On a bird-watching trip, Mei and Jackie counted 68 birds.
Of these, 45 of the birds were sparrows. Which value is a
reasonable estimate of the percent of sparrows in the
birds Mei and Jackie counted?
1. 175%
2.140%
3. 70%
4. 90%

Answer:

(1.1155 ; 1.1245)

Step-by-step explanation:

Given that :

Sample mean, xbar = 1.12

Sample standard deviation, s = 0.011

Sample size, n = 25

Since we are using the sample standard deviation, we use the T distribution ;

The confidence interval is defined as :

C. I = Xbar ± Tcritical * s/√(n)

Degree of freedom, df = n - 1 = 24

Tcritical(0.05, 24) = 2.064

C. I = 1.12 ± (2.064 * 0.011 / √25)

C.I = 1.12 ± 0.0045408

Lower boundary = (1.12 - 0.0045408) = 1.1155

Upper boundary = (1.12 + 0.0045408) = 1.1245

(1.1155 ; 1.1245)

Answer:

30 in²

Step-by-step explanation:

Parallelogram height is,

6/2 (since it's a 30°-60°-90° triangle)

= 3

Area = base × height

= 10×3 in²

= 30 in²

Answered by GAUTHMATH

Answer:

g ∥ h

Step-by-step explanation:

since lines e,f,g are parallel to each other,

h is perpendicular to lines e,f,g

Answer:

x=6

Step-by-step explanation:

5x - 11 = 19

5x = 30

x = 6

20characters

5x = 19+11 5x = 30 x = 30/5 x = 6

Answer:

Step-by-step explanation:

P = 1800

R = 10%

T = 2 years

I = PRT

= 1800 * 10/100 * 2

= 1800 * 0.1 * 2

I = £360

The amount that will be gotten back as interest will be £360

Principal =  £1800

Rate = 10%

Time = 2 years

Simple Interest will be calculated as:

= (P × R × T) / 100

= (£1800 × 10 × 2)/100

= £36000/100

= £360

Therefore, the interest is £360.

Read related link on:

https://brainly.com/question/24355322

Answer:

The numbers 3(pi)/2, 5(pi)/2 satisfy the conclusion of Rolle's Theorem

Step-by-step explanation:

1. The function must be continuous.  

Trigonometric functions are continuous.  

2.  It must be true that f(a) = f(b) = 0

For this case sin(pi) = sin(3pi) = 0

3. Therefore by Rolle's Theorem, there exist a point, x, such that f(x) = 0

For this case f(x) = cos(x)

And cos(x) = 0 at x = 3(pi)/2,5(pi)/2

Step-by-step explanation:

combination

is answer of this question

Answer:

Isaac is 26

Simon is 24

if 8 is 4 I.e 8 divide by 4 is 2

therefore 1 minute is 2 scores

Isaac :13 x 2=26

(do the same to Simon to get his score)

Answer:

52.8

Step-by-step explanation:

(3×2.6×2/2)+(3×5×3)

= 7.8+45

= 52.8

Answered by GAUTHMATH

Answer:

10 2/3 is ther answer simplified

Step-by-step explanation:

7 2/3

(Decimal: 7.666667)

Answer:

a. 24.12 ft³/hr b. 0.0768 ft/hr

Step-by-step explanation:

a. Find the rate at which the volume of water in the pool is increasing at time t=6 hours.

The net rate of change of volume of the cylinder dV/dt = volume flow rate in - volume flow rate out

Since volume flow rate in = P(t) and volume flow rate out = R(t),

dV/dt = P(t) - R(t)

[tex]\frac{dV}{dt} = P(t) - 18e^{0.04t}[/tex]

We need to find the rate of change of volume when t = 6.

From the table when t = 6, P(6) = 47 ft³/hr

Also, substituting t = 6 into R(t), we have R(6)

[tex]\frac{dV}{dt} = P(t) - 18e^{0.04t}[/tex]

[tex]\frac{dV}{dt} = 47 - 18e^{0.04X6}\\\frac{dV}{dt} = 47 - 18e^{0.24}\\\frac{dV}{dt} = 47 - 18 X 1.27125\\\frac{dV}{dt} = 47 - 22.882\\\frac{dV}{dt} = 24.118 ft^{3}/hr[/tex]

dV/dt ≅ 24.12 ft³/hr

So, the rate at which the water level in the pool is increasing at t = 6 hours is 24.12 ft³/hr

b. How fast is the water level in the pool rising at t=6 hours?

Since the a rate at which the water level is rising is dV/dt and the volume of the cylinder is V = πr²h where r = radius of cylinder = 10 ft and h = height of cylinder = 5 feet

dV/dt = d(πr²h)/dt = πr²dh/dt since the radius is constant and dh/dt is the rate at which the water level is rising.

