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Katena32 [7]
3 years ago
6

Helen rented a kayak at the lake. There is a charge of $6 as an initial fee and then $3 an hour for every hour that she uses the

kayak. If the total charge is $21, how many hours did she kayak?
Mathematics
2 answers:
Helga [31]3 years ago
6 0
Helen kayaked for 5 hours.
Hope this helps!!
zhuklara [117]3 years ago
3 0
5 hours is your answer
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If the area of a parallelogram is 9.6cm² and base is 1.2 cm, then the corresponding height is:
julia-pushkina [17]

Answer:

Height is 8cm

Step-by-step explanation:

A= bxh

9.6 = 1.2 x h

÷1.2

8 = h

Check:

8 x 1.2= 9.6cm

Hope this helps!

8 0
3 years ago
Is the relation a function?
Margaret [11]
No; a domain value has two range values.

x = -2 then y = 1 and 2

they would form a vertical line, which tells us that it's not a function
8 0
3 years ago
Standard form of a line passing through points (1, 3) and (-2, 5)
____ [38]

Answer:

<h2>2x + 3y = 33 </h2>

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

<h2>2x + 3y = 33 </h2>
6 0
3 years ago
Given f(x)=½(8-2x), what is the value of f(-5)? help plez
guajiro [1.7K]

Answer:

9

Step-by-step explanation:

f(x)=½(8-2x)

Let x = -5

f(-5)=½(8-2* (-5))

     =½(8+10)

     =½(18)

     =9

8 0
3 years ago
Read 2 more answers
A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0
3 years ago
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