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3 years ago

11

During The Month Of October, Sophie Raised $25 for a charity. During November, she raised 5 times as much money for charity. How

much money did sophie raise in November

1 answer:

lbvjy [14]3 years ago

5 0

25 (times) 5 is 125.
Sophie raised 125 dollars in the month of November.

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Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes

lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 680 trials

r = number of success

p = probability of success which in our question is 0.55

So, it means X <em>~ </em> $Binom(n=680, p=0.55)$

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

Mean of Binomial Distribution is given by;

E(X) = n $\times$ p

So, E(X) = 680 $\times$ 0.55 = 374

Standard deviation of Binomial Distribution is given by;

S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{680 \times 0.55 \times (1-0.55)}$

= $\sqrt{680 \times 0.55 \times 0.45}$ = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0

2 years ago

IRINA_888 [86]

It has to be true because

3 0

2 years ago

bogdanovich [222]

2 ten dollar bills, 1 one dollar bill.

20*8= 160
186- 160 = 26
26 - 5 = 21

4 0

3 years ago

What is the area of the figure?

mrs_skeptik [129]

We see that the shape is made up of 2 shapes:
trapezoid and triangle
(trapezoid is on top of upside down triangle)

area of trapezoid=(1/2)(b1+b2)(h)
area of traignel=(1/2)(b)(h)

area of trapezoid
b1=14
b2=18
h= ok so total height=17 and 12 is taken up by triangle os therefor h=17-12=5

A=(1/2)(14+18)(5)
A=(1/2)(32)(5)
A=(16)(5)
A=(80)

now area of triangle
H=12
B=18
A=(1/2)(18)(12)
A=(9)(12)
A=108

add
80+108=188

total area=188mm^2

5 0

2 years ago

What function is increasing? will give brainlist !

Wewaii [24]

Answer:

Option B.

Step-by-step explanation:

Option A.

f(x) = $(0.5)^{x}$

Derivative of the given function,

f'(x) = $\frac{d}{dx}(0.5)^x$

= $(0.5)^x[\text{ln}(0.5)]$

= $-(0.693)(0.5)^{x}$

Since derivative of the function is negative, the given function is decreasing.

Option B. f(x) = $5^x$

f'(x) = $\frac{d}{dx}(5)^x$

= $(5)^x[\text{ln}(5)]$

= $1.609(5)^x$

Since derivative is positive, given function is increasing.

Option C. f(x) = $(\frac{1}{5})^x$

f'(x) = $\frac{d}{dx}(\frac{1}{5})^x$

= $\frac{d}{dx}(5)^{(-x)}$

= $-5^{-x}.\text{ln}(5)$

Since derivative is negative, given function is decreasing.

Option D. f(x) = $(\frac{1}{15})^x$

f'(x) = $-15^{-x}[\text{ln}(15)]$

= $-2.708(15)^{-x}$

Since derivative is negative, given function is decreasing.

Option (B) is the answer.

7 0

2 years ago