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Anna35 [415]
3 years ago
12

Your family is planning to drive 1560 kilometers on a road trip. How many miles is the trip?

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

The answer is <u>969.3 miles</u>

Step-by-step explanation:

1560 kilometers = <u>969.3 miles</u>

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Suppose the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water tend to be approximately n
Irina-Kira [14]

Answer: 0.0475

Step-by-step explanation:

Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.

Given: \mu=85,\ \ \sigma=9

The probability that a given 1-ml will contain more than 100 bacteria will be:

P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z

∴The probability that a given 1-ml will contain more than 100 bacteria

0.0475.

3 0
3 years ago
Is 3:2 and 10:5 equvalent?
Mademuasel [1]
I don't think so.........
6 0
3 years ago
1+ 2/5 × 4/5 ÷ 1/2( these are fractions btw)
daser333 [38]
ANSWER : 41/25 or in simplest form 1 16/25 . it could also be 1.64 in decimal form .
8 0
3 years ago
Read 2 more answers
HELPPPP!!!<br> Select the correct answer.<br> Which function is an even function?
jonny [76]

Answer:

C.

Step-by-step explanation:

p(x)=sin(x) is an odd function since sin(-x)=-sin(x).

q(x)=cos(x) is an even function since cos(-x)=cos(x).

r(x)=tan(x) is an odd function since tan(-x)=-tan(x).

s(x)=csc(x) is an odd function since csc(-x)=-csc(x).

So the only contender seems to be C.

Let's check.  To check we have to plug in (-x) in place of (x) and see if we get the same function back since we are looking for an even function.

f(x)=\cos(\frac{5\pi}{4}x)

Replace (x) with (-x):

f(-x)=\cos(\frac{5\pi}{4}(-x)

f(-x)=\cos(\frac{-5\pi}{4}x)

f(x)=\cos(\frac{5\pi}{4}x) since cosine is even; that is cos(-u)=cos(u) where u in this case is \frac{5\pi}{4}x.

So f is even.

7 0
4 years ago
A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud
iris [78.8K]

Answer:

-0.048

Do not reject  H_0:P_1-P_2=0

Step-by-step explanation:

From the question we are told that

Sample size n_1=350

Sample size n_2=250

Sample proportion 1  \hat P= \frac{25}{350} =>0.07

Sample proportion 2 \hat P= \frac{19}{250} =>0.076

95% confidence interval

Generally for 95% confidence level

Level of significance

 \alpha = 1-0.95=>0.05

 \alpha /2=\frac{0.05}{2} =>0.025

Therefore

Z_a_/_2=1.96

Generally the equation for confidence interval between P_1 - P_2  is mathematically given as

(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2}  }

(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250}  }

(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4  }

(-0.006)\pm 0.042

(-0.006)- 0.042=>-0.048

(-0.006)+ 0.042=>0.036

Therefore

Confidence interval is

-0.048

Conclusion

Given the confidence interval has zero

Therefore do not reject  H_0:P_1-P_2=0

6 0
3 years ago
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