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3 years ago

We either walk 5 miles/day or ride a bike 10 miles/day. How many days will it take to cover a distance of at least 150 miles?

Mathematics

1 answer:

g100num [7]3 years ago

5 0

Answer:

30 for walking, 15 for biking

Step-by-step explanation:

150 divided by 5

150 divided by 10

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For what values of x is the quantity x−9 negative?

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X - 9 < 0
add 9 to both sides:-
x - 9 + 9 < 9
x < 9

x - 9 is negative for all values of x less that 9.

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Y+12=y-20 Solve for y

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Simplify pls with steps 2⁵ x 3⁴ x 5 / 3 x 16

Irina-Kira [14]

2^5 x 3^4 x 5 /3 x 16

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3 years ago

It is possible to get 2 solutions when the system of equations is: (check all that apply)

SVETLANKA909090 [29]

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as $x^2+ y^2 = 1$ ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

$x^2 + x^2 = 1\\2x^2 = 1\\$

$x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$ so Y = $+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$

so the two solution are ( $(\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }$ )

A system of the equation of a parabola and a linear equation

Let equation of Parabola be $y^2 = x$

and linear equation y = x

substitute

$x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1$

Y = 0,1

so the two solutions will be (0,0) and (1,1)

3 0

3 years ago

Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health i

telo118 [61]

Answer:

Step-by-step explanation:

a. The hypothesis of testing are

Null Hypothesis, H0: The health insurance coverage is independent of the size of the company.

Alternative hypothesis, H1: The health insurance coverage is not independent of the size of the company

The test statistics is calculated as

X² = ∑(Ei - Oi)² ≅X²(r-1)(c-1)

i Ei

where Oi's are the observed values and Ei's are the expected values,

E= row total × column total

total

The expected values are

Sizeof the Company

Health Insurance Small Medium Large Total

Yes 42 63 84 189

No 8 12 16 36

Total 50 75 100 225

Therefore, the test statistics is

X² =∑ (Ei -Oi)² =6.94 ≅ x²₂

i Ei

The critical value is found to be 5.99. Since test statistics > critical value, we reject H0 and conclude that the health insurance coverage is not independent of the size of the company.

The associated p-value is 0.031 (<0.05).

b. Percentage of employees lacking health insurance coverage is

Small 14/50 x 100 = 28%

Medium 10/75 x 100 = 13%

Large 12/100 x 100 = 12%

Hence depending on the above percentage, we can support the claim that the employees of small companies are more likely to lack health insurance coverage.

8 0

3 years ago