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tatuchka [14]
3 years ago
11

PLEASE HELP QUICK!!!

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

y = 2x + 3

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • Two points are given to us .
  • The points are (3,9) and (0,3) .

And we need to find the equation in slope intercept form. So here we can find the equation of the line using two point form , as ,

\implies y - y_1 = \dfrac{ y_2-y_1}{x_2-x_1}( x - x_1)

  • Now plug in the respective values ,

\implies y - 9 = \dfrac{ 3-9}{0-3}( x - 3) \\\\\implies y - 9 =\dfrac{-6}{-3}( x - 3 ) \\\\\implies y - 9 = 2( x - 3 ) \\\\\implies y - 9 = 2x - 6 \\\\\implies y = 2x - 6 +9 \\\\\implies \boxed{ y = 2x + 3 }

<u>Hence </u><u>the</u><u> </u><u>equation</u><u> </u><u>in </u><u>slope </u><u>intercept</u><u> form</u><u> </u><u>is </u><u>y </u><u>=</u><u> </u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>3</u><u>. </u>

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1/4 of 28 in equivalent fractions
arsen [322]
28/4=7 Therefore 1/4 of 28 is 7
5 0
3 years ago
A sphere has radius of 42 m. If the radius is divided by 6, what is the effect on the surface area? HELP ASAP!
Tatiana [17]

A sphere with radius r has surface area 4\pi r^2. Divide the radius by 6 and you get a surface area of 4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2, so that the final surface area is divided by 36.

7 0
3 years ago
Construct a 90% confidence interval for μ1-μ2 with the sample statistics for mean calorie content of two​ bakeries' specialty pi
DIA [1.3K]

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (<u>49</u>) < μ₁ - μ₂ < (<u>289)</u>

Step-by-step explanation:

The given data are;

Bakery A

\overline x_1<em> </em>= 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

\overline x_2<em> </em>= 1,711 cal

s₂ = 192 cal

n₂ = 10

\left (\bar{x}_1-\bar{x}_{2}  \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2}  \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, t_c = 1.706

\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}

\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469

\hat \sigma ≈ 178

Therefore, we get;

\left (1,880-1,711  \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711  \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}

Which gives;

169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

4 0
3 years ago
Help please, w-5-4= -8-6w+8w?​
balandron [24]

Answer:

w = -1

Step-by-step explanation:

  • w-5-4= -8-6w+8w                      ⇒ simplify
  • w - 9 = - 8 + 2w                          ⇒ add 9 - 2w to both sides
  • w - 2w = - 8 + 9                          ⇒ simplify
  • -w = 1                                           ⇒ multiply both sides by -1
  • w = -1                                           ⇒ answer
4 0
3 years ago
Read 2 more answers
Math help please! Ty!
Klio2033 [76]
C because twice the difference of a number and 5
                       2                (n-5)                                  
or it can be wrtten as 2(x-5)          
8 0
3 years ago
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