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liubo4ka [24]
3 years ago
10

Find the distance between the points (8, 1) and (0, 7)

Mathematics
2 answers:
AnnyKZ [126]3 years ago
6 0

Answer: 10

Step-by-step explanation:

Formula : √(xB−xA)2+(yB-yA)2

= √(−8)2+62

= √64+36

= √100 = 10

Nookie1986 [14]3 years ago
5 0

Answer:

the answer would be 10

Step-by-step explanation:

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A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio
natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, \bar{x} = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 24\\H_A: \mu \neq 24

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

Since,  the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0
3 years ago
F(x) = xWhat is g(x)?
Tatiana [17]

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

6 0
3 years ago
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 peop
yKpoI14uk [10]

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

4 0
3 years ago
Alfonso drove his car at an average speed of 80km per hour for a total distance of 440km. How long did he travel to cover this d
Bas_tet [7]
5 and 1/2 hours
hope this helps
6 0
3 years ago
The sides of a rectangular field are
Lyrx [107]

Answer:

Step-by-step explanation

Perimeter of a rectangle =2(length +breadth)

90m = 2{(36x+2) + (2(x+2)}

Opening the inner brackets,

90 = 2{36x +2+2x +4}

90 = 2{38x +6}

Open the brackets

90 = 76x + 12

Collect like terms

90 - 12 = 76x

78=76x

Divide 78 by the coefficient of x

x = 78÷76

x =1.03m (2d.p)

Substitute the value of x into the expressions for the two sides of the rectangle

36x+2 =(36×1.03) +2= 37.08+2=39.08m

2(x+2)= 2(1.03+2)= 2(3.03) =2×3.03= 6.06m

The approximate values of the two sides of d rectangular field are 39.08m and 6.06m

7 0
3 years ago
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