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Phoenix [80]
3 years ago
14

The shardze family is planning A car trip to Atlanta Georgia which is 279 miles from their home they plan to drive at an average

speed of 62 mph they also plan to stop for lunch for 45 minutes based on their plan when should I leave in order to arrive in Atlanta at 3 o'clock
Mathematics
1 answer:
Gnoma [55]3 years ago
4 0
They are going 279 miles at a rate of 62 mph.

time = distance / speed
time = 279/62
time = 4.5 hrs...or (4 hrs 30 minutes)

plus they plan on a 45 minute lunch...
4 hrs and 30 minutes + 45 minutes = 4 hrs and 75 minutes = 
5 hrs 15 minutes. So they need 5 hrs and 15 minutes to get there...and they want to be there by 3.

So they will have to leave at : 9:45 <==
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bagirrra123 [75]

Answer:

\large\boxed{-\dfrac{5}{8}+\dfrac{1}{4}=-\dfrac{3}{8}}

Step-by-step explanation:

-\dfrac{5}{8}+\dfrac{1}{4}=\dfrac{1}{4}+\left(-\dfrac{5}{8}\right)=\dfrac{1}{4}-\dfrac{5}{8}\\\\\text{find LCD:}\\\\8=2\cdot4,\ \text{therefore. LCD(4, 8) = 8}\\\\\dfrac{1}{4}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{2}{8}\\\\\text{continuing}\\\\=\dfrac{2}{8}-\dfrac{5}{8}=\dfrac{2-5}{8}=-\dfrac{3}{8}

4 0
3 years ago
A men’s softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the e
vodomira [7]

Answer:

Yes. There is enough evidence to support the claim that there are fewer errors on average when the yellow ball is used.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The sample data is:</em>

Yellow 5 2 6 7 2 5 3 8 4 9

White 7 6 8 5 9 11 8 3 6 10

This is a hypothesis test for the difference between populations means.

The claim is that there are fewer errors on average when the yellow ball is used.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0

The significance level is α=0.05.

The sample 1 (yellow ball errors), of size n1=10 has a mean of 5.1 and a standard deviation of 2.42.

The sample 2 (white balls errors), of size n2=10 has a mean of 7.3 and a standard deviation of 2.41.

The difference between sample means is Md=-2.2.

M_d=M_1-M_2=5.1-7.3=-2.2

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{2.42^2+2.41^2}{10}}\\\\\\s_{M_d}=\sqrt{\dfrac{11.665}{10}}=\sqrt{1.166}=1.08

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-2.2-0}{1.08}=\dfrac{-2.2}{1.08}=-2.037

The degrees of freedom for this test are:

df=n_1+n_2-1=10+10-2=18

This test is a left-tailed test, with 18 degrees of freedom and t=-2.037, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.028) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there are fewer errors on average when the yellow ball is used.

3 0
4 years ago
IF YOUR GOOD AT MATH THEM PLEASE ANSWER THIS !
baherus [9]

x+5+x+x+5=4x+10

Answer:

4x+10

Step-by-step explanation:

x+5+x+x+5=4x+10

6 0
2 years ago
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The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.
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V = s³. Therefore, s = ³√ V

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What is the pattern rule that is used to get the next term in the pattern?
Ugo [173]

Answer:

The Pattern is the last number is multiplied by 4

8*4^{n-1}

Step-by-step explanation:

5 0
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