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Luda [366]
2 years ago
12

Type your response in the box. Go to the graphing tool and graph these equations in the same coordinate plane. Then use the grap

hs you created to answer the questions. y = 3x – 2 y = x + 2 What do the graphs have in common? What’s different about the graphs?
Mathematics
1 answer:
Oxana [17]2 years ago
8 0

Answer:

hi

Step-by-step explanation:

Tata bye bye skksnsnsnsjosksnsnsbbsjskns svs

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The heights of twelve month old boys are normally distributed with a mean of 29.8 inches and a standard deviation of 1.2 inches.
Triss [41]

Answer:

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 29.8, \sigma = 1.2

About twenty-one percent of twelve month old boys are shorter than what height?

This is the value of X when Z has a pvalue of 0.21. So it is X when Z = -0.805.

Z = \frac{X - \mu}{\sigma}

-0.805 = \frac{X - 29.8}{1.2}

X - 29.8 = -0.805*1.2

X = 28.8

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

4 0
4 years ago
A rectangle is three centimeters.longer than it is wide. if its length were to be decreased by two centimeters, its area would d
Scorpion4ik [409]
Given/equations formed from text:
I: l=w+3
II: A=l*w
III: new area B=(l-2)*w
IV: B=A-30

substitute l in II with I to remove l:
II': A=l*w=
(w+3)*w=
w^2+3w

substitute l in III with I to remove l:
III': B=(l-2)*w=
(w+3-2)*w=
(w+1)*w=
w^2+w

substitute A and B from II' and III' into IV:
B=A-30
w^2+w=w^2+3w-30
30=2w
w=15

insert w=15 into I:
l=15+3=18
->
A) dimensions of full size rectangle are width 15 and length 18
dimensions of reduced size rectangle are width 15 and length 16

B) full size: 15*18=10*18+5*18=180+90=270cm^2
reduced size: 15*16=10*16+5*16=160+80=240cm^2


7 0
4 years ago
Please help
marishachu [46]
The second one is answer
3 0
3 years ago
Read 2 more answers
Suppose that Frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random.
BaLLatris [955]

Answer:

3/4

Step-by-step explanation:

Given the following :

Number of boxes = 2

First box :

White balls = 3

Blue balls = 2

Second box:

White balls = 4

Blue balls = 1

What is the probability that Frida picked a ball from the first box if she has selected a blue ball?

Probability (P) = (required outcome / Total possible outcomes)

Probability of picking first box : P(F) = 1/2

Probability of not picking second box :P(S) 1/2

Probability of picking blue from first box : P(B | F) = 3/5

Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5

probability that Frida picked a ball from the first box if she has selected a blue ball?

P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))

(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)

3/10 ÷ (3/10 + 1/10)

3/10 ÷ 4/10

3/10 * 10/4

= 3/4

7 0
3 years ago
15% of 60 and what is a model for it
svp [43]
15% is equal to 15/100 or .15
To find a part of a number, multiply the decimal form of the percentage by the number, or 60* 0.15. The answer is 9

Model:
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There are 60 items, and 15% of them are question marks.
6 0
4 years ago
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