a pear has 100 calories a plum has 45 calories was the radio of the calories in a plum to the calories in a pear

Jane moves from a house with 71 square feet of closet space to an apartment with 45.44 square feet of closet space. What is the

motikmotik

Answer:

45.44/71 - 1 = -0.36 = -36%

36% decrease.

7 0

3 years ago

Troy started at the fire station. He walked to the library and then rode his bike to the post office. If Troy only traveled alon

3241004551 [841]

Answer:

Step-by-step explanation:

Calling it blocks is a little weird. but a good way to do it is to move left or right until you are over or below where you want to go then move up or down accordingly. Each move, left, right up or down will count as one block.

So from the fire station you go 1 to the right and then 6 down, for a total of 7. then from the library it's 3 right then 4 up, which is 7 again. 7 to the first stop then 7 to the second makes 14 total.

If there's something you don't get let me know.

7 0

2 years ago

The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, m

In-s [12.5K]

Answer:

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Step-by-step explanation:

The claim is mostly treated as alternate hypothesis .

In this question the claim is given as the average annual donor income has increased therefore it is written as

Ha: u > 100,000

The null hypothesis is reverse of the alternate hypothesis

H0: u ≤ 100,000

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

8 0

2 years ago

A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe

kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

4 0

2 years ago

Bethany, Lauren, Amanda, and David all meet at a family reunion. They are comparing their ages. They have found that Lauren is 1

tekilochka [14]

Lauren =l
David=d
Bethany's =x
Amanda =y
l=x+13
d=y+11
lx=2y
(x+13)x=2y
 $2y=x^2+13x$
$y= \frac{1}{2}(x^2+13x)$
or
$y= \frac{x^2}{2}+ \frac{13}{2}x$
(x-20)(l-20)=d
(x-20)(x+13-20)=y+11 
 $y+11=(x-20)(x-7)$
$y+11=x^2-27x+140$
$y=x^2-27x+129$
so I believe its b
Hope this helps :)

6 0

2 years ago

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a pear has 100 calories a plum has 45 calories was the radio of the calories in a plum to the calories in a pear​

a pear has 100 calories a plum has 45 calories was the radio of the calories in a plum to the calories in a pear