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Snowcat [4.5K]
3 years ago
11

A man has a wife with six children and

Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

i)10\% \: of \: 8500 \\  =  \frac{1}{10}  \times 8500 \\  = 850 \: was \: his \: tax

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A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel
otez555 [7]

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years

Confidence Interval, CI = 0.99

Therefore,

a = 0.01, |Z(0.005)|  (from standard normal table)

∴ 99% of CI =  $\bar x \pm Z \times \frac{s}{\sqrt n}$

                   $= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$

                    $(10.78483, 12.61517)$

3 0
3 years ago
PLEASE HELP ASAP 9TH GRADE MATH AND I NEED HELP, 15 POINTS AND BRAINLIST HELPPPP
Sunny_sXe [5.5K]

Answer:

x = 40°

Step-by-step explanation:

Given that ∠SRT ≅ ∠STR

Then ∠STR = 20

∠STR  and ∠STU are what you call supplementary angles. This means that the sum of their measurements is equal to 180° because they form a straight line.

So if:

∠STR + ∠STU = 180°

m∠STU = 4x

m∠STR = 20

Then:

4x + 20° = 180°

Now we solve for x:

4x + 20 = 180\\\\Subtract\;20\;from\;both\;sides\;of\;the\;equation\\\\4x + 20 - 20 = 180 - 20\\4x = 160\\\\Divide\;both\;sides\;of\;the\;equation\;by\;4\\\\\dfrac{4x}{4}=\dfrac{160}{4}\\\\x = 40

x = 40°

8 0
3 years ago
A man walking on a railroad bridge is 2/5 of the way along the bridge when he notices a train at a distance approaching at the c
makkiz [27]

Answer:

The Man needs to run at 9 mph

Step-by-step explanation:

Let M stand for the man's speed in mph.  When the man  

runs toward point A, the relative speed of the train with respect  

to the man is the train's speed plus the man's speed (45 + M).  

When he runs toward point B, the relative speed of the train is the  

train's speed minus the man's speed (45 - M).

When he runs toward the train the distance he covers is 2 units.  

When he runs in the direction of the train the distance he covers  

is 3 units. We can now write that the ratio of the relative speed  

of the train when he is running toward point A to the relative speed  

of the train when he is running toward point B, is equal to the  

inverse ratio of the two distance units or

              (45 + M)          3

              -----------  =      ---

              (45 - M)          2

          90+2 M=135-3 M

⇒5 M = 45

⇒ M = 9 mph

The Man needs to run at 9 mph

3 0
3 years ago
Read 2 more answers
Hi what is the anwer for this
IRISSAK [1]

Answer:

2.5cm^2

Step-by-step explanation:

so diameter is basically radius*2...to find radius(since area of circle is pi*r^2 we need to divide diameter by 2)

so 1.8/2=0.9

now,

pi*0.9^2

pi*0.81

2.5 cm^2

4 0
4 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
mrs_skeptik [129]

Answer:

1. f(x) = -2x^2-12x-19

2. f(x)= 2x^2+12x+17

3. f(x)= -2x^2+12x-17

4. f(x)= 2x^2-12x+17

Step-by-step explanation:

Just took the same test. :)

3 0
3 years ago
Read 2 more answers
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