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Elena-2011 [213]
3 years ago
13

_+6 +2 = 6 + 10 Find the missing number

Mathematics
2 answers:
Sauron [17]3 years ago
4 0
574=30303 equals that
prohojiy [21]3 years ago
4 0

Answer: 8

Step-by-step explanation:

_6+2=16

_+8=16

x=8

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Can someone please help me answer these questions? Fill in the blank
agasfer [191]
1. 100
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△ABC is similar to △QRS by the AA Similarity Postulate . The measure of ∠A is 72º and the measure of ∠S is 56º.
Inessa [10]
A △  Has to have 180º so 72+56 b would have to be appx. 52degrres 
8 0
3 years ago
What is the answer to -2x+3=x-6 ?
saveliy_v [14]

Answer:

x=3

Step-by-step explanation:

-2x+3=x-6

-3x+3=-6

-3x=-9

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3 years ago
What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32
denis23 [38]

Answer:

Option (d) is correct.

\sqrt{10000x^{64}}=100x^{32}

Step-by-step explanation:

Given : Expression \sqrt{10000x^{64}}

We have to write a simplified form of the given expression \sqrt{10000x^{64}}

Consider the given expression \sqrt{10000x^{64}}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

=\sqrt{10000}\sqrt{x^{64}}

Factor 10000 as 10000=100^2

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a

\sqrt{100^2}=100

also, \mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0

We have,

\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}

Thus, \sqrt{10000x^{64}}=100x^{32}

8 0
3 years ago
Read 2 more answers
A sample of 81 account balances of a credit company showed an average balance of $1,200 with a standard deviation of $126.
TEA [102]

Answer:

(a) Null Hypothesis, H_0 : \mu = $1,150  

    Alternate Hypothesis, H_A : \mu \neq $1,150

(b) The test statistic is 3.571.

(c) We conclude that the mean of all account balances is significantly different from $1,150.

Step-by-step explanation:

We are given that a sample of 81 account balances of a credit company showed an average balance of $1,200 with a standard deviation of $126.

We have test the hypothesis to determine whether the mean of all account balances is significantly different from $1,150.

<u><em>Let </em></u>\mu<u><em> = mean of all account balances</em></u>

(a)So, Null Hypothesis, H_0 : \mu = $1,150     {means that the mean of all account balances is equal to $1,150}

Alternate Hypothesis, H_A : \mu \neq $1,150    {means that the mean of all account balances is significantly different from $1,150}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                               T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average balance = $1,200

             s = sample standard deviation = $126

             n = sample of account balances = 81

(b) So, <u>test statistics</u>  =  \frac{1,200-1,150}{\frac{126}{\sqrt{81} } }  ~ t_8_0

                               =  3.571

The value of the sample test statistics is 3.571.

(c) <u>Now, P-value of the test statistics is given by the following formula;</u>

          P-value = P( t_8_0 > 3.571) = <u>Less than 0.05%</u>

Because in the t table the highest critical value for t at 80 degree of freedom is given between 3.460 and 3.373 at 0.05% level.

Now, since P-value is less than the level of significance as 5% > 0.05%, so we sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean of all account balances is significantly different from $1,150.

8 0
3 years ago
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