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The short answer please

Answers

Answer 1

Answer:

Answer:

4) 1

5) 13/0, ND

6) -4

7) 5/3

8) 0

9) -1/7

all ans r correct....

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Find the value of x and the value of y.A x= 2√3, 7 = 43
B. x= 3, y = 6/3
C. x= 6/3, y = 12
D. x=21/3, y = 6

Answers

Answer:

x = 6/√3 , y = 12/√3

Step-by-step explanation:

sin 60° = opposite /hypothenus

√3/2 = 6/y

cross multiply

√3y=6 x 2 = 12

y = 12/√3

Tan 60° = opposite/adjacent

tan 60° = √3

√3 = 6/x

√3x= 6

x = 6/√3

The weight, in pounds, of a certain type of adult squirrel is normally distributed with a mean of 4.1 pounds and a standard deviation of 0.5 pounds. What percentage of squirrels have a weight between 3 and 5 pounds?

Answers

Answer:

95.02% of squirrels have a weight between 3 and 5 pounds.

Step-by-step explanation:

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.1 pounds

Standard Deviation, σ = 0.5 pounds

We are given that the distribution of weight is a bell shaped distribution that is a normal distribution.

Formula:

$z_(score) = \displaystyle(x-\mu)/(\sigma)$

P(weight between 3 and 5 pounds)

$P(3 \leq x \leq 5) = P(\displaystyle(3 - 4.1)/(0.5) \leq z \leq \displaystyle(5-4.1)/(0.5)) = P(-2.2 \leq z \leq 1.8)\n\n= P(z \leq 1.8) - P(z < -2.2)\n= 0.9641- 0.0139 = 0.9502= 95.02\%$

$P(3 \leq x \leq 5) = 95.02\%$

95.02% of squirrels have a weight between 3 and 5 pounds.

Final answer:

Using the concepts of normal distribution and Z-scores, it is found that approximately 95% of the squirrels have weights between 3 and 5 pounds.

Explanation:

The problem involves the use of the concept of normal distribution in statistics. In this case, we have a mean of 4.1 pounds and a standard deviation of 0.5 pounds. We have two weight points, namely 3 pounds and 5 pounds. To find out the percentage in this interval, we need to convert the weights into z-scores, which standardizes them. The formula for this is Z = (X - μ) / σ, where X is the weight point, μ is the mean, and σ is the standard deviation.

The Z-score for 3 pounds is Z1 = (3 - 4.1) / 0.5 = -2.2, and the Z-score for 5 pounds is Z2 = (5 - 4.1) / 0.5 = 1.8. Looking these Z-scores up in the standard normal table (or using a calculator with a normal distribution function), we get 0.9857 for Z1 and 0.9641 for Z2. The difference between these values gives the percentage of squirrels within the interval, which is 0.9641 - (1 - 0.9857) = 0.950 or 95%. Hence, approximately 95% of the squirrels have a weight between 3 and 5 pounds.

Learn more about Normal Distribution here:

brainly.com/question/34741155

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The quadratic equation x^2 - 8x = -4 is rewritten in the form (x + p)^2 = q. when q is a constant. What is the value of p ?

Answers

Answer:

-4

Step-by-step explanation:

If you multiply out the square, you can see ...

(x +p)^2 = q

x^2 +2px +p^2 = q

The coefficient of the x-term is 2p, so ...

2p = -8

p = -8/2 = -4

Multiply
(9.4 x 10^6)(3.2 x 10^5)
PLZZZZ

Answers

Answer:3.008x10^12

Step-by-step explanation:

Answer:

3008000000000 or 3.008×10^12

Step-by-step explanation:

(9.4×3.2)×(10^6×10^5) use communitive property to reorder terms

30.08×10^6+5 multiply the numbers

30.08×10^11 add your exponents to equal 10^11

3.008×10^12 put in scientific notation

hope this helped!

Liam is a rewards member at a local restaurant. He can buy four tacos at regular price and get 5.50 off of his purchase. Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total. What would the taco price x need to be in order for Liam and Zachary to spend the same amount?

Answers

Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.

There is no price of the taco that makes that both of them spend the same.

Liam and Zachary buy tacos at the same place. Let "x" be the price of each taco and "y" be the total amount spent.

Liam can buy 4 tacos at regular price and get 5.50 off of his purchase.

We can represent the situation through the following linear equation.

y = 4x - 5.50 [1]

Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total.

We can represent the situation through the following linear equation.

y = 3x - 6.50 [2]

We want to know the prices of the taco so that both of them spend the same amount.

We calculate it making [1] equal to [2].

4x - 5.50 = 3x - 6.50

4x - 3x = -6.50 + 5.50

x = -1.00

The taco would have cost -1.00 for both of them to spend the same. Since in reality, this is unlikely, we can say that there is no price of the taco that makes that both of them spend the same.

Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.

There is no price of the taco that makes that both of them spend the same.

Learn more about linear equations here: brainly.com/question/2263981

Determine the solution for x2 + 36 > 12x