Mathematics College

Find the area of the parallelogram
4 cm
7 cm
[?] cm2

Answers

Answer 1

Answer:

28cm^2

Step-by-step explanation:

Area = 4 x 7

=28

hope it helps u

Related Questions

I would really appreciate it if someone could answer this I will give a brainlist:)

Answers

97 I think

Steps:
72^2 + 65^2= c^2
5184 + 4225= c^2
9409= c^2
C= 97

[tex]97.[/tex]

Step-by-step explanation:

By using Pythagoras theorem

AC² = AB² + BC².

Let AB = 72 and BC = 65.

AC² = 72² + 65²

AC² = 5184 + 4225

AC² = 9409.

AC = √9409

AC = 97.

A pair of jeans normally costs £40.
In the sales, there is 25% off.
Work out how much the jeans are in the sales.

Answers

Answer:

£30

Step-by-step explanation:

100% - 25% =75%

75% of £40

=£30

solve r/13.7 = 5 for x

please help asap

Answers

Answer: x=68.5

Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.

The population of a town in North Carolina is modeled by the function f(x) = 10,520(1.041)'. If the initial population (that is, the population when x = O) was
measured January 1, 2012, what was the initial population?

Answers

Answer:

Step-by-step explanation:

This is an exponential growth function of the form

y=ar^x

Where y=final value, a=initial value, r=common ratio, x=term number.

Since a=10,520, that was the initial population in 2012.

How many diagonals does a
rectangle have?

Answers

Well The answer is 2

A rectangle has two pairs of opposite sides that are equal in length and four right angles.

To determine the number of diagonals a rectangle has, we need to consider that a diagonal connects any two non-adjacent vertices of a shape.

In a rectangle, there are four vertices. For each vertex, we can draw a diagonal to any of the other three vertices that are not adjacent. Since there are four vertices in total, we can draw a diagonal from each of the four vertices to three other vertices, resulting in a total of 4 * 3 = 12 diagonals.

However, we must keep in mind that each diagonal is counted twice since it connects two different vertices. Therefore, we need to divide the total count of diagonals by 2, giving us the final answer.

Hence, a rectangle has 12/2 = 6 diagonals.

To know more about rectangle:

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PLEASE HELP 5 POINTS

Answers

Answer:

V = 9 x 3 x 3 = 81 ft³

81 ft³ is the volume.

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?

Answers

Answer:

WOW THAT IS A LOT OF POINTS BRO

Step-by-step explanation:

Answer:

Step-by-step explanation:

8+8+8=24 as multiplecation sentence

Answers

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

What is the GCF of 22 and 32?

Answers

Answer:

The GFC of 22 and 32 is 2

Step-by-step explanation:

Five plumbers charge different hourly
rates: $35, $42, $52, $38, and $42.
Find the mean, median, mode, MAD,
and IQR of these values. Which
measure of center and which measure
of variability best describe the data?

Answers

**The mean is: $41.8**

Explanation: for mean you add all the numbers up and divide it based upon how much numbers there are in total, so for this problem it would be:
$35 + $42 + $52 + $38 + 42 ÷ 5 = 41.8

**The median is: $42**

Explanation: to find the median we arrange the numbers from least to greatest or greatest to least you’ll get the same answer for median.
Original: $*35, $*42, $52, $*38, $*42

Least to greatest: ($35, $38, $42, $42, $52)

Greatest to least: $52, $42, $42, $38, $35)

Then we find the number in the center which is: $42 for the median.

**The mode is: $42**

Explanation: To find the mode we just see what number was repeated the most which in this case is $42

**MAD (Mean Absolute Deviation) is: $4.24**

Explanation to find the MAD we need to first add all the numbers up and divide them by the number of elements there are in the data set in total.
So we do,
$35 + $42 + $52 + $38 + 42 ÷ 5 = 41.8
Just as we did for finding the mean the difference for this though is after we’ve found this number we subtract each number by 41.8
and when we subtract the rule is there is no negative numbers so if any you subtract turn out to be negative you change it to positive so it would be:
$35 - $41.8 = (-6.8) change to + = 6.8
$42 - $41.8 = 0.2
$52 - $41.8 = 10.2
$38 - $41.8 = (-3.8) change to + = 3.8
$42 - $41.8 = 0.2

Then we add all the numbers up we just got and divide it by the number of elements in the date set so we do, $6.8 + $0.2 + $10.2 + $3.8 + $0.2 = 21.2 ÷ 5 = $4.24

**IQR (Interquartile Range) is: $10.5**

Explanation to find the IQR we order the numbers least to greatest or greatest to least it doesn’t matter which order you do it.

Greatest to least: $52, $42, $42, $38, $35

Least to greatest: $35, $38, $42, $42, $52

Q1 is: $36.5
Explanation: we get this by adding:
$35 + $38 ÷ 2 = 36.5

Q2 is: $42
Explanation: it’s right in the center

Q3 is: $47
Explanation: we get this by adding:
$42 + $52 ÷ 2 = $47

In order to find IQR we need to do Q3 - Q1
So, $47 - $36.5 = $10.5

**Measure of the center: (Mean = $41.8, Median = $42, Mode = $42, Range = $17**

Explanation: for range we simply subtract the biggest number from the smallest one which would be $52 - $35 = $17

**Measure of variability: (range = $42, Standard deviation = $2.91, Variance = $8.48)**

Explanation for standard of deviation we first find the mean which is $41.8, then we subtract each number be $41.8 which will give us these numbers which we’ll multiple by 2:
$6.8 x 2 = $13.6
$0.2 x 2 = $0.4
$10.2 x2 = $20.4
$3.8 x 2 = $7.6
$0.2 x 2 = $0.4
Then the numbers you get you add up and divide it by the number of elements in the data, which would be $13.6 + $0.4 + $20.4 + $7.6 + $0.4 = 42.4 ÷ 5 = 8.48
So the variance is: $8.48
Then to find the standard deviation we square root $8.48 which gives us: $2.91

A standard fair dice is rolled twice.
What is the probability of getting an odd number on the first roll and any number except 1 on the other?

