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Elan Coil
9 days ago
9

class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of

the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is
Mathematics
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Gabi wants to drive to and from the airport. She finds two companies near her that offer short-term car rental service at differ
Inessa [12570]

Answer:

The cost difference per mile between the two companies is $0.12.

Step-by-step explanation:

Gabi formulates the equation 0.22m+7.20=0.1m+8.40 to determine after how many miles, denoted as m, the charges of both companies will be equal.

The first company levies c_1=0.22m+7.20 for m miles traveled.

The second company's charge for the same m miles is c_2=0.1m+8.40.

In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.

The values 0.22 and 0.1 represent the respective costs per mile.

As such, the disparity in per-mile charges amounts to 0.22-0.1=0.12.

An alternative method to tackle this problem is by calculating the per-mile rate for each company:

1. Cost per mile for the first company

c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22

2. Cost per mile for the second company

c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1

3. The difference:

0.22-0.1=0.12

6 0
2 months ago
Point T is the midpoint of RS, W is the midpoint of RT, and Z is the midpoint of WS. If the length of TZ is x, find the lengths
PIT_PIT [12445]

Let RS be denoted as y.

Given that T is the midpoint of RS, this results in RT = TS = \frac{y}{2}

And W acting as the midpoint of RT, leads to

thus RW = WT = \frac{\frac{y}{2} }{2} = \frac{y}{4}

Given that Z is the midpoint of WS.

Meaning WZ = ZS = \frac{WS}{2} = \frac{WT+TS}{2} = \frac{(\frac{y}{4} +\frac{y}{2} )}{2} =\frac{3y}{8}

Consequently, TZ = TS - ZS = \frac{y}{2} -\frac{3y}{8} = \frac{4y-3y}{8} = \frac{y}{8}

However, TZ is defined as x.

Thus, \frac{y}{8} = x

y = 8x = RS.

A) Length of RW = \frac{y}{4} = \frac{8x}{4} = 2x

B) Length of WZ = \frac{3y}{8} =\frac{3*8x}{8} = 3x

C) Length of RS = y = 8x

D) Length of ZS = WZ = 3x.

An image is provided for clarification.

8 0
2 months ago
Which is true regarding the graphed function f(x)?
AnnZ [12381]

Explanation:

Hello! Please remember to formulate complete questions to receive accurate answers. I will assume that the depicted function derives from:

f(x)=\left(x-4\right)^{2}+5

This describes the equation of a parabola that opens upwards, with its vertex positioned at:

V(4,5)

The graph below illustrates this function. What is true about the graphed function f(x)?

  • It is accurate that the domain consists of all real numbers, as this is a polynomial function.

  • It is also correct that the range includes all real numbers where y ≥ 5

  • It is indeed true that this parabola opens upwards

  • It is valid to say it does not intersect the x-axis

6 0
1 month ago
Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of t
Svet_ta [12734]

Answers:

C - The value of w cannot be negative.

D - The variable l is substituted with the value 20.

E - To isolate the variable w, the subtraction property of equality is applied.

~ .

4 0
3 months ago
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