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Fittoniya [83]
3 years ago
12

if 60 people were asked their favorite color how many people preferred blue when 26% were red ,16%green,30%blue,4%black and 24%y

ellow

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0
An easy trick is to just take 10% first by moving the decimal place to the left one, like this. 10% of 60.0 is 6.0. Then multiply that by 3 to get 30% so 6*3= 18 people.
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I need help,plss:(
Andru [333]

Answer:

C

Step-by-step explanation:

y=\sqrt{x-1} +4

graph is shifted right 1 unit and 4 units up.

6 0
3 years ago
As part of a study of the treatment of anemia in cattle, researchers measured the concentration of selenium in the blood of 36 c
iris [78.8K]

Answer:

Step-by-step explanation:

Given that a  part of a study of the treatment of anemia in cattle, researchers measured the concentration of selenium in the blood of 36 cows who had been given a dietary supplement of selenium (2 mg/day) for one year.

If x is the selenium concentration then

X has mean= 6.21 mg/dl

and std dev = 1.84

Sample size n = 36

std error of sample = \frac{1.84}{\sqrt{36} } \\=0.307

Margin of error for 95%

1.96(0.307)=0.602

Confidence interval = (6.21-0.605, 6.21+0.605)\\= (5.605, 6.815)

4 0
3 years ago
Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari
Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

f(x) = \lambda e^{-\lambda x}  , x >0     where, \lambda = parameter of distribution.

Now, the mean of exponential distribution is = \frac{1}{\lambda}  which is given to us as 35 minutes that means  \lambda = \frac{1}{35}  .

So, X ~ Exp( \lambda = \frac{1}{35} )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

F(x) = P(X \leq x) = 1 - e^{-\lambda x}  , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X \leq 37 min)

  P(X \leq 37 min) = 1 - e^{-\frac{1}{35} \times 37}        {Using CDF}

                         = 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0
3 years ago
Which equation represents the value of x? x=100−y2−−−−−−−√ x=10+y2 x=10−y x=y2+100−−−−−−−√ Right triangle A B C with angle B as
Nostrana [21]

Answer:

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

Step-by-step explanation:

Given:

ΔBC is a Right Angle Triangle at ∠ B = 90°

As ∠ B = 90° , AC will be the Hypotenuse

AC = 10 = Hypotenuse

BC = y = Longer leg ( say )

AB = x = Shorter leg ( say )

To Find :

x = ?

Solution:

In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the given values we get

10^{2}= x^{2}+y^{2} \\\\x^{2}=100-y^{2} \\\\\textrm{square rooting on both the side we get}\\\\x=\sqrt{(100-y^{2})}\\\therefore x=\sqrt{(100-y^{2})}\ \textrm{ which is the required value of x}

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

8 0
3 years ago
Write the numbers in scientific notation.
Rasek [7]

Answer:

8)5.1*10⁶

9)6.98*10 to the power of -6

10) 3.000052*10⁰

11)0.006548

3 0
3 years ago
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