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prisoha [69]
3 years ago
13

What is the hypotenuse of 28 and 45

Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

a² + b² = c²

28² + 45² = c²

784 + 2025 = 2809

Square root of 2809 is 53

The hypotenuse is 53

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The mean of a normal probability distribution is 500 and the standard deviation is 10. about 95 percent of the observations lie
PIT_PIT [208]

Answer:

So about 95 percent of the observations lie between 480 and 520.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

The mean is 500 and the standard deviation is 10.

About 95 percent of the observations lie between what two values?

From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.

So about 95 percent of the observations lie between 480 and 520.

5 0
4 years ago
A ball is kicked 4 feet above the ground with an initial vertical velocity of 51 feet per second. The function h(t)=−16t²+51t+4
uysha [10]

Answer:

0.6 seconds to 2.6 seconds

Step-by-step explanation:

From the graph the ball reaches 28 feet after 0.574 seconds

and doesn't fall below that until 2.614 seconds

0.574 rounded is 0.6 seconds

2.614 rounded is 2.6 seconds

4 0
3 years ago
Read 2 more answers
Find the measures of the numbered angles in each rhombus. So find 1 2 and 3
lakkis [162]

Answer:

1) 120

2) 30

3) 30

Step-by-step explanation:

Angle 1 is the same as the angle shown at 120

Use that to find 2, which is also 3

so 180-120 = 60

divide by 2

2 and 3 are both 30 each

6 0
3 years ago
D − 21.4 = 87 . Help! What is D?
Vesnalui [34]

Answer:

108.4

Step-by-step explanation:

3 0
4 years ago
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Hey sandwich shop has 80 stores and 60% of the stores are in California the rest of the stores are in Nevada how many stores are
umka2103 [35]

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 80}}{\left( \cfrac{60}{100} \right)80}\implies 48~\hfill \begin{array}{cllll} \stackrel{california}{\underset{60\%}{48}}\\\\ \stackrel{nevada}{\underset{the~rest}{32}} \end{array}

6 0
3 years ago
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