What is the slope of the line 3x – 9y = 4? -3, -1/3. 1/3, or 3

=======================================================

Explanation:

n = 20 is the sample size

p = 0.035 is the probability of selecting someone who is from multiple births (twins, triplets, etc)

Either someone is a twin/triplet/etc or they aren't. This two option nature is a strong implication we have a binomial probability.

The binomial probability formula is

B(x) = (n C x)*(p)^x*(1-p)^(n-x)

where x is the number of successes and the n C x refers to the nCr combination formula.

We want to know the value of B(3), ie the value of B(x) when we have exactly x = 3 children from multiple births.

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

B(x) = (n C x)*(p)^x*(1-p)^(n-x)

B(3) = (20 C 3)*(0.035)^3*(1-0.035)^(20-3)

B(3) = (1140)*(0.035)^3*(0.965)^(17)

B(3) = 0.026673

There's roughly a 2.6673% chance of the 20 person sample having exactly 3 children who are from multiple births.

Side note: You can compute 20C3 = 1140 using the conventional nCr formula, or you can use Pascal's Triangle as an alternative route.

Fraction are ratios of two integers. Lans have covered 1.5km if he ran 25% further than Marianna.

Fraction are ratios of two integers. Given the following parameters

Total distance covered by Marianna = 1.2km

If Ian runs 25% further than Marianna, the total distance covered by lan is expressed as:

Total distance covered by Lan .= 1.25 * 1.2
Total distance covered by Lan = 1.5km

Hence Lans have covered 1.5km if he ran 25% further than Marianna.

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Step-by-step explanation:

question not complete

do mark Brainliest

Answer:third option

Step-by-step explanation:

I just did it

Answer:

288

Step-by-step explanation:

(-2)x(-4)=8

(8)x(-6)=-48

(-48)x(-6)=288

Answer:

Q = 247

Step-by-step explanation:

From B.

2*Q + 471 = 931

2*Q= 494

Q = 247

The problem states that Q is two times bigger than P

P < 2*Q

471 < 2*247

471 < 494

Answer:

5 minutes

Step-by-step explanation:

it dives at positive 18 feet in a minute

however in order to dive at -54 feet, it must dive -5 times

18-18-18-18-18= -54

and 1min =18feet

so it needs 5minutes for the 5times

OR

Let x=the time needed to dive at -54 feet's

so 1min=18

x= -54

-54=18x

dividing both sides by 18

-54/18=18x/18

x=-54/18

x=-5

however time cannot be negative

therefore x =5

this implies that the penguin dives at -54 feet in 5 minutes.

Answer:

a) 17.6 ft

b) 81.8 mm

c) 9 cm

d) 12 in

Step-by-step explanation:

Use the formula: πd = circumference to solve this equation

so you need to double the radius to get the diameter.

a) 5.6π = 17.6 ft

b) 26π = 81.8mm

c) 56.5 / π = 18.0 cm / 2 = 9 cm

d) 75.4/ π = 24.0 cm / 2 = 12 in

Answer:

1. No

2. No

3. Yes

4. No

The length of a will be a different number and the value will be 4.71in

The given diagram is a sector and the formula for calculating the length of an arc is expressed as:

Length of an arc = rβ

where

Given the following parameters

β .= 45 degrees

r = 6in

Substitute

Length of an arc = 6π/4

Length of an arc = 6(3.14)/4

Length of an arc = 4.71inches

This shows that the length of a will be a different number and the value will be 4.71in

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Answer:

angles measuring 25,65, and 90 can create more than one triangle, as angles can be same it can create similar triangles.

Answer:

a

Step-by-step explanation:

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3[/tex]

Answer:

Step-by-step explanation:

Given that the diameter of the flower bed is 17 m and the width of the side walk is 2 m for a total out side diameter of 21 m.

Total Area is pi *(D/2)^2 = 346.4 m^2

Now subtract the area of the 17 m diameter flower bed for the area of the sidewalk alone. 346.4 - (pi*(17/2)^2 = 346.4 - 227.0 = 119,4 m^2

Answer:  119,4 m^2

Step-by-step explanation:

The equation is area = p times r^2

8 times eight times 3.14 =  119,4 m^2

Answer:

Points A and B are not on the unit circle.

Step-by-step explanation:

Recall that a "unit circle" has a radius of 1, and so if x² + y² ≠ 1, the point is not on a unit circle.

In A we apply the Pythagorean Theorem as follows:  1² + 1² = 2 ≠ 1.

Therefore, point (1, 1) is not a point on the unit circle.

In B:  if we square the x and y components and add these squares together, we get 3/4 + 1/9, which does not equal 1.  Point not on unit circle.

In C, we get 4/9 and 5/9, which eqals 1.  This point C lies on the unit circle.

In D, we get 0.64 + 0.36 = 1, so this point does lie on the unit circle.

