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stellarik [79]
2 years ago
8

A test has 20 questions. If peter gets 80% correct, how many questions did peter missed?

Mathematics
2 answers:
Umnica [9.8K]2 years ago
8 0
16 because if you put 16 into a percentage it's 80. 16 divide 20 times 100 equal 80
denpristay [2]2 years ago
3 0
20 question and gets 80% correct answers.

therefore, 100% - 80% = 20% wrong answers.

20%*20questions = 0.2*20 = 4 questions



there are 4 questions that peter missed
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Estimate √97.5 / 1.96
evablogger [386]

Answer: 5


Step-by-step explanation:

 1. You have the following expression given in the problem above:

\frac{\sqrt{97.5}}{1.96}

2. You can estimate the result by rounding the numerator and the denominator.

3. As you can see, you can round up 97.5 to 100.

4. Then, you can round up 1.96 to 2.

5. Therefore, you have:

\frac{\sqrt{100}}{2}

\frac{10}{2}=5

6. Therefore, the result is 5.

3 0
3 years ago
Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |
dsp73

Looks like f(x,y)=x^2+y^2-x^2y+7.

f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1

f_y=2y-x^2=0\implies2y=x^2

  • If x=0, then y=0 - critical point at (0, 0).
  • If y=1, then x=\pm\sqrt2 - two critical points at (-\sqrt2,1) and (\sqrt2,1)

The latter two critical points occur outside of D since |\pm\sqrt2|>1 so we ignore those points.

The Hessian matrix for this function is

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}

The value of its determinant at (0, 0) is \det H(0,0)=4>0, which means a minimum occurs at the point, and we have f(0,0)=7.

Now consider each boundary:

  • If x=1, then

f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4

which has 3 extreme values over the interval -1\le y\le1 of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

  • If x=-1, then

f(-1,y)=8-y+y^2

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

  • If y=1, then

f(x,1)=8

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

  • If y=-1, then

f(x,-1)=2x^2+8

which has 3 extreme values, but the previous cases already include them.

Hence f(x,y) has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0
3 years ago
What is the meaning of 7.00 in this equation?
blsea [12.9K]

Answer:

Step-by-step explanation:

3 0
2 years ago
Eight less then 11 times a number is 47​
Studentka2010 [4]

Answer: X = 5

Step-by-step explanation:

The correct formula to solve the problem is:

11x - 8 = 47

First, add 8 to each side.

11x = 55

Solve it by dividing both sides by 11:

X = 5

8 0
3 years ago
A school wants to buy a chalkboard that measures 1 yard by 2 yards. The chalkboard costs $71.00 per square yard. How much will t
KengaRu [80]

Answer:

142

Step-by-step explanation:

6 0
3 years ago
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