Answers

Answer:

5/12

Step-by-step explanation:

Probability = favorable outcomes / total outcomes

P(odd) = 3/6 = 1/2 (there are 3 odd numbers out of 6 on a dice)P(no 1) = 5/6P(odd and no 1) = 1/2*5/6 = 5/12

Answer:

5/12

Step-by-step explanation:

Hope this helps

Find the missing term of the following sequence.
. . .-34,____, 77, . .

Answers

Answer:

It is the square root of two+ the square root of six then divided by 4.

Need help plzzzzz
.
.

.

Answers

Answer: 1

Step-by-step explanation: f(3) would be one because if you look at the table 1 is next to 3. I hope this helps!

Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10 are seniors who play the trumpet.
What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?

Answers

Answer:

Step-by-step explanation:

10/125 * 100% = 8%

A help desk has two employees with one working during the day and one working at night. The number of hours the first employee works (X1) is normally distributed with mean 8.6 and standard deviation 0.1 and the number of hours the second employee works (X2) is normally distributed with mean 8.4 and standard deviation 0.9. Suppose that the amount of time that the employees overlap (X3) is normally distributed with mean 0.2 and standard deviation 0.2. Finally, assume that X1, X2, and X3 are independent. We are interested in the total time that the help desk has an employee present, i.e., Z = X1 + X2 - X3. A) What is the expected value of Z, the total time that the help desk has an employee present? B) What is the variance of Z? C) What is the probability that Z is between 15.9 and 16.1? D) What is the probability that Z is greater than 16?

Answers

Answer:

a) 16.8 hours.

b) 0.86 hours squared.

c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

d) 0.8051 = 80.51% probability that Z is greater than 16

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.

In this question:

X1: Mean 8.6, standard deviation 0.1

X2: Mean 8.4, standard deviation 0.9

X3: Mean 0.2, standard deviation 0.2

Z = X1 + X2 - X3.

Mean:

[tex]\mu = 8.6 + 8.4 - 0.2 = 16.8[/tex]

Variance:

[tex]\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86[/tex]

Standard deviation:

[tex]\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274[/tex]

A) What is the expected value of Z, the total time that the help desk has an employee present?

[tex]\mu = 16.8[/tex]

So 16.8 hours.

B) What is the variance of Z?

[tex]\sigma = 0.86[/tex]

So 0.86 hours squared.

C) What is the probability that Z is between 15.9 and 16.1?

This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So

X = 16.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16.1 - 16.8}{0.9274}[/tex]

[tex]Z = -0.75[/tex]

[tex]Z = -0.75[/tex] has a pvalue of 0.2266

X = 15.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.9 - 16.8}{0.9274}[/tex]

[tex]Z = -0.97[/tex]

[tex]Z = -0.97[/tex] has a pvalue of 0.1660

0.2266 - 0.1660 = 0.0606

0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

D) What is the probability that Z is greater than 16?

This is 1 subtracted by the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 16.8}{0.9274}[/tex]

[tex]Z = -0.86[/tex]

[tex]Z = -0.86[/tex] has a pvalue of 0.1949

1 - 0.1949 = 0.8051

0.8051 = 80.51% probability that Z is greater than 16

Kyle soles 18 of 24 puzzles in a puzzle book. he says that he can use an equivalent fraction to find the percent of puzzles in the book that he solved. how can he do that? what ia the percent?
PLEASE

Answers

Answer:

He solved 75% of the puzzles!

Step-by-step explanation:

Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.

18 3

---- divided by 6 = ----

24 4

Now that we have the fraction 3/4, we can turn that into a percentage!

3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.

An account earns simple annual interest.

$1500 at 4% for 5 years

Answers

Answer:

a) Interest earned = $300

b) balance = $1800

Step-by-step explanation:

a) I = Prt

P = $1500

r = 0.04

t = 5yrs

Substitute

I = ($1500)(0.04)(5)

Multiply

I = $300

b) balance = previous + interest earned

balance = $1500 + $300 = $1800

The account amounts to $1800 at 4% simple interest for 5 years.

What is simple interest?

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, An account earns simple annual interest $1500 at 4% for 5 years.

∴ P = $1500, r = 4%, t = 5 years.

So, SI = (1500×4×5)/100.

SI = 15×20.

SI = $300.

So, The total amount after 5 years at 4% simple interest is $(1500+300).

= $1800.

learn more about simple interests here :

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Brandon notice that he has more credits than Quentin who has 220 burlesque dance Rachel who has 260 .list three possible amount of credits Brandon could have

Answers

Answer:

Step-by-step explanation:

230, 240, or 250 because they are in between the two numbers/credits of the other people

MATH 20 POINTS HELP PLZ :)

Answers

Answer:

the answer is C.

Step-by-step explanation:

If you want to dilate a triangle, does the center of dilation have to be on the triangle? Can it be inside the triangle? Outside the triangle?

Answers

Answer:

No, it can be anywhere on the graph.

Step-by-step explanation:

Answer:

Attached

Step-by-step explanation:

Just a supplement of the above answer

y=|x-3|+|x+2|-|x-5|, if -2 Please do not put links.

Answers

im not sure if u want a graph but if yes there u go

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Find the area of the parallelogram 4 cm 7 cm [?] cm2

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Find the area of the parallelogram
4 cm
7 cm
[?] cm2