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Tanya [424]
3 years ago
12

Liam sarah and Emily share some money in the ratio 2:3:7 Emily got £80 more than liam how much money did sarah get

Mathematics
1 answer:
sergey [27]3 years ago
3 0
Sarah got £48, Liam got £32, and Emily got £112
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What is the slope of the line on the graph?
bearhunter [10]
The answer is c…the slope is 2
7 0
2 years ago
Factor completely 3X^2 -25​
Dominik [7]

In order to factor a polynomial, you have to find its roots

x_1,\ x_2,\ldots,x_n

So that you can factor it as

p(x)=(x-x_1)(x-x_2)\cdots(x-x_n)

So, in this case, we're looking for the solutions of

3x^2-25=0 \iff 3x^2=25 \iff x^2 = \dfrac{25}{3} \iff x=\pm\sqrt{\dfrac{25}{3}}=\pm\dfrac{5}{\sqrt{3}}

So, the polynomial can be written as

3x^2-25 = \left(x-\dfrac{5}{\sqrt{3}}\right)\left(x+\dfrac{5}{\sqrt{3}}\right)

5 0
3 years ago
Please help with finding what quandrant theta is in? (Problem 8)
lora16 [44]
Now the same thing with an emphasis on the same time, the only
6 0
3 years ago
Which exponential function is represented by the values in the table?
Goryan [66]

Answer:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

f(x)=A\cdot r^x

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0

f(0) = 4

This gives the correct value of f(0)=4.

Substituting in the fourth function:

\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0

f(0) = \frac{1}{2}

This choice is wrong

Correct choice:

\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}

8 0
3 years ago
All human blood can be "ABO-typed" as O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Her
Tanya [424]

Answer:

a. Pr(They both have type O)

= Pr(They both have type O)

= 0.35 x 0.45

= 0.1575 = 15.75%

b. Pr( they both have the same blood type)

= Pr( they both have the same blood type)

= 2/8

= 0.25 = 25%

c. Pr( at least one person has type O)

= Pr (at least one person has type O)

= 1 - 0.3575

= 0.6425 = 64.25%

Step-by-step explanation:

a) Data:

                   O       A         B       AB

Chinese   0.35   0.27    0.26     0.12

American 0.45   0.4      0.11       0.04

b) Calculations:

i. Pr(They both have type O)

= Probability of Chinese with O multiplied by Probability of American with O

= 0.35 * 0.45

= 0.1575 = 15.75%

ii. Pr( they both have the same blood type)

= Probability of two out of 8 outcomes

= 2/8

= 0.25 = 25%

iii. Pr( at least one person has type O)

= Probability of (1 – p(none) )

The probability of none = p(none O blood type)

= p(none)

for Chinese = (0.27 + 0.26 + 0.12) * for American ( 0.4 + 0.11 + 0.04)

= 0.65 * 0.55 = 0.3575

Pr (at least one person has type O) = 1 - 0.3575

= 0.6425

4 0
3 years ago
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