The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean mu = 18 sec and standard deviation sigma = 1.2 sec. what percentage of the runners have times less than 14.4 sec? 0.15% 0.30% 0.60% 2.50%

Answer: 200 students gave their speeches.

Explanation;

240 ÷ 6 = 40

40 x 5 = 200

Answer:

sum up all the sizes and multiple it by 2

Answer:

C

Step-by-step explanation:

The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).

I wasn't entirely sure how to explain this but I really hope this helps!

Answer:

A and C

those are the two ways to find surface area on that shape without overlap

Answer:

64

Step-by-step explanation:

[tex]\sqrt{256}[/tex] = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

Step-by-step explanation:

BC / EC = 21/14 = 3/2.

AC / CD = 27/18 = 3/2.

Angle ACB and ECD are congruent because they are vertical angles.

This means that triangle ABC is similar to triangle DEC by SAS.

Answer: no solution

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]

equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]

make x the subject in equation 1,

[tex]\sf x = 3+3y[/tex]

insert this in equation 2,

[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 7 = 0[/tex]

Thus no solution for x and y in this solution.

Answer:

$22.50

Step-by-step explanation:

105/6= 17.5 each

17.5+5= 22.5

Answer:

13.93

Step-by-step explanation:

find the mean
11.60 + 16.25 ÷ 2 = 13.93

Answer:

It is actually very simple:

Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:

[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c

I believe this is the answer. I hope I had helped :)

Answer:

7

Step-by-step explanation:

Answer:

Explanation:

False statements:

Answer:

By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex].  Therefore,  [tex]f(x)=x^3[/tex]

By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]

From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).

As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.

So the following statements are true:

Please refer to the attached graph of both functions with plotted ordered pairs.

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

    - 1 inch is to 8 feet as 2.5 inches is to 20 feet.

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests:  22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests:  22 × 5 = 110 appetizers served

Difference = total dinner appetizers  - total lunch appetizers

                  = 110 - 66

                  = 44

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

24÷4=6

4×6=24

Hope it helps :))

Hey there!

1/2 lwh = v

lwh = 2v

h = 2v/lw

Formula:

H = 2v / l w

H = 2(266.5ft³)/lw

H = 533/lw

Other length are Missing like length and width

Incomplete question

Answer:

The answer is 8.2, I took the test.

When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths

The algebraic rule  is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

From the question, we understand that:

The scale factor (k) of the dilation is:

k = 4/3

The dilation rule across the origin is represented as:

[tex](x,y) \to k(x,y)[/tex]

Substitute 4/3 for k

[tex](x,y) \to \frac 43(x,y)[/tex]

Expand

[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Read more about dilation at:

brainly.com/question/26332230

f=72°

d=153°

b=27°

a=64°

be careful i started with f

Answer:

a=64

b=27

d=153

f=72

Step-by-step explanation:

a+72+134+90=360(sum of the angles around a point is 360)

a+296=360

a=360-296

a=64

b=27(vertically opposite angles are equal in magnitude)

27+b+d+e=360(sum of the angles around a point is 360)

d=e (vertically opposite angles are equal in magnitude)

Therefore,

27+27+2d=360

54+2d=360

2d=360-54

2d= 306

d= 306÷2

d= 153

108+f=180(sum of the adjacent angles on a straight line is 180)

f=180-108

f=72

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

16 1/4 divided 3 1/4

Answer:

(-4, -2)

Step-by-step explanation:

x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)

The coordinates of C from the given graph are (-4, -2).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of A = (-4, 1)

The coordinates of B = (3, -2)

Now,

Point C has me same x-coordinate as point A and the same y-coordinate as point B

So,

The coordinates of C = -4, -2)

Thus,

The coordinates of C from the given graph are (-4, -2).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Answer:

[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]

Step-by-step explanation:

Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].

Answer:

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

Step-by-step explanation:

Pet peeve of mine: let's call it [tex]p_r[/tex]  (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].

Old man yelling at clouds moment gone, we know that the number of people gets halved every time so

At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]

At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]

At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]

At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]

...

At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]

...

At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.

That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

1/2 bxh

1/2 30 x 12

15 x12

=12

Using the Poisson distribution, it is found that the probabilities are given by:

a) 0.1009 = 10.09%.

b) 0.8262 = 82.62%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

Item a:

The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:

[tex]\mu = 1.5 \times 7 = 10.5[/tex]

The probability of exactly 8 customers is of P(X = 8), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]

Item b:

Probability of at least one patient in 15 minutes, hence:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

For 15 minutes, the mean is given by:

[tex]\mu = 0.25 \times 7 = 1.75[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

Answer:

95/351

Step-by-step explanation:

the first thing you must do is to add 140 and 94 and 22 together

you get 256

then you subtract 351 with 256 and get 95

and then you do this

95/351

Answer:

sin M = [tex]\frac{12}{13}[/tex], tan M = [tex]\frac{12}{5}[/tex], cos M = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

The sine of an angle is equal to [tex]\frac{opposite}{hypotenuse}[/tex].  The opposite (opposite from the angle) side is 12 and the hypotenuse is 13.

The tangent of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex].  The opposite side is 12 and the adjacent (next to the angle) side is 5.

The cosine of an angle is equal to [tex]\frac{adjacent}{hypotenuse}[/tex].  The adjacent (next to the angle) side is 5 and the hypotenuse is 13.

Answer: The answer is -15/7

Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.

HOPE THIS HELPED!

Answer:

-1 1/7 :)

Step-by-step explanation:

[tex]-\frac{5}{7}[/tex] x 3

[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]

[tex]-\frac{15}{7}[/tex]

Now lest simplify it!!

-1 [tex]\frac{1}{7}[/tex]

Hope this helps!!

Have a great day!!

Please rate and mark brainliest!!

Answer:

36 feet

Step-by-step explanation:

Hello!

Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]

That means the equations is 144 = 0.5(8 * h)

Solve:

The height is 36, but since the units are feet, it is 36 feet.

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

Here,

To calculate :

We have :

Putting the values in formula :

[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]

Henceforth,