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love history [14]
3 years ago
15

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If

Mathematics
1 answer:
Blababa [14]3 years ago
3 0

Answer:

7/20:1/4:2/5

Step-by-step explanation:

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In a right triangle, one of the legs is 5 cm smaller than the hypotenuse, and the other leg is 10 cm smaller than the hypotenuse
nata0808 [166]

Answer:

25 cm.

Step-by-step explanation:

If the hypotenuse is  x cm long the 2 legs are  x-5 and x-10 cm long.

So by the Pythagoras theorem:

x^2 = (x - 5)^2 + (x - 10)^2

x^2 = x^2 - 10x + 25 + x^2 - 20x + 100

x^2 - 30x + 125 = 0

(x - 5)(x - 25) = 0

x = 5, 25

We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.

3 0
3 years ago
The slope of the line passing through the points (6, 2) and (7, 3) is<br> 3/5<br> 1<br> -1
Softa [21]
<span>The slope of the line passing through the points (6, 2) and (7, 3) is

\large\begin{array}{I} \mathtt{ slope= \dfrac{3-2}{7-6}=1} } \end{array}
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7 0
3 years ago
Read 2 more answers
A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You wa
Lady_Fox [76]

Answer:

The P-value for this test is P=0.2415.

Step-by-step explanation:

We have to perform an hypothesis testing on the mean of alla account balances.

The claim is that the mean of all account balances is significantly greater than $1,150.

Then, the null and alternative hypothesis are:

H_0: \mu=1150\\\\H_a: \mu>1150

The sample size is n=20, with a sample mean is 110 and standard deviation is 125.

We can calculate the t-statistic as:

t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{1170-1150}{125/\sqrt{20}}=\dfrac{20}{27.95}=0.7156

The degrees of freedom fot this test are:

df=n-1=20-1=19

For this one-tailed test and 19 degrees of freedom, the P-value is:

P-value=P(t>0.7156)=0.2415

8 0
3 years ago
How many sides does a polygon have if each of its interior angle is 120
vesna_86 [32]
There are six sides
8 0
3 years ago
Mrs. Vance decided to buy dress shirts for her two sons. She bought her older son a blue shirt for $9.91, and she bought her you
AveGali [126]

Hope the picture will help you

4 0
2 years ago
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