The pie charts show information about the favourite animal of each student at school A and of each
student at school B.
School A
School B
monkeys
tigers
60°
monkeys
lions
(160°
(110°
tigers
lions
There are 480 students at school A.
There are 760 students at school B.
Henry says,
"The same number of students at each school have tigers as their favourite animal."
Is Henry correct?
You must show how you get your answer.​

Answer:

2.275%

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score = 14.9 ft

μ is the population mean = 12.5 ft

σ is the population standard deviation = 1.2 ft

We are to find the percentage of the apple trees are taller than 14.9 ft,

This means x > 14.9, x greater than 14.9

Hence,

z = (14.9 - 12.5)/1.2

z = 2

Probability value from Z-Table:

P(x<14.9) = 0.97725

P(x>14.9) = 1 - P(x<14.9) = 0.02275

Converting to Percentage

= 0.02275 × 100

= 2.275%

Therefore, the percentage of the apple trees that are taller than 14.9 ft is 2.275%

Answer:

6 chairs

8 desks

Step-by-step explanation:

First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...

125 x 14 =  1750$

We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...

515 - 125 = 390$

Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...

(4870 - 1750) / 390 = 3120 / 390 = 8 desks

And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...

14 - 8 = 6 chairs

Answer:

the picture is messed up

Step-by-step explanation:

Answer:

34?

Step-by-step explanation:

P=a+b+c=10+12+12=34

Answer:

i need help too

Step-by-step explanation:

plese

Answer:

x= 69°

Step-by-step explanation:

First find the inner angle of the 159°

so you would do 180-159=21

next you add 21 ° to the 90° from the right angle

that gives you 111°

last you do 180-111 and you get 69

Answer:

x = 69

Step-by-step explanation:

180 - 159 = 21

The sum of the three angles of any triangle is equal to 180 degrees, so:

21 + 90 + x = 180

111 + x = 180

180 - 111 = x

x = 69

Have a nice day!

Step-by-step explanation:

50 is your correct Answer

Answer:

[tex]x=23.82^o[/tex]

Step-by-step explanation:

[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]

[tex]tan~36=\frac{225}{y}[/tex]

[tex]y=\frac{225}{tan ~36}[/tex]

[tex]y=309.6859321[/tex]

[tex]tan(x)=\frac{225}{y+200}[/tex]

[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]

[tex]x=23.81898048[/tex]

[tex]x=23.82^o[/tex]

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

hope it helps...

have a great day!!

23.82° is derived as the value of x according to nthe diagram shown.

This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.

36 = 225/y

y = 225/tan 36

  = 309.686.

tan(x) = 225 / y+200

x = tan -1 (225/309.686)

x = 23.82

Read more about Angle of elevation here https://brainly.com/question/88158

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Answer:

A ≈ 153.86 in²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

   = π × 7²

   = 3.14 × 49

   ≈ 153,86

   ≈ 154 in² ( to the nearest whole number )

Answer: B. 45/100 & D. 9/20

Step-by-step explanation:

100-55=45

45/100 works

45/5 = 9

100/5 = 20

9/20 is a simplified 45/100

Answer:

6

Step-by-step explanation:

I counted

Answer:

14 dollars

Step-by-step explanation:

Anjali had 12 dollars after recieving the 5. So in order to find out how much she had before cleaning the gutters, we substract those 5 dollars from the 12. That leaves us with 7 dollars. This is the amount of money she had after spending half at the movies, and before cleaning the gutters. Which mean's it's half of her allowance. 7 x 2 is 14, which is your answer! :)

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helped :) If you need a explantion step by step then tell me.

Answer:

(0,2) reflected is (2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?

Answer:

20x + 10

Step-by-step explanation:

Given that :

Number of $20 bill = x

Number of $10 bill = 1

Total amount of money can be expressed as :

Σ(Value of bill * number of bill)

Hence,

($20 * x) + ($10 * 1)

20x + 10

The expression for the amount of money Donald has is : 20x + 10

Answer: [tex]6.04\ ft[/tex]

Step-by-step explanation:

Given

The fence has a length of 38 ft i.e. it is the circumference of the circular flower

The circumference of the circle is [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]

The largest radius of the garden is  [tex]6.04\ ft[/tex]

Answer:

Step-by-step explanation:

Radius=r. Diameter=d. C=circumference. A=area

Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.

