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elixir [45]
1 year ago
8

A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she

Mathematics
1 answer:
olga_2 [115]1 year ago
6 0

The inequality that describes the calories burned is 7x + 9y ≥ 441

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

let x represent the number of minutes of running and y represent the number of minutes of swimming, hence:

7x + 9y ≥ 441

The inequality that describes the calories burned is 7x + 9y ≥ 441

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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Help me please!
telo118 [61]

Answer:

f^{-1}(6) = 50

Step-by-step explanation:

Given

f(x) = \sqrt{2x} - 4

Required

Find f^{-1}(6)

First, we calculate the inverse function

f(x) = \sqrt{2x} - 4

Express f(x) as y

y = \sqrt{2x} - 4

Swap the positions of x and y

x = \sqrt{2y} - 4

Solve for y: Add 4 to both sides

4 + x = \sqrt{2y} - 4+4

4 + x = \sqrt{2y}

Square both sides

(4 + x)^2 = 2y

Divide both sides by 2

y = \frac{(4 + x)^2}{2}

Express y as an inverse function

f^{-1}(x) = \frac{(4 + x)^2}{2}

Next, solve for: f^{-1}(6)

Substitute 6 for x

f^{-1}(6) = \frac{(4 + 6)^2}{2}

f^{-1}(6) = \frac{(10)^2}{2}

f^{-1}(6) = \frac{100}{2}

f^{-1}(6) = 50

7 0
3 years ago
Can anyone help me please
Xelga [282]

popopoppopopoopopopp[poopopopopopop

3 0
2 years ago
The CEO of the Jen and Benny's ice cream company is concerned about the net weight of ice cream in their 50 ounce ice cream tubs
MissTica

Answer:

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

Since is a right tailed test the p value would be:  

p_v =P(t_{25}>1.8025)=0.0418  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average is higher than 52 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=54.98 represent the sample mean

s=8.43 represent the sample deviation

n=26 sample size  

\mu_o =52 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 52, the system of hypothesis would be:  

Null hypothesis:\mu \leq 52  

Alternative hypothesis:\mu > 52  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

P-value  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

Since is a right tailed test the p value would be:  

p_v =P(t_{25}>1.8025)=0.0418  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average is higher than 52 at 5% of signficance.  

7 0
3 years ago
Read 2 more answers
Which distance measures 5 units?
xz_007 [3.2K]

Step-by-step explanation:

the distance between points Y and Z

4 0
2 years ago
Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hou
MrRa [10]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of hours Eli worked

y ----> the number of hours Samantha worked

we know that

Eli and they ironed 400 shirts between them

so

 ----> equation A

Samantha worked 2 more hours than Eli

so

----> equation B

solve the system by substitution

substitute equation B in equation A

solve for x

Find the value of y

substitute the value of x in equation B

therefore

The number of hours Eli worked was 6 and the number of hours Samantha worked was 8

5 0
2 years ago
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