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3 years ago

Plz help will mark brainlest

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

The answer is one because there are two number greater than or equal to 50 but only one greater than

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A bag contains 5 red balls and 3 blue balls. A ball is picked at random from the bag and not replaced. Another ball is then pick

viktelen [127]

Answer:

13/28

Step-by-step explanation:

Given

5 red ball
3 blue ball

8 total balls

p(r and r) = 5/8*4/7 = 5/14
p(b and b) = 3/8*2/7= 3/28

Added up

5/14 + 3/28 = 10/28 + 3/28 = 13/28

Probability of 2 same colored balls is 13/28

5 0

3 years ago

The first four terms of an arithmetic sequence are given.

sasho [114]

Answer:

$a_6_0=322$

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

$a_n=a_1+d(n-1)$

where

d is the common difference

a_1 is the first term

we have that

$a_1=27\\a_2=32\\a_3=37\\a_4=42$

$a_2-a_1=32-27=5$

$a_3-a_2=37-32=5$

The common difference is d=5

$a_4-a_3=42-37=5$

Find 60th term of the sequence

$a_n=a_1+d(n-1)$

we have

$a_1=27\\d=5\\n=60$

substitute

$a_6_0=27+5(60-1)$

$a_6_0=27+5(59)$

$a_6_0=322$

5 0

4 years ago

In a multiple regression equation, two independent variables are considered, and the sample size is 30. The regression coefficie

MAXImum [283]

Answer:

Both the variables are important for the regression analysis and cannot be deleted.

Step-by-step explanation:

(1)

The hypothesis for for the testing of coefficient β₁ are:

H₀: β₁ = 0 vs. Hₐ: β₁ ≠ 0

The test statistic is:

$t=\frac{b_{1}}{S_{b_{1}}} =\frac{2.815}{0.75}= 3.753$

It is provided that H₀ is rejected if t > 2.042.

The test statistic value, t = 3.753 > 2.042.

Thus, the null hypothesis is rejected.

Conclusion:

There is a significant relationship between the regression variable and the dependent variable.

(2)

The hypothesis for for the testing of coefficient β₂ are:

H₀: β₂ = 0 vs. Hₐ: β₂ ≠ 0

The test statistic is:

$t=\frac{b_{2}}{S_{b_{2}}} =\frac{-1.249}{0.41}= -3.046$

It is provided that H₀ is rejected if t < -2.042.

The test statistic value, t = -3.046 < -2.042.

Thus, the null hypothesis is rejected.

Conclusion:

There is a significant relationship between the regression variable and the dependent variable.

Thus, both the variables are important for the regression analysis and cannot be deleted.

7 0

3 years ago

Which expression is equivalent??? help!

dexar [7]

Answer:

The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

Step-by-step explanation:

Given:

$\sqrt[3]{256x^{10}y^{7} }$

Solution:

We will see first what is Cube rooting.

$\sqrt[3]{x^{3}} = x$

Law of Indices

$(x^{a})^{b}=x^{a\times b}\\and\\x^{a}x^{b} = x^{a+b}$

Now, applying above property we get

$\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})$

∴ The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

5 0

3 years ago

Which expressions are equivalent to 5x-15? Select three options B,C,E

sattari [20]

Answer:

5(x-3)

Step-by-step explanation:

5(x - 3)

= 5*x - 5*3

= 5x - 15

5 0

4 years ago