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3 years ago

35 points!

Mathematics

2 answers:

kifflom [539]3 years ago

3 0

Answer:

Step-by-step explanation:

Im sure because my sister got the same question on a test and she put 22 and got it right

lions [1.4K]3 years ago

3 0

Answer:

110

Step-by-step explanation:

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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The

Nikolay [14]

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of $77^{\circ}$ the ground.

<h3>What is the sin ratio?</h3>

$sin(\theta)=\frac{perpendicular \ side}{hypotenous}$

Therefore we get,

$\implies\frac{22}{H} =sin(77)$

$\implies H=22/sin(77)$

$\implies 22.59ft\\\\=23ft$

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

To learn more about the trigonometric ratio visit:

brainly.com/question/24349828

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7 0

2 years ago

Twenty-four students brought their permission slips to attend the class field trip to the local art museum. If this represented

lukranit [14]

If 24 students went on a field trip, and 24 students represented eight tenths of the class, then $24 = \frac{8}{10}x$ .
First, multiply by 10 on both sides.
240 = 8x
Divide by 8 on both sides.
x = 30.

The class has 30 students in all.
This is, however, only the equation way to solve.

7 0

3 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

3 years ago

The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a s

s2008m [1.1K]

Im pretty sure it’s All students in each grade because it says she wants the sample from the ^entire^school

7 0

3 years ago

Read 2 more answers

Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1.

sdas [7]

The radical equation is $\sqrt{x+6}-5=x+1$ .

i) We first isolate the square root, adding 5 to both sides of the equation:

$\sqrt{x+6}=x+6.$

ii) Here let's substitute x+6 with t. Doing so we have:

    $\sqrt{t}=t.$

Squaring both sides, we get:

$t=t^2$

iii) Collecting the variables on the same side, and factorizing t we have:

    $t(t-1)=0$ , which yields

t=0 or t=1.

Now we solve for x in x+6=t:

x+6=0 ⇒x=-6 and x+6=1⇒x=-5.

iv) Now we check these values in the original equation   $\sqrt{x+6}=x+6$ :

a) $\sqrt{-6+6}=-6+6.$ ⇒ 0=0 ; Correct.

b) $\sqrt{-5+6}=-5+6.$ ⇒ 1=1 ; Correct.

Answer: <span>x = −6 and x = −5 </span>

5 0

3 years ago

Read 2 more answers