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VikaD [51]
3 years ago
11

Evaluate 3h(2) + 2k(3) =

Mathematics
2 answers:
Setler79 [48]3 years ago
7 0

Answer:

<h2>6h + 6k</h2>

Step-by-step explanation:

3h\left(2\right)+2k\left(3\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=3h\times \:2+2k\times \:3\\\\\mathrm{Multiply\:the\:numbers:}\:3\times \:2=6\\\\=6h+2\times \:3k\\\\\mathrm{Multiply\:the\:numbers:}\:2\times \:3=6\\\\=6h+6k

tangare [24]3 years ago
4 0

Answer:

Answers for E-dge-nuityyy

Step-by-step explanation:

(h + k)(2) = 5

(h – k)(3) = 9

Evaluate 3h(2) + 2k(3) = 17

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A man borrowed $3700 from a bank for 6 months. A friend was co-signer of the mans personal note. The bank collected 8.5% simple
Tpy6a [65]

Answer:

(A) $157.25

(B) $3,857.25

Step-by-step explanation:

The given values are:

Principle (P)

= $3700

Time (T)

= 6 months i.e., 1/2 years

Rate (R)

= 8.5%

(A)

As we know,

Simple Interest,

⇒  SI=\frac{P\times R\times T}{100}

On putting the values, we get

⇒       =\frac{3700\times 8.5\times \frac{1}{2} }{100}

⇒       =\frac{15,725}{100}

⇒       =157.25 ($) (he paid for the use of money)

(B)

Amount he paid to the bank will be:

⇒  P+SI

⇒  3700+157.25

⇒  3,857.25 ($)

8 0
3 years ago
Pedro, Lena, Harriet, and Yermin each plot a point to approximate StartRoot 0.50 EndRoot. Pedro A number line going from 0 to 0.
Scilla [17]

Answer:

Yermin. √0.5 will be at Yermin's point

Step-by-step explanation:

Say Pedro line point is 0.25

Lena is 0.45

Harriet is 0.5

and Yermin is 0.7

The √0.5 = 0.707

≈ 0.7

Therefore it is at Yermin's point

5 0
3 years ago
Read 2 more answers
Molly wants to pursue a graduate degree at New University but is unsure whether to specialize in law or medicine. To help her de
Mashutka [201]

Answer:

Molly's Z score for LSAT

z-score=-2

Molly's Z score for MCAT

z-score=2

Step-by-step explanation:

z-score for LSAT

Molly's score=120

mean=150

Standard deviation=15

z-score= (Molly LSAT score-mean)/standard deviation

z=120-150/15=-30/15=-2

z-score for MCAT

Molly's score=52

mean=40

Standard deviation=6

z-score= (Molly MCAT score-mean)/standard deviation

z=52-40/6=12/6=2

3 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
What is the solution to the system of equations below?
katen-ka-za [31]

4x  - y =  - 5 \\  - 2x + y = 3

Solve the second equation for y

4x - y =  - 5 \\ y = 3 + 2x

Substitute the given value of y into the first equation

4x - (3 + 2x) =  - 5

Solve the equation for x

x =  - 1

Substitute the given value of x into the second equation

y = 3 + 2( - 1)

Solve the equation for y

y = 1

The possible solution of the system is the ordered pair (x,y)

(x,y) = ( - 1, 1)

7 0
2 years ago
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