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xenn [34]
3 years ago
11

Josh sold 4 more boxes of candy for the school fundraiser than Jenny. The sum was 22 of the boxes they sold. How many boxes did

they each sell?
Mathematics
1 answer:
agasfer [191]3 years ago
7 0
22-4=18
18/2=9
Jenny sold 9 boxes and Josh sold 13 boxes
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Please answer the question now in two minutes
oksian1 [2.3K]

Answer:

Coordinates of point P is (-14,3).

Step-by-step explanation:

Given that mid point of line segment \overline {PQ} is at <em>M(-9, 8.5).</em>

Q is at <em>(-4, 14)</em>.

Let coordinate of P be (x,y).

Using the ratio, we can say the following:

<em>The coordinates of mid point</em> (X,Y) of a line with endpoints (x_1, y_1) and (x_2, y_2) is given as:

X=\dfrac{(x_1+ x_2)}{2}

Y=\dfrac{(y_1+ y_2)}{2}

Using the formula for above given dimensions:

-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14

8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3

So, the <em>coordinates of point P are</em> (-14,3).

6 0
3 years ago
A straight angle has four angles. angle 1=39º, angle 2=54º, angle 3=48º, what is the measure of angle 4 ?
Ludmilka [50]

Answer:

39 degrees

Step-by-step explanation:

Add: 39+54+48=141

180 (degrees of a straight angle) minus 141=39

39 degrees

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/night/afternoon!!!

8 0
2 years ago
Find the mean, variance &amp;a standard deviation of the binomial distribution with the given values of n and p.
MrMuchimi
A random variable following a binomial distribution over n trials with success probability p has PMF

f_X(x)=\dbinom nxp^x(1-p)^{n-x}

Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.

\displaystyle\sum_xf_X(x)=\sum_{x=0}^n\binom nxp^x(1-p)^{n-x}=1

The mean is given by the expected value of the distribution,

\mathbb E(X)=\displaystyle\sum_xf_X(x)=\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^nx\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^n\frac{n!}{(x-1)!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\frac{(n-1)!}{x!((n-1)-x)!}p^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\binom{n-1}xp^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^{n-1}\binom{n-1}xp^x(1-p)^{(n-1)-x}

The remaining sum has a summand which is the PMF of yet another binomial distribution with n-1 trials and the same success probability, so the sum is 1 and you're left with

\mathbb E(x)=np=126\times0.27=34.02

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\mathbb V(X)=125\times0.27\times0.73=24.8346

The standard deviation is just the square root of the variance, which is

\sqrt{\mathbb V(X)}=\sqrt{24.3846}\approx4.9834
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Bc I literally just took that quiz and it's false

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