The coordinates of the endpoints of BC are B(6,13) and C(11, – 2). Point D is on BC and divides it such that CD:BD is 1:4.
The coordinates of the endpoints of
BC
are B(6,13) and C(11,

2). Point D is on
BC
and divides it such that CD:BD is 1:4.
What is the sum of the coordinates of D?
Write your answer as an integer or decimal.

Answers

Answer 1

9514 1404 393

Answer:

  11

Step-by-step explanation:

Point D can be found to be ...

  D = (4C +B)/5 = (4(11, -2) +(6, 13))/5 = (50, 5)/5 = (10, 1)

The sum of the coordinates of D is ...

  10 +1 = 11


Related Questions

Solve the equation f(x)=g(x) by graphing. f(x)=2xg(x)=32x+1 How many solutions does the equation f(x)=g(x) have?

Answers

Answer:X=(-2,3) or X= (0,0)

Help, please I don’t understand this

Answers

Answer:

Step-by-step explanation:

-6.34

You can just use the calculator. :)

Answer:

-6.34

Step-by-step explanation:

so the -6 would stay the same since it is a whole number. since the denominator is half of 100, you would multiply it by 2 (17/50*2) to keep the fraction equal you would do the same to the numerator (17*2/100) getting 34/100. you would put a decimal before the 34 since it is not whole, getting -6.34

Babies born after 40 weeks gestation have a mean length of 52.2 centimeters (about 20.6 inches). Babies born one month early have a mean length of 47.4 cm. Assume both standard deviations are 2.5 cm. and the distributions are unimodal and symmetric. a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm. b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean. c. For which group is a birth length of 45 cm more common

Answers

Answer:

a) [tex]Z = -2.88[/tex]

b) [tex]Z = -0.96[/tex]

c) 40 weeks gestation babies

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm.

Here, we use [tex]\mu = 52.2, \sigma = 2.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 52.2}{2.5}[/tex]

[tex]Z = -2.88[/tex]

b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean.

Here, we use [tex]\mu = 47.4, \sigma = 2.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 47.4}{2.5}[/tex]

[tex]Z = -0.96[/tex]

c. For which group is a birth length of 45 cm more common?

For each group, the probability is 1 subtracted by the pvalue of Z.

Z = -2.88 has a lower pvalue than Z = -0.96, so for Z = -2.88 the probability 1 - pvalue of Z will be greater. This means that for 40 weeks gestation babies a birth length of 45 cm is more common.

please i really need help

Answers

76 and72 north 72 and south 76 thanks and you welcome

Johanna graphed the number of calls she made during one day. How many calls were made before 6 pm?
Cell Phone Calls
12
10
00
Number of calls
6
4
2
0
10 am.- 12 p.m.- 2 p.m. - 4 p.m.- 6 p.m. - 8 p.m.-
11:59 am 1:59 p.m. 3:59 p.m. 5:59 p.m. 7:59 p.m. 9:59 pm
Time of Day

Answers

Answer:

im pretty sure its 4! if not 6!

the office supplies account started the year with a 4000 debit balance. During the year, the company purchased supplies for 13,400 which added to the office supplies account. the inventory of supplies available at the end of the year total2334. what is beginning balance

Answers

Answer:

Debit Office Supplies Expense: 15,066, Credit Office Supplies: 15,066

Step-by-step explanation:

Office Supplies Account started with a $4000 debit balance.

Apply the adjustment of the end of the year total. $4000-$2334 = $1666.

The company purchased supplies for $13,400

$13,400 + $1666 = $15,066

Is assets debit or credit

Answers

Answer:

Debit

Step-by-step explanation:

Assets and expenses have natural debit balances. This means positive values for assets and expenses are debited and negative balances are credited. For example, upon the receipt of $1,000 cash, a journal entry would include a debit of $1,000 to the cash account in the balance sheet, because cash is increasing.

Answer:

debit

Step-by-step explanation:

What is the approximate volume of a can that is 5 inches tall and has a 2.5 inch diameter?
F. 19.6 cu in.
G. 98.1 cu in.
H. 24.5 cu in.
J. 39.3 cu in.

