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3 years ago

How do you do this? its a 5 mark question

Mathematics

2 answers:

LuckyWell [14K]3 years ago

3 0

You multiply both the sides and the top and add them

lakkis [162]3 years ago

3 0

Answer:

336

Step-by-step explanation:

12*28

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Stress at work: In a poll conducted by the General Social Survey, 80% of respondents said that their jobs were sometimes or alwa

Svet_ta [14]

Answer:

a) P=0.019

b) P=0.263

c) P=0.794

Step-by-step explanation:

We assume that the poll gives the population's proportion of respondents said that their jobs were sometimes or always stressful (p=0.8).

Then, a sample of size n=190 is taken.

The sample mean is:

$\mu=np=190*0.8=152$

The sample standard deviation is:

$\sigma=\sqrt{np(1-p)}=\sqrt{190*0.8*0.2}=\sqrt{30.4}=5.514$

The probability that 140 or fewer workers find their jobs stressful is:

$z=(X-\mu)/\sigma=(140.5-152)/5.514=-11.5/5.514=-2.08 \\\\P(X\leq140)=P(X$

Note: a correction for continuity is applied.

The probability that more than 155 workers find their jobs stressful is

$z=(X-\mu)/\sigma=(155.5-152)/5.514=3.5/5.514= 0.635 \\\\P(X>155)=P(X>155.5)=P(z>0.635)=0.263$

The probability that the number of workers who find their jobs stressful is between 145 and 158 inclusive is:

$z_1=(X_1-\mu)/\sigma=(158.5-152)/5.514=6.5/5.514= 1.179\\\\ z_2=(X_2-\mu)/\sigma=(144.5-152)/5.514=-7.5/5.514= -1.360 \\\\ P(145\leq X\leq 158)=P(144.5< X< 158.5)\\\\P(145\leq X\leq 158)=P(X$

5 0

3 years ago

Read 2 more answers

B is the midpoint of AC; AB = 8v, and BC= 2v + 42. What is BC?

Kaylis [27]

Answer:

Step-by-step explanation:

8 0

3 years ago

Please help asap! i need to find the missing coordinate

Harrizon [31]

Answer:

8 or 32

Step-by-step explanation:

So we are given two coordinates and the length of the segment formed by those coordinates.

To find the unknown coordinate, we can use the distance formula. Let the unknown value be n:

Let's let (-2,n) be x₁ and y₁ and let (-7,20) be x₂ and y₂.

The distance formula is given by the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute (-2,n) for x₁ and y₁ and (-7,20) for x₂ and y₂. Also, since we already know that the length is 13, substitute it for d. Thus:

$(13)=\sqrt{((-7)-(-2))^2+((20)-(n))^2}$

Do the operations within the parentheses:

$13=\sqrt{(-7+2)^2+(20-n)^2}\\13=\sqrt{(-5)^2+(20-n)^2}$

Now, square both sides to take out the square root:

$(13)^2=(\sqrt{(-5)^2+(20-n)^2})^2$

Simplify:

$169=(-5)^2+(20-n)^2$

Square (-5):

$169=25+(20-n)^2$

Subtract 25 from both sides. The right cancels:

$(169)-25=(25+(20-n)^2)-25\\144=(20-n)^2$

Now, take the square root of both sides.

$\pm\sqrt{144}=\sqrt{(20-n)^2}$

Simplify:

$\pm12=(20-n)$

So, we have two solutions:

$(12=20-n)\text { or }(-12=20-n)$

On the left, subtract 20. On the right, also subtract 20:

$(-8=-n)\text { or }(-32=-n)$

Divide both sides by -1:

$(n=8)\text{ or } (n=32)$

So, our two possible answers are 8 or 32.

5 0

3 years ago

Is 3 squared • 4 squares = 12? Evaluate each side of the equation

Paladinen [302]

No because 4 square equals 2 square and since 3 isn't a perfect number, it would be 2 square times 3 square, which equals 6 square.

8 0

3 years ago

Read 2 more answers

What is the surface area of a cylinder with a radius of 5<br> ft and a height of 2 ft?<br> THESE

nekit [7.7K]

Surface area of a cylinder

The surface area of the cylinder is 219.8 square ft

Step-by-step explanation:

The surface area of a cylinder is defined as the sum of the curved surface are and twice the area of the flat surface

SA = 2πrh + 2πr²

Given Height h = 2 ft

Given Base radius r = 5 ft

Curved Area = 2πrh = 2 × 3.14 × 5 × 2 = 62.8 sq ft

Total Surface Area (SA)= 2πrh + 2πr²

SA = 2 ×3.14 × 5 × 2 + 2 × 3.14 × 5 × 5

SA = 62.8 + 157

SA = 219.8 square ft

Hence the surface area of the cylinder is 219.8 square ft

4 0

4 years ago

Read 2 more answers

How do you do this? its a 5 mark question​

How do you do this? its a 5 mark question