Thus:  not on unit circle:  A(1, 1), B(√3/2, 1/3)

On unit circle:  D(0.8, -0.6), C(-2/3, √5/3)

Answer:

€ 2932.54

Step-by-step explanation:

Rate of interest for income upto 12012 = 0.5 %

    Interest = 0.5% *12012

                  =0.05 *12012

                  = € 60.06

Rate of interest for income between 12012.01 to 19874 = 2%

    Interest = 2% * 19874

                  = 0.02 * 19874

                   =  € 397.48

Rate of interest for income between 19874.01 to 70044 = 4.5%

 Interest = 0.045 * 55000

               = € 2475

Anna's USC for the year = 60.06 + 397.48 + 2475

                                         = € 2932.54

Answer:

15 times

Step-by-step explanation:

3 is one of the six numbers on a die.

The probability of rolling a 3 in one roll is [tex]\frac{1}{6}[/tex].

If you multiply it by 90, you get 15 times.

Answer:

C 15

Step-by-step explanation:

3 = 1/6

since there's 90 times

90/6 is equal to 90 x 1/6

90/6

= 15

Answer:

Correct!

Step-by-step explanation:

The solution is x = 1

Answer: The correct option is D

Step-by-step explanation:

Correct on edge 2022

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given expression !

so let's start ~

[tex] \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \\ \\ \implies \: \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \: \times \: \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} } = \frac{(6 - 4 \sqrt{3}) {}^{2} }{6 {}^{2} - 4 \sqrt{3} {}^{2} } \\ \\ \implies \frac{\: 6 {}^{2} + 4 \sqrt{3} {}^{2} - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\ \\ \implies \: \frac{36 + 48 - 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{84 + 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{ \cancel{- 12}(7 - 4 \sqrt{3} )}{ \cancel{ - 12} } \\ \\ \implies \: 7 - 4 \sqrt{3} [/tex]

hope helpful :D

Answer:

-7+4√3.

Step-by-step explanation:

6-4√3 / 6+4√3     Multiply top and bottom by  6-4√3:-

=  (6-4√3)( 6-4√3) / (6+4√3)(6- 4√3)

= (36-24√3- 24√3+48) / (36-48)

= (36-48√3+48) / (-12)

= -3 +4√3 - 4

=  -7 + 4√3.

Answer:

Step-by-step

Let us assume that the third leg is X. So, X^2 + 2^2 = 5^2.X^2 = 25 - 4.X^2 = 21.X = root 21.

a right triangle, hypotenuse=5 cm, one leg=2 cm, the other leg=xApplying the Pythagorean theorem:5^2=2^2+x^2, 25=4+x^2,x^2=25–4=21, x=sqrt(21), x=4,58 cmThe measurement of the other leg is 4,58 cm

Answer:

Perimeter of a triangle is the length that borders a triangle, you would just have to add all the side length's up

Step-by-step explanation:

Hello! I'm here to help.

The answer is B. ✔

B. is correct because...

[tex]2.805 / 2.58 = 1.08[/tex]

[tex]0.46 / 0.406 = 1.13[/tex]

[tex]1.001 / 1.01 =[/tex] 0.99

That being said, the correct option is B.

Answer:

One solution

Step-by-step explanation:

0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)

0.75x + 30 = 0.35x + 7 + 0.35x + 7

0.75x + 30 = 0.7x + 14

0.05x + 30 = 14

0.05x = -16

x = -320

Hope this helps!

Only one solution exists for the given equation.

A mathematical statement that demonstrates the equality of two mathematical expressions is a mathematical solution, which is the definition of an equation.

Here,

The mathematical equation given is,

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

By solving it,

0.75(x + 40) = 0.7(x + 20)

0.75x - 0.7x = 14 - 30

0.05x = -16

Therefore, the solution of x,

x = -16/0.05

x = 320

Hence,

Only one solution exists for the given equation.

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Answer:9

Step-by-step explanation: 30= 2n + 12

Subtract 1Subtract12 from both sides

Divide both sides by 2

Considering the situation described, the p-value for Amy's result is of 0.0203.

At the null hypotheses, it is tested if the mean is not greater than $50,000, that is:

[tex]H_0: \mu \leq 50000[/tex]

At the alternative hypotheses, it is tested if the mean is greater, hence:

[tex]H_1: \mu > \leq 50000[/tex]

We are testing if the mean is greater than a value, hence we have a right-tailed test. Using a right-tailed test with t = 2.06 and 200 - 1 = 199 df, the p-value is of 0.0203.

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The amount of water to be added to the mixture to make it 45.5% water is 0.06.

Word problems in mathematics involve the interpretation of word problems into variables and setting an equation to solve those variables.

From the given information:

= (45.5 - 40.0)%

= 5.5%

= 0.055

= 0.06 to the nearest hundredth

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