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marta [7]
2 years ago
15

Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45-minute tours are offered at each

attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time.
In how many ways can the traveler visit all three places in one day?
Select one:
a. 120
b. 60
c. 15
d. 30
Mathematics
1 answer:
ASHA 777 [7]2 years ago
6 0
A.120

Therefore, a traveler visits all three locations in one day in 120 separate ways. So choice A is the answer.
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Patricia can drive 36 kilometers for every 3 liters of gas she puts in her car
Anna35 [415]

Answer:

Patricia will run 132 kilometers with 11 liters of gas.

Step-by-step explanation:

The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.

With 3 liters of gas she drives 36 kilometers.

This means in one liter of gas distance covered by the car = \frac{36}{3}=12 kilometers.

Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = \frac{48}{4}=12 kilometers

Now with 11 liters of gas distance covered by the car will be = 11×12

= 132 kilometers

Therefore, with 11 liters of gas Patricia can run 132 kilometers.

3 0
2 years ago
Read 2 more answers
What is the slope intercept form of (3,3) (7,-1)
kow [346]
Slope intercept form follows this general equation...
y=mx+b
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
m= \frac{y_2-y_1}{x_2-x_1}
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
m=\frac{-1-3}{7-3} =-1
You plug in -1 into your slope formula...
y=-1x+b
Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...
3=-1(3)+b
Just solve for b and you will be done
5 0
2 years ago
A ball is kicked 4 feet above the ground with an initial vertical velocity of 51 feet per second. The function h(t)=−16t2+51t+4
Katyanochek1 [597]

Check the first picture below.

now, the exercise states to get it from the graph, so we have to graph it first.

Check the second picture below.

recall, the height in feet is on the y-axis, and the time in seconds is on the x-axis.

and rounded up to the nearest tenth will be 0.6.

7 0
2 years ago
An equilateral triangle has a semiperimeter of 6 meters.
guapka [62]

Answer:

7

Step-by-step explanation:

An equilateral triangle has a semiperimeter of 6 meters.

Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the nearest square meter.

2 square meters

7 square meters

20 square meters

78 square meters

7 0
2 years ago
Read 2 more answers
Two equal groups of seedlings, and equal in height, were selected for an experiment. One group of seedlings was fed Fertilizer A
ser-zykov [4K]

Answer:

Null Hypothesis: H_0: \mu_A =\mu _B or \mu_A -\mu _B=0

Alternate Hypothesis: H_1: \mu_A >\mu _B or \mu_A -\mu _B>0

Here to test Fertilizer A height is greater than Fertilizer B

Two Sample T Test:

t=\frac{X_1-X_2}{\sqrt{S_p^2(1/n_1+1/n_2)}}

Where S_p^2=\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}

S_p^2=\frac{(14)0.25^2+(12)0.2^2}{15+13-2}= 0.0521154

t=\frac{12.92-12.63}{\sqrt{0.0521154(1/15+1/13)}}= 3.3524

P value for Test Statistic of P(3.3524,26) = 0.0012

df = n1+n2-2 = 26

Critical value of P : t_{0.025,26}=2.05553

We can conclude that Test statistic is significant. Sufficient evidence to prove that we can Reject Null hypothesis and can say Fertilizer A is greater than Fertilizer B.

6 0
2 years ago
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