Fire Warden Armband

An elevation of - 12 m is higher than an elevation of -17 m. An elevation of - 17 mis lower than an elevation of -14 m. Which se

hram777 [196]

Given:

An elevation of - 12 m is higher than an elevation of -17 m.

An elevation of - 17 m is lower than an elevation of -14 m.

To find:

The set of inequalities that correctly expresses these relationships.

Solution:

An elevation of - 12 m is higher than an elevation of -17 m.

We know that, higher than means greater than and it is represented by the inequality ">". So,

$-12>-17$

An elevation of - 17 m is lower than an elevation of -14 m.

We know that, lower than means less than and it is represented by the inequality "<". So,

$-17$

Therefore, the required set of inequalities is $-12>-17$ and $-17$ .

Note: The inequality signs are not proper in the options.

5 0

3 years ago

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

faust18 [17]

Answer:

The probability is $P(X \le 70) = 0.9685$

Step-by-step explanation:

From the question we are told that

The mean values is $M_1 = 15 \ minutes , \ M_2 = 30\ minutes, \ M_3 = 20 \ minutes$

The standard deviation is $\sigma_1 = 1 \ minutes , \ \sigma_2 = 2 \ minutes , \ \sigma = 1.5 \ minutes$

Generally the total mean is mathematically represented as

$\= x = \sum M_i$

=> $\= x = 15 + 30 + 20$

=> $\= x = 65$

Generally the total variance is mathematically represented as

$V(x) = \sum \sigma^2_i$

=> $V(x) = 2^2 + 1^2 + 1.5^2$

=> $V(x) = 7.25$

Generally the total standard deviation is mathematically represented as

$\sigma = \sqrt{V(x)}$

=> $\sigma = \sqrt{7.25 }$

=> $\sigma = 2.69$

Generally the probability that it takes at most 70 min of machining time to produce a randomly selected component is mathematically represented as

$P(X \le 70) = 1 - P( X > 70 )$

Here $P(X > 70) = P(\frac{X - \mu }{\sigma} > \frac{70 - 65}{ 2.69} )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P(X > 70) = P(Z > 1.8587 )$

From the z table

The area under the normal curve to the right corresponding to 1.8587 is

$P(Z > 1.8587 ) = 0.031535$

So

$P(X \le 70) = 1 - 0.031535$

=> $P(X \le 70) = 0.9685$

7 0

3 years ago

PLS HELP ME GOD WILL BLESS YOU HELP ME ILL PAY YOU BACK

Lorico [155]

Answer:

3. 152
4. $1479
5. 36 students
6. 30%

Step-by-step explanation:

<h3>Question 3</h3>

<u>Members not using stepper or treadmill:</u>

15%+23%= 38%

38*400/100 = 152

<h3>Question 4</h3>

Amount of loan $24650
Interest rate 2%
Time 2 years

<u>Amount of interest after 2 years:</u>

$24650*2*3/100 = $1479

<h3>Question 5</h3>

Total number of students in the poll is 150

<u>Students choosing tacos and corn dogs:</u>

12% + 12% = 24%

<u>24% in number:</u>

150*24/100 = 36

<u>Note</u>. It says "how many more students" but its not applicable as there is nothing to compare. Consult this with your teacher.

<h3>Question 6</h3>

Normal cost of television = $500

Reduced cost = $350

<u>Cost reduction:</u>

$500 - $350 = $150

<u>Percent reduction:</u>

150/500*100% = 30%

7 0

3 years ago

Kendras car gets 23.6 miles per gallon of gas. if her car has an 18-gallon tank, what is the maximum number of miles she could t

Helen [10]

424.8 gallons because you have to multiply the number of miles per gallon by the amount of gallons that the tank can hold. 23.6 times 18= 424.8

3 0

3 years ago

Factor the trinomial x^2 - 7x + 10

Valentin [98]

Answer:

(x-5) (x-2)

Step-by-step explanation:

x^2 (-2x-5x) +10

basically you will write the equation down and then to double check multiply the x and then the -5 into (x-2). this can be repetitive if you get it wrong so try to do numbers that make sense.

7 0

4 years ago