Transpose all the terms in the left hand side of the equation. The equation then becomes,
8x² - 22x - 6 =0
Divide both sides of the equation by 2,
4x² - 11x - 3 = 0
In this equation, A = 4, B = -11, and C = -3
With the variables identified, the quadratic equation can be used to identify the roots,
x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
<em> x = 3 and x = -1/4
</em><em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
</em>
Let x be the earnings/hour at the movie theater.
y be the earnings/hour at the pet store
Systems of equations:
$152.50 = 10x + 8y
$171 = 8x + 10y
Solving for x and y:
x = $4.36/ hour in the movie theater
y = $13.61/ hour in the pet store.<span />
Answer: Fraction= 3 3/4kg
Decimal= 3.75kg
Step-by-step explanation:
15 kilograms of rice are separated equally into 4 containers. To get the number of kilograms of rice are in each container, we divide the total kilograms of rice by the number of containers. This will be:
Kilograms of rice in each container=
15/4 =3 3/4kg as a fraction.
To convert the fraction to decimal, we divide 3 by 4 and add to 3. 3/4 equals 0.75. We then add 3 to 0.75. This will be:
Decimal of 3 3/4 = 3+0.75 = 3.75kg
Answer:
Step-by-step explanation:
Hypotheses:
(Left tailed test)
p = sample proportion
n = sample size = 200
Sample proportion = p = 73/200 = 0.365
Std error = 0.03404
p difference = 0.365-0.39 = 0.025
t = 0.025/se = 0.7344
df = 199
p value = 0.2317
Since p >0.05 accept null hypothesis
No,the veterinarian does not have a right to be skeptical because there is no statistical evidence to support his claim.
