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3 years ago

Please help will mark Brainly

Mathematics

1 answer:

iris [78.8K]3 years ago

8 0

The answer is D. For every week, she is giving away 10 pencils which means Mrs. Doyal is removing pencils from the 150 pencils she already has by “-10x”. Hope this helps c:

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Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

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:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

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

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0

2 years ago

Write the linear equation in slope intercept form 1,3 and -3,-5

oksian1 [2.3K]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes:

$(x_ {1}, y_ {1}) :( 1,3)\\(x_ {2}, y_ {2}): (- 3, -5)$

We found the slope:

$m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Substituting we have:

$m = \frac {-5-3} {- 3-1} = \frac {-8} {- 4} = 2$

Thus, the equation is of the form:

$y = 2x + b$

We substitute one of the points and find the cut-off point:

$3 = 2 (1) + b\\3 = 2 + b\\3-2 = b\\b = 1$

Finally, the equation is:

$y = 2x + 1$

ANswer:

$y = 2x + 1$

3 0

3 years ago

PLEASE ANSWER ASAP *picture attached*<br>f(x) = x2 + 1 g(x) = 5 – x

Eva8 [605]

Answer:

$x^{2} +x-4$

Step-by-step explanation:

To get the answer just subtract f(x) by g(x)

The work is shown below:

$(f-g)(x)= f(x)-g(x)\\\\(f-g)(x)= (x^{2} +1)-(5-x)\\\\(f-g)(x)= x^{2} +1-5+x\\\\(f-g)(x)= x^{2} -4+x\\\\(f-g)(x)= x^{2} +x-4\\\\$

7 0

2 years ago

b) The volume of a cuboid is 200 m². Its length and height are 10 m and 5 m respectively. Need it fast

Ratling [72]

Bad question. Volume is cubic units, not square units.

6 0

3 years ago

The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of

MakcuM [25]

Answer:

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Step-by-step explanation:

Given that :

Mean = 265

standard deviation = 14

The formula for calculating the z score is $z = \dfrac{x -\mu}{\sigma}$

x = μ + σz

At middle of 50% i.e 0.50

The critical value for $z_{\alpha/2} = z_{0.50/2}$

From standard normal table

$z_{0.25}=$ + 0.67 or -0.67

So; when z = -0.67

x = μ + σz

x = 265 + 14(-0.67)

x = 265 -9.38

x = 255.62

when z = +0.67

x = μ + σz

x = 265 + 14 (0.67)

x = 265 + 9.38

x = 274.38

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

3 0

3 years ago