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exis [7]
3 years ago
12

4. (07.04 MC)

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:

11779 ft

Step-by-step explanation:

We are given that

\theta=23^{\circ}

Distance between tower and plane,d=5000 ft

We have to find the distance between the plane and bird.

Let x  be the distance between bird and plane

We know that

tan\theta=\frac{perpendicular\;side}{Base}

Using the formula

tan23=\frac{5000}{x}

x=\frac{5000}{tan23}=11779.3 \approx 11779ft

Hence, the distance between the plane and bird=11779 ft

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When Riley goes bowling, her scores are normally distributed with a mean of 160 and
e-lub [12.9K]

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

160 + 13 = 173.

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

6 0
2 years ago
a zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group. What
elena-14-01-66 [18.8K]

The largest group that can go to the zoo is 23 members

Step-by-step explanation:

The given is:

  • A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
  • We need to find the largest group that can go to the zoo and spend less than $155 on admission

Assume that the number of members in the group is x

∵ There are x members in the group

∵ The zoo charges an admission price of $85 for the first 12

   members of a group and $6 for each additional member

   of the group

- Take 12 members from x and multiply the rest members by

   6 and then add 85 to the product

∴ The group will spend = 6(x - 12) + 85

∵ The group wants to spend less than 155 to go to the zoo

- use the symbol < between the expression above and 155

∴ 6(x - 12) + 85 < 155

- Simplify the left hand side

∴ 6x - 72 + 85 < 155

- Add like terms in the left hand side

∴ 6x + 13 < 155

- Subtract 13 from both sides

∴ 6x < 142

- Divide both sides by 6

∴ x < 23.67

- Take the largest integer less than 23.67

∵ 23 is the largest integer less than 23.67

∴ The group has 23 members

The largest group that can go to the zoo is 23 members

Learn more:

You can learn more about the inequalities in brainly.com/question/1465430

#LearnwithBrainly

6 0
2 years ago
The value of x is ?
allsm [11]
Answer: X = 42

Steps:
(3x + 12) + x = 180
3x + 12 + x = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168/4
x = 42

Check:
(3x + 12) + x = 180
3x + 12 + x = 180
3(42) + 12 + 42 = 180
126 + 12 + 42 = 180
180 = 180 ✅

I would appreciate the brainliest if this was correct and had helpful & clear steps! :)
5 0
2 years ago
1. Mr. Jaime Go is building an additional cylindrical aquarium to add more
lianna [129]

Answer:

v=pi * rayon² * h

v= 3.14 * 3² *4

v= 3.14 * 9 * 4

v= 113.04

3 0
3 years ago
Y = 3 ( x - 2 )^2 + 5 in standard form
Vlad [161]

Answer:

y=3x^2-12x+17

Step-by-step explanation:

That's what i got

8 0
2 years ago
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