The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.

Answer:

3/4

Step-by-step explanation:

2 problems consist 8 choices of answers.

the events for the correct answer are 2

and the events for incorrect answer are 6

so, the probability that she answered neither of the problems correctly = 6/8 = 3/4

Answer: 10.3

Step-by-step explanation:

Answer:

Of your choices, 87.5

Step-by-step explanation:

There may be a formula for figuring this out, but here's what I know how to do to solve this:

First we'll organize the data in ascending order:

3.9, 4.5, 5.7, 6.2, 7.4, 8.1, 8.4, 9.2  

The median is (6.2 + 7.4)/2 = 6.8

The first quartile is (4.5 + 5.7)/2 = 5.1

The third quartile is (8.1 + 8.4)/2 = 8.25

So the 75th percentile is 8.25

Since 9.2 is higher than that, I'd choose 87.5

Mildred's pie scored at the 87.5 percentile.

'A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.'

According to the given problem,

Organizing the data in ascending order:

3.9 < 4.5 < 5.7 < 6.2 < 7.4 < 8.1 < 8.4 < 9.2  

Median of the given data = [tex]\frac{6.2+7.4}{2}[/tex]

                                            = 6.8

First quartile = (4.5 + 5.7)/2

                      = 5.1

Third quartile = (8.1 + 8.4)/2

                       = 8.25

The third quartile is the 75th percentile,

⇒ 75th percentile = 8.25

Since, 9.2 > 8.25 , Mildred's pie scored at 87.5 percentile.

Hence, we can conclude, Mildred's pie scored at the 87.5 percentile.

Learn more about percentile here: https://brainly.com/question/1594020

#SPJ2

Answer:

48

Step-by-step explanation:

I did the work, the answer is 48

The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given question, the following statements and reasons can be matched;

          Statement                                                Reason

1. <1 and <2 are linear pair                               Given

2. <1 and <2 are supplementary                     Linear pair postulate

3. <1 ≅ <2                                                          

4. <1 ≈ <2                                                           Given

5. m<1 = m<2                                                     Substitution POE

6. m<1 + m<2 = [tex]180^{o}[/tex]                                          Def of supplementary angles

7. 2(m<1) = [tex]180^{o}[/tex]                                                  Simplify/ Combine like terms

8. m<1 = [tex]90^{o}[/tex]                                                        Definition of right angle

9. 2(m<2) = [tex]180^{o}[/tex]                                        

10. g ⊥ h                                                             Def of perpendicular lines

Answer:

C

Step-by-step explanation:

f(-2) = 4(-2) + 5

f(-2) = -8 + 5

f(-2) = -3

Answer:

-3

Step-by-step explanation:

f(x) = 4x + 5

Let x = -2

f(-2) = 4(-2) + 5

        =-8+5

           -3

Answer:

35,691

Step-by-step explanation:

First step, look at the diagram and you see that you have a sphere and a cone.

The total surface area of a sphere is

[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]

Since you only have half of a sphere, the surface area is 9,556.5

The surface area of the cone is

[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]

You don't need the bottom of the cone however as it is connected to the half sphere.

So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800

The area of the circle is 4,778

Answer:

Step-by-step explanation:

y = mx + c (slope/intercept form)

c = 0 (this is the y intercept)

The format will be of y = mx

The gradient acts as the slope (m)

'y' acts as the line represented on the graph, or the 'times visited'

'x' is the independent variable, or the 'days for sale'

m = 10/5 = 2 (rise/run on the line shown)

m = 2

y = 2x

40 days > . y = (2 x 40),  y = 80 (number of times the house has been visited)

70 times visited > . 70 = 2x

70 / 2 = 35

x = 35 (days for sale)

Answer:

2.35%

Step-by-step explanation:

Firstly, we calculate the z-score of each

we have this as;

z-score = (x - mean)/SD

from the question, mean is $1,500 while standard deviation is $250

So for each;

z-score = (750-1500)/250 = -750/250 = -3

z-score = (1000-1500)/250 = -500/250 = -2

Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean

We can calculate this by using the empirical rule chart;

By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%

Answer:

10.975+10.975+10.975+10.975

Step-by-step explanation:

Answer:

12 - p

Step-by-step explanation:

12 - p

Answer:

The correct option is D) $1,248.00

Step-by-step explanation:

First calculate $24 at 36 hours

24 * 36 = $864

then

calculate $48 at 8 hours because of double time

48 * 8 = $384

then

add them both up

864 + 384 = $1248

Answer:

Something that's in your budget.

