solve the system of equations y=3x+2 y=x^2+2

9514 1404 393

Answer:

  row 13

Step-by-step explanation:

The sum of row n is 2^n, so the row number with a particular sum is ...

  2^n = sum

  n·log(2) = log(sum)

  n = log(sum)/log(2)

The row with sum 8192 is ...

  n = log(8192)/log(2) = 13

The row of Pascal's triangle that has a sum of 8192 is row 13.

Answer:

87.5%

Step-by-step explanation:

Complete question  -

75% of the people who eat at Doug's Diner order fish and 90% of the people who order fish also order fries. Given that 80% of all people who eat at Doug's order fries, what is the probability that a randomly chosen customer orders fries without fish?

Solution

Given

People who order fish at the Doug's Diner  = 75%

Out of this 75%, 90% also order  fries which means that nearly 67.5% ordered fries with the fish.

Given that, 80% of people dining at Doug's Diner order fries

Then percentage or people who ordered only fires and no fish = 80% - 67.5% = 12.5%

The probability of customers who ordered fish = 100 - 12.5% = 87.5%

Answer:

the first one

-14m - 7m + 1 = - 7m + 1

Answer:

x = 1.2

Step-by-step explanation:

We can use a ratio to solve since they are similar triangles

6        (6+4)

----- = ---------

x             2

Using cross products

6*2 = (6+4)*x

12 = 10x

Divide by 10

12/10 = x

1.2 =x

Hope this help!!!

Have a nice day!!!

Step-by-step explanation:

[tex]\frac{( \csc x+1)( \csc x-1)}{ \csc ^2x} = \frac{ { \csc }^{2} x - 1}{ \csc^{2} x} \\ = 1 - \sin^{2} x = \cos^{2} x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

b. Since csc theta = 1/sin theta, we can multiply both sides by sin theta and you will end up with

[tex] \cos^{2} \theta + \sin^{2} \theta = 1[/tex]

which is an identity.

Answer:

y = $0.50x + $5. $7 if you went 4 miles

Step-by-step explanation:

$0.50 will be the coefficient for the variable x since the amount changes based on how many miles you ride. $5 will be the amount you are charged just for getting into the taxi and doesn't change depending on how many miles you go.

[tex]y=0.50x+5[/tex]

I used x = 4 for the number of miles travelled.

[tex]y=0.50(4)+5[/tex]

[tex]y=2+5[/tex]

[tex]y=[/tex] $7 total cost

Answer:

M) = 17

Step-by-step explanation:

You stated the answer right there. I think the question is missing more info but for now M=17

Answer:

B

Step-by-step explanation:

Answer:

B EDGE

Step-by-step explanation:

Let Joes average = x

Phil’s average is 0.250 and is 5/6X ( 5/6 of Joe’s)

5/6x = 0.250

Solve for x by dividing both sides by 5/6. When dividing by a fraction, flip the fraction over and multiply;

X = 0.250 x 6/5 = (0.250 x 6)/5 = 1.5/5 = 0.30

Joes average is 0.3

[tex] \large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \$ \: 583.3125}}}}[/tex]

[tex] \large{ \tt{❃ \: FIRST \: METHOD }} : [/tex]

This method is related to the unitary method. Let's start :

[tex] \large{ \tt{❃ \: SECOND \: METHOD}} : [/tex]

This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :

[tex] \large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}} [/tex]

[tex] \large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}[/tex]

[tex] \large{ \tt{↦x = \$ \: 583.3125}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

(x-8)(x+4-i)=x^2+4x-ix-8x-32+8i=x^2-(4+i)x-32+8i

y=x^2-(4+i)x-32+8i

Check:

D=16+8i-1+128-32i=143-24

9514 1404 393

Answer:

  4

Step-by-step explanation:

2/3 = 4/6

There are four 1/6-cup servings of rice in 4/6 cups of rice.

Answer:

y=30x+4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

7^2+8^2 does NOT equal 9^2

A. (7,8,9)


Did the test just now.

Answer:

222

Step-by-step explanation:

What I did was calculate the area of each sides of the triangular prism.

For the two triangles:

1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)

For the 2 rectangles:

5x12=60 x2 = 120

For the base:

6x12=72

Add all them together we get 222

Answer:

c) it appears to be sound because the data are not biased in anyway.

Step-by-step explanation:

From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.

Answer:

x=7

Step-by-step explanation:

take 30 degree as reference angle

using sin tan rule

tan 30=opposite/adjacent

[tex]\frac{1}{\sqrt{3} }[/tex]=x/[tex]7\sqrt{3}[/tex]

[tex]\frac{1}{\sqrt{3} }[/tex] *[tex]7\sqrt{3}[/tex]

[tex]7\sqrt{3} /\sqrt{3}[/tex]

7=x

Answer:

??

Step-by-step explanation:

Answer:

The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care

Step-by-step explanation:

A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high.

At the null hypothesis, we test if the proportion is of at least 34%, that is:

[tex]H_0: p \geq 0.34[/tex]

At the alternative hypothesis, we test if the proportion is less than that, that is:

[tex]H_1: p < 0.34[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.34 is tested at the null hypothesis:

This means that [tex]\mu = 0.34, \sigma = \sqrt{0.34*0.66}[/tex]

In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care.

This means that [tex]n = 80, X = \frac{23}{80} = 0.2875[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.2875 - 0.34}{\frac{\sqrt{0.34*0.66}}{\sqrt{80}}}[/tex]

[tex]Z = -0.99[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.2875, which is the p-value of Z = -0.99.

Looking at the Z-table, Z = -0.99 has a p-value of 0.1611.

The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care

Answer:

the anser is 54 cm square (30+15+9)

Answer:

it area is 54 cm square

Step-by-step explanation:

===================================================

Explanation:

16/31 represents the probability of picking a white marble

This is because there are 16 white out of 15+16 = 31 total.

---------

After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.

Multiply those two fractions:

(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31

which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).

Answer:

x = 48.

Step-by-step explanation:

AE and EC are equivalent. Subtract 9 from 921, and divide by 19 to get the value of x, which is 48.

here is the answer

mark me in the brainlist

thanks

Step-by-step explanation:

(1.00)³⁶⁵

=1

1 power any natural number is 1

Answer:

1

Step-by-step explanation:

(1.00)^365

it means to multiply (1 .00) 365 times

Answer:

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

you did not have to come on here for this annswer could have subtracted -7-3=-10

Answer:

Step-by-step explanation:

Any question that has less in it, is a question that you should pay attention to.

-7 -3 = - 10

You have to think of this the way you would money. Which would you rather owe - 7 dollars or - 10 dollars. Surely you would say that - 7 is better than - 10.

So - 10 looks like it is  three less than - 7

It works if the money thing makes sense to you.

If that doesn't work then think of a number line. As you keep on going left, the number looks like it is getting bigger, but is it. Again - 10 is smaller than - 7.

If you are talking about plus numbers then 3 less then 7 is not 10. It is 4.

Answer:

x - 5

Step-by-step explanation:

[tex]((x - 5) {}^{ \frac{3}{2} } ) {}^{ \frac{2}{3} } [/tex]

[tex](x - 5) {}^{ \frac{3}{2} } { \times }^{ \frac{2}{3} } [/tex]

[tex](x - 5) {}^{ \frac{6}{6} } [/tex]

[tex](x - 5) {}^{1} [/tex]

Therefore x - 5

Answer:

option 1

Step-by-step explanation:

edge 2023