Prove csc(x)cos(^2)(x)+sin(x)=csc(x)

A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle

tatuchka [14]

Answer:

36

Step-by-step explanation:

To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.

6 0

3 years ago

Ohhhhhh!!! I have a math problem I also have a Brainliest

Step2247 [10]

For 6 plug in each of the answers for x and see if the product =3.2
Answer for 6: A
For 7 you turn the percentage into a decimal and multiply that by the number in which you know and you find the answer.
Answer for 7: D

4 0

3 years ago

Read 2 more answers

An insurance company has 25,000 automobile policy holders. If the yearly claim of a policy holder is a random variable with mean

telo118 [61]

Answer:

$P(T>8300000)=1-P(T$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Data given

n = 25000 represent the automobile policy holders

$\mu= 320$ represent the population mean

$\sigma =540$ represent the population standard deviation

Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:

$X\sim N(\mu = 540, \sigma=540)$

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Solution to the problem

First we need to find the distribution for the random variable T like this:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

And the total T is given by:

$T=\sum_{i=1}^n X_i =n \bar X$

We can find the expected value, variance and deviation for this random variable like this:

$E(T)= n E(\bar X) = n \mu = 25000*320=8000000$

$Var(T)= Var(n\bar X)= n^2 Var(\bar X) = n^2 \frac{\sigma^2}{n}=n \sigma^2 =25000*(540^2)=7290000000$

$Sd(T)=\sqrt{7290000000}=85381.497$

And we are interested on this probability:

$P(T>8300000)$

And we can use the Z score formula given by:

$Z=\frac{T-E(T)}{\sigma_T}$

$P(T>8300000)=1-P(T$

6 0

3 years ago

andres has 4 bunches of balloons. there are 6 balloons in each bunchs how many balloons does andres have in all

Whitepunk [10]

$\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}$

1 bunch of balloons contain 6 balloons

$\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}$

Number of balloons in 4 bunches = ?

$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Solution :-}}}}}}$

To find the number of balloons in 4 bunches we need to multiply the bumber of balloons in 1 bunch by the number of bunches.

$\tt\multimap \: number \: of \: balloons \: in \: 1 \: bunch \times number \: of \: bunches$

$\sf \nrightarrow \: 6 \times 4 = 24$

➪ Thus, There are 24 balloons in 4 bunches...~

8 0

2 years ago

Read 2 more answers

a manufacturer sells an article to a wholeseller at a profit of 18%,the wholesaler sells it to a retailer at a profit of 20%.the

Alex17521 [72]

Answer:

the cost price of manufacturer = RS. 14.80

Step-by-step explanation:

the retailers profit = profit percent of sold amount

= 25% of 30.09

= 25/100 × 30.09

= 7.5225

here, the cost price of retailer =

sold amount- profit amount

or, CP = 30.09 - 7.5225

= 22.5675

now, profit of whole seller =

profit% of sold amount

or, 20% of SP

20/100 × 22.5675

= 4.5135

CP = SP - Profit

or, CP = 22.5675- 4.5135

CP = 18.054

now, profit of manufacturer = profit℅ of SP

= 18% of 18.054

= 18/100 × 18.054

= 3.24972

or, CP of manufacturer = SP - profit amount

= 18.054 - 3.24974

= 14.80428

Therefore, cost price of manufacturer = 14.80

5 0

2 years ago