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lesya692 [45]
4 years ago
9

Find the distance between the points (-5, -7) and (-4 -8)

Mathematics
1 answer:
Margarita [4]4 years ago
6 0
It should be the square root of 2 (~1.141)
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A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are nequal
UNO [17]
<h2>Answer with explanation:</h2>

Given : Sample size n= 189

Sample mean : \overline{x}=7.58

Sample standard deviation : s=1.93

Let \mu be the population mean of "like" ratings of male dates made by the female dates.

As per question ,

Null hypothesis : \mu\geq8.00

Alternative hypothesis : \mu , It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)

Test statistic:

t_{stat}=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\=\dfrac{7.58-8.00}{\dfrac{1.93}{\sqrt{189}}}=-2.99

For 0.05 significance and df =188 (df=n-1) p-value = .001582. [By t-table]

Since  .001582< 0.05

Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.

Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.

4 0
4 years ago
It is estimated that 7 out of 10 people invited to a wedding will attend. If Mark and Katie invite 120 people, how many should t
Margarita [4]

7 and 10 is half

so we expect the people come to wedding half of 120÷2=60 people

i just try

5 0
3 years ago
A square garden is surrounded by a walk 2 yard wide area. If the area of the walk is 96 square yards, what is the area of the ga
rodikova [14]
The total area around the garden is 48
4 0
3 years ago
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For f(x) = 2x + 1 and g(x) = x^2- 7, find (f - g)(x). ?
Irina18 [472]

Answer:

(f-g)(x)=-x^(2)+2x+8

the solutions are:

<em><u>x=4 or x=-2</u></em>

Step-by-step explanation:

(f-g)(x)=2x+1-(x^(2)-7)

(f-g)(x)=-x^(2)+2x+1+7

(f-g)(x)=-x^(2)+2x+8

does this help or should I solve for the zeros/solutions of this quadratic equation?

then:

-x^(2)+2x+8=0

-(x^(2)-2x-8)=0

x^(2)-2x-8=0

(x-4)(x+2)=0

<em><u>x=4 or x=-2</u></em>

4 0
4 years ago
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Which is the correct label for a right angle in the figure? (check picture for options and figure)​
My name is Ann [436]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
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