Answer:
The function f(x)= –StartRoot negative x EndRoot is shown on the graph.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).
Step-by-step explanation:
The range of the graph is all real numbers greater than or equal to 0.
Answer:
Option C
x²+ 2x -24=0
x²+6x-4x-24= 0
x(x+6) -4(x+6) = 0
(x+6)(x-4) = 0
x= -6 and 4
Therefore, for x = 4 and -6 , the above given equation is true.
Answer:
Liam earns $9.375 per hour
Step-by-step explanation:
<em>The given information is</em>
- Lima earns $7.50 per hour
- His benefits package is 25% of his hourly wages
We need to find his hourly wages when his benefits package is included
Assume that he earns 100% per hour
∵ He earns 100% per hour
∵ His benefits package is 25% of his hourly wages
→ Add 25% to 100% to find his total hourly wages
∴ He will earn = 100% + 25% = 125% of his hourly wage
→ Find the value of 125% of his hourly earn
∵ 125% of 7.50 =
× 7.50 = 9.375
∴ His hourly earns = $9.375
Liam earns $9.375 per hour
Answer:
Step-by-step explanation:
Hello!
To test if boys are better in math classes than girls two random samples were taken:
Sample 1
X₁: score of a boy in calculus
n₁= 15
X[bar]₁= 82.3%
S₁= 5.6%
Sample 2
X₂: Score in the calculus of a girl
n₂= 12
X[bar]₂= 81.2%
S₂= 6.7%
To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.
To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.
Then you can calculate the interval as:
[(X[bar]_1-X[bar_2) ±
*
]


[(82.3-81.2) ± 1.708* (6.11*
]
[-2.94; 5.14]
Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.
I hope this helps!
Answer:
He should plan to stop in Springfield.
Step-by-step explanation:
Gilmore is 26 miles away half of that is 13
the closest town to 13 miles is Springfield