Answers

The volume of a can, or cylinder, is V = pi x r^2 x h. r = 1/2 diameter, so r = 1.25. H is the height, so h = 5 in. Thus, V = 3.14 x (1.25)^2 x 5 = 24.5 cubic inches

You’re working at a theater where you are evaluating attendance at several events. From the first event to the second event, attendance dropped from 250 to 230. Find the percent decrease to the nearest percent.

Answers

The percent decrease is 8 percent

Brainiest pls

Answer:

the answer is C

Step-by-step explanation:

the percent decrease is by 8 percent

Find the exact value of sec theta if csc theta = -4/3 and the terminal side of theta lies in quadrant III

Answers

Answer:

-4 sqrt(7)/7

Step-by-step explanation:

csc theta = -4/3

csc theta = hypotenuse / opposite side

hypotenuse = 4  

opposite  = 3

Using the pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 4^2

9+b^2 = 16

b^2 = 16-9

b^2 = 7

Taking the square root

sqrt(b^2) = sqrt(7)

b = sqrt(7)

We are in the third quadrant so only tan  and cot are positive

that means the x and y values are "negative"  so a = -3 and b = - sqrt(7)

sec theta = hypotenuse / adjacent

                = 4/ - sqrt(7)

rationalizing  

                   -4 sqrt(7)/ sqrt(7)* sqrt(7)

                = -4 sqrt(7)/7

           

The sum of two rational numbers is −3/5 . If one of them is −9/20, find the other.

Answers

Answer:

-3/20

Step-by-step explanation:

Let other number = x

∴ -9/20 + x = -3/5

∴ x = -3/5 + 9/20

∴ x = -3/20

Hope this helps  :) !!!!

Answer:

[tex]-\frac{3}{20}[/tex]

Step-by-step explanation:

GIVEN :-

One of the two rational numbers = [tex]-\frac{9}{20}[/tex]  

TO FIND :-

Sum of two rational numbers = [tex]-\frac{3}{5}[/tex]

SOLUTION :-

Let the another rational number be 'x'.

According to the question , the equation formed will look like this :-

[tex]x + (-\frac{9}{20} ) = -\frac{3}{5}[/tex]

[tex]=> x - \frac{9}{20} = -\frac{3}{5}[/tex]

Now solve the equation.

Add  [tex]\frac{9}{20}[/tex] to both the sides of equation in order to isolate 'x'.

[tex]=> x - \frac{9}{20} + \frac{9}{20} = -\frac{3}{5} + \frac{9}{20}[/tex]

[tex]=> x = \frac{9}{20} - \frac{3}{5} = \frac{9 - (3 \times 4)}{20} = \frac{9 - 12}{20} = \frac{-3}{20}[/tex]

lus
Find the measure of 46.
46 = [?]
24
46
Enter

Answers

Answer:

46

Step-by-step explanation:

Answer:

156°

Step-by-step explanation:

∠6 is supplementary with 24° as consecutive interior angles.

m∠6 + 24° = 180°m∠6 = 180° - 24°m∠6 = 156°

A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too high and wants to test to see if it is lower. She selects a random sample of 200 adults and finds that 74 of them are registered organ donors. Perform the hypothesis test at the 0.05 level. Compute the P-value and state a conclusion. Question 21 options: There is not enough evidence to conclude that the proportion of registered organ donors is not less than 40%. There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%. P-value

Answers

Answer:

Pvalue = 0.193

There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

Step-by-step explanation:

H0 : p = 0.4

H1 : p < 0.4

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 74 / 200 = 0.37

Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200

Z = - 0.03 / √0.0012

Z = - 0.03 / 0.0346410

Z = - 0.866

Test statistic = -0.866

The Pvalue :

P(Z < -0.866) = 0.193

α - level = 0.05

If Pvalue < α ; Reject H0

Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

What is the degree of the equation?

What is the Leading Coefficient the equation ?

Solve using the Quadratic Equation.

5x2 - 3X -8=0

Answers

Answer:

Degree: x= -1, [tex]\frac{8}{5}[/tex]

leading coefficient: 5

Step-by-step explanation:

hope this helps!!!

