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2 years ago

7g - 6 = -20 what is the answer

Mathematics

2 answers:

Brut [27]2 years ago

7 0

7g - 6 = -20

Add 6 to both sides

7g = -14

Divide both sides by 7
g = -2

answer: g = -2

Papessa [141]2 years ago

3 0

Answer:

-2

Step-by-step explanation:

7 negative 2's equals negative 14, minus 6 equals negative 20.

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A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed

AURORKA [14]

Answer:

A 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].

Step-by-step explanation:

We are given that Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured.

For the 25-mil film, the sample data result is: Mean Standard deviation 1.15 0.11 and For the 20-mil film the data yield: Mean Standard deviation 1.06 0.09.

Firstly, the pivotal quantity for finding the confidence interval for the difference in population mean is given by;

P.Q. = $\frac{(\bar X_1 -\bar X_2)-(\mu_1- \mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t__n_1_+_n_2_-_2$

where, $\bar X_1$ = sample mean speed for the 25-mil film = 1.15

$\bar X_1$ = sample mean speed for the 20-mil film = 1.06

$s_1$ = sample standard deviation for the 25-mil film = 0.11

$s_2$ = sample standard deviation for the 20-mil film = 0.09

$n_1$ = sample of 25-mil film = 8

$n_2$ = sample of 20-mil film = 8

$\mu_1$ = population mean speed for the 25-mil film

$\mu_2$ = population mean speed for the 20-mil film

Also, $s_p =\sqrt{\frac{(n_1-1)s_1^{2}+ (n_2-1)s_2^{2}}{n_1+n_2-2} }$ = $\sqrt{\frac{(8-1)\times 0.11^{2}+ (8-1)\times 0.09^{2}}{8+8-2} }$ = 0.1005

Here for constructing a 98% confidence interval we have used a Two-sample t-test statistics because we don't know about population standard deviations.

So, 98% confidence interval for the difference in population means, ( $\mu_1-\mu_2$ ) is;

P(-2.624 < $t_1_4$ < 2.624) = 0.98 {As the critical value of t at 14 degrees of

freedom are -2.624 & 2.624 with P = 1%}

P(-2.624 < $\frac{(\bar X_1 -\bar X_2)-(\mu_1- \mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ < 2.624) = 0.98

P( $-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ < $2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ < ) = 0.98

P( $(\bar X_1-\bar X_2)-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ < ( $\mu_1-\mu_2$ ) < $(\bar X_1-\bar X_2)+2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ) = 0.98

98% confidence interval for ( $\mu_1-\mu_2$ ) = [ $(\bar X_1-\bar X_2)-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ , $(\bar X_1-\bar X_2)+2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ]

= [ $(1.15-1.06)-2.624 \times {0.1005 \times \sqrt{\frac{1}{8}+\frac{1}{8} } }$ , $(1.15-1.06)+2.624 \times {0.1005 \times \sqrt{\frac{1}{8}+\frac{1}{8} } }$ ]

= [-0.042, 0.222]

Therefore, a 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].

Since the above interval contains 0; this means that decreasing the thickness of the film doesn't increase the speed of the film.

7 0

3 years ago

Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.

Daniel [21]

Answer:

534,070.75 miles

Step-by-step explanation:

The circumference formula is $d\pi$ or $2r\pi$ .

But since we're given the diameter, 170,000, all we have to do is multiply it by $\pi$ .

$170000*\pi = 534070.75 (Rounded)$

3 0

3 years ago

Can a chord also be classified as a radius?

klemol [59]

No.

A chord is a straight segment that joins two points of the circumference. It starts at a point in the circumference and ends at other point in the circumference.

The radius goes from the center of the circle (which is not on the circumference) to one point of the circumference.

The diameter is a chord (the largest chord possible); but not the radius.

5 0

3 years ago

Read 2 more answers

Find all real zeros of number 11

tensa zangetsu [6.8K]

The answer is, $x = 4, \frac{3}{2}, -7$

I'm about to basically type up a report on explaining this answer so bear with me :P

Step 1.) Factor $2x^{3}+ 3x^{2} +65x+84$ using Polynomial Division.

Just a basic rundown of what polynomial division is. When using polynomial division for this problem we find all the factors of our constant, 84, and then see which one, when substituted for x, makes the expression equal zero. After we find our variable that makes the problem equal zero, we divide it into our original expression. Here's how it's done:

These are our factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

strating from one and plugging in these numbers, the first one we come upon that works is 4. So, now we will divide. below is a picture of what it should look like.

After we divide, we get an answer of $( 2x^{2} +11x-21)(x-4)$

Step 2.) split $( 2x^{2} +11x-21)(x-4)$ into two terms

To do that we multiply the coefficient of the first term (2) by the constant (-21)
So: $2*-21=-42$

Now we ask "which two numbers add up to equal 11, but multiply to equal -42". Those two numbers are 14 and -3.

Now we basically split 11x as the sum of 14 and -3. So now our problem should look like this: $(2x^{2}+14x-3x-21) (x-4)$

Step 3.) Factor out the common terms in the first two terms, then the last two like this:

From this: $(2x^{2}+14x-3x-21) (x-4)$

To this: $(2x(x+7)-3(x+7))(x-4)$

Step 4.) Factor the term (x + 7) out of the parenthesis

After we do that, we are left with our problem looking like this:

$(x+7)(2x-3)(x-4)$

The last thing we do is set each parenthesis equal to zero and work it out to find our zeros.

$(x+7) = 0$
$x = -7$

$(2x-3) =0$
$x = \frac{3}{2}$

$(x-4)=0$
$x=4$

That gives us our answer of our zeros being $x = 4, \frac{3}{2}, -7$

Thank you for our question! I hope this helped! Have an amazing day! :D

4 0

3 years ago

Summer workers for the Auster Landscaping Company make $14 an hour. One worker’s job was to create a stone wall for 4 hours. The

Rudiy27

Answer:

Step-by-step explanation:

4 0

3 years ago