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3 years ago

(Please answer fast)

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

we will first calculate the cost of each month, then for each day and then for each period and then for each minute.

cost per month = 10750/10 = 1075

considering each month has 30 days

cost for each day = 1075/30 =

cost for each period = 1075/(30×7)

cost for each minute = 1075/(30×7×45)

=$ 0.11375

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According to the National Education Association (NEA), teachers generally spend more than hours each week working on instruction

VladimirAG [237]

Answer/Step-by-step explanation:

=>Given the no. of hrs a sample of high school Science and English Teachers spend on instructional duties weekly as follows:

Science teachers: 53 56 54 54 55 58 49 61 54 54 52 53 54

English teachers: 52 47 50 46 47 48 49 46 55 44 47

=>Required:

a. Median number of hours worked by Science teachers weekly:

First step to take is to arrange our given data in ascending order as follows =>

49, 52, 53, 53, 54, 54, (54), 54, 54, 55, 56, 58, 61

Next is to find our median which is the the middle value of our data point = 54

b. Median number of hours worked by English teachers weekly:

First, order the data given as follows =>

44, 46, 46, 47, 47, (47), 48, 49, 50, 52, 55

Next is to find the middle data point = 47

C. The group with the highest median number of hours is Science Teachers = 54 hours per week

The difference in the median number of hours worked per week between both groups = 54 - 47 = 7hours

4 0

3 years ago

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’

cupoosta [38]

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

The correct question is

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

$d^2=x^{2}+y^{2}$

we have

$d=13\ in$

$13^2=x^{2}+y^{2}$

$169=x^{2}+y^{2}$ ----> equation A

$x=y+7$ ---> equation B

substitute equation B in equation A

$169=(y+7)^{2}+y^{2}$

solve for y

$169=y^2+14y+49+y^{2}$

$2y^2+14y+49-169=0$

$2y^2+14y-120=0$

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

5 0

3 years ago

The original price of a jacket is $130. The discount is 40%. Find the sale price.

lisov135 [29]

Answer:

78$

Step-by-step explanation:

lol. ijayabuahysbwush

5 0

3 years ago

Read 2 more answers

It’s been found that 85% of American adults suffer from triskaidekaphobia (fear of the number 13). Researchers think this is too

uysha [10]

Answer:

Null Hypothesis, $H_0$ : p $\leq$ 85%

Alternate Hypothesis, $H_A$ : p > 85%

Step-by-step explanation:

We are given that it's been found that 85% of American adults suffer from triskaidekaphobia (fear of the number 13).

A USA Today/Gallup poll asked 1,006 randomly selected people 18 years old and older in telephone interviews "Suppose you checked into a hotel and were given a room on the thirteenth floor. Would this bother you or not?" 87% of the survey respondents answered they would be bothered.

Let p = proportion of respondents who would be bothered about given a room on the thirteenth floor

SO, Null Hypothesis, $H_0$ : p $\leq$ 85%

Alternate Hypothesis, $H_A$ : p > 85%

Here, null hypothesis states that the proportion of respondents who would be bothered about given a room on the thirteenth floor is less than or equal to 85%.

On the other hand, alternate hypothesis states that the proportion of respondents who would be bothered about given a room on the thirteenth floor is more than 85%.

Hence, this would be the correct null and alternative hypothesis.

6 0

3 years ago

A town with a population of 600 need a team of 10 firefighters. How many firefighters are needed for a town with 1500 people?

Rasek [7]

Answer:

A town with 600 people need 10 firefighters

A town with 1500 people will need 1500 x 10/600 = 1500/60

= 25 firefighters

Hope this helps!

5 0

4 years ago