Answer is your looking for is :
D

Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020

Answers

Answer:

n = 6

Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

CAN SOMEONE PLEASE HELP IM TIMED!! also i need to show my work!

Answers

Answer:

im assuming that we are solving for g. i got 8x^2-10x-3 over x

Step-by-step explanation:

1. gx^2=8x2−10x−3

then u divide both sides by x which gets u gx over x = 8x^2-10x-3 over x

i hope that makes sense and helps!

The value of 23 + 42 = ___.

Answers

Answer:

The answer is 62.

Answer:

The value of 23 + 42 = 65

Step-by-step explanation:

Your answer is 65

help me on this please !

Answers

Answer:

24.08

Step-by-step explanation:

We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2

256 + 324 = x^2

x^2 = 580

x is about 24.08.

Write the trigonometric ratio for cos X as a fraction and as a decimal rounded to the nearest hundredth

Answers

Answer: The correct choice is letter C.

Step-by-step explanation:

Cosine = adjacent/hypotenuse

In this triangle, you are looking for angle degree of cos X.

When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].

The adjacent side from x is 12 and the hypotenuse is 15.

So you form your trig ratio which is your answer.

[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80

Suppose your friends have the following ice cream preferences: 46% of your friends like chocolate (C). The remaining do not like chocolate. 20% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 8% of your friends like Chocolate (C) and also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate

Answers

Answer:

0.4 = 40% of this group likes chocolate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this questions:

Event A: Likes sprinkles

Event B: Likes chocolate.

20% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.2[/tex]

8% of your friends like Chocolate (C) and also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.08[/tex]

Of the friends who like sprinkles, what proportion of this group likes chocolate?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.2} = 0.4[/tex]

0.4 = 40% of this group likes chocolate

You have a collection of 30 coins, all of which are dimes and quarters. The total of your collection is $5.10 how many of each kind of coin do you have

Answers

14 quarters and 16 dimes
I think ?





PLEASE HELP ME I AM FAILING. I WILL GIVE BRAINLIEST. PLEASE!!!!!! I NEED THE ANSWERS!!!

Answers

10
I think that’s it hope that helps
10 is the answer of this following question hope it helps

A rectangle is 2 feet longer than it is wide. If the area is 8 square feet, find its perimeter.
.....Ft

Answers

Answer:

12 feet

Step-by-step explanation:

w = width

w+2 = length

w(w+2) = 8

w² + 2w - 8 = 0

(w+4)(w-2) = 0

w = -4   exclude because a length cannot be negative

w = 2

length = 2+2 or 4

P = 2(2)+2(4)

P = 4+8 or 12

Pls help 10 ptsss
NO LINKS

Answers

Answer:

0,15/ 5,20/ 10,25/ 15,30/ 25,35

Step-by-step explanation:

the additional hours is x and total hours is y.

What is a hand drawn picture or design of a 3D object

Answers

Answer:

hello

Step-by-step explanation:

i think it is modelling

hope it helps

have a nice day

I am pretty sure it's modeling!

i will give Brainiest if you are right

Answers

Answer:

Option D is the correct answer

Hello there!!

The answer would be D. The symbol you see, [tex]\geq[/tex], means 'greater than or equal to'. This correctly fits the wording - Margo must sell AT LEAST 38 tubs. So the lowest number she can sell is 38. And that means the answer is D.

I hope this helps!

ILL GIVE BRAINLEST :)

Answers

Answer:

The correct answer is:

A, B, D,

Step-by-step explanation:

how to become pro in the world

Answers

Answer:

Practice and be cool

Step-by-step explanation:

On what topic u want to be pro practice hard

Answer:

1) learn from your mistakes

2) make a dream and follow it

3) increase IQ

4) increase confidentiality

Find the measure of a 3.
〈〈
4.3
90°
<<
<3 = [?]

Answers

Answer:

Solution given:

<3+90=180°[co interior angle]

<3=180-90

<3=90° is a required answer.

please helppppp. geometry hw !!

Answers

Answer:

2/20

I guess..? it's too obvious

Step-by-step explanation:

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