52 + 6 × (5 − 3) − 10⁄2 =??

Answer:

20 over 36

You cant put into mixed fraction

Answer: 2 2/9

Step-by-step explanation:

5/9 * 4 = 20/9 = 2 2/9

Answer:

cos theta = 5/13

Step-by-step explanation:

sin theta = opp side / hypotenuse

opp side = 12   and hypotenuse = 13

Using the pythgorean theorem

opp ^2 + adj ^2 = hypotenuse ^2

12 ^2 + adj^2 = 13^2

144 + adj ^2 = 169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = 5

cos theta = adj / hypotenuse

cos theta = 5/13

The ordinary whole life will mature after 57 years. Then the annual premium (AP) and the semiannual premium will be $ 438.60 and $219.30.

A whole life insurance policy in which the premiums are paid for the duration of the insured's life. The contract somehow doesn't mature until the designated insured achieves the age of 100 or dies, whatever comes first.

Richard Henry takes out $25,000 of his ordinary whole life when he is forty-three years old.

The ordinary whole life will mature after 57 years.

Then the annual premium (AP) will be

[tex]\rm AP = \dfrac{\$ 2 5000}{57}\\\\AP =\$ 438.60[/tex]

Then the semiannual premium (SAP) will be

[tex]\rm SAP = \dfrac{\$ 2 5000}{57 \times 2}\\\\SAP =\$ 219.30[/tex]

More about the ordinary whole life link is given below.

https://brainly.com/question/8283523

#SPJ1

Answer:

mean = 33

Step-by-step explanation:

29 = mean - 2sd => 2sd = mean - 29

37 = mean + 2sd

37 = mean + mean - 29

mean = 66/2 = 33

Step-by-step explanation:

you understand how a venn diagram works ?

you have to put elements or the amount of elements into the different segments. there are segments that belong to only one category, segments with elements that are shared between 2 neighboring categories, and in this case 1 segment in the middle that has all elements shared between all 3 categories.

so, we know, the total of all elements (fans) is 36.

now imagine we place every fan exactly into the segment, where his or her allegiance lies.

the easiest way to start is with the center. there are 5 fans there, so write 5 in there.

these 5 people are therefore also part of the total number of Wild fans, of the Viking fans and the Twins fans, and of all the shared segments, of course.

so, we have only 7-5 = 2 shared Wild and Vikings only fans (in the segment above the center segment). they are not fans of the Twins.

we have 9-5 = 4 shared Wild and Twins only fans (in the segment left below the center). they are not fans of the Vikings.

we have 11-5 = 6 shared Vikings and Twins only fans (in the segment right below the center). they are not Wild fans.

what is left for the pure, single team fans ?

the Wild have 12-5-2-4 = 1 pure fan.

the Vikings have 16-5-2-6 = 3 pure fans.

the Twins have 22-5-4-6 = 7 pure fans.

so, we have 1+3+7 = 11 pure fans, 2+4+6 = 12 double team fans, and 5 all 3 teams fans. but that is only 28 fans altogether.

so, something is not right with the data here.

I assume we have 28 total from now on.

for Viking AND Wild fans we have the 2 fans that only like these 2 teams plus the 5 that like all 3 teams (including the Vikings and the Wild) = 7 out of the total of 28 fans.

the probability to pick one of them is then

7/28 = 1/4 =0.25

if the total of 36 questioned fans is still there and explained maybe outside of the given venn diagram (e.g. were asked but are fans of a totally different team or of no team at all), then the probability would be

7/36 = 0.194444444...

Answer:See below and attached

Step-by-step explanation:

Given numbers

4.2×10^-6, 2.1×10^-3, 3.1×10^-2, 3.2×10^-5, 3.5×10^-4, 5.8×10^-3, 5.2×10^-4

Greater than 3.1×10^-3

3.1×10^-2, 5.8×10^-3

Between 3.1 × 10^-3  and 4.3 × 10^-5

2.1×10 ^-3, 3.5×10^-4, 5.2×10^-4

Less than 4.3 × 10^-5

4.2×10^-6, 3.2×10^-5

Step-by-step explanation

:

The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

As we know, the sample size can be evaluated using the expression:

[tex]\rm ME = Z_c\sqrt{\dfrac{pq}{n}}[/tex]

or

[tex]\rm n = \dfrac{Z^2}{ME^2}(pq)[/tex]

Here ME = 1% = 0.01

p = 0.5, q = 0.5

Z at α 0.05   (because 95% confident)

= 1.960  

[tex]\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)[/tex]

n = 9604

Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

Answer:

Tan60°-tan30°1+tan30°tan60° = 2.155

Step-by-step explanation:

tan(60° (degrees)) - tan(30° (degrees))×1 + tan(30° (degrees)) tan(60° (degrees)) = 2.155

Answer:

the answer is ice cream parlor and town hall

Step-by-step explanation:

because if you for 3 times right and 3 times up from ice cream parlor it will land to town hall

The probability of you running into a Mankey Pokemon and then a Pidgey Pokemonis 4/27.

