Ask question

Ask question

All categories

3 years ago

13

1. (kerry is going to the ice cream shop wi When she gets there, she sees that the coop of ice cream a person orders, pl sing th

is information

1 answer:

Paul [167]3 years ago

7 0

Answer:

what do u mean sing like can you rewrite what we suppose to look in it.

Step-by-step explanation:

You might be interested in

Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari

Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} , x >0$ where, $\lambda$ = parameter of distribution.

Now, the mean of exponential distribution is = $\frac{1}{\lambda}$ which is given to us as 35 minutes that means $\lambda = \frac{1}{35}$ .

So, X ~ Exp( $\lambda = \frac{1}{35}$ )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

$F(x) = P(X \leq x) = 1 - e^{-\lambda x}$ , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X $\leq$ 37 min)

P(X $\leq$ 37 min) = $1 - e^{-\frac{1}{35} \times 37}$ {Using CDF}

= 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0

3 years ago

How many solutions does 6a- 3a - 6 = 2 + 3 have?

lana [24]

Just one. the solution is 11/3

4 0

3 years ago

In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

$m\angle G+m\angle H+m\angle I=180^\circ$

$30^\circ+29^\circ+m\angle I=180^\circ$

$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

$\dfrac{300}{0.4848}\times 0.8572=i$

$530.44554=i$

$i\approx 530$

Therefore, the length of i is about 530 inches.

6 0

3 years ago

2.) What value for c will make the expression a perfect square trinomial?

andre [41]

Answer : $\frac{49}{4}$

Given expression is $x^2 - 7x + c$

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is $\frac{-7}{2}$

Square of $\frac{-7}{2}$ is $(\frac{-7}{2})^2$ = $\frac{49}{4}$

So the expression becomes $x^2 - 7x + [tex] \frac{49}{4}$ that gives perfect square trinomial

Hence , the value of 'c' is $\frac{49}{4}$

6 0

3 years ago

Read 2 more answers

How should i solve this using an algebraic equation

artcher [175]

House price = down payment + mortgage x number of months

430,000 = 250,000 + 2,000x where x is number of months

To find number or months solve for x
430,000 = 250,000 + 2,000x

Subtract 250,000
180,000 = 2,000x

Divide by 2,000
x = 90 months

12 months in one year
90 = 84 + 6 = 12 x 7 + 6

7 years and 6 months

6 0

3 years ago