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3 years ago

Given 6(x) = (x+41, what is b(-10)?

Mathematics

1 answer:

prisoha [69]3 years ago

7 0

The value of $b(-10)$ is 31

Explanation:

The given expression is $b(x)=x+41$

We need to determine the value of $b(-10)$

The value of $b(-10)$ can be determined by substituting $x=-10$ in the expression $b(x)=x+41$

Thus, we have,

$b(-10)=-10+41$

Adding the terms, we have,

$b(-10)=31$

Thus, the value is 31.

Therefore, the simplified value of the expression by substituting $x=-10$ in the expression $b(x)=x+41$ is 31.

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A card is drawn at random from a standard deck of 52 playing cards. What is the probability that the card is either a king or a

Dafna11 [192]

Let’s count it.

I’m assuming that you have a regular deck of cards and that means 13 hearts and 13 kings.

You can pick any card of 52 with equal probability 1/52 for each.

So there are 52 opportunities of 1/52 probability to take any card from deck.

But you are looking only for 13 of hearts and for 13 of kings. That means your chance is (13 + 13) / 52 = 1/2 :)

3 0

3 years ago

You need 4/5 cups of strawberriers to make 1 pie how much cups will u need to make 2 pies

Annette [7]

Answer:

1 $\frac{3}{5}$ cups of strawberries

Step-by-step explanation:

To find how much you will need for 2 pies, multiply 4/5 by 2:

4/5(2)

= 8/5

Simplify this to a mixed number:

= 1 $\frac{3}{5}$

So, you will need 1 $\frac{3}{5}$ cups of strawberries to make 2 pies

8 0

3 years ago

Read 2 more answers

In the equation below a is a number between 0 and 1 8 x a = b which statement about the value of b is always true

Kamila [148]

Answer:

See Explanation

Step-by-step explanation:

Given

$0 \le a \le 1$

$8*a =b$

Required

Determine the true statement about b

The question is incomplete as options are not given. However, a general explanation is as follows:

Rewrite $8*a =b$

$b = 8 * a$

When a = 0

$b = 8 * 0 = 0$

When a = 1

$b = 8 * 1 = 8$

This means that:

For $0 \le a \le 1$

Then $0 \le b \le 8$

<em>This means that: b is a number between 0 and 8</em>

3 0

3 years ago

Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month. James Bond makes a $2500 down payment for a

Delicious77 [7]

Answer:

Both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to $1000+300x$

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

Amount paid by James Bond in x months is equal to $2500+150x$

To find number of months after which both Wolverine and James Bond will have paid the same amount,

solve $1000+300x=2500+150x$

$1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10$

So, both Wolverine and James Bond will have paid the same amount after 10 months.

5 0

4 years ago

A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years

juin [17]

Answer: 0.55567

Step-by-step explanation:

Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.

i.e.

$\mu=10\text{ years}\\\sigma=3\text{ years}$

Let $X_1$ and $X_2$ are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator $X_3$ .

So that, $X =X_1+X_2-1.9\times X_3$

Mean $=E(X_1)+E(X_2)-E(X_3)=10+10-1.9\times10 =1$

Standard deviation = $\sqrt{(Var(X_1)+Var(X_1)+Var(X_1))}$

$=\sqrt{(3^2+3^2+(1.9\times3)^2)}$

$=7.1056315694$

Z-score : $z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14$

Now , The probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-

$P(Z>-0.14)=P(Z$

Hence, the required probability is 0.55567.

3 0

3 years ago