The equation y=1/9x relates proportional quatities x and y. what is the value of x when y is 4?

Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has al

Sauron [17]

Answer:

70 > I+55

Step-by-step explanation:

The last inequality expresses better this situations.

Emma wants to beat her last record, which was 70 minutes. So, she needs to run in less than 70 minutes.

However, she already ran 55 minutes, the remaining time would be the variable I, so, the sum of them must be less than 70 minutes. So, there are two options to represent this:

I + 55 < 70 or 70 > I + 55.

And if this helped you, feel free to make this the brainliest answer!

4 0

4 years ago

Read 2 more answers

a random sample of n=24 data from a normal distribution with unkown variance produced x=42.5 and s=26 what is the 95 confidence

iogann1982 [59]

Answer:

95% of confidence intervals are

(31.5215 , 53.4785)

Step-by-step explanation:

Explanation:-

Given sample size 'n' =24

Mean of the sample x⁻ = 42.5

Standard deviation of the sample 'S' = 26

95% of confidence intervals are determined by

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })$

Degrees of freedom

ν =n-1 = 24-1 =23

$t_{0.05} = 2.0686$

95% of confidence intervals are

$(42.5 - 2.0686 \frac{26}{\sqrt{24} } , 42.5+ 2.0686 \frac{26}{\sqrt{24} })$

( 42.5 -10.9785 ,42.5 +10.9785)

(31.5215 , 53.4785)

3 0

3 years ago

1.Solve.

maks197457 [2]

Answer:

The answer to your question is below

Step-by-step explanation:

1.- y = 2x - 64

x - 2y = 14

Substitution

x - 2(2x - 64) = 14

Simplification

x - 4x + 128 = 14

x - 4x = 14 - 128

-3x = - 114

x = 114/3

x = 38

y = 2(38) - 64

y = 76 - 64

y = 12

Solution (38, 12)

2.- y = x - 6

3x + 2y = 8

Substitution

3x + 2(x - 6) = 8

Simplification

3x + 2x - 12 = 8

5x = 8 + 12

5x = 20

x = 20 / 5

x = 4

y = 4 - 6

y = -2

Solution (4 , -2)

3.- x - y = 12

27 + 3y = 2x

x = 12 + y

27 + 3y = 2(12 + y)

27 + 3y = 24 + 2y

3y - 2y = 24 - 27

y = -3

x = 12 - 3

x = 9

Solution y = -3

4.- y = 2x + 14

-4x - y = 4

-4x - (2x + 14) = 4

-4x - 2x - 14 = 4

-6x = 4 + 14

-6x = 18

x = 18/-6

x = -3

y = 2(-3) + 14

y = -6 + 14

y = 8

Solution y = 8

8 0

4 years ago

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one

Mamont248 [21]

$12x+20y=16$ where x is a pen and y is a pencil. Because a pen is .40 more than a pencil we can write this in terms of pencils and extra .40:

$32y+12*.4 = 16\\=32y+4.8 = 16\\=32y+4.8-4.8 = 16-4.8\\=32y = 11.2\\=32y/32 = 11.2/32\\=y = 0.35$

Therefore, a pencil costs 0.35 and a pen costs 0.75. Combined, one of each costs 1.10 dollars.

6 0

3 years ago

A plan for an executive traveler's club has been developed by an airline on the premise that at least 5% of its current customer

STatiana [176]

Answer:

a) 3.0779

b)2.3264

Step-by-step explanation:

Please see attachment .

7 0

3 years ago