All categories

3 years ago

Darwin’s age is 6 years greater than twice Fiona’s age.

1 answer:

7 0

Hi there.

I converted this problem into an algebraic equation & searched it up. Here's the equation:

6 + 2x = 50

I've come to find that x = 22.

Fiona is 22 years old. You can take my word for it or use the equation :)

Hope this helps!!

You might be interested in

Write an equation that represents the line

andriy [413]

I don’t know if you want both but I’m going to give you both.

(0,2) and (4,3)

3 0

3 years ago

Plutonium-240 decays according to the function Q(t)=Q(subscripto)e^(-kt) where Q represents the quantity remaining after t years

svetoff [14.1K]

The answer is 9,990 years. Using the exponential decay question, we can figure out how long it will take Plutonium-240 to decay from 27 grams to 9 grams. Setting the equation up looks like this, 9 = 27 e^ (-0.00011 t). From this you get, 0.333333 = e ^(-0.00011 t). Next, you simplify by dividing both sides by the natural log, -1.0986 = -0.00011 t. Finally, you solve by dividing both sides by -0.00011, giving 9,987 years for t, rounded up to 9,990 years.

7 0

4 years ago

Read 2 more answers

Jackson runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $

mars1129 [50]

Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Given that Jackson runs a farm stand that sells bananas and grapes, and each pound of bananas sells for $ 1 and each pound of grapes sells for $ 2.25, and Jackson sold 15 more pounds of bananas than pounds of grapes and made $ 54 altogether, to determine the number of pounds of bananas sold and the number of pounds of grapes sold the following calculation must be performed:

25 x 1 + 10 x 2.25 = 25 + 22.50 = 47.50
26 x 1 + 11 x 2.25 = 26 + 24.75 = 50.75
27 x 1 + 12 x 2.25 = 27 + 27 = 54

Therefore, Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Learn more about quantities in brainly.com/question/25823155

3 0

3 years ago

stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the president's height minus their main opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.

5 0

3 years ago

How many different ways can 3 singers be selected from 5 who came to an audition

abruzzese [7]

This is known as "5 take 3", where ordering is not important.

$\binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{120}{6\cdot2} = 10$

5 0

3 years ago