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Dmitry_Shevchenko [17]

4 years ago

8

Distance between (5,0) and (2,-2)

1 answer:

GuDViN [60]4 years ago

4 0

Answer: d(distance) = $\sqrt13\\$

Hope this help!

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Answer this plz<br> find 7%of£40

posledela

£2.8

7% of £40 is £2.8

4 0

3 years ago

Evaluate the function?

marusya05 [52]

Answer:

290

Step-by-step explanation:

f(x) = $3x^{2} - x$

f(10) = $3*(10)^{2} - 10$

= 3 * 100 - 10

= 300 - 10

= 290

8 0

3 years ago

Please help!! I don’t get it

Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting $x$ represent the number of hot dogs and $y$ the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

$6x + 4y = 14.10$

The Farley family bought 3 hot dogs and 4 juices for $9.15.

$3x + 4y = 9.15$

Now, we subtract these equations.

$6x + 4y = 14.10\\- (3x + 4y = 9.15)$

Since $y$ has reversed coefficients, it gets eliminated. Now solve for x.

$6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}$

$\frac{4.95}{3} = 1.65$

$x = 1.65$

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

$6x + 4y = 14.10$

$6(1.65) + 4y = 14.10$

$9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2$

$\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05$

$x$ = 1.65

$y$ = 1.05

$x$ represents hotdogs and $y$ represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0

3 years ago

In a sample of 700 gas stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati

frez [133]

Answer:

$P(x < 2.892) = 4.36\%$

Step-by-step explanation:

Given

$N = 700$ --- Population

$\mu = 2.894$ -- Mean

$\sigma = 0.009$ --- Standard deviation

$n = 55$ -- Sample

Required: $P(x < 2.892)$

This question will be solved using the finite correction factor

First, calculated the z score

$z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}$

$z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}$

$z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}$

$z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}$

$z = \frac{-0.002}{0.95917 * 0.0012129}$

$z = -1.71$

So:

$P(x < 2.892) = P(z < -1.71)$

Using z table

$P(x < 2.892) = 0.043633$

$P(x < 2.892) = 4.36\%$

3 0

3 years ago

Evaluating expressions

ad-work [718]

Step-by-step explanation:

6.) 8p = 8x9 = 72

8.) 4(d+7) = 4(-2+7) = 4(5) = 20

can't read all of 10 to give an answer

7 0

3 years ago