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2 years ago

Evaluate the expression a•b for a =24 and b=8

Mathematics

1 answer:

Butoxors [25]2 years ago

4 0

$\huge\text{Hey there!}$

$\mathsf{a\times b}}$

$\mathsf{= 24\times8}$

$\mathsf{= 192}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{192}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>~ $\frak{Amphitrite1040:)}$ </h3>

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Claim: The standard deviation of pulse rates of adult males is less than 11 bpm. For a random sample of 132 adult males, the pu

seraphim [82]

Answer:

$\chi^2 =\frac{132-1}{121} 114.49 =123.952$

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=132$ represent the sample size

$\alpha$ represent the confidence level

$s^2 =10.7^2 =114.49$ represent the sample variance obtained

$\sigma^2_0 =11^2=121$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is violated, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 121$

Alternative hypothesis: $\sigma^2$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{132-1}{121} 114.49 =123.952$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 131. And since is a right tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(123.952,131,TRUE)"

5 0

3 years ago

Help me please- thank you

riadik2000 [5.3K]

Answer:

y=-8/5x+4

Step-by-step explanation:

The slope of perpendicular lines is the opposite reciprocal of the original equation.

To get the opposite reciprocal, flip the fraction and use the opposite sign.

Here, the slope is -8/5 because that is the opposite of 5/8.

To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.

Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.

y+4=-8/5(x-5)

Multiply (x-5) by -8/5 and simplify.

y+4=-8/5x+8

y=-8/5x+4

8 0

3 years ago

Hey! Please, I REALLY need this. Thanks for helping!

shtirl [24]

Answer:

I wont be able to graph it for you, best way is to use desmos or wolfram alpha. This is very