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3 years ago

Help please asap!! will mark brainliest!!!!! its timed

Mathematics

2 answers:

sammy [17]3 years ago

6 0

Answer:

m∠ABD = 140° and m∠DBC = 40°

Step-by-step explanation:

∵ ABC is a straight angle

∴ m∠ABD + m∠DBC = 180°

∴ 15x - 4 + 5x - 8 = 180

∴ 20x - 12 = 180

∴ 20x = 180 + 12

∴ 20x = 192

∴ x = 192/20 = 9.6

∴ m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

∴ m∠DBC = 180 - 140 = 40° ( 5(9.6) - 8 = 48 - 8 = 40°)

Kay [80]3 years ago

4 0

Answer:

<ABD = 140°

<DBC = 40°

Step-by-step explanation:

<ABD + <DBC = 180°

15x - 4 + 5x - 8 = 180

20x - 12 = 180

20x = 192

x = 9.6

<ABD = 15(9.6) - 4 = 140°

<DBC = 5(9.6) - 8 = 40°

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2000 people are selected randomly from a certain population and it is found that 389 people in the sample are over 6 feet tall.

Airida [17]

Answer: 0.195

Step-by-step explanation:

given data:

population = 2000 people.

people Who are over 6 feet tall = 389.

Solution:

the point estimate of people over 6feet tall

= no of people over 6 feet tall / total population size

= 389/2000

= 0.195

the point estimate of people over 6 feet tall is 0.195

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3 years ago

What makes a function

Bas_tet [7]

A function is a expression that defines a relationship between one variable and another variable

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3 years ago

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A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

<u>For the first parenthesis:</u>

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

<u>For the second parenthesis:</u>

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

134 A financial analyst believes that if interest rates decrease in a given period then the

lawyer [7]

The probability that the market will go up and interest rate will go down during the period in question is 0.03.

<h3>What is the probability?</h3>

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the market will go up and interest rate will go down = 0.08 X 0.40 = 0.03

To learn more about probability, please check: brainly.com/question/13234031

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2 years ago

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Mandarinka [93]

Answer:

Step-by-step explanation:

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