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harkovskaia [24]
3 years ago
10

Chris's new car gets 42 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0

Answer:

y = 42x

Step-by-step explanation:

42 miles times however many gallons of gas (x)  will get you the total miles driven (y)

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Determine the degree of the given polynomial x^2 ( 1 - x^3)
Ray Of Light [21]

Answer:

\huge\boxed{\bf\:5}

Step-by-step explanation:

Polynomial = x^{2} (1 - x^{3}).

Before determining the degree of the polynomial, let's open the parentheses using the distributive property .

x^{2} (1 - x^{3})\\=\underline {x^{2} - x^{5}}

Degree is the highest exponential power in a polynomial  .

So, the degree of the given polynomial is 5.

\rule{150pt}{2pt}

4 0
2 years ago
Consider the relationship between monthly electricity bill for a household during the summer and average high ambient temperatur
grigory [225]

Answer: True

Step-by-step explanation:

a variable (often denoted by y ) whose value depends on that of another. The temperature is depending on the electricity bill

7 0
3 years ago
Brand name producers of aspirin claim that one advantage of their aspirin over generic aspirin is that brand name aspirin is muc
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

The claim here is that the brand name aspirin is more consistent in the amount of active ingredient used than the generic aspirin.

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean amount of active ingredients in brand name aspirin and μ2 be the mean amount of active ingredients in generic name aspirin

The random variable is μ1 - μ2 = difference in the mean amount of active ingredients between the brand name and generic aspirin

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≥ μ2 H0 : μ1 - μ2 ≥ 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 325.01

x2 = 323.47

s1 = 10.12

s2 = 11.43

n1 = 200

n2 = 180

t = (325.01 - 323.47)/√(10.12²/200 + 11.43²/180)

t = 1.24

1.237877

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [10.12²/200 + 11.43²/180]²/[(1/200 - 1)(10.12²/200)² + (1/180 - 1)(11.43²/180)²] = 1.53233946713/0.00537245359

df = 285

We would determine the probability value from the t test calculator. It becomes

p value = 0.108

Since alpha, 0.025 < than the p value, 0.108, then we would fail to reject the null hypothesis. Therefore, at 2.5% level of significance, these data support the brand name producers claim

5 0
3 years ago
Of the pizzas recently sold at Pizza Pies, 6 had pepperoni and 26 did not. Considering this data, how many of the next 16 pizzas
kondaur [170]

Answer:

8 pizzas

Step-by-step explanation:

3 0
2 years ago
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What are the solutions to the quadratic equation 5x2 – 8= –12x?
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