that passes through <br> (7, 2) and (2, 12).
Gnoma [55]

Answer:

Step-by-step explanation:

(12 - 2)/(2 - 7) = 10/-5 = -2

y - 12 = -2(x - 2)

y - 12 = -2x + 2

y = -2x + 14

6 0
2 years ago
Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of
Alexxx [7]

Answer:

a) 0.018

b) 0            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  14.4 in

Standard Deviation, σ = 1 in

We are given that the distribution of breadths is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(breadth will be greater than 16.5 in)

P(x > 16.5)

P( x > 16.5) = P( z > \displaystyle\frac{16.5 - 14.4}{1}) = P(z > 2.1)

= 1 - P(z \leq 2.1)

Calculation the value from standard normal z table, we have,  

P(x > 16.5) = 1 - 0.982 = 0.018 = 1.8\%

0.018 is the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.5 in.

b) P( with 123 randomly selected​ men, these men have a mean hip breadth greater than 16.5 in)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(x > 16.5)  

P( x > 16.5) = P( z > \displaystyle\frac{16.5-14.4}{\frac{1}{\sqrt{123}}}) = P(z > 23.29)  

= 1 - P(z \leq 23.29)

Calculation the value from standard normal z table, we have,  

P(x > 16.5) = 1 - 1 = 0

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in

4 0
3 years ago
Other questions:
  • Please help find the value of y and the measures of two missing angles
    9·1 answer
  • Write an expression to represent the total cost of paint at a rate of $5.75 per ft.? to paint a triangular-shaped mural where th
    7·1 answer
  • Solve: log5x^3 - logx^2 = 2<br> x = 20
    10·2 answers
  • Roberto will save 1/6 of his allowance each day. If you get two dollars a day about how much money will you save round to the ne
    6·1 answer
  • Which word best describes a parallelogram with diagonals that are congruent and perpendicular?
    8·1 answer
  • Four less than nine times a number is one hundred twenty-two. Find the original number.
    12·1 answer
  • Does anyone know anything about parallelograms?
    7·2 answers
  • What is the HCF of two consecutive odd numbers? for 50 points​
    15·2 answers
  • The dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week perio
    11·1 answer
  • The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's ______.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!