Answer:

60 cups

Step-by-step explanation:

We can use ratios to solve

20 cups            x cups

---------------  = -------------------

4 loaves             12 loaves

20 * 12 = 4 *x

240 = 4x

Divide by 4

240/4 = 4x/4

60 =x

60 cups

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

---------------------------

Answer:

60 bacteria

Step-by-step explanation:

c on edge 2022

Answer:

6.5cm)

Step-by-step explanation:

13.1 cm x 13.1 cm = 171.61

11.4 cm 11.4 cm = 129.96

171.61 - 129.96 = 41.65

Find the square root of 41.65.

41.65 = 6.4536811201050 x 6.4536811201050

Round 6.4536811201050.

x = 6.5cm

Note:

Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!

-kiniwih426

Answer:

the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about

Answer:

x = - [tex]\frac{3}{2}[/tex], x = 3

Step-by-step explanation:

To find the zeros let p(x) = 0 , that is

2x² - 3x - 9 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 9 = - 18 and sum = - 3

The factors are - 6 and + 3

Use these factors to split the x- term

2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)

2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(2x + 3) = 0

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

x - 3 = 0 ⇒ x = 3

Step-by-step explanation:

the (A) formula is preferable to use and is the correct one

Answer:

hello

3x = 1/81

x = 1/ 81*3

x = 1/243

Step-by-step explanation:

Answer:

x=(1/81)/3

x=1/243

Step-by-step explanation:

Answer:

I hope the above attachment helps you mate

Have a great day

[tex]#Liliflim[/tex]

Answer:

Solution given;

a⁴-23a²b²+b⁴

making in the form of a²+2ab+b²

a⁴+2a²b²+b⁴-2a²b²-23a²b²

(a²+b²)²-(5ab)²

factoring by using formula

x²-y²=(x+y)(x-y)

(a²+5ab+b²)(a²-5ab+b²)

Answer:

153.86

Step-by-step explanation:

Formula area circle = πr²

Solve:

Area = 3.14* 7²

Area = 3.14 * 49

Area = 153.86

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.

In mathematical terms,  

X

∼

P

o

i

s

s

o

n

(

2

)

.

The PMF of the random variable X is given as,

P

(

X

=

x

)

=

e

−

2

×

2

x

x

!

f

o

r

x

=

0

,

1

,

2

,

.

.

.

.

.

=

0

E

l

s

e

w

h

e

r

e

The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,

P

(

X

≤

3

)

=

P

(

X

=

0

)

+

P

(

X

=

1

)

+

P

(

X

=

2

)

+

P

(

X

=

3

)

=

e

−

2

×

2

0

0

!

+

e

−

2

×

2

1

1

!

+

e

−

2

×

2

2

2

!

+

e

−

2

×

2

3

3

!

=

0

.13534

+

0

.27067

+

0

.27067

+

0

.18045

=

0

.85712

Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:

Answer:

from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30

14/30

7/15

7/15 as a percent is 46.6667%

Given:

The expression is:

[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]

To find:

The simplified form of the given expression

Solution:

Formula used:

[tex]x^2-y^2=(x-y)(x+y)[/tex]

We have,

[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]

It can be written as:

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4)^2-(a^4)^2}[/tex]

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4-a^4)(b^4+a^4)}[/tex]

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b^2-a^2)(b^2+a^2)}[/tex]

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

Taking LCM, we get

[tex]=\dfrac{1(b-a)(b^2+a^2)+2a(b-a)(b+a)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2a(b^2-a^2)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2ab^2-2a^3+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{b^3+a^2b+ab^2+a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

Using the grouping method factories the numerator.

[tex]=\dfrac{b(b^2+a^2)+a(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{(b+a)(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]

Cancel out the common factors.

[tex]=\dfrac{1}{b-a}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{1}{b-a}[/tex].

Answer:

x=3.75

Step-by-step explanation:

Answer:

You can use 0.60 × 90, 3 × 18 works as well.

Step-by-step explanation:

Hmmm....let's see.

You can use 0.60 × 90, 3 × 18 works as well. The answer is 54.

We know this because when finding a percentage of a number you multiply that decimal by the number. 2nd option as well as last option could work. Hope this helps, please mark brainliest!

the answer is d hopes this helps you