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posledela
3 years ago
6

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas

for a total of $5.25. This system pound of apples, and y is the cost per pound of bananas. m of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.

Mathematics
1 answer:
docker41 [41]3 years ago
8 0
The answer to the question

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Triangle DEF is translated 4 units right and 7 units down to create Triangle D E F which rule describes this transformation ?
Tanzania [10]

Answer:

A

Step-by-step explanation:

4 units right is positive 4 on the x axis, 7 units down is negative 7 on the y axis

4 0
3 years ago
Read 2 more answers
Brainliest + 20 pts to whoever helps pls!!
Blizzard [7]

Answer:

Correct option is (a). 60.391 and 101.879; because the test statistic is in a critical region, the test rejects the null hypothesis.

Step-by-step explanation:

A Chi-square test for population variance is used to perform this test.

The standard deviation is, 2.0 minutes.

Then the variance is, 4.0 minutes.

The hypothesis for this test is:

<em>H₀</em>: The population variance of all commute times is equal to 4.0 minutes, i.e. <em>σ² </em>= 4.

<em>Hₐ</em>: The population variance of all commute times is not equal to 4.0 minutes, i.e. <em>σ² </em>≠ 4.

The test statistic is:

\chi^{2}_{calc.}=\frac{(n-1)s^{2}}{\sigma^{2}}

The critical region of this test is defined as:

Reject <em>H₀</em> if \chi^{2}_{calc.} or \chi^{2}_{calc.}>\chi^{2}_{(1-\alpha /2), (n-1)}.

The degrees of freedom is:

n-1=81-1=80

Compute the critical from a Chi-square table.

\chi^{2}_{\alpha /2, (n-1)}=\chi^{2}_{0.05, 80}=101.879\\\chi^{2}_{(1-\alpha /2), (n-1)}=\chi^{2}_{0.95, 80}=60.391\\

The test statistic value is, \chi^{2}_{calc.}=105.8.

\chi^{2}_{calc.}=105.8 > \chi^{2}_{0.05, 80}=101.879

The null hypothesis is rejected because the test statistic is in the critical region.

Thus, the correct option is (a).

6 0
3 years ago
How many terms are in the bionomial expansion of (3x^4-2y)^7 ??
seropon [69]

Answer:

there is two terms. 3x^4 and 2y)^7

please mark as brainliest

6 0
3 years ago
The volume of 10 drops of a liquid is 0.01 fluid ounce. What is the volume of 1000 drops?
Maslowich
The answer is 10 fluid ounces. 1000 divided by 10 = 100 so if you multiply 0.1 by 100 you get 10. So therefore, 1,000 drops is equal to 10 fluid ounces
3 0
3 years ago
Explain the pattern you can use to find the product when multiplying a whole number by a power of ten. Will this pattern be the
jenyasd209 [6]

Answer:

The pattern is the same when multiplying a whole number and a decimal number by a power of ten.

Step-by-step explanation:

The pattern to use when multiplying a whole number by a power of ten can be expressed as follow:

A whole number is a number without a fraction, so let say we choose 12 as a whole number, and let choose 6¹⁰ as a number with the power of ten.

To multiply these two numbers, we get;

= 12 × 6¹⁰

= 12 × 60466176

= 725594112

Now, the pattern to use when multiplying a decimal by a power of ten.

A decimal number is a number that comprises of a whole number and a fraction number that is being by a decimal point.

Let say our decimal number is 1.2 and our number raised to the power of ten is   6¹⁰

Then, To multiply these two numbers, we get;

= 1.2 × 6¹⁰

= 1.2 × 60466176

= 72559411.2

Thus, the pattern is the same when multiplying a whole number and a decimal number by a power of ten.

6 0
3 years ago
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