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Helen [10]
2 years ago
6

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the b

alloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?
Mathematics
1 answer:
mr_godi [17]2 years ago
3 0

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

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If you guess an answer on two multiple choice questions with the options a, b, or c, what is the probability of you guessing the
Law Incorporation [45]
First, you find the probability of getting each question right individually, then you multiply the two probabilities together.

(1/3) x (1/3) = 1/9
5 0
3 years ago
Share 747 in the ratio 2:7 between Tom and Ben
eduard

Answer:

tom = 166, ben = 581

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

therefore 1 part = 83

83 x 2 = 166

83 x 7 = 581

tom has 2 parts so he has 166

ben has 7 parts so he has 581

3 0
2 years ago
Read 2 more answers
Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
White raven [17]
A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
7 0
3 years ago
PLEASE HELP I WILL MARK YOU AS BRAINLEST
denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

Q_3=\frac{20+21}{2}=20.5

Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

4 0
3 years ago
Read 2 more answers
You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic
yarga [219]

Answer:

16 in × 20 in

Step-by-step explanation:

  1. Finding the % of the picture that can fit in 16×20 frame

Area of picture= length by width

                         =4*6=24 in²

Area of frame=Length by width

                      =16*20=320 in²

% of the picture in the frame will be

                        (24/320) * 100% =7.5%

     2. Finding the % of the picture that can fit in 18 × 24 frame

Area of picture=24 in²

Area of frame =Length by width

                       =18*24=432 in²

% of the picture in the frame will be;

                        (24/432)*100%=5.6%

The frame 16 by 20 in will keep 7.5% of the original picture

The frame 18 by 24 in will keep 5.6% of the original picture

Hence you should use the frame  of 16 by 20 in because it will keep more of the original picture.

6 0
3 years ago
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