Formulas;

r=d÷2

C=2πr

A=πr²

π=[tex]\frac{22}{7}[/tex] or 3.142

4).

a.)r=d÷2

=4.8cm÷2

=2.4cm

b.)d=4.8cm

c.)C=2πr

=2×3.142×2.4cm

=15.08cm

d.) A=πr²

=3.142×(2.4)²

=3.142×5.76

=18.09cm² or 18.1cm²

5.

a.)r=d÷2

=7÷2

=3.5cm

b.)d=7cm

c.)C=2πr

=2×3.142×3.5

=21.99cm or 21.1cm

d.)A=πr²

=3.142×(3.5)²

=3.142×12.25

=38.49cm²

6.)

a.)r=d÷2

=14÷2

=7cm

b.)d=14cm

c.)C=2πr

=2×3.142×7

=43.99cm

d.)A=πr²

=3.142×(7)²

=3.142×49

=153.96cm²

9514 1404 393

Answer:

  A.  A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

The relationship that has constant y-values is the one with zero slope. That would be the first table.

Answer: A

Step-by-step explanation: He is correct

First, order up the numbers into order:

2, 3, 3, 5, 6, 8

Next, cut off the ones on each side to get the median.

2, 3, 3, 5, 6, 8

2, 3, 3, 5, 6, 8

Now with this, add the two middle numbers and divide by 2 to find the avg. of them:

3+5 = 8

8/2 = 4 is the Median

Next, split up the number list into the lower section and the higher section, now knowing the Median:

2, 3, 3 Lower

5, 6, 8 Higher

Then, find the Median of each of these sections.

2, 3, 3 Lower Quartile is 3

5, 6, 8 Higher Quartile is 6

Hope that helps.

Answer:

26° 26° 128°

77° 77° 26°

Step-by-step explanation:

So we have two scenarios here.

One of them is if the base angles are 26°.

If that's true, the other angle is 128°

The other scenario is the opposite.

This means the base angles are 77°

Answer:

Step-by-step explanation:

Rewrite 3x²-12x+16 as follows:

3(x^2 - 4x) + 16

Complete the square of x^2 - 4x; it is (x - 2)^2 - 4.  We then have:

3( (x - 2)^2 - 4) + 16, or:

3(x - 2)^2 - 12 + 16, or

3(x - 2)^2 + 4

Then a = 3, p = -2 and q = 4

********************************************************************

Completing the square of x^2 - 4x is done as follows:

1.  Identify the coefficient of x:  It is -4.

2.  Take half of this result:  It is -2

3.  Square this, and then add the square to x^2 - 4x, and then subtract it:

    x^2 - 4x = x^2 - 4x + 4 - 4

4.  Rewrite this result in the form (x - a)^2 - c:

    (x - 2)^2 - 4  

5.  Now follow the remainder of the problem solution (given above)

Answer:

10 walnuts..

Step-by-step explanation:

12 - 2 = 10

Answer:

10?

Step-by-step explanation:

12-2=10

Answer:

$270

Step-by-step explanation:

20% of 225 is 45. So, 225+45=270

Answer:

24.2 feet.

Step-by-step explanation:

pythagorean theorem will solve this so A^2 + B^2=C^2

we have a and c so you do c -a and square root it to get your answer

The height of the building is approximately 24.19 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, place a 29-foot ladder against the top of a building and the bottom of the ladder is 16 feet from the bottom of the building.

So, hypotenuse of the triangle is 29 feet and base of the triangle is 16 feet.

Let h be the height of the building.

Now, 29²=16²+h²

841=256+h²

h²=841-256

h²=585

h=24.19 feet

Therefore, the height of the building is approximately 24.19 feet.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

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Answer:

65

Step-by-step explanation:

Method 1(Algebra):

m - 14 = 51

Add 14 to both sides of the equation.

m - 14 + 14 = 51 + 14

Combine like terms.

m = 65

Method 2:

m - 14 = 51

Move negative fourteen(- 14) to the other side of the equation. Because we moved it, it is now positive fourteen( + 14)

m = 51 + 14

Combine like terms.

m = 65

Answer:

5.3 years or 17.2 years

Step-by-step explanation: