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3 years ago

Use picture attached:

Mathematics

2 answers:

MaRussiya [10]3 years ago

8 0

Answer:

correct answer is option D

Step-by-step explanation:

assume the speed of the unicorn for the first time to cover 50 mile be 'x'

we know,

distance = speed × time

50 = x × time

t₁ = 50 / x...............................(1)

when unicorn travel 300 mile with speed of '3x'

distance = speed × time

300 = 3 x × time

t₂ = 100/ x...............................(2)

dividing equation (2)/(1)

$\dfrac{t_2}{t_1} = \dfrac{100/x}{50/x}$

t₂ = 2 × t₁

hence, the time will be twice the first one.

correct answer is option D

Olenka [21]3 years ago

3 0

I think the answer is C.

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10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time vi

vekshin1

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

<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:

45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.

There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

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

$P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044$

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

8 0

2 years ago

Which statement about the following equation is true?<br>2x2-9x+2-1

Furkat [3]

Complete Question:

Which statement about the following equation is true?

$2x^2-9x+2 = -1$

A) The discriminant is less than 0, so there are two real roots

B) The discriminant is less than 0, so there are two complex roots

C) The discriminant is greater than 0, so there are two real roots

D) The discriminant is greater than 0, so there are two complex roots

Answer:

C) The discriminant is greater than 0, so there are two real roots

Step-by-step explanation:

The given equation is $2x^2-9x+2 = -1$ which by simplification becomes

$2x^2 - 9x + 3 = 0$

For a quadratic equation of the form $ax^2 + bx + c = 0$ , the discriminant is given by the equation, $D = b^2 - 4ac$

If the discriminant D is greater than 0, the roots are real and different

If the discriminant D is equal to 0, the roots are real and equal

If the discriminant D is less than 0, the roots are imaginary

For the quadratic equation under consideration, a = 2, b = -9, c = 3

Let us calculate the discriminant D

D = (-9)² - 4(2)(3)

D = 81 - 24

D = 57

Since the Discriminant D is greater than 0, the roots are real and different.

3 0

3 years ago

The perimeter of a regular 4-sided polygon (square) is 48 units and the length of each side is x +1 units. What is the value of

iren [92.7K]

Answer:

x=11

Step-by-step explanation:

48-4=44

44/4=11

x=11

11+1=12

12•4= 48

6 0

2 years ago

Read 2 more answers

Theequationforlinegcanbewrittenas y = –9 4 x − 1 . Line h , whichisperpendiculartoline g , includesthepoint (10, 4) . What isthe

KATRIN_1 [288]

Answer:

y-4 = 4/9(x-10)

Step-by-step explanation:

Given the equation of the line g to be y = -9/4 x - 1.

To find the equation of a line h perpendicular to this line, the following steps must be taken;

First find the slope of the known line g

The standard equation of a line is y = mx+c where

m is the slope

c is the intercept

Comparing this equation with the given equation y = -9/4 x -1, it can be seen that the slope of the line g is -9/4

Next is to find the slope of the line h

Since the line g is perpendicular to h, then the product of their slope will be -1 i.e mh*mg = -1

mh = -1.mg

mh = -1/(-9/4)

mh = -1*-4/9

mh = 4/9

Hence the slope of the line h is 4/9

Find the intercept of line h

To get this, you will substitute the slope m and the point into the equation y = mx+c

m = 4/9

(x,y) = (10,4)

4 = 4/9(10) + c

4 = 40/9 + c

c = 4-40/9

c = (36-40)/9

c = -4/9

Hence the intercept of the line h is -4/9

Finally, find the equation of the line h in slope-intercept form

The slope-intercept form of a line is expressed as y = mx+c

y-y0 = m(x-x0)

Given

m = -4/9

x0 = 10

y0 = 4

Substitute:

y-4 = 4/9(x-10)

Hence the equation in slope-intercept form is y-4 = 4/9(x-10)

7 0

3 years ago

Matthew earned $75 in interest on

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The formula for simple interest is

I = Prt,

where I is the interest earned,

P is the initial investment amount,

r is the interest rate in decimal form, and

t is the time in years. For us,

I = 75,

P = ?

r = .05

t = 1

Filling in what we were given:

75 = P(.05)(1) and

.05P = 75 so

P = 1500

8 0

3 years ago