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3 years ago

Y=-3/2x+8 find slope and y intercept

Mathematics

2 answers:

Lostsunrise [7]3 years ago

8 0

Answer:

X = 5.3333

Y= 8

Step-by-step explanation:

Set it equal to 0 solve for x

Substitute 0 for x, solve for y

den301095 [7]3 years ago

7 0

Answer:

$m=-\frac{3}{2}; b=8$

Step-by-step explanation:

The equation is in slope-intercept form. $y=mx+b$

The 'm' represents the slope.

The 'b' represents the y-intercept.

In the equation $y=-\frac{3}{2}x+8$ , -3/2 is in place of 'm', and 8 is in place in 'b'.

This means that -3/2 is the slope and 8 is the y-intercept.

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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

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6 0

2 years ago

How many variables are in the following expression 3x+4y+z

arsen [322]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

During batting practice, Lenora hit 60% of the 20 pitches that were thrown to her. What fraction of the pitches thrown did Lenor

expeople1 [14]

Answer:

A 3/5

Step-by-step explanation:Here’s one way to solve this problem.

Write sixty percent as a fraction having a denominator of one hundred.

Now, change sixty-hundredths to an equivalent fraction having a denominator of twenty, the total number of pitches.

Do this by dividing the numerator and the denominator by five.

Then, simplify the fraction twelve-twentieths by dividing the numerator and the denominator by four.

So, Lenora hit three-fifths of the pitches.

6 0

2 years ago

Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms

mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals. Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram

Given

AD || BC

From the definition of a parallelogram

AD = BC Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA

Angle-Side-Angle

BO=OD Corresponding sides in congruent triangles AO=OC Corresponding sides in congruent triangles.

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2 years ago

Grant took $27.75 to the movies last friday. each ticket costs g dollars. write an expression to represent the amount of money g

Stolb23 [73]

To represent how much money Grant will have remaining after he buys 3 tickets, you would think of subtracting g, the price of one ticket 3 times. This could be represented by subtracting groups of g as well.

27.75 - g - g - g or $27.75 - 3g

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3 years ago