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Stella [2.4K]
3 years ago
13

On his first three tests, Hiram got scores of 89, 95, and 90. His final test score brought his median score to 91.5. What was Hi

ram's final test score?
Mathematics
1 answer:
expeople1 [14]3 years ago
6 0
Median is one of the measures of center of data points along with mean and mode. This refers to the number of value which appeared in the center when the values are arranged in increasing order. If there are even number of data points, this is the mean of the two centermost values. 
 
In this case, if we are to arrange the values, we have,
  
     89, 90, x, 95

x is the score in the final test. that is placed in between 90 and 95 considering that the median is between these two numbers.

       91.5 = (90 + x) / 2

The value of x from the equation is 93.

The score in the third test is therefore equal to 93. 
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Which equation represents the hyperbola in general form?
valina [46]

ANSWER

D.

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

EXPLANATION

The standard equation of the hyperbola is

\frac{ {(y - 2)}^{2} }{4}  -  \frac{ {(x - 2)}^{2} }{9}  = 1

We multiply through by 36 to obtain:

9 {(y - 2)}^{2}  - 4( {x - 2)}^{2}  = 36

We now expand to get,

9( {y}^{2}  - 4y + 4) - 4( {x}^{2}  - 4x + 4) = 36

Expand :

9 {y}^{2}  - 36y + 36  - 4 {x}^{2}  + 16x - 16 = 36

To get the general form, we equate everything to zero to get,

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

The correct choice is D.

7 0
3 years ago
I need help with this. Can you help me?
Anastaziya [24]
The answer for 13 would be 4x-6x=2x
4 0
3 years ago
Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.
sladkih [1.3K]
This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 <span>• 9 = 54

Then multiply each numerator by the opposing denominator.

1 </span><span>• 9 = 9

2 </span><span>• 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.</span>
7 0
4 years ago
Function p(x), shown below, is translated 10 units up to create function q(x).
natulia [17]

Answer: q(x) = 0.005(x - 40)² + 70

<u>Step-by-step explanation:</u>

f(x) = a(x - h)² + k   <em>where a is the vertical stretch and (h, k) is the vertex.</em>

Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>

p(x) = 0.005(x - 40)² + 60

q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>

       = 0.005(x - 40)² + 70

3 0
3 years ago
Form the intersection for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∩ F =
madam [21]
The intersection of two sets is a set that contains elements that are common to both sets.
There are no common elements in sets E and F, so the answer is the empty set.

<span>E ∩ F =  { }</span>
3 0
3 years ago
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