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2 years ago

Solve 2(a +8) > 18 ο Α. α>1 o ca > 13 O Ba>5 OD. a > 15

Mathematics

1 answer:

zubka84 [21]2 years ago

6 0

Answer:

A) a>1

Step-by-step explanation:

2(a +8) >18

2a +16 >18

2a>18 - 16

2a>2

a>2:2

a>1

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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 ~ $Binom(n=680, p=0.55)$

Now, we have to find the mean and standard deviation of the given binomial distribution.

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

3 years ago

Choose the product. a 3 b 2 · 4ab 3 4a3b5 4a3b6 4a4b5

zvonat [6]

A³ b² 4ab³

Rearrange order:

4 a³ a b² b³

Now add up the exponents from same base:

4 a³⁺¹ b²⁺³

4 a⁴ b⁵

Final answer: 4 a⁴ b⁵

5 0

2 years ago

Help me please, lots of points

enot [183]

6/10=0.60
8.75+0.60
=9.35

7 0

2 years ago

Read 2 more answers

Which of the following shows the best communicative property of addition ?

kumpel [21]

Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

Commutative property of Addition:

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

3 0

2 years ago

Graph Ex+ 3y = 24 a. b. c. d.

8090 [49]

Answer:

(b)

Step-by-step explanation:

Given

$8x + 3y = 24$

Required

The graph

First, make y the subject

$3y = 24 - 8x$

Divide through by 3

$y = 8 - \frac{8}{3}x$

Let x = 3

$y = 8 - \frac{8}{3}*3 = 8 - 8 = 0$

Let x = 6

$y = 8 - \frac{8}{3}*6 = 8 - 16 = -8$

So, we plot the graph through

$(3,0)$ and $(6,-8)$

See attachment for graph

8 0

2 years ago