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asambeis [7]
1 year ago
9

A grid shows the positions of a subway stop and your house. The subway stop is located at (0,-1), and your house is located at (

-7,-4). What is the distance, to the nearest unit, between your house and the subway stop?

Mathematics
1 answer:
valina [46]1 year ago
6 0

Answer:

Distance between (-7, 8) and (6, 4)

= √ [ (4-8)^2 + (6-(-7))^2 ]

= √ [ (-4)^2 + (13)^2 ]

= √ [ 16 + 169 ]

= √ [ 185 ]

= 13.60

which is 14 units

Step-by-step explanation:

Brainiest?

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National data indicates that​ 35% of households own a desktop computer. In a random sample of 570​ households, 40% owned a deskt
Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

<em><u>Let p = population proportion of households who own a desktop computer</u></em>

SO, Null Hypothesis, H_0 : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, <u><em>test statistics</em></u>  =  \frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }

                               =  2.437

<em>Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.</em>

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0
2 years ago
How do I solve this math question? give full explanation using a formula. ​
lukranit [14]

Answer:

30 short cakes

Step-by-step explanation:

25ml = 10ml + 10ml +5ml

each 10ml of milk can make us 12 short cakes

we can two 10ml of milk (20ml) which can make us 24 short cakes.

but we have 25 ml of milk so how much does 5ml of milk give us if 10ml of milk gives us 12 short cakes ?

5ml makes us 6 short cakes. 24 short cakes plus 6 short cakes =30 shortcakes.

25ml of milk =10ml(12shortcakes)+ 10ml(12 shortcakes)+5ml(6 shortcakes)

6 0
3 years ago
Ishaan is 72 years old and William is 4 years old. How many years will it take until Ishaan is only 5 times as old as William?
KiRa [710]
72+x=5(4+x) solve for x.
4 0
3 years ago
I dont really know how to do soh cah toah. please help me find x.
Ipatiy [6.2K]
First notice that the triangle with sides x,y,a and the triangle with sides z,a+b,x are similar. This is true because the angle between sides x,y in the smaller triangle is clearly 30^\circ, while the angle between sides y,z in the larger triangle is clearly 60^\circ. So the triangles are similar with sides x,y,a corresponding to a+b,z,x, respectively.

Now both triangles are 30^\circ-60^\circ-90^\circ, which means there's a convenient ratio between its sides. If the length of the shortest leg is \ell_1, then the length of the longer leg is \ell_2=\sqrt3\ell_1 and the hypotenuse has length \ell_3=\sqrt{{\ell_1}^2+{\ell_2}^2}=2\ell_1.

Since x is the shortest leg in the larger triangle, it follows that a+b=2x, so a+b=15=2x\implies x=\dfrac{15}2
4 0
3 years ago
Plssssss help me ASAP!!!!!
Pani-rosa [81]

Answer:

6

Step-by-step explanation:

plug in 8 for all p so 4^2 = 16 / 8 x 3 ---> 2 x 3 = 6

6 0
3 years ago
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