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3 years ago

The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.

1 answer:

4 0

x - y = 16
x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = 13.892 (3DP)
----
x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108

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Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

A square has a diagonal of 44in. I want to frame the picture, how many inches of frame do I need

dimaraw [331]

The square has a 44-inch diagonal.

The pythagorean equation must be used to obtain the hand.

Diagonal (d) ^ 2 = side^2 + side ^ 2

Diagonal (d) ^ 2 = 2side (s)^2

d^2 = 2s^2

44^2 = 2s^2

1936 = 2s^2

2s^2 = 1936

s^2 = 968

s = 31.11 inches

The length of the side is around 31 inches

Perimeter = 4*s

Perimeter = 4 * 31

Perimeter = 124 inches

As a result, you will need a total of 124 inches to frame the rectangle.

Hope this helps you!!

8 0

3 years ago

Mark and Robyn used base- ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense? Whose model is nonsens

Dima020 [189]

Answer:

Robyn model makes more sense and Marks is nonsense.

Step-by-step explanation:

In this question ,calculations not required .All we have to do is consider each model logically .

Marks

Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.

Robyn

Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200

8 0

3 years ago

The graph shows the relationship between the number of months different students practiced tennis and the number of matches they

Andrew [12]

Answer:

1 is 3 and 2 is y 2/1x

Step-by-step explanation:

if you do not understand 2 then here is a explanation you find slope so take any two point then go over then up the amount over is on the bottom and the amount up on top then simplify if needed

3 0

3 years ago

Sammy had $3000 and lost $150 per day gambling. iso-

bagirrra123 [75]

Answer:

sammy would run out of money in 20 days if that 's the answer your looking for

Step-by-step explanation:

i don't exactly understand the question but i hope this helps :)

3 0

2 years ago

Read 2 more answers