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egoroff_w [7]
4 years ago
11

Simplify 4(b-6)+19 ?

Mathematics
1 answer:
Digiron [165]4 years ago
4 0

Answer:

4b -5

Step-by-step explanation:

Perform the indicated multiplication first:  4b - 24 + 19.  Next, combine like terms, obtaining 4b -5 (answer)

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Your​ school's talent show will feature 16 solo acts and 2 ensemble acts. The show will last 104 minutes. The 8 solo performers
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Solo Act lasted for 6 mins and ensemble acts lasted for 15 mins.

Step-by-step explanation:

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A plumber is laying pipe. His assistant digs a trench in roughly the shape of a rectangular solid measuring 150 ft. in length, 9
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Volume of trench = Amount of earth removed
Volume of trench = length x width x height = 150 x 12/12 x 9/12 = 150 x 1 x 3/4 = 112.5 cubic feet

Therefore, he removed 112.5 cubic feet of earth.
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Limone's Lemonade Corp. has a savings plan for its employees. If an employee makes an initial contribution of $1,000.00, the com
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7 0
3 years ago
A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he
Orlov [11]

Answer:

We conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

Step-by-step explanation:

We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

Among 264264 ​trials, the touch therapists were correct 105105 times.

<u><em>Let p = proportion that touch therapists uses a random guess method.</em></u>

Here, random guess means; p = 50%

So, Null Hypothesis, H_0 : p = 50%     {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, H_A : p \neq 50%     {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                         T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p  = sample proportion of touch therapists were correct = \frac{105}{264} = 0.39

            n = sample of trials = 264

So, <em><u>test statistics</u></em>  =  \frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }  

                                =  -3.395

The value of z test statistics is -3.395.

<em>Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

3 0
3 years ago
i know the answer now is 540 after 3 hours of trying to figure out the "least common multiple" but what does the 3rd number "10"
OLga [1]
It is either A,B, Pr D. It will at the least have to be a common multiple of 10.
6 0
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