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3 years ago

If the standard deviation is 7.3kg, what is the variance?

Mathematics

1 answer:

sasho [114]3 years ago

6 0

Answer:

The variance is 53.29 kg²

Step-by-step explanation:

The standard deviation is the square root of the variance.

$S(X) = \sqrt{V(X)}$

In which problem, we have that:

$S(X) = 7.3$

$\sqrt{V(X)} = 7.3$

$\sqrt{V(X)}^{2} = (7.3)^{2}$

$V(X) = 53.29$

The variance is 53.29 kg²

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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

3 years ago

Estimate the sum 8/10 + 1/9

RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

+ 1/

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

+ 10/

= 72 + 10/

= 82/

= 2 · 41/

2 · 45

= 41/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0

2 years ago

D-1/2=5/12 what is d??

EleoNora [17]

Answer:

d = $\frac{11}{12}$

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the $-\frac{1}{2}$ with the d, add $\frac{1}{2}$ to both sides.

$d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}$

Thus, d = $\frac{11}{12}$ .

6 0

3 years ago

Simplify the following fraction (9/16/1/4)-1/5

german

Answer: $\frac{41}{20}$

Step-by-step explanation:

The first step is to make the division of the fractions $\frac{9}{16}$ and

$\frac{1}{4}$ . To do this, you can flip the fraction $\frac{1}{4}$ over and multiply the numerators and the denominators of the fractions. Then:

$(\frac{\frac{9}{16}}{\frac{1}{4}})-\frac{1}{5}=(\frac{9}{16}*4)-\frac{1}{5}=\frac{36}{16}-\frac{1}{5}$

Reduce the fraction $\frac{36}{16}$ :

$=\frac{9}{4}-\frac{1}{5}$

Now you can make the subtraction: in this case the Least Common Denominator (LCD) will be the multiplication of the denominators. Divide each denominator by the LCD and multiply this quotient by the corresponding numerator and then subtract the products. Therefore you get:

$=\frac{45-4}{20}=\frac{41}{20}$

6 0

3 years ago

PLEASE HURRY What is the difference of the fractions? Use the number line to help find the answer 1/5 - 3/4

likoan [24]

Answer:

.55 difference or 11/20

Step-by-step explanation: hope this helps

(Don't know what the number line looks like)

Convert both to decimals, then subtract

5 0

3 years ago

Read 2 more answers