55% of the 880 students at julian's school are male. How many male students are in julian's school?

A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years a

Fudgin [204]

Answer:

See explanation below.

Step-by-step explanation:

Let's take P as the proportion of new candidates between 30 years and 50 years

A) The null and alternative hypotheses:

H0 : p = 0.5

H1: p < 0.5

b) Type I error, is an error whereby the null hypothesis, H0 is rejected although it is true. Here, the type I error will be to conclude that there was age discrimination in the hiring process, whereas it was fair and random.

ie, H0: p = 0.5, then H0 is rejected.

7 0

2 years ago

Which equation can be used to solve for b? Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 30 degrees.

FinnZ [79.3K]

Answer: We should use the correct formula for tan α (which is opposite

leg over adjacent leg) tan α = 5/b

Step-by-step explanation:

See attached file

We must use the for equation of tan α = BC/AC

tan α = BC/ b tan α = 5/b tan 30⁰ = 1/√3

b = 5/√3 ⇒ b = 5/1.7320

b = 2.8868 cm

4 0

2 years ago

Read 2 more answers

* 6. You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a day.

Anni [7]

Answer:

$f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.$

Step-by-step explanation:

Let x be the number of days you want to rent

The flat rate for car rental is $35 a day

As for insurance, $10 for 3 days or fewer, and $5 per day if more than 3 days that is

$\left \{ {{10, x \leq 3} \atop {5x, x>3}} \right.$

Combine this with the flat rental rate $35 a day and we have

$f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.$

7 0

2 years ago

At a restaurant, when a customer buys four pretzels the fifth pretzel is free. soft pretzels cost $3.90 each. you ordered 12 sof

elixir [45]

Answer:

($3.90)(12) - (2)($3.90) = 39.00

39.00/12 = 3.25 per pretzel

Step-by-step explanation:

3 0

1 year ago

A karate center has 120 students. The director wants to set a goal to motivate her instructors to increase student enrollment. U

iVinArrow [24]

A) Plan A requires for a percentage increase of a number of students. This means that year after year the number of new students will increase. Plan B requires for a constant number of new students each year. This means that year after year the percentage increase would get smaller.

B) To solve this problem we will use formula for a growth of population:
$final = initial * (1+percentage)^{t}$
Where:
final = final number of students
initial = initial number of students
percentage = requested percentage increase
t = number of years

We can insert numbers and solve for t:
$240= 120* (1+0.12)^{t} \\ 2=1.12^{t} \\ log2=log(1.12^{t} ) \\ log2=t*log1.12 \\ t= \frac{log2}{log1.12} \\ t=6.12years$

For Plan B we can use simple formula
increase = 120
increase per year = 20
number of years = increase / (increase per year) = 120 / 20 = 6 years

Plan B is better to double the <span>enrollment.

C)We use same steps as in B) to solve this.
</span>

$360= 120* (1+0.12)^{t} \\ 3=1.12^{t} \\ log3=log(1.12^{t} ) \\ log3=t*log1.12 \\ t= \frac{log3}{log1.12} \\ t=9.69years$

For Plan B we can use simple formula
increase = 240
increase per year = 20
number of years = increase / (increase per year) = 240 / 20 = 12 years

Plan A is better to triple the enrollment.

3 0

2 years ago