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Phoenix [80]
3 years ago
7

A test has 20 questions how many do you need to answer correctly in order to get 4/5 of them right

Mathematics
2 answers:
Ket [755]3 years ago
7 0

4/5 x 20 = 16


Answer: 16 questions

lora16 [44]3 years ago
5 0

To figure out the question, we can do 20 multiplied by 4/5, aka 0.8, and we get 16 questions as our answer!

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Please include work!
geniusboy [140]

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

5 0
3 years ago
Consider the following time series data: Month 1 2 3 4 5 6 7 Value 25 13 21 13 20 22 14 (a) Compute MSE using the most recent va
marishachu [46]

Answer:

a. MSE = 64.8

b. Forecast for month 8 is 14.

Step-by-step explanation:

MSE = \frac{sum (error)^{2} }{n-1} \\

where error= value-forecast

Using the most recent value as the forecast for the next period, we have forecasts for the months as;

(1,-) , (2,25) , (3,13) , (4,21) , (5,13) , (6,20) , (7,22)

error = (-, -12, 8, -8, 7, 2, -8, -)

error^{2} = (-, 144, 64, 64, 49, 4, 64, -)

sum(error^{2} ) = 389

MSE = \frac{389}{7-1} = 64.833333

Therefore, MSE = 64.8 (1 decimal place).

The Forecast for month 8 is 14 since we are using the most recent value as the forecast for the next period.

8 0
3 years ago
Read 2 more answers
Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Ivan

Step-by-step explanation:

If the parabola has the form

y = a(x - h)^2 + k (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\text{focus} = (h, k +\frac{1}{4a})

where \frac{1}{4a} is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

5 0
3 years ago
What is the solution i need it fast!!!
zloy xaker [14]

Answer:

<u>x < 3</u>

Step-by-step explanation:

<em>~Hope this answers your question!~</em>

4 0
3 years ago
A sandbox is being built in a park. The diagram shows the four vertices of the sandbox. Each unit in the
____ [38]

Answer:

the answer is 90 square feet.

Step-by-step explanation:

the length is 10, and the height is 9.

10×9=90

5 0
3 years ago
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