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3 years ago

What is an equation of the line that passes through the point (1,−7) and is parallel to the line 3x+y=3

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

If I’m not wrong, I got y=-3x-4

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What is the 3rd term of the sequence 4n-1?

notsponge [240]

3(4) - 1 = 12 - 1 = 11

4 0

3 years ago

How to cross multiply 9/12 =x/100?

Ilia_Sergeevich [38]

The answer is 75. 1. You simplify which is 3/4
2. Change to decimal then number you will get .75 move decimal two to the right to change to number then you will get 75!

6 0

2 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

Last year, there were b pies baked for the bake sale. This year, there were 211 pies baked. Using b, write an expression for the

Marina86 [1]

Answer:

211+b=x

Step-by-step explanation:

8 0

3 years ago

Lita jogged for 7*3/10 kilometers on Friday. She jogged 1*3/4 kilometres more on Saturday. How many kilometres did she jog on bo

Elza [17]

7*3/10 = 2.1

1*3/4 = 0.75

2.1 + 0.75 = 2.85

hope this helps :)

8 0

3 years ago