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Solnce55 [7]
2 years ago
13

If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80; what is the actual test score? (Round the ans

wer to the nearest hundredth)
Mathematics
1 answer:
skad [1K]2 years ago
6 0

If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75

<h3>How to solve z-score problems?</h3>

We are given;

Standard deviation; s = 5

z-score = 1.95

Mean = 80

Formula for z-score is;

z = (x' - μ)/σ

Thus;

1.95 = (x' - 80)/5

1.95 * 5 = (x' - 80)

9.75 = x' - 80

x' = 80 + 9.75

x' = 89.75

Read more about Z-score Problems at; brainly.com/question/25638875

#SPJ1

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Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25Then, he wan
stepan [7]

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}

i.e.  

5.50S

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = \$3.25+5.50S

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

\bold{3.25+5.50S \le 30}

Please refer to brainly.com/question/17138529 as well.

5 0
3 years ago
Read 2 more answers
Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2
ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

x =  2( - 3 - 0) \\ x = 2( - 3) \\ x =  - 6

This would be the y coordinate of F:

y = 2( - 2 - 0) \\ y = 2( - 2) \\ y =  - 4

Thus the coordinates of F is (-6,-4)

4 0
3 years ago
A simplified model of the human blood-type system has four blood types: A, B, AB, and O. There are two antigens, anti-A and anti
dexar [7]

Answer: Blood type will be A when event "A" happened and event "B" did not happen. Blood type will be B when event "A" did not happened and event "B" happened. Blood type will be AB when both events happened and blood type will be O when both events did not happen.

Step-by-step explanation:

S={AntiA reacts; AntiA does not react; AntiB reacts; AntiB does not react}

If AntiA reacts and AntiB reacts = AB (A∩B)

If AntiA does not react and AntiB does not react= O (A'∩B')

If AntiA reacts and AntiB does not react= A (A∩B')

If AntiA does not react and AntiB reacts= B (A'∩B)

4 0
3 years ago
(2n-9)-(-2.4n+4) Please help!
Furkat [3]

Answer: =4.4n-13

Step-by-step explanation:

Let's simplify step-by-step.

2n−9−(−2.4n+4)

Distribute the Negative Sign:

=2n−9+−1(−2.4n+4)

=2n+−9+−1(−2.4n)+(−1)(4)

=2n+−9+2.4n+−4

Combine Like Terms:

=2n+−9+2.4n+−4

=(2n+2.4n)+(−9+−4)

=4.4n+−13

4 0
3 years ago
Solve the system of equations.<br> – 3y + 5x = 26<br> - 2 - 5x = -16
mylen [45]

Answer:

y=-4,\:x=\frac{14}{5}

Step-by-step explanation:

\begin{bmatrix}-3y+5x=26\\ -2-5x=-16\end{bmatrix}

Isolate x for -2-5x=-16:

x=\frac{14}{5}

\mathrm{Substitute\:}x=\frac{14}{5}

\begin{bmatrix}-3y+5\cdot \frac{14}{5}=26\end{bmatrix}

Simplify

\begin{bmatrix}-3y+14=26\end{bmatrix}

Isolate y for -3y+14=26:

y=-4

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

y=-4,\:x=\frac{14}{5}

7 0
2 years ago
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