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Dennis_Churaev [7]
2 years ago
11

What is the distance between the points (-5,-4) and (3,-3). ​

Mathematics
1 answer:
OverLord2011 [107]2 years ago
6 0

Distance=√[{3-(-5)}²+{-3-(-4)}²]=√[{8}²+{1}²]=√[64+1]=√65

Distance=√65=8.06 (approx)

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o
Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score (60+7(-2), 60+7(2))\\=(46, 74)

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

(\frac{12-60}{7}

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

3 0
3 years ago
Race times at the local monthly 5k run are normally distributed, with a mean time of 32 minutes and a standard deviation of 4 mi
galina1969 [7]

Answer:

68%

Step-by-step explanation:

The mean is 32 minutes, and the standard deviation is 4 minutes.

28 is 1 standard deviation below the mean, and 36 is 1 standard deviation above the mean.

According to the empirical rule, 68% of a normal distribution is between -1 and 1 standard deviations.  95% is between -2 and 2 standard deviations.  99.5% is between -3 and 3 standard deviations.

So the answer is 68%.

7 0
3 years ago
Here is a base-ten diagram that represents 1.13.
Romashka-Z-Leto [24]

Answer: 0.67

Step-by-step explanation:

4 0
3 years ago
Find the variable of each pair
Lera25 [3.4K]
A. X=4
B. Y= 24, X= 6
5 0
3 years ago
If f(x) = x+3 and g(x) = VX-1,<br> what is (fºg)(26)?
scZoUnD [109]

Answer:

26V + 2

Step-by-step explanation:

This is the same as saying f(g(x)), where x = 26

First, lets figure out what g(x) is equal to when x = 26

g(26) = V(26) - 1 = 26V - 1

Now we input 26V - 1 into f(x) for x

f(26V-1) = (26V-1) + 3 = 26V + 2

8 0
2 years ago
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