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3 years ago

PLEASE SOMEONE HELPP PLEASE PLEASE HELP

Mathematics

1 answer:

BartSMP [9]3 years ago

3 0

Answer:

The addition rule for probabilities describes two formulas, one for the probability for either of two mutually exclusive events happening and the other for the probability of two non-mutually exclusive events happening.

The first formula is just the sum of the probabilities of the two events. The second formula is the sum of the probabilities of the two events minus the probability that both will occur.

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The jobless rate for Italy in January 2015 was 13.4%. In a random sample of 50 employable adults in one city, 8 were unemployed

BabaBlast [244]

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4 0

3 years ago

please help me with my question due tomorrow morning I will like and mark as brainliest for the first correct answer please

galina1969 [7]

Answer:

p = (2k + 1)i + j

q = 25i + (k + 4)j

p . q = 11

Find the dot product of p and q

(2k + 1)(25) + (k + 4) = 11

50k + 25 + k + 4 = 11

51k = -18

k = - 18/51 = –6/17.✅

b) p.q = |p||q|cos∅

p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j

|p| = √ (5/17)² + 1²

|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424

q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j

q = 25i + 62/17 j

|q| = √ 25² + (62/17)²

= 25.2646

Now applying them to the formula above

We already have p.q = 11 from the question.

11 = (1.0424)(25.2646)Cos∅

11 = 26.3358Cos∅

Cos∅ = 11/26.3358

Cos∅ = 0.4177

∅ = 65.31°.

This should be it.

Hope it helps

6 0

3 years ago

There are 212 students in the 8th grade class. The number of girls is 49 less than twice the number of boys. How many girls and

Anna71 [15]

Answer:

girls = 125

boys = 87

Step-by-step explanation:

Total number of students in the 8th grade class = 212

Let g represent girls and b represent boys

Number of girls, g = 2b -49

Note that boys and girls in the class give a total of 212

So,

g + b = 212 ....eq 1

Slot in the value of g in the equation

2b - 49 + b = 212

2b + b - 49 = 212

3b - 49 = 212

Add 49 to both sides

3b - 49 + 49 = 212 + 49

3b = 261

Divide both sides by the coefficient of b which is 3

b = 87

Now that we've found the number of boys, let's find that of girls

We will slot in the value of b in eq 1

g + 87 = 212

Subtract 87 from both sides

g + 87 - 87 = 212 - 87

g = 125

So the number of boys is 87 and the number of girls is 125

8 0

3 years ago

Find the area of the surface. the part of the surface y = 5x + z2 that lies between the planes x = 0, x = 1, z = 0, and z = 1.

Alex787 [66]

Parameterize the part of the surface we care about, denoted $\mathcal S$ , by

$\mathbf r(u,v)=\langle u,5u+v^2,v\rangle$

with $0\le u\le1$ and $0\le v\le1$ .

Then

$\|\mathbf r_u\times\mathbf r_v\|=\|\langle5,-1,2v\rangle\|=\sqrt{4v^2+26}$

The area is given by the surface integral

$\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=1}\int_{u=0}^{u=1}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_{v=0}^{v=1}\sqrt{4v^2+26}\,\mathrm dv=\sqrt{\dfrac{15}2}+\dfrac{13}2\sinh^{-1}\sqrt{\dfrac2{13}}$

7 0

4 years ago

Find the value of x in the given

Salsk061 [2.6K]

Answer:

8.0

Step-by-step explanation:

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 37 = x/10

x = 10cos 37

x = 7.99

The vale to the nearest tenth is 8.0

5 0

3 years ago