Identify the point (x1, y1) from the equation: y – 9 = 3(x + 2) (–2, 9) (9, –2) (2, –9) (

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000

valina [46]

Answer: 61,750 miles

Step-by-step explanation:

Given : The p-value of the tires to outlast the warranty = 0.96

The probability that corresponds to 0.96 from a Normal distribution table is 1.75.

Mean : $\mu=60,000\text{ miles}$

Standard deviation : $\sigma=1000\text{ miles}$

The formula for z-score is given by : -

$z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.75=\dfrac{x-60000}{1000}\\\\\Rightarrow\ x-60000=1750\\\\\Rightarrow\ x=61750$

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.

3 0

3 years ago

A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What

ivann1987 [24]

Step-by-step explanation:

We have to find the measures of other two angles of triangle.

$\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}$

We know that,

The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

$\rule{200}{3}$

$\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}$

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

$\rule{200}{3}$

Second AnglE :

3x
3 × 10
30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

$\rule{200}{3}$

Third AnglE :

14x
14 × 10
140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0

2 years ago

a cone has a volume of 1230.88 units cubed and a diameter of 14 units what is the height of the cone use 3.14 for pi

ANEK [815]

Answer:

h= 24

Step-by-step explanation:

$v = \pi {r}^{2} \frac{h}{3}$

$r = \frac{d}{2}$

$r = \frac{14}{2}$

r= 7

1230.88=3.14×7^2×h/3

1230.88= 153.86h/3

h=1230.88/153.86

h= 24

7 0

2 years ago

On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yod

STatiana [176]

Answer:

It would be <u>97.50</u> square deckles.

Step-by-step explanation:

Given:

On the distant plant, Mathology, a sports area covers 7400 yodels².

1 deckle = 75.9 yodels.

Now, to get the square deckles.

As given, 1 deckle = 75.9 yodels.

So, to get the square deckles by using conversion factor:

<em>75.9 yodels = 1 deckle.</em>

7400 yodels² = $7400\div 75.9$

= $97.50\ deckels ^2.$

Therefore, it would be 97.50 square deckles.

8 0

3 years ago

Which one is correct?

larisa86 [58]

Answer:

c is the answer

Step-by-step explanation:

4 0

2 years ago

Identify the point (x1, y1) from the equation: y – 9 = 3(x + 2) (–2, 9) (9, –2) (2, –9) (–8, 2)