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Tanzania [10]
3 years ago
10

As a river guide on the gauja river, antra earned $55 per passenger and a $25 tip. if she earned $410 altogether, how many passe

ngers did she have?
Mathematics
2 answers:
sveticcg [70]3 years ago
8 0
490 totally answer
55 + 25 +410 = 490
Ket [755]3 years ago
5 0

410 - 25 = 386

385 ÷ 55 = 7 passengers


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A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
3 years ago
Good morning can y’all help me
tia_tia [17]

Answer:

The answer is (A.)

Step-by-step explanation:

4 x 9 = 36

6 x 9 = 54

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8 0
3 years ago
Select the correct answer from each drop-down menu.
finlep [7]

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be (x_2,y_2)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be (x,y)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of B=(x_2,y_2)=(10,-4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

4 0
3 years ago
Help me with this question, please
anzhelika [568]

Answer:

Part 1: [ -4 = -8 ]

Part 2: Inconsistent

Step-by-step explanation:

<u>Part 1</u>

1. Move all terms that don't contain x to the right side:

3x - 6y+6y = -12+6y

= 3x = -12 + 6y

2. Isolate x:

\frac{3x}{3} = \frac{-12+6y}{3}

x = -4 + 2y

3. Substitute the new expression into the original:

-4 + 2y - 2y = -8

4. Simplify:

-4 + 0 = -8

[ -4 = -8 ]

<u>Part 2</u>

The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.

hope this helps!

7 0
2 years ago
Find the length of an arc of a circle with radius 15 cm if the arc subtends a central angle of 60°.
andrey2020 [161]
Arc length = (πrθ)/180        [r=radius, θ=central angle, π≈3.14]

arc length = (3.14 * 15 * 60)/180 = 3.14 * 5 = 15.7 cm
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3 years ago
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