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postnew [5]
3 years ago
14

hannah and anthony are siblings who have ages that are consecutive odd integers. the sum of their ages is 92 . which equations c

ould be used to find hannah's age,h, if she is the older sibling?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
Let h = Hannah's age.

Hannah is older than her sibling, and their ages are consecutive odd integers. Therefore, h = an odd number and the sibling's age =  h-2.
 
The sum of their ages is 92, therefore
h + (h-2) = 92
2h - 2 = 92

2h = 94
h = 47 years

Answer:
The equation to find Hannah's age is  2h - 2 = 92.
This yields Hannah's age as 47 years.
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PLS HELP ME NEED FOR MATH PLS
enot [183]

y = 25x + 263 this equation represents how much money she will have, including her saving.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The saved amount of $263 by Jenna,

and also she earns $25 per day

if x represents the number of days she works,

and let's take y as the total amount she will have.

Then the equation becomes:
y = 25x + 263

Hence, y = 25x + 263 this equation represents how much money she will have, including her saving.

To learn more about the linear equation visit,

brainly.com/question/2030026

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4 0
1 year ago
Ann increased the quantities of all the ingredients in a recipe by 60\%60%60, percent. She used 808080 grams (\text{g})(g)left p
kari74 [83]

Answer:

50 grams

Step-by-step explanation:

Let the amount of cheese required by the recipe be "x"

Ann increased 60% from original amount and then used up 80 grams. Thus:

<em>Original, increased by 60%, became 80</em>

<em />

This translated to algebraic equation would be:

x + 0.6x = 80

<u>Note:</u>  60% = 60/100 = 0.6

So we can solve the above equation for "x" and get our answer. Shown below:

x + 0.6x = 80\\1.6x=80\\x=\frac{80}{1.6}\\x=50

Hence,

the recipe required 50 grams of cheese

6 0
3 years ago
To compare two programs for training industrial workers to perform a skilled job, 20 workers are included in an experiment. Of t
nikklg [1K]

Answer:

t=\frac{19.1-23.3}{\sqrt{\frac{4.818^2}{10}+\frac{5.559^2}{10}}}}=-1.805  

p_v =P(t_{(18)}

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude the the true mean for method 1 is lower than the mean for the method 2 at 5% of significance

Step-by-step explanation:

Data given and notation

We can calculate the sample mean and deviation with these formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X_{1}=19.1 represent the mean for the sample mean for 1

\bar X_{2}=23.3 represent the mean for the sample mean for 2

s_{1}=4.818 represent the sample standard deviation for the sample 1

s_{2}=5.559 represent the sample standard deviation for the sample 2

n_{1}=10 sample size selected 1

n_{2}=10 sample size selected 2

\alpha represent the significance level for the hypothesis test.

t 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 average time taken when training under method 1 is less than the average time for Method 2, the system of hypothesis would be:

Null hypothesis:\mu_{1} \geq \mu_{2}

Alternative hypothesis:\mu_{1} < \mu_{2}

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

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

t=\frac{19.1-23.3}{\sqrt{\frac{4.818^2}{10}+\frac{5.559^2}{10}}}}=-1.805  

P-value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=10+10-2=18

Since is a one sided test the p value would be:

p_v =P(t_{(18)}

Conclusion

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude the the true mean for method 1 is lower than the mean for the method 2 at 5% of significance

4 0
3 years ago
if alpha and beta are the zeroes of the polynomial f(x) = 6x² + x - 2, find the value of 1/alpha + 1/beta - alphabeta​
finlep [7]

Answer:

let alpha be x and beta be y

Step-by-step explanation:

x+y= -b/a

x+y=-1/6

and xy= c/a

xy= -1/3

according to question

1/x+1/y -xy =(x+y)/xy-xy

(-1/6)/(-1/3)-(-1/3)

1/2+1/3

the answer is 5/6

7 0
3 years ago
I need help ASAP plz
valentinak56 [21]
After simplifying, the answer comes to x-y. I Hope this helped :).
3 0
3 years ago
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