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3 years ago

8

What location on a component usually has the coordinates (0,0)?

1 answer:

andrey2020 [161]3 years ago

6 0

An origin
hope this helps!<3

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Out of 25 students taking a midterm psychology exam, 15 answered the first of two bonus questions, 11 answered the second bonus

Burka [1]

Answer:

Percentage of students who tried both questions = $8\%$

Percentage of students who tried at least one question = $96\%$

Step-by-step explanation:

Given: 25 students take a midterm psychology exam, 15 answered the first of two bonus questions, 11 answered the second bonus question, and 1 didn't bother with either one.

To find: percentage of students who tried both questions and percentage of students who tried at least one question

Solution:

Let A denotes students who answered the first of two bonus questions and B denotes students who answered the second bonus question.

Let U denotes the universal set denoting students who take a midterm psychology exam.

$n(A)=15\,,\,n(B)=11\,,\,n(U)=25$

$n\left ( A'\cap B' \right )=1$

$n\left ( A'\cap B' \right )=n\left ( A\cup B \right )'\\=n(U)-n\left ( A\cup B \right )\\\Rightarrow 1=25-n\left ( A\cup B \right )\\n\left ( A\cup B \right )=25-1=24$

$n\left ( A\cup B \right )=n(A)+n(B)-n\left ( A\cap B \right )\\24=15+11-n\left ( A\cap B \right )\\n\left ( A\cap B \right )=15+11-24=2$

Percentage of students who tried both questions = $\frac{2}{25}\times 100=8\%$

Percentage of students who tried at least one question = $\frac{24}{25}\times 100=96\%$

7 0

3 years ago

7-3x+2= please answer

OLEGan [10]

Answer: 7-3x+2 =−3x+9

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

3 0

3 years ago

Read 2 more answers

6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned

kap26 [50]

Answer:

$2000

Step-by-step explanation:

6,000 dollars is invested in two different accounts earning 3% and 5% interest.

Let x be the amount invested in account earning 3% interest

So, 6000-x is the amount invested in account earning 5% interest

$S.I. =\frac{P\times R\times T}{100}$

So, Simple interest for account earning 3% interest

$S.I. =\frac{x \times 3 \times 1}{100}$

$S.I. =0.03x$

Simple interest for account earning 5% interest

$S.I. =\frac{(6000-x) \times 5 \times 1}{100}$

$S.I. =0.05(6000-x)$

$S.I. =300-0.05x$

Since we are given that the two accounts earned $220 in interest

So, $0.03x+300-0.05x=220$

$−0.02x+300=220$

$80=0.02x$

$\frac{80}{0.02}=x$

$4000=x$

So, 4000 was invested at 3%

(6000-x)=6000-4000=2000 was invested at 5%

Hence 2000 was invested at 5%

8 0

4 years ago

Mr. Loh is bored over winter break so he gets a temporary job at a halal cart. He gets paid 3$ for each chicken over rice that h

Masja [62]

Answer:

halal cart. Imao. does he sell fatoush

Step-by-step explanation:

3 0

3 years ago

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Perform the indicated operation g(x)=-x-3 h(x) = x 2+X Find (goh) (x)

Klio2033 [76]

Answer:

$(g\circ h)(x)=-x^2-x-3$

Step-by-step explanation:

So we have the two functions:

$g(x)=-x-3\text{ and } h(x)=x^2+x$

And we want to find:

$(g\circ h)(x)$

This is the same thing as:

$=g(h(x))$

So, substitute h(x) into g(x):

$g(x)=-x-3\\g(h(x))=-(x^2+x)-3$

Distribute the negative:

$g(h(x))=-x^2-x-3$

And we're done!

So:

$(g\circ h)(x)=-x^2-x-3$

6 0

3 years ago

Read 2 more answers