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3 years ago

Anna charges $8.50 an hour to babysit how long will it take to make $51.00

Mathematics

1 answer:

kogti [31]3 years ago

6 0

Answer:

6 hours

Step-by-step explanation:

$51.00 ÷ $8.50 = 6 hours

hope this helps ! :))

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In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37

djyliett [7]

Answer:

More than 50% would germinate

Step-by-step explanation:

Given that in the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated

Let us check whether more than 50% will germinate using hypothesis test

$H_0: p = 0.50\\H_a: p>0.50\\$

(right tailed test)

Sample proportion p = $\frac{37}{60} =0.617\\q = 0.383\\Std error = \sqrt{\frac{pq}{n} } =0.0628$

p difference = 0.117

Test statistic Z = p difference/std error = 1.864

p value =0.0312

Since p value <0.05 our significance level of 5% we reject null hypothesis

It is possible to claim that most of the seed will germinate (i.e. more than 50%)

7 0

3 years ago

Examine the system of equations. −5x + 5y = 40 4x + 3y = 24 What is the solution?

Solnce55 [7]

-5x + 5y = 40 -20x +20y =160 -5x + 5(8) = 40
4x + 3y = 24 20x +15y =120 -5x + 40 = 40
35y = 280 -5x =0
y = 8 x = 0

Hope you understood this

3 0

3 years ago

Read 2 more answers

Use graphing to determine the solution to the system of linear equations

saw5 [17]

D) because a straight line has an infinite solution

3 0

3 years ago

the function y = 80 x (0.5)* models the height of a bouncy ball (in feet) when dropped from a building after * number of bounces

alukav5142 [94]

Answer:

1.25 feet

Step-by-step explanation:

Put 6 where the variable is, then evaluate:

y = 80×(0.5)^6 = 80/64 = 1.25

The height after 6 bounces is 1.25 feet.

6 0

3 years ago

Perpendicular to the line y =6 - 3x; passes through (-3, -1)

madam [21]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

Perpendicular lines

Perpendicular lines have slopes whose product is -1. In other words, to find a line that is perpendicular to a given line, the new line must have a that is the opposite reciprocal of the original line.

Passing through a point
Additionally, if a line contains a point, then the point must be a solution to the equation (meaning, when you plug in the "x" and "y", the equation must be true).

Finding our perpendicular line

Work on slope first

To find the slope of the original line, rewrite the original line in slope-intercept form: $y=mx+b$

$y=6-3x\\y=6+(-3x)\\y=(-3x)+6\\y=-3x+6\\y=-\frac{3}{1}x+6$

In this form, the slope is the number multiplied to the "x", so the original slope is -3/1.

Thus, the slope of the new perpendicular line will be the opposite reciprocal of -3/1 ... which is 1/3.

Writing what we do know about the new perpendicular line, we have $y=\frac{1}{3}x+b$

Making sure it passes through the point
This new line is also supposed to contain the point (-3,-1), so (-3,-1) must be a solution to the equation, for whatever constant-value the "b" is. To find out the "b", substitute the known quantities, and solve:

$-1=\frac{1}{3} (-3)+b\\-1=-1+b\\(-1)+1=(-1+b)+1\\0=b$

Substituting this into our equation:

$y=\frac{1}{3}x+(0)\\y=\frac{1}{3}x$

Conclusion

So, the equation for a line that is perpendicular to the original line $y=6-3x$ , and that also passes through (-3,-1) is $y=\frac{1}{3}x$

6 0

2 years ago