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3 years ago

How can I simplify this Slope Intercept Form equation Y=30+2x

Mathematics

2 answers:

vodka [1.7K]3 years ago

8 0

Answer:

Fun Fact: Earth used to be purple :O

Step-by-step explanation:

Nuetrik [128]3 years ago

3 0

Divide the whole equation by 2 so it would be y=x+15 or make your graph go by 2 or 5

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A batch of cookies requires 3/8 cup of butter. Butter can be purchased in boxes, each containing 4 sticks, with 1 stick equivale

bonufazy [111]

Firstly, we need to find how many cups of butter is needed to bake $15$ batches. We will need $15 \cdot \frac{3}{8} = \frac{45}{8}$ cups of butter. This is $5.625$ cups. Since we can only buy butter in boxes with 2 cups of butter in it, we will have to buy 3. This will give us 6 cups of butter, which will be enough. If we only buy 2, then we will only have 4 cups of butter, which won't be enough to bake 15 batches of cookies.
So, the answer is $\boxed{3}.$

8 0

3 years ago

What is the area of the shaded region?

Tresset [83]

Answer:

$21.5 \: {cm}^{2}$

Step-by-step explanation:

Area of the shaded region =Area of square with side 10 cm - Area of circle with radius 5 cm

$= {10}^{2} - 3.14 {(5)}^{2} \\ = 100 - 3.14 \times 25 \\ = 100 - 78.5 \\ = 21.5 \: {cm}^{2}$

5 0

3 years ago

Read 2 more answers

A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exp

Jet001 [13]

Answer:

a) $P(X=13)=(24C13)(0.4)^{13} (1-0.4)^{24-13}=0.0608$

$P(X=17)=(24C17)(0.4)^{17} (1-0.4)^{24-17}=0.0017$

$P(X=13 U X=17) = 0.0608+0.0017=0.0624$

b) $P(X \geq 17)=0.000427$

c) $P(X \geq 16)= 1-0.000427=0.9996$

d) $E(X)= np = 22*0.4=8.8$

e) $Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.4)$