Answer:

there is a 3 in 9 percent chance you can find a manky

Step-by-step explanation:

i say pidgey is better pedgiot is cool and very usefull and pidgey can help you in the vridian foreast becasue of all the bug types

Answer:

1/3 of a chance

Step-by-step explanation:

3 red,           3 blue,       3 green

that all adds to 9 marbles and there are 3 out of 9 marbles that are green.

the probability is 3/9 or 1/3

Answer:

x= -7

Step-by-step explanation:

[tex]~~~~~~2(3x+4) = 7x-2x+1\\\\\implies 6x +8 = 5x+1\\\\\implies 6x -5x = 1-8\\\\\implies x = -7[/tex]

Answer:

See below

Step-by-step explanation:

The first one 'cubes' the denominator AND the numerator:

(-2/5)^3  = -2/5  * -2/5  * -2/5 =  -8/125

The second one 'cubes' only the denominator:

-2/5^3  = -2 / (5 * 5 * 5) =  - 2 / 125

Answer:

[tex]volume=2304\pi[/tex] [tex]mm^3[/tex]

[tex]volume = 7234.56[/tex] [tex]mm^3[/tex]

Step-by-step explanation:

Radius , r = 12mm

[tex]Volume=\frac{4}{3}\pi r^3=\frac{4}{3}\pi (12^3)[/tex]

                     [tex]=\frac{4}{3} \pi*1728[/tex]

                     [tex]=4\pi *576[/tex]

                     [tex]=2304\pi[/tex] [tex]mm^3[/tex]

                     [tex]or[/tex]

                     [tex]=7234.56[/tex] [tex]mm^3[/tex]

Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

[tex]\frac{1}{3}[/tex]*3*x =  [tex]\frac{1}{3}[/tex]*[tex]\frac{9}{4}[/tex]  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = [tex]\frac{3}{4}[/tex]

Answer:

[tex]\huge\boxed{\bf\:x = \frac{3}{4}}[/tex]

Step-by-step explanation:

[tex]5x - 2(x+1)=\frac{1}{4}[/tex]

Use the distributive property for 2(x + 1).

[tex]5x - 2x - 2= \frac{1}{4}[/tex]

Subtract 2x from 5x.

[tex]3x - 2= \frac{1}{4}[/tex]

Bring 2 to the right hand side of the equation .

[tex]3x = \frac{1}{4} + 2[/tex]

Add 1/4 & 2.

[tex]3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}[/tex]

Now, bring 3 to the right hand side of the equation .

[tex]x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}[/tex]  

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The product of the expression (-5)*(-5)*(-5)*(-5)*y*y*y*y is [tex](-5y)^{4}[/tex]

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Given  expression :

(-5)*(-5)*(-5)*(-5)*y*y*y*y

= [tex](-5)^{4} *y^{4}[/tex]

= [tex](-5y)^{4}[/tex]

Hence, (-5)*(-5)*(-5)*(-5)*y*y*y*y = [tex](-5y)^{4}[/tex]

Learn about algebra here:

brainly.com/question/953809

#SPJ1

Step-by-step explanation:

12x7 + 2x7 = 84 + 14 = 98

sa=98

For the  image, its surface area  is mathematically given as

x= 98cm^2

The surface area of a three-dimensional object is the amount of space that covers the exterior of the object.

In conclusion, calculating the individual surfaces we have

x=12x7 + 2x7 = 84 + 14

x= 98cm^2

Read more about  surface area

https://brainly.com/question/2835293

#SPJ2

Answer:

77.4 is the circumference of the circle

Step-by-step explanation:

8.8 squared (8.8 times 8.8) gives you 77.44, but rounded to the nearest tenth, it is 77.4

Answer:

[tex]\csc \left(\dfrac{4\pi}{3}\right)=-\dfrac{2}{\sqrt{3}}[/tex]

Step-by-step explanation:

[tex]\phi=\dfrac{4 \pi}{3}[/tex]

Therefore, this angle lies in quadrant III since it is between π and 3π/2

It's reference angle is:

[tex]\dfrac{4 \pi}{3}-\pi=\dfrac{\pi}{3}[/tex]

and so lies in quadrant I

[tex]\csc (\phi)=\dfrac{1}{\sin(\phi)}[/tex]

For sine, quadrant I and II are positive and quadrant III and IV are negative.

