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3 years ago

The diagram shows a right-angled triangle and a parallelogram.

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

h = 12

Step-by-step explanation:

area of triangle = 16x9x0.5= 72 cm^2

area of parallelogram = 72 x 5 = 360 cm^2

area of parallelogram = base x height(h)

360 = 30h

divide both sides by 30

h = 12

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A teacher surveyed her class about their online accounts

lara [203]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Thinking process:

Let the total set be the combination of all the sets as shown

It means that total items = 7 + 14 + 7 + 2

= 30

But the total number of the subsets = 5 + 7+ 2

= 14

Therefore the probability = $\frac{snap chat}{total }$

= $\frac{7}{14}$

= $\frac{1}{2}$

6 0

3 years ago

QUICK!!!HELP!!!!!!!!!!!!!!!!!!

IgorLugansk [536]

Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:

Z = (X - mu)/sigma

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

mu = 400, sigma = 50

The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:

X = 550:

Z = (X - mu)/sigma

Z = (550 - 400)/50

Z = 3

Z = 3 has a p-value of 0.9987.

X = 500:

Z = (X - mu)/sigma

Z = (500 - 400)/50

Z = 2

Z = 2 has a p-value of 0.9772.

0.9987 - 0.9772 = 0.0215 = 2.15% probability.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

6 0

2 years ago

For the function given below, find a formula for the riemann sum obtained by dividing the interval [a,b] into n equal subinter

Nata [24]

We split [2, 4] into $n$ subintervals of length $\dfrac{4-2}n=\dfrac2n$ ,

$[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]$

so that the right endpoints are given by the sequence

$x_i=2+\dfrac{2i}n=\dfrac{2(n+i)}n$

for $1\le i\le n$ . Then the Riemann sum approximating

$\displaystyle\int_2^42x\,\mathrm dx$

$\displaystyle\sum_{i=1}^nf(x_i)\dfrac{4-2}n=\frac8{n^2}\sum_{i=1}^n(n+i)=\frac8{n^2}\left(n^2+\frac{n(n+1)}2\right)=\frac{12n+4}n$

The integral is given exactly as $n\to\infty$ , for which we get

$\displaystyle\int_2^42x\,\mathrm dx=\lim_{n\to\infty}\frac{12n+4}n=12$

To check: we have

$\displaystyle\int_2^42x\,\mathrm dx=x^2\bigg|_2^4=4^2-2^2=16-4=12$

7 0

3 years ago

Rename 0.3 using other place value patterns.

r-ruslan [8.4K]

You could do three tenths

3 0

4 years ago

Read 2 more answers

Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.

Zolol [24]

Answer:

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

13x + 1196 = 91

- 1196 - 1196

13x = - 1105

÷13 ÷13

x = - 85

BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

7 0

4 years ago