So, dV/dt = πr²dh/dt

dh/dt = dV/dt ÷ πr²

Since dV/dt = 24.12 ft³/hr and r = 10 ft,

Substituting the values of the variables into the equation, we have that

dh/dt = dV/dt ÷ πr²

dh/dt = 24.12 ft³/hr ÷ π(10 ft)²

dh/dt = 24.12 ft³/hr ÷ 100π ft²

dh/dt = 0.2412 ft³/hr ÷ π ft²

dh/dt = 0.2412 ft³/hr

dh/dt = 0.0768 ft/hr

So, the arate at which the water level is rising at t = 6 hours is 0.0768 ft/hr

Answer:

6 × ( 3x - 4)

Step-by-step explanation:

Not much to explain.

Hope this helps!

If there is something wrong, please let me know

Answer:

464 $

Step-by-step explanation:

Answer:

(0, 10)

Step-by-step explanation:

Answer:

y = -4x + 10

Step-by-step explanation:

y = -4x + b

-6 = -4(4) + b

-6 = -16 + b

10 = b

The odd natural number x such that the LCM of x and 40 is 1400 is 35

The least common multiple the lowest multiple of two or more numbers.

From the question, we need to determine the value of x of the LCM of the numbers is 1400

LCM (x,40) = 1400

Find a possible value of x

x = 1400/40

x = 35

Hence the odd natural number x such that the LCM of x and 40 is 1400 is 35

Learn more on LCM here: https://brainly.com/question/233244

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Answer:

I didn't find the answer in the options

the height of the bigger triangle is 11√6/√3 = 11√2

x = 11√2 × √2 = 11×2 = 22

Answered by GAUTHMATH

9514 1404 393

Answer:

Step-by-step explanation:

Let L represent the length of the rectangle. Then the width is W=5+3L, and the perimeter is ...

  P = 2(L+W)

  240 = 2(L +(5 +3L))

  120 = 5 +4L

  115 = 4L

  115/4 = L = 28.75 . . . . cm

  W = 5+3L = 5 +3(28.75) = 91.25 . . . . cm

The length and width of the rectangle are 28.75 cm and 91.25 cm.

Answer:

Choice B.

[tex]4x - 2y = 0[/tex]

Step-by-step explanation:

Has integer coefficients and equal to 0.

Answer:

might be wrong too

Step-by-step explanation:

hope u like it

10-[5-{6+2(7-7-4)}]=10-[5-{6+2×(-4)}]=10-[5-2]=10-3=7

Answer:

don't know...........

In a trapezoid, the midline is the average of the two bases.

PW = (YZ + TM) / 2

29 = (23 + 11x + 2) / 2

58 = 23 + 11x + 2

58 = 25 + 11x

11x = 33

x = 3

Hope this helps!

Answer:

0.375 dollars

Step-by-step explanation:

1 pound = 16 oz

1 oz = 1/16 pound

2 oz = 2/16

2/16 * 3 = 0.375

Answer:

10

Step-by-step explanation:

(-12) + (-8) +30

-(12+8)+30

-20 + 30

10

[tex]\\ \Large\sf\longmapsto 11+12[/tex]

[tex]\\ \Large\sf\longmapsto 23[/tex]

[tex]\boxed{\Large{\sf P(G)=\dfrac{No\:of\:green\:marbles}{Total\:marbles}}}[/tex]

[tex]\\ \Large\sf\longmapsto P(G)=\dfrac{11}{23}[/tex]

Answer:

11/23

Step-by-step explanation:

11 green marbles and 12 orange marbles = 23 marbles

P(green) = green marbles / total marbles

               = 11/23

Answer:

45°

Step-by-step explanation:

[tex] \sin \: m\angle F = \frac{EG}{FG} \\ \\ \sin \: m\angle F = \frac{2 \sqrt{11} }{2 \sqrt{22} } \\ \\ \sin \: m\angle F = \frac{\sqrt{11} }{ \sqrt{22} } \\ \\ \sin \: m\angle F = \frac{1}{ \sqrt{2} } \\ \\ \sin \: m\angle F = \sin \: 45 \degree \\ \\ \huge \boxed{ \purple{m\angle F = 45 \degree }}[/tex]

Answer:

6.angle m=180-60=120

7.angle y=180-(60+65)=55

Answer:

a+b=c+d/2

i cant understand what answer you want

I think that car travelled 128 km in one hour and 384km in 3 hours

Answer: 384 km

Step-by-step explanation:

Convert m/ph to k/ph by multiplying the equivalent of 1 mile in kilometers    

 (1m = about  1.6km) by the total number of miles.

 80  x  1.6 =  128

 You now have the distance traveled per hour in m/ph converted to k/ph.

 All you do now is multiply it by the time traveled:

 (128 kilometers per one hour for 3 hours)

 128 kph x 3 = 384km