Write the expression in standard form.
(8f - 4 + 1g) - (-29 + 7)

Answer:

Step-by-step explanation:

1) slope = m = 3

(4 , 2) ;  x₁ = 4 ; y₁ = 2

y - y₁ = m(x  - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y  = 3x - 12 + 2

y = 3x - 10     {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]

m = 1/4  ; (4 , 0)

y - y₁ = m(x  - x₁)

[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]

Answer:

5009.206

Step-by-step explanation:

The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!

Answer:

4,317.85

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

8 = 0.08%   Turn the percent to a decimal

2000 / 0.08 = 160    Divide it by 2000

160 * 10 = 1600    Mutiply by 10

Have a good day    

Answer:

Sample number 3

Step-by-step explanation:

From the given information:

Sample                   Service life(hours)                Total        Mean(X)

                     1               2            3           4

1                 495         500       505       500       2000        500

2                 525         515       505       515         2060        515

3                 470         480       460       470        1880          470

Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]

Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]

Thus;

[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]

To plot on an X_Bar chart, we have:

Sample        Mean (X)     UCL        LCL

1                      500           520        480

5                     515            520        480

6                     470            520        480

The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.

9514 1404 393

Answer:

  (a)  15/17

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(P) = PQ/PR

  cos(P) = 15/17

6. It's B. x2+y2=25

9. (x + 3)² + (y – 2)² = 25

Hope this helps since this is solved by a 10-year old girl, me.

Answer:

17 1/3 tons of suger

Step-by-step explanation:

2 1/6 * 8 = 17 2/6 or 17 1/3

9514 1404 393

Answer:

  B(5, 4)

Step-by-step explanation:

The midpoint formula is ...

  M = (A +B)/2

Solving for B gives ...

  B = 2M -A

  B = 2(1, -2) -(-3, -8) = (2+3, -4+8) = (5, 4)

The coordinates of B are (5, 4).

Answer:

4. c

6. e, a

Step-by-step explanation:

Hopefully, it correct

Answer:x=-1

Step-by-step explanation:

Answer:

it is 2 1/2

Step-by-step explanation:

I hope this helps

The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.

Answer:

25°

Step-by-step explanation:

Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.

(90) - (65) = (25)

Answer:

B) y/9 = 3

Step-by-step explanation:

What makes an equation is that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.

Only choice B does that

Answer:

3:20

Step-by-step explanation:

6000:40,000

find HCF (2000)

divide both sides by 2000

3:20

Answer:

[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].

Step-by-step explanation:

An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:

[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].

Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:

[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].

By this identity:

[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].

([tex]A = 30^\circ[/tex] in this instance.)

Hence:

[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].

[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].

Answer:

6  5

Step-by-step explanation:

4 5  6 7

Answer:

Hello your question is incomplete attached below is the complete question

answer :  1596 ± 2.861 [tex]\sqrt{\frac{1580^2 }{20 } +\frac{2350^2 }{20 } }[/tex] ------  ( A )

Step-by-step explanation:

I will use excel function to resolve this question

Determine the 99% confidence of interval for the difference in mean  number of steps by all people

∝ = 0.01

critical value ( t ) = 2.861  ( = TINV ( 0.01, 19 )

Given that :

S1 = 1580

S2 = 2350

n1 = 20

n2 = 20

Difference in mean = x1 - x2 = 1596

Margin of Error = t * [tex]\sqrt{\frac{S^2_{1} }{n_{1} } +\frac{s^2_{2} }{n_{2} } }[/tex]

∴  99% confidence of interval

= 1596 ± 2.861 [tex]\sqrt{\frac{1580^2 }{20 } +\frac{2350^2 }{20 } }[/tex] ------

Answer:

|x-11|=6

hope this helps

Step-by-step explanation:

Answer:

aint random

Step-by-step explanation:

The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.

A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.

Random sampling is used in science to conduct blinded studies or randomized control testing.

This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.

Learn more about random sample here:

https://brainly.ph/question/13096146

#SPJ2

Answer:

3375cm

Step-by-step explanation:

because it is asking for volume it is cubed

wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense

The value of g(3.5) is 41.49 to the nearest hundredth

The standard exponential function is given as g(x) = ab^x

If g(-2.5) = 9 and g(2.5) = 45, hence;

9 = ab^-2.5 .............. 1

45 = ab^2.5 .............2

Divide both equations:

9/45 = b^{-2.5-2.5}

1.5 = b^-5

1.5= 1/b^5

b^5 = 0.6666

b = 0.922

Also since 45 = ab^2.5 .

45 = a(0.922)^2.5

45 = 0.81625a

a = 55.13

g(3.5) = 55.13(0.922)^3.5

g(3.5) = 41.49

Hence the value of g(3.5) is 41.49 to the nearest hundredth

Learn more on exponential function here: https://brainly.com/question/12940982

Answer:

the answer to the problem is d

Answer:

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

Step-by-step explanation:

Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

This means that the null hypothesis is:

[tex]H_0: p = 0.11[/tex]

And the alternate hypothesis is:

[tex]H_a: p > 0.11[/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.

0.11 is tested at the null hypothesis:

This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]

Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.

This means that:

[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]

Value of the test statistic:

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

[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]

[tex]z = 3.54[/tex]

Pvalue of the test and decision:

This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.

[tex]z = 3.54[/tex] has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.

Answer:

x ≤-3

Step-by-step explanation:

Answer:

$35.39

Step-by-step explanation:

Answer:

Step-by-step explanation:

D and F are alternate exterior angles

A , D , F ,  G are exterior angles. In this that are on the opposite sides are alternate exterior angles.

Alternate exterior angles:

1) D and F

2) A and G

Answer:

.......

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Take half of b (6/2=3)

Square it (3^2=9)

9514 1404 393

Answer:

  562.5π in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³

where r is the radius, half the diameter.

  V = (4/3)π(7.5 in)³ = 562.5π in³

Answer:

14

Step-by-step explanation:

hope it helps!