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3 years ago

Help me out please please an thank you

Mathematics

2 answers:

guapka [62]3 years ago

8 0

Answer:

58⁰

Step-by-step explanation:

So its given that angle BAD and angle DAC are equal

BAD+DAC=CAB

29+29= 58⁰

Katena32 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

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A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.

CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

Substitute p = - 6 into (1)

3(- 6) + q = - 3

- 18 + q = - 3 ( add 18 to both sides )

q = 15

5 0

3 years ago

Colin ties 5 groups of balloons to the fence. There are 3 orange balloons

maxonik [38]

Answer:

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4 0

3 years ago

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Which of the following coordinate points have a y-value of 1? Select all that apply.

Nimfa-mama [501]

Answer:

B is the right answer,...B) (6, 1)

Step-by-step explanation:

no steps just a pencil,paper,caculator,white board, and dry erase marker to help u solve this

8 0

3 years ago

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1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n

Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

70% of fatalities involve an intoxicated driver, hence $p = 0.7$ .

A sample of 15 fatalities is taken, hence $n = 15$ .

The probability is:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

Hence

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061$

$P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186$

$P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700$

$P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916$

$P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305$

$P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047$

Then:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215$

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0

3 years ago

377. Dawn wants to compare the volume of a basketball with the

olchik [2.2K]

Answer:

$V = \frac{4}{3} \pi R^{3}$ and

$v = \frac{4}{3} \pi r^{3}$

Step-by-step explanation:

Dawn wants to compare the volume of a basketball with the volume of a tennis ball.

Now, if the radius of the basketball is R and that of the tennis ball is r, then the formula that can be used to determine the volume of each ball will be

$V = \frac{4}{3} \pi R^{3}$ and

$v = \frac{4}{3} \pi r^{3}$

Now, dividing V by v we can compare the volume of the basketball and the tennis ball. (Answer)

3 0

4 years ago