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lina2011 [118]
3 years ago
10

Find sec 0is my answer correct? if not what's the right answer ​

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

Option(1)

Step-by-step explanation:

By applying secant rule in the given right triangle,

secθ = \frac{\text{Hypotenuse}}{\text{Adjacent side}}

From the picture attached,

Opposite side of angle θ = 5 units

By applying Pythagoras theorem,

(Hypotenuse)² = (leg 1)² + (leg 2)²

                        = (10)² + 5²

                        = 125

Hypotenuse = √125

                     = 5√5

Now substitute these values in the expression of secθ,

secθ = \frac{5\sqrt{5}}{5}

secθ = √5

Option (1) is the correct option.

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Marques is a waiter at a restaurant. Each day he works, Marques will make a
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Answer:

Step-by-step explanation:

25- guaranteed

$14 on each table waited on

He waited on 17.

17x14= $238 tips

238+25= $263

1. Marques expects to earn $263 on 17 tables

2. He expects to make 25+14t per day.

5 0
2 years ago
7. Cindy is paid $7.00 an hour for a regular 35-hour week. She receives overtime pay
Sergio [31]

Answer:$1 she’s poor

Step-by-step explanation:

3 0
3 years ago
A spinner is divided into 10 equal sections numbered 1 through 10. If the arrow is spun once, what is the probability it will la
yarga [219]
The correct answer is A) 2/5

That is because the probability of it is equal to the number of numbers larger than 6 divided by 10, which is 4/10, or 2/5 when reduced.
4 0
3 years ago
Suppose a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg,
lianna [129]

Answer:

(a) Probability that Y falls into the dangerous region is 0.0013.

(b) Probability that the mean Y-bar falls into the dangerous region is 0.00001.

Step-by-step explanation:

We are given that a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg, σ = 1 mg).

A dosage of 13 mg is considered dangerous.

Let Y = <u><em>dosage of the active ingredient </em></u>

The z-score probability distribution for normal distribution is given by;

                                 Z  =  \frac{ Y-\mu}{\sigma} } }  ~ N(0,1)

where, \mu = population mean = 10 mg

            \sigma = standard deviation = 1 mg

(a) Probability that Y falls into the dangerous region is given by = P(Y \geq 13 mg)

       P(Y \geq 13 mg) = P( \frac{ Y-\mu}{\sigma} } } \geq \frac{ 13-10}{1} } } ) = P(Z \geq 3) = 1 - P(Z < 3)  

                                                          = 1 - 0.9987 = <u>0.0013</u>

The above probability is calculated by looking at the value of x = 3 in the z table which has an area of 0.9987.

(b) We are given that a dosage of 13 mg is considered dangerous. And we sample 49 capsules at random.

Let \bar Y = sample mean dosage

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

                                 Z  =  \frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } }  ~ N(0,1)

where, \mu = population mean = 10 mg

            \sigma = standard deviation = 1 mg

            n = sample of capsules = 49

So, Probability that the mean Y-bar falls into the dangerous region is given by = P(\bar Y \geq 13 mg)

          P(Y \geq 13 mg) = P( \frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } } \geq \frac{13-10}{\frac{1}{\sqrt{49} } } } } ) = P(Z \geq 21) = 1 - P(Z < 21)  

                                                             = <u>0.00001</u>

6 0
3 years ago
Sample results
stich3 [128]
D is the correct answer. To find this, take the total number, 25 and multiply it by 19% to get 21, which is the number of hard copies.
5 0
3 years ago
Read 2 more answers
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