Therefore, as  [tex]\sin \dfrac{\pi}{3}=\dfrac{\sqrt{3}}{2}[/tex]  then [tex]\sin \dfrac{4\pi}{3}=-\dfrac{\sqrt{3}}{2}[/tex]

Finally,

[tex]\csc \left(\dfrac{4\pi}{3}\right)=\dfrac{1}{\sin\left(\dfrac{4\pi}{3}\right)}[/tex]

[tex]\implies \csc \left(\dfrac{4\pi}{3}\right)=\dfrac{1}{-\dfrac{\sqrt{3}}{2}}[/tex]

[tex]\implies \csc \left(\dfrac{4\pi}{3}\right)=-\dfrac{2}{\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow csc\dfrac{4\pi}{3}[/tex]

[tex]\\ \rm\Rrightarrow csc\left(\pi +\dfrac{\pi}{3}\right)[/tex]

Now for value

[tex]\\ \rm\Rrightarrow csc\left(\pi+\dfrac{\pi}{3}\right)[/tex]

As it lies in Q3 it's negative

[tex]\\ \rm\Rrightarrow csc\left(-\dfrac{\pi}{3}\right)[/tex]

[tex]\\ \rm\Rrightarrow -csc\dfrac{\pi}{3}[/tex]

[tex]\\ \rm\Rrightarrow -\dfrac{2}{\sqrt{3}}[/tex]

Answer:

25.44

Step-by-step explanation:

Each meal cost $12.00 and there are two people sharing the bill (Annie and Sarah)

     ⇒ Therefore, we can add the two meals together to get 24 ( 12+12)

Now, we can multiply 24 by 0.06

  ⇒ which gives us 1.44

Add 24 and 1.44 together

  ⇒ and that is how we get 25.44

Answer:

Mean=8.8, Median=8

Step-by-step explanation:

How to find the mean:

First, add all the #'s up. 4+9+12+14+7+7=53

Then divide that by the number or numbers. In this case it is 6.

53/6=8.833... So rounded=8.8

Median:

List numbers lowest to highest

4, 7, 7, 9, 12, 14

Go to the middle number.

Since it is between 7 and 9, it is 7+9=16. 16/2=8

8 is the median

[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]

-1

Step-by-step explanation:

[tex] \sf \sqrt{7 - 3z} = 3 + cz \\ \\ \sf z = 2 [/tex]

We will just substitute the value of z in the equation

[tex] \sf \implies \sqrt{7 - 3(2)} = 3 + c(2) \\ \\ \sf \implies \sqrt{7 - 6} = 3 + 2c \\ \\ \sf \implies \sqrt{1} = 3 + 2c \\ \\ \sf \implies 1 = 3 + 2c \\ \\ \sf \implies 1 - 3 = 2c \\ \\ \sf \implies - 2 = 2c \\ \\ \sf \implies \frac{ - 2}{2} = c \\ \\ \sf \implies \large \red{ \mathfrak{ - 1 = c}}[/tex]

Answer:

A

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

graph A shows a system intersecting at 1 point , then this system has only 1 solution

graph B shows a system of parallel lines with no points of intersection, then this system has no solution

graph C shows a system with overlapping lines, then this system has an infinite number of solutions

Answer:

(i) 145

(ii) 300

Step-by-step explanation:

Given:

total students ... 500

like bananas ... 280

like apples ... 310

dislike fruits ... 55

(i) Find the number of students who like both fruits.

To find the number of students who like both fruits we first add students who like bananas and apples and then subtract students who like at least one fruit.

Students who like at least one of the fruits:

like fruit = total - dislike fruits

like fruit = 500 - 55 = 445

Students who like both fruits:

like both = (like bananas + like apples) - like fruit

like both = (280 + 310) - 445

like both = 145

(ii) Find the number of students who like only one fruit.

To find this we have to find how many students like ONLY bananas and ONLY apples.

like one fruit = like only apples + like only bananas

To find students who like only apples and like only bananas we subtract students who like both (calculated in (i)).

like only apples = like apples - like both = 310 - 145 = 165

like only bananas = like bananas - like both = 280 - 145 = 135

Therefore,

like one fruit = like only apples + like only bananas

like one fruit = 165 + 135

like one fruit = 300

(iii) Show the result in a Venn-diagram.

See attached picture.

sorry I dont know so I need to give you a answer oh wait this is my answer

Answer:

[tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex]

Step-by-step explanation:

If you want to make ordering these three numbers to be easier, it's best to find their exact or approximate values. [tex]\sqrt[3]{27}[/tex] is equivalent to 3, and [tex]\sqrt{7}[/tex] is less than [tex]\sqrt{9}[/tex] - which is 3 - so you know that [tex]\sqrt[3]{27}[/tex] is going to be the greatest number out of the set. Since [tex]\sqrt{7}[/tex] is approximately equal to 2.65, and [tex]2\frac{1}{3}[/tex] is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be [tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex].

Answer:

c = 10 - 11(0.65)

Step-by-step explanation:

The equation is :

Change will be :

Let's find

Answer: Trust me if ur using acellus, the answer is 10

Step-by-step explanation: trust me, thank me later

William can run 10 laps in one hour with 4/15 same pace.

We have,

William ran 2 2/3 laps around a track in of an hour.

William keeps the 4/15 same pace.

So, William runs

= 2 2/3 ÷ (4/15)

= (8/3)÷ (4/15)

= 8/3 x 15/4

= 2 x 5

= 10 laps.

Thus, William runs 10 laps.

Learn more about Unitary Method here:

https://brainly.com/question/28276953

#SPJ2