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Oksi-84 [34.3K]

3 years ago

6

Starbucks sold 200 coffees in the last hour, 40 of which were lattes. What is the probability that the next drink sold will be a

latte?
a. 1/5
b. 1/10
c. 4/5
d. 1/4

2 answers:

MrMuchimi3 years ago

5 0

Answer:

Starbucks sold 200 coffees in the last hour, 40 of which were lattes. What is the probability that the next drink sold will be a latte? A. 1/5

Step-by-step explanation:

40/200

= (40:40)/(200:40)

= 1/5

zhuklara [117]3 years ago

3 0

Answer:

1/5

Step-by-step explanation:

start with 40/200 and simplify it. they can both be divided by 40, so 40 divided be 40 is 1 hence the numerator, and 200 divided by 40 is 5, the denominator. Hope this helps !! :)

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What i more 2.5 lb of rock or 40 oz of feathers

il63 [147K]

1 lb=16 oz
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Therefore, they weigh the same amount

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4 years ago

The sum of three consecutive numbers is 72. What are the smallest of these numbers?

STALIN [3.7K]

X+(x+1)+(x+2)=72
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7 0

4 years ago

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[3]<br>(b)<br>Calculate the values of c for which 2x2 – 3x + c>-2 for all values of x.

hoa [83]

Answer:

c > -7/8

Step-by-step explanation:

Add 2 for an inequality that compares to zero:

2x^2 -3x +(c+2) > 0

This will be true when the discriminant is negative. For the quadratic ...

ax^2 +bx +c

the discriminant is ...

b^ -4ac

We want this to be negative:

(-3)^2 -4(2)(c+2) < 0

9 -8(c +2) < 0

9 -8c -16 < 0

-7 < 8c

-7/8 < c

The given inequality will be true for all values of c greater than -7/8.

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3 years ago

Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo

adell [148]

Answer:

$[tex]4608\sqrt{3}$ [/tex]

Step-by-step explanation:

1. $\sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}$

2. $\sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$ <em>factoring 96</em>

<em>since $\sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}$ </em>

3. $\sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>using exponent rule - $(a^{b}) ^{c} = a^{bc}$ </em>

<em> $\sqrt{2^{5} } = 2^{5/2}$ </em>

4. $2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>doing some simple simplification and $4=2^{2}$ and 6=2*3</em>

5. $2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}$

<em>collecting the roots on one side and applying exponent rule</em>

6. $\sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}$

<em>Applying exponents rule on all $\sqrt{3}$ and $\sqrt{2}$ </em>

<em>7. $2^{1/2+1/2+1/2} *2^{5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$ </em>

<em>combining all powers of 2</em>

8. $2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$

<em>Simplifying</em>

9. $2^{9} *3^{2}\sqrt{3}$

10. $512*9\sqrt{3}$

11. $4608\sqrt{3}$

8 0

3 years ago

Read 2 more answers

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Gennadij [26K]

Answer:

$\frac{(x+2)^2}{121} + \frac{(y-1)^2}{169} = 1$

Step-by-step explanation:

First, we identify that the vertices are vertical.
(an image below is attached if you want to see a visualization)
Therefore, the equation is such:

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1$

(h,k) is the center of the ellipse, which we could easily calculate by finding the midpoint between any pair of vertices.

This gets us (-2, 1)

Therefore, h = -2, k = 1

Now we want to find a,

we know the length of the major axis is 2a, and in this case, our length of the major axis is 26. So a = 13

Now we want to find b,

We know the length of the minor axis is 2b, and in this case, our length is 22, so b = 11

Now we will just plug in all the values and simplify to get our answer! B)

4 0

2 years ago