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3 years ago

In 3 years time Sarah will be twice as old as Emma was last year .Emma now 11 years how old is Sarah

Mathematics

2 answers:

REY [17]3 years ago

7 0

Answer:

Sarah is 25 years old

Step-by-step explanation:

Andrews [41]3 years ago

3 0

Answer:

Step-by-step explanation:

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12. Write the equation of a parabola with vertex at<br> (2, -3) and focus at (2,5),

Tatiana [17]

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

7 0

3 years ago

Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)

Brrunno [24]

Answer:

$- 3(x + 4) {}^{2} - 4$

Step-by-step explanation:

Vertex form is

$a(x - h) {}^{2} + k = f(x)$

We know that h and k are both -4. Let x be -2 and y be -16.

$a( - 2 + 4) {}^{2} - 4 = - 16$

$a(2) {}^{2} - 4 = - 16$

$4a - 4 = - 16$

$4a = - 12$

$a = - 3$

So the equation in vertex form is

$- 3(x + 4) {}^{2} - 4$

5 0

3 years ago

Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines

Vedmedyk [2.9K]

Answer:

Hence, the probability of a Negative test is $P(T^C)=0.5904$ .

Step-by-step explanation:

(a)

Let $D=$ Drug user and $T=$ Test positive

Probability of drug users $P(D)=36\%=0.36$

$P(\frac{T}{D})=96\%=0.96$

$P(\frac{T^c}{D^c})=90\%=0.90$

(b)

Find the Probability of a Negative test,

$P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)$

$\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36$

$\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36$

$\Rightarrow P(T^C)=0.576+0.0144$

$\Rightarrow P(T^C)=0.5904$

4 0

3 years ago

Is y=(x/2)^2 a function?

frozen [14]

By the look of it the answer is yes

7 0

3 years ago

One number is six less than a second number. Six times the first is 8 more than 4 times the second. Find the numbers.

irinina [24]

Answer:

x-6=y

6x= 8+4y

Step-by-step explanation:

3 0

4 years ago