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3 years ago

Find the slope-intercept equation of the line that passes through (0,4) and has a slope of 1.

Mathematics

2 answers:

rodikova [14]2 years ago

4 0

Answer:

y=1x+4 is the answer :))))

telo118 [61]2 years ago

3 0

Answer:

y = x + 4

Step-by-step explanation:

slope intercept equation: y = mx + b

m = slope

b = y-intercept(when x =0)

use the points given; (0,4) and m = 1

to find b

y = mx + b

4 = 1(0) + b

4 = b

now put your equation together.

y = 1x + 4

or y = x + 4

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9) Which solution is correct? Be sure to check for extraneous solutions.

shutvik [7]

(x+3)2 = x2+6x+9

(x+2)2 = x2+4x+4

(x-1)2 = x2-2x+1

3 0

3 years ago

Aria and her two friends met up for dinner. They want to split the cost of dinner evenly between the friends but first had to ge

SOVA2 [1]

Answer:

A. 50.38

Step-by-step explanation:

Bill is 38.96. Calculate sales tax: 38.96x.0775=3.02.

38.96 + 3.02=41.98 total before tip

41.98x.20=8.40 tip

41.98 + 8.40=50.38

8 0

3 years ago

A common blood test performed on pregnant women to screen for chromosome abnormalities in the fetus measures the human chorionic

goldfiish [28.3K]

Answer:

(a) The proportion of women who are tested, get a negative test result is 0.82.

(b) The proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

Step-by-step explanation:

The Bayes' theorem states that the conditional probability of an event E $_{i}$ , of the sample space S, given that another event A has already occurred is:

$P(E_{i}|A)=\frac{P(A|E_{i})P(E_{i})}{\sum\liits^{n}_{i=1}{P(A|E_{i})P(E_{i})}}$

The law of total probability states that, if events E₁, E₂, E₃... are parts of a sample space then for any event A,

$P(A)=\sum\limits^{n}_{i=1}{P(A|B_{i})P(B_{i})}$

Denote the events as follows:

X = fetus have a chromosome abnormality.

Y = the test is positive

The information provided is:

$P(X)=0.04\\P(Y|X)=0.90\\P(Y^{c}|X^{c})=0.85$

Using the above the probabilities compute the remaining values as follows:

$P(X^{c})=1-P(X)=1-0.04=0.96$

$P(Y^{c}|X)=1-P(Y|X)=1-0.90=0.10$

$P(Y|X^{c})=1-P(Y^{c}|X^{c})=1-0.85=0.15$

(a)

Compute the probability of women who are tested negative as follows:

Use the law of total probability:

$P(Y^{c})=P(Y^{c}|X)P(X)+P(Y^{c}|X^{c})P(X^{c})$

$=(0.10\times 0.04)+(0.85\times 0.96)\\=0.004+0.816\\=0.82$

Thus, the proportion of women who are tested, get a negative test result is 0.82.

(b)

Compute the value of P (X|Y) as follows:

Use the Bayes' theorem:

$P(X|Y)=\frac{P(Y|X)P(X)}{P(Y|X)P(X)+P(Y|X^{c})P(X^{c})}$

$=\frac{(0.90\times 0.04)}{(0.90\times 0.04)+(0.15\times 0.96)}$

$=0.20$

Thus, the proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

6 0

3 years ago

Hi guys, I really need help, I reckon this is easy for you but I'm low-key disabled and need help with this question so please h

serious [3.7K]

Answer:

15, 8, 66%, 40

Step-by-step explanation:

Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.

In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.

question a)

50 dollars or less, so the area of 50 dollars and below that.

from the chart we can see that this lines up to around 15 people.

question b)

now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)

we know if you didn't spend 100 dollars or less, you must have spent more than that.

so take 50-42=8

around 8 people spent 100 dollars or more.

question c)

basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.

33/50 = 0.66

around 66%

question d)

80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.

50 times 0.8 = 40

40 people

now just plot that on the graph (sorry i did it wrong in the image)

8 0

3 years ago

What is the estimate value of 976 divided by 0.188

deff fn [24]

Answer:

5,191.48936

Step-by-step explanation:

Given:

976 / 0.188

Find:

Value

Computation:

⇒ 976 / 0.188

⇒ 976000 / 188

5,191.48936

5 0

3 years ago