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2 years ago

What is the difference between domain and range?

Mathematics

1 answer:

alekssr [168]2 years ago

4 0

Domain: all x values between the ends of a line on the x- axis

Range: all y values between the ends of a line on the y-axis

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What is the area of this triangle? Enter your answer in the box. units²

Vesnalui [34]

Answer:

10u²

Step-by-step explanation:

The formula for area of a triangle is b*h/2. When you plug in the numbers, you get 10. Hope this helps!

6 0

1 year ago

Peter has money in two savings accounts. One rate is 6% and the other is 14%. If he has $900 more in the 14% account and the tot

-BARSIC- [3]

Answer:

$1375 at 14%
$475 at 6%

Step-by-step explanation:

Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...

0.14x + 0.06(x -900) = 221

0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify

x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%

(x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%

Peter invested $475 in the 6% account and $1375 in the 14% account.

7 0

3 years ago

The sample consisted of 50 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 25 day students,

bulgar [2K]

Answer: The test statistic is t= -0.90.

Step-by-step explanation:

Since we have given that

n₁ = 50

n₂ = 25

$\bar{x_1}=3.02\\\\\bar{x_2}=3.04\\\\\sigma_1=0.08\\\\\sigma_2=0.06$

So, s would be

$s=\sqrt{\dfrac{n_1\sigma_1^2+n_2\sigma_2^2}{n_1+n_2-2}}\\\\s=\sqrt{\dfrac{50\times 0.08^2+25\times 0.06^2}{50+25-2}}\\\\s=0.075$

So, the value of test statistic would be

$t=\dfrac{\bar{x_1}-\bar{x_2}}{s(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\t=\dfrac{3.02-3.04}{0.074(\dfrac{1}{50}+\dfrac{1}{25})}\\\\t=\dfrac{-0.04}{0.074(0.02+0.04)}\\\\t=\dfrac{-0.04}{0.044}\\\\t=-0.90$

Hence, the test statistic is t= -0.90.

7 0

2 years ago

What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?

Alex17521 [72]

Answer:

(-10,8)

Step-by-step explanation:

So our original point is (-6,9).

A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.

A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.

Therefore, the new point would be:

$(-6-4,9-1)\\=(-10,8)$

6 0

3 years ago

A person sold 100 shares of a stock at a loss of 40%. If the selling price for the 100 shares was $3,000, which of the following

Kisachek [45]

A person sold 100 shares of a stock at a loss of 40%.

selling price for the 100 shares was $3,000

Let the stock was bought at $x then we can write

$x-\frac{40x}{100}=3000\\ \\ \frac{100x-40x}{100}=3000\\ \\ \ \frac{60x}{100}=3000\\ \\ \ 60x= 3000*100\\ \\ x=\frac{3000*100}{60} \\ \\ \ x=5*100=5000\\$

Hence Amount paid for the Stock was $5000

7 0

3 years ago