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1 year ago

Solve this equation. Enter your answer in the box. 75 – 3.5y – 4y = 4y + 6

Mathematics

2 answers:

Wewaii [24]1 year ago

5 0

y=6

Step-by-step explanation:

$75 - 3.5y - 4y = 4y + 6$

Collect like terms and simplify

$- 3.5y + 4y - 4y = 6 - 75 \\ - 11.5y = - 69$

Divide both sides of the equation by-3.5

$\frac{ - 11.5y}{ -11.5} = \frac{ - 69}{ - 11.5}$

Simplify

$y = 6$

Elodia [21]1 year ago

4 0

Answer:

y = 6

Step-by-step explanation:

Add like terms: 75 - 7.5y = 4y +6

subtract 6 from both sides: 69 - 7.5y = 4y

add 7.5y to both sides: 69 = 11.5y

divide both sides by 11.5: 6 = y

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In a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979,

Fed [463]

Answer:

we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

Step-by-step explanation:

Given that in a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979, two groups of childless wives aged 25 to 29 were selected at random, and each was asked if she eventually planned to have a child. One group was selected from among wives married less than two years and the other from among wives married five years.

Let X be the group married less than 2 years and Y less than 5 years

X Y Total

Sample size 300 300 600

Favouring 240 288 528

p 0.8 0.96 0.88

$H_0: p_x=p_y\\H_a: p_x>p_y$

p difference = -0.16

Std error for difference = $\sqrt{0.88*0.12/600} =0.01327$

Test statistic = p difference/std error=-6.03

p value <0.000001

Since p is less than alpha 0.05 we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

4 0

2 years ago

Is it possible to form a triangle with side lengths 3.5 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? Or non

Charra [1.4K]

Answer:

It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.

Step-by-step explanation:

Scalene Triangle - All 3 sides have different lengths.

Isosceles Triangle - 2 sides have equal lengths.

Equilateral Triangle - All 3 sides have equal lengths.

You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.

I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!