Here are five number cards.
2
5
7
8.
CO
One of the cards is removed and the mean average
of the remaining four number cards is 6
+
Which card was removed?
You must show your working.
+
Note: Please make sure your final answer says card ...
EC
brate Geb

Answer:

7.85 in³

Step-by-step explanation:

π · r² · h

3.14  · 0.5² · 10

7.85 in³

Answer:A

Step-by-step explanation:

Answer:

0.2051

Step-by-step explanation:

The probability of follppping a coin 10 tones and getting a tail 6 times can be solved in different ways :

One way is to use the binomial probability relation :

Where :

P(x = x) = nCx * p^x * q^(n-x)

Number of trials, n = 10

p = 1/2 (probability of obtaining a tail per flip)

q = 1- 1/2 = 1/2

x = 6

P(x = 6) = 10C6 * 0.5^6 * 0.5^4

P(x = 6) = 0.205078125

P(x = 6) = 0.2051

Answer:

The answer is (2x+y)(2x-3)

Step-by-step explanation:

I learned this on ixl, its kind of hard to explain.

Answer:

x = 44.3°

Step-by-step explanation:

Redrawing the triangle,

To obtain x, we can apply the trigonometric relation :

Sin x = opposite / hypotenus

Opposite side = 6.5

Hypotenus = 9.3

Sin x = 6.5/9.3

x = sin^-1(6.5 / 9.3)

x = 44.34

x = 44.3°

Answer:

6.2%, option A.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

The desired area to hit is of 50 in², while the total area is of 804 in². Thus, the probability of hitting the bull's-eye is:

[tex]p = \frac{50}{804} = 0.062[/tex]

0.062*100% = 6.2%.

6.2%, option A.

Answer:

2ND one is correct because of the box between them

Answer: 5 7/10

Step-by-step explanation:

Answer:

5 7/10

Step-by-step explanation:

See the image below for steps:)

9514 1404 393

Answer:

  multiply the radius by √1.2 ≈ 1.0954

Step-by-step explanation:

Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...

  V = πr²h

In this application, we want the original and modified volumes to be the same.

  πr²(30) = π(r')²(25)

  (r')² = r²(30/25) = r²(6/5)

  r' = r√(6/5)

The radius can be multiplied by √1.2 to maintain the original volume of the pond.

Answer:

3x+4y=60

Step-by-step explanation:

3x+4y=60

Answer:

x = sqrroot(5)

Step-by-step explanation:

The radical form of x²=5 is x= ±√5.

The √ symbol that is used to denote square root or nth roots.

An expression with a square root is referred to as a radical expression. Radicand: A value or phrase included within the radical symbol.

Radical notation is the usage of a root in an expression, such as the square or cube root.

For example,  radical form is ∛3 = √27.

Given:

x²=5

Now, we have to write it in the radical form.

So, we can write

x= ±√5

Hence, the radical form of x²=5 is x= ±√5.

Learn more about radical form here:

https://brainly.com/question/27272065

#SPJ2

Answer:

The length of the interval is of 1.8672.

Step-by-step explanation:

Length of a confidence interval:

Margin of error multiplied by 2.

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

s=8.57, n=300

[tex]\sigma = 8.25, n = 300[/tex]

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{8.25}{\sqrt{300}}[/tex]

[tex]M = 0.9336[/tex]

Length:

2*0.9336 = 1.8672

The length of the interval is of 1.8672.

Answer:

Area of the rectangle + area of trapezium

(6×20)m² + 1/2×(8+20)× 5m²

120+ 70m²

190 m²

OPTION D

Answer:

I just answer this

x = 4,235294118

Step-by-step explanation:

Answer:

tan 21 = 17 000 / d

d = 17000/ tan21 = 44286.5 ft

Answer:

https://cdn.erblearn.org/pdf/www/WTE_Middle_September2018_FINAL.pdf

Step-by-step explanation:

This may be it! Sorry, I didn’t take the ISEE, I only took the SHSAT! I’ll keep looking for it!

Answer:

23.9393939393 million

Step-by-step explanation:

I keep it as 7.9 instead of 7900000 to not deal with the zeros.

7.9x[tex]\frac{100}{33}[/tex]=23.9393939393

23.9393939393 answer in millions

Answer:

The answer is "6, 58, 6 and 58"

Step-by-step explanation:

Using formula:

[tex]Cell\ value = \frac{(row \ total) \times (column \ total)}{total}[/tex]

                 [tex]Gluten-free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Not\ gluten \ free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Row \ total[/tex]

[tex]Positive\ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58 \ \ \ \ \ \ \ \ \ \ \ 64 \\\\Negative\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58\ \ \ \ \ \ \ \ \ \ \ 64 \\\\Column\ Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 116\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 128[/tex]

9514 1404 393

Answer:

  1731 ft

Step-by-step explanation:

The tangent relation is useful in this problem.

  Tan = Opposite/Adjacent

The height of the light is found to be ...

  tan(11°) = height/(639 ft)

  height = (639 ft)·tan(11°) . . . . . solve for height

Then the distance from the light to point B is ...

  tan(3°) = height/(B distance)

  B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft

Then the distance from point A to point B is ...

  2370 ft -639 ft = 1731 ft . . . AB distance

Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]

As we know that CD is the height of the lighthouse, now

In Δ BCD

The tan function for the distance between the lighthouse and point B can be written as,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]

Hence, the distance between the lighthouse and Point B is 2370 ft.

Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,

The Distance between Point A and B (AB) = CB - CA

                                                                       = 2370 - 639

                                                                       = 1731 ft.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Answer:

Here is the Matlab code.

Step-by-step explanation:

Matlab Code:

[tex]A = [1 2 2;3 4 5;6 7 8]\\[U,S,V] = svd(A)u1 = U(:,1)\\u2 = U(:,2)\\u3 = U(:,3)\\d1 = dot(u1,u2)\\c = cross(u1,u2)\\d2 = dot(c,u3)[/tex]

[tex]d1 =- 5.5511e-17\\c = -0.7172 0.6643 -0.2103\\d2 = 1[/tex]  

Yes, since c = cross(u1,u2) is orthogonal to both u1 and u2. Hence is u3, thus the dot product with u3 is 1.

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Since both fractions have a different denominator, we need to look for a common denominator.

[tex]\frac{1}{3}=\frac{3}{9}[/tex]   Multiply 3 in both numerator and denominator

[tex]\frac{5}{9} -\frac{3}{9} =\frac{2}{9}[/tex]    

Hence, 2/9 is the answer

Answer:

13

Step-by-step explanation:

since the inside of a triangle is equal to 180

180-42-73=65

65/5=13 so 13 should be the answer.

Sum of the interior angles of a triangle= 180°

Therefore, 42°+ 73°+5a= 180°

=> 115°+5a = 180°

=> 5a= 180- 115°

=> 5a = 65°

=> a = 65°/5

=> a= 13°

Answer:

3/25

Step-by-step explanation:

12% = [tex]\frac{12}{100}=\frac{4*3}{4*25}=\frac{3}{25}[/tex]

Convert percentage to fraction and then simplify

Answer:

3/25

Step-by-step explanation:

12% = 12/100 = 3/25 = 3/25

Answer:

3/14 of an hour

Step-by-step explanation:

9 hours/42 dollars

Answer:

5800

Step-by-step explanation:

8% of 90,000 = 7,200

90,000 + 7,200 = 97,200

6% of 97,200 = 5832

Rounded to the nearest hundred: 5800

Hope this helps!!

Answer:

4h55m57.69ssss

Step-by-step explanation:

2,25×114÷52