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Orlov [11]
3 years ago
6

Y=x-3 determine the slope

Mathematics
1 answer:
Anettt [7]3 years ago
7 0
It is the answer M: 1
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Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan
lord [1]

Answer:

Sin = -5/13

Cos = 12/13

Tan = -5/12

Step-by-step explanation:

5 0
3 years ago
A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than
Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

                               Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

            n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( \hat p \leq 70%)

       P( \hat p \leq 70%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } } ) = P(Z \leq -1.07) = 1 - P(Z < 1.07)

                                                                       = 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0
3 years ago
What is 676,547 rounded to the nearest ten thousand?
alisha [4.7K]
680,000 is the answer
3 0
2 years ago
Read 2 more answers
A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length
Soloha48 [4]
Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm² 
a = 169.74cm

The height of the tent is 169.74 centimeters. 

6 0
2 years ago
X + 8 &lt; 10<br><br> Please help
taurus [48]

In this question, you're solving the inequality by solving for x.

Solve for x:

x + 8 < 10

<em>subtract 8 from both sides</em>

x < 2

Answer:

x < 2

8 0
3 years ago
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