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3 years ago

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The city park in which Allen plays is a square and measures exactly one million square feet. Which side dimensions produce the m

ost accurate measurement of the park? A) 998.8 x 997.7 B) 998.84 x 997.73 C) 998.843 x 997.731 D) 999 x 998

1 answer:

valentina_108 [34]3 years ago

4 0

A- 998.8×997.7=996502.76
B- 998.84×997.73=996572.6332
C- 998.843×997.731=996576.6252
D - 999×998=997002

So D is the answer

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2x^2=9-3x <br> Find the factors

d1i1m1o1n [39]

Answer:

x = -3, $\frac{3}{2}$

Step-by-step explanation:

The given quadratic equation is: $2x^2 = 9 - 3x$

This can be written as: $2x^2 + 3x - 9 = 0$

To solve a quadratic equation of the form $ax^2 + bx + c = 0$ we use the formula:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)}$

$\implies x = \frac{-3 \pm \sqrt{81}}{4}$

$\implies x = \frac{-3 \pm 9}{4}$

We get two values of 'x', viz.,

x = $\frac{-3 + 9}{4}$ and $\frac{- 3 - 9}{4}$

$\implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4}$

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $\frac{3}{2}$ ) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $\frac{3}{2}$ to see that this indeed is the given quadratic equation.

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3 years ago

Class of 50 students dressed up 38% have white shirts. How many are wearing white shirts?

shutvik [7]

Step-by-step explanation:

☥ $\underline{ \underline{ \text{Given} }}:$

Total number of students = 50
Percentage of students who are wearing white shirts = 38 %

☥ $\underline{ \underline {\sf{To \: find} }}:$

Total number of students who are wearing white shirts

☥ $\underline{ \underline{ \sf{Solution} }} :$

⟹ $\sf{38\% \: of \: 50} = \frac{38}{100} \times 50 = \boxed{ \sf{19}}$

$\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 19}}}}$

Hope I helped ! ♡

Have a wonderful day / night ツ

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3 0

3 years ago

The Venn diagram shows the results of two events resulting from rolling a number cube.

gulaghasi [49]

Answer: $P(A\cap B)=\frac{1}{3}$

$P(A)=\frac{1}{3}$

$P(B)=1$

$P(A|B)=\frac{1}{3}$

Step-by-step explanation:

From the given figure it can be seen that

Total number on cube= n(S)=6

Intersection of A and B = n(A ∩ B)= 2

Therefore,

$P(A\cap B)=\frac{n(A\cap B)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Also, The number of elements in A = 2

Therefore,

$P(A)=\frac{n(A)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Similarly, The number of elements in B= 6

Therefore,

$P(B)=\frac{n(B)}{n(s)}=\frac{6}{6}=1$

The formula to find the conditional probability is given by :-

$P(A|B)=\frac{P(A\cap B)}{P(B)}\\\\\Rightarrow P(A|B)=\frac{\frac{1}{3}}{1}=\frac{1}{3}$

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I think the answer is 1215

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Answer:

12/30

Step-by-step explanation:

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