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3 years ago

Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.

Mathematics

1 answer:

Gnoma [55]3 years ago

6 0

Answer:

5 units.

Step-by-step explanation:

For this problem, you will need to use the distance formula. The distance formula is as shown:

d= $\sqrt{({x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2} }$

We can plug in the points which would result in:

d= $\sqrt{({-4-0)^{2}+(-3-0)^{2} }$

When solved:

d= $\sqrt{25}$

d= 5 units

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Does anyone know how to do this?

Lena [83]

Answer:

Each guest would get 6 party favors.

Step-by-step explanation:

First, we find out how many party favors Amy bought. 3 bags of 12 party favors equals 36 party favors (3x12)

So, divide 36 party favors by 6 guests, and you get the final answer of 6 party favors per guest.

Hope this helps!!

6 0

2 years ago

What unit rate describes 100

Jobisdone [24]

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3 years ago

In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

3 years ago

two linear functions have the same slope,same x-intercept, and same y-intercept. Must these functions be identical? Explain your

Leviafan [203]

Yes, because only one line can go through two set points and because they have the same slope and the same x and y-intercepts they have two set points that they must both go through making them identical.

4 0

3 years ago

Someone please tell me the answer and how you got it :(

Nimfa-mama [501]

The ratio of wilma/teddy is 6/5 , if teddy has X then she has 21+X so you can solve X in this equation 6/5 = (21+x)/x

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3 years ago