All categories

3 years ago

Someone please help and give the work?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

The bottom shape can be multiplied just like a normal rectangle because the part cut off without measurements fits into the part with measurements. area is length x width so
23 x 38 = 874cm squares.
The top is the same so
48 x 70 = 3360 like you already had.
The total shape’s area is the two shapes added together which is
874 + 3360 = 4234
The final answer is 4234cm squared

You might be interested in

Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.

melamori03 [73]

Answer:

a) 0.8413

b) 421

c) $P_{95} = 189.675$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(IQ scores at most 180)

P(x < 180)

$P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)$

Calculation the value from standard normal z table, we have,

$P(x < 180) = 0.8413 = 84.13\%$

b) Number of the members of the club have IQ scores at most 180

n = 500

$\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421$

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

$P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95$

Calculation the value from standard normal z table, we have,

$P(z < 1.645) = 0.95$

$\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675$

$P_{95} = 189.675$

8 0

3 years ago

On a certain hot summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 fo

spin [16.1K]

Answer:

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

4 0

3 years ago

Find the value of the expression if x=-7

LUCKY_DIMON [66]

Answer: -16

Step-by-step explanation:

49 would be the result of -7 squared. Due to the fact it is negative, it would cancel out to be positive.

For the numerator, 49-1 is equivalent to 48.

48/x+4

-7+4 = -3

48/-3

= -16

5 0

3 years ago

Find the circumference of a circle with radius, r = 19.5m.<br>Give your answer in terms of π.

Gwar [14]

Answer:

C = 39 pi meters

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi * r

C = 2 * pi * 19.5

C = 39 pi meters

4 0

3 years ago

The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive

sergejj [24]

Answer:

Step-by-step explanation:

Using the formula

p +/- z* √(p(1-p) / n)

Where p is sample proportion = 3226/3957 = 0.8153, n = 3957 and z* is 2.576

0.8153 + (2.576 √(0.8153(1-0.8153) / 3957))

0.8153 + (2.576 √ (0.8153(0.1847) /3957)

0.8513 + (2.576 √(0.1572/3957)

0.8513 + (2.576 √0.00003974)

0.8513 + 2.576(0.0063)

0.8513 + 0.016

0.8670 ~ 87%

For the lower interview

0.8513 - 0.016

= 0.8353 ~ 84%

Thus, at 99% confidence interval is 84% and 87%

7 0

3 years ago