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Margaret [11]
3 years ago
13

The quiz grades of a math class are given. 83, 76, 68, 97, 68, 80, 89, 74, 75, 81, 91, 90 The grades are normally distributed wi

th a mean of 81 and a standard deviation of 9.3. What is the z-score of the highest grade in the quiz?
A) −1.72
B) −1.08
C) 1.08
D) 1.72
Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0

Answer:

the answer is c) 1.08

Step-by-step explanation:

Step1:

Formula for calculating z-score is;

Z= (x-mean)/standard deviation

where x is the value for which z-score is required

Step 2:

As asked in the question z-score for highest grade is required which is 91;

z= (91-81)/9.3

z=10/9.3

z=1.075

which is approximately;

z=1.08

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Dan invests £1300 into his bank account.
alexandr402 [8]

Given parameters:

Principal  = £1300

Interest rate  = 5%

Duration  = 2yrs

Unknown:

Total amount of Dan's principal = ?

To solve this problem, we apply the equation below:

  Total investment worth  = Principal + interest

   Interest  = \frac{PRT}{100}

where P is the principal

          R is the rate

          T is the time

Now, input the parameters;

     Total investment worth  = £1300 + £ \frac{1300 x 5 x 2}{100}

                                             = £1300 + £130

                                             = £1430

The amount after two years is £1430

7 0
3 years ago
The perimeter of a right triangle is 30 feet and the area is 30 square feet. If the lengths of the sides of the triangle are eac
liq [111]

Answer:

300

Step-by-step explanation:

a triangle has 3 sides and so perimeter is just adding all the sides together so the perimeter is 30 that means each side is ten so multiply those all by ten as it says and then they are all 100. add them to get 300, hope this helps :)

5 0
3 years ago
Lucy purchased 5 equally-priced shirts for $60. Frank bought 4 shirts. Each of his shirts were $2 more than the price of a shirt
4vir4ik [10]

Answer:

$56

Step-by-step explanation:

Lucy's shirts were $12 each since 60/5 is 12. Frank's shirts were 2 more than lucys so his were $14. 14 times 4 is 56.

8 0
3 years ago
Read 2 more answers
Selected value of each decimel number when it is rounded to the nearest whole number ​
PtichkaEL [24]

Answer:

  1. 5
  2. 6
  3. 6
  4. 5

Remember the decimal <em>hundredths</em> rounding ruleset.

  • If a decimal is below .50, round down.
  • If a decimal is .50, round up.
  • If a decimal is above .50, round up.

View this array below to get a better image.

\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

6 0
2 years ago
Find the missing side of this right a triangle?<br> help pls
yaroslaw [1]

Hi, there!

 _____

To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.

-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}

Here,

\textsc{legs:}\begin{cases} \bold{a}\\\bold{b} \end{cases}

Hypotenuse (the longest side): c

We know that

\bold{a=2 \ and \ b=28}

So, we can substitute our parameters, and solve for c.

\bold{2^2+28^2=c^2} -\!\!\!-\!\!\!-\!\!\!\longrightarrow square 2 and 28

\bold{4+784=c^2} -\!\!\!-\!\!\!-\!\!\!\longrightarrow add the numbers

\bold{788=c^2} -\!\!\!-\!\!\!-\!\!\!\longrightarrow square root both sides

\bold{\sqrt{788}=c}

Hope the answer - and explanation - made sense,

happy studying!!

6 0
2 years ago
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