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4 years ago

(5x-1)(6xsquared +3x+7) show steps

Mathematics

1 answer:

shtirl [24]4 years ago

7 0

Hope this will help u..✌✌✌✌☝

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The ratio of men to women working for a company is 4 to 7. If there are 231 employees TOTAL, how many WOMEN work for the company

sasho [114]

Answer:

Step-by-step explanation:

4:7::4x:7x

4x+7x=231

11x=231

x=231/11=21

women=7x=7×21=147

6 0

3 years ago

The weights of 83 randomly selected windshields were found to have a variance of 1.88. Construct the 95% confidence interval for

Morgarella [4.7K]

Answer:

95% confidence interval for the population variance = (1.42 , 2.62).

Step-by-step explanation:

We are given that the weights of 83 randomly selected windshields were found to have a variance of 1.88.

So, firstly the pivotal quantity for 95% confidence interval for the population variance is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, $s^{2}$ = sample variance = 1.88

$\sigma^{2}$ = population variance

n = sample of windshields = 83

So, 95% confidence interval for population variance, $\sigma^{2}$ is;

P(58.85 < $\chi^{2} __8_2$ < 108.9) = 0.95 {As the table of $\chi^{2}$ at 82 degree of freedom

gives critical values of 58.85 & 108.9}

P(58.85 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 108.9) = 0.95

P( $\frac{ 58.85}{(n-1)s^{2} }$ < $\frac{1 }{\sigma^{2} }$ < $\frac{108.9}{(n-1)s^{2} }$ ) = 0.95

P( $\frac{ (n-1)s^{2}}{108.9 }$ < $\sigma^{2}$ < $\frac{ (n-1)s^{2}}{58.85 }$ ) = 0.95

95% confidence interval for $\sigma^{2}$ = ( $\frac{ (n-1)s^{2}}{108.9 }$ , $\frac{ (n-1)s^{2}}{58.85 }$ )

= ( $\frac{ (83-1)\times 1.88}{108.9 }$ , $\frac{ (83-1)\times 1.88}{58.85 }$ )

= (1.42 , 2.62)

Therefore, 95% confidence interval for the population variance of the weights of all windshields in this factory is (1.42 , 2.62).

8 0

3 years ago

Which unit rate is the lowest price per ounce? Choice A: 10 ounces of chocolate chips for $1.66 Choice B: 20 ounces of chocolate

Goryan [66]

C.

To find out the rates, you must multiply or divied the ounces and price of on bag of chips to equal the other.

You can divied the 20 ounces into 10 ounces, so you must also divide 3.32 by.
The equals 1.66

8 0

3 years ago

Read 2 more answers

Pls help me answer this !!

krek1111 [17]

We want our exponential function to look like

y = ab^x.

Let a = the initial y-value.

Our initial value is the first number given for f(x). So, a = 3.

Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.

We find b by division.

So, b = the next number divided by the previous.

So, b = 6/3 = 2.

We now plug in our values into the general formula above.

y = ab^x

Answer: y = (3)(2)^x

4 0

3 years ago

What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the r

boyakko [2]

Answer:

The coordinates of the point X:

(x, y) = (-1, -7)

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

$\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)$

$\left(x_2,\:y_2\right)=\left(5,-1\right)$

Rise = y₂ - y₁

$= -1 - (-8)$

$= -1 + 8$

$= 7$

Run = x₂ - x₁

$= 5 - (-2)$

$= 5 + 2$

$= 7$

1 : 6 ratio means the point X lies at

$\frac{1}{6+1}=\frac{1}{7}=14\%$

Thus,

rise for X $=\:7\:\times \:14\%=1$

run for X $=\:7\:\times \:14\%=1$

Thus, coordinates of X will be:

$x = -2 + 1 = -1$

$y = -8 + 1 = -7$

Therefore, we conclude that:

The coordinates of the point X:

(x, y) = (-1, -7)

8 0

3 years ago