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yKpoI14uk [10]
3 years ago
15

Help please will give thanks

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

25

Step-by-step explanation:

Pythagorean Theorum- A squared +B squared = C squared

24 squared+7 squared= 625

sqrt of 625=25

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4^-2 x 7^-2 equivalent expression
Savatey [412]

Answer:

Not sure exactly which equivalent expression you are looking for but my goal would be to write it without the negative exponent.

\frac{1}{28^2}

Step-by-step explanation:

They have the same exponent and it is multiplication.

There is a law of exponent that says (a \cdot b)^x=a^x \cdot b^x .

So we have 4^{-2} \cdot 7^{-2} equals (4 \cdot 7)^{-2}.

Let's simplify (4*7)^(-2).

Since 4*7=28, we can say (4*7)^{-2}=(28)^{-2}.

Some people really hate that negative exponent. All that - in the exponent means is reciprocal. So 28^{-2}=\frac{1}{28^2}.

8 0
3 years ago
How do I simplify 3⁶ x 3⁵​
elena55 [62]

Answer:

3^{11}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)} thus

3^{6} × 3^{5} = 3^{(6+5)} = 3^{11}

6 0
3 years ago
Read 2 more answers
At Jaxlyn’s Garage, 200 cars were inspected and worked on. There were 92 cars that
Ira Lisetskai [31]

Answer:

A) 0.26

B) 0.42

Step-by-step explanation:

No. of cars which needed both:

92 + 136 - (200 - 24)

52

P(both) = 52/200 = 0.26

No. of cars that need an alternator, but not new brakes:

136 - 52

84

P = 84/200 = 0.42

6 0
3 years ago
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
IRINA_888 [86]

Answer:

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

<u>Step-by-step explanation</u>:

<u><em>Explanation</em></u>:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

<em>Let    'X'  = 73</em>

<em></em>Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2<em></em>

<em>Let  'X' = 84</em>

<em></em>Z = \frac{84-51}{11} = 3<em></em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 )      = P( 2 < Z < 3)</em>

<em>                               = P( Z<3) - P( Z <2)</em>

<em>                              =  0.5 + A(3) - ( 0.5 + A(2))</em>

<em>                             = A(3) - A( 2)</em>

<em>                             = 0.49865 - 0.4772     ( From Normal table)</em>

<em>                             = 0.02145</em>

<em>  P( 73 < x < 84 ) = 0.02145</em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

7 0
3 years ago
For an independent-measures research study (i.e., independent measures t Test), the data show an 8-point difference between the
zloy xaker [14]

Answer:

C. 2

Step-by-step explanation:

Cohen's d is a parameter used to express the standardised difference between two means. It is defined as the difference between the means divided by the pooled standard deviation.

In this case, the difference between both means (M2-M1) is 8. As for the pooled standard deviation, simply take the square root of the given pooled variance:

S=\sqrt{S^2}\\S=\sqrt{16} \\S= 4

Therefore, the value of Cohen's d (d) is:

d=\frac{M_{2} -M_{1}}{S} \\d=\frac{8}{4}\\d=2

7 0
3 years ago
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