Answer:
Inequality Form: m<7/3
Interval Notation: -∞, 7/3
She would have to work at least 12 hours.
At Chili’s, she would be paid 11.75x + 33 per week, with x being the number of hours she worked.
At the Cheesecake Factory, Giselle would be paid 14.50x per week, with x being how many hours she worked.
We want to know how many hours Gisele would have to work for her pay at the Cheesecake Factory to be more than her pay at Chili’s
The inequality 11.75x + 33 < 14.50x is what has to be set up to solve the problem. At how many hours will the pay on the left be less than the pay on the right?
11.75x + 33 < 14.50x
33 < 2.75x
12 < x
So Giselle has to work greater 12 hours a week for her to make more money at the Cheesecake Factory.
<em>Greetings from Brasil...</em>
In function F(X) = X², if we replace X with X + 4 we will have exactly function G(X) = (X + 4)²
So, just replace X for X + 4..... This will be responsible for translating 4 units to the left, because:
F(X) = X²
F(X + 4) = (X + 4)²
F(X + 4) ⇔ F(X + k) <em> see below</em>
We know that the translations are established as follows:
→ Horizontal
F(X + k) ⇒ k units to the left
F(X - k) ⇒ k units to the right
<em>see more:</em>
<em>brainly.com/question/17163323</em>
Answer:
60 students
Step-by-step explanation:
The confidence interval of a proportion is given by:
Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.
If the confidence interval is from 0.584 to 0.816, then:
60 students were in the sample.
Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
