On a six-sided number cube, what is the probability that you will roll a number less than 4?

The batting averages for seven baseball players are listed below. 0.176, 0.235, 0.272, 0.158, 0.201, 0.255, 0.303 What is the in

bonufazy [111]

Answer:

Interquartile Range= 0.079.

Step-by-step explanation:

Given,

The batting averages for seven baseball players are

0.176, 0.235, 0.272, 0.158, 0.201, 0.255, 0.303

First we have arrange the data in descending order or ascending order.

The ascending order of the data is

0.158, 0.176, 0.201, 0.235, 0.255, 0.272, 0.303

Median: The middle term of the data is the median of the data.

Here

Median = 0.235

First quartile: The median of the lower half of data.

The lower half of the data is 0.158, 0.176, 0.201

$Q_1=0.176$

Third quartile: The median of the upper half of data.

The upper half of the data is 0.201, 0.255, 0.303

$Q_3=0.255$

Interquartile: The difference between first quartile and third quartile.

Interquartile Range = $Q_3-Q_1$

=(0.255- 0.176)

=0.079

8 0

3 years ago

Charlene has four -0.5 cards. What is the total value of her cards?

e-lub [12.9K]

Answer:

-2

Step-by-step explanation:

4 × -0.5 = -2

5 0

3 years ago

Question 134 (plz help) (ps I luv u)

stiv31 [10]

Answer:

<B = 108 degrees

Step-by-step explanation:

<A = (Alternate Angles are congruent)

So,

6x+18 = x+93

=> 6x-x = 93-18

=> 5x = 75

Dividing both sides by 5

=> x = 15

Now,

<B = x+93

=> <B = 15+93

=> <B = 108 degrees

6 0

3 years ago

Change 25/6 to mixed fraction

alex41 [277]

Answer:

$4\frac{1}{6}$

Step-by-step explanation:

To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is $4\frac{1}{6}$ .

5 0

3 years ago

Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t

katrin2010 [14]

Answer:

$\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24$

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of $\triangle ACD$ and the hypotenuse of $\triangle ADB$ .

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

$\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}$

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is $\angle CAD$ . The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

$\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}$

Now use this value in the Law of Sines to find AD:

$\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}$

Recall that $\sin 45^{\circ}=\frac{\sqrt{2}}{2}$ and $\sin 60^{\circ}=\frac{\sqrt{3}}{2}$ :

$AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}$

Now that we have the length of AD, we can find the length of AB. The right triangle $\triangle ADB$ is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio $x:x\sqrt{3}:2x$ , where $x$ is the side opposite to the 30 degree angle and $2x$ is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent $2x$ in this ratio and since AB is the side opposite to the 30 degree angle, it must represent $x$ in this ratio (Derive from basic trig for a right triangle and $\sin 30^{\circ}=\frac{1}{2}$ ).

Therefore, AB must be exactly half of AD:

$AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24$

3 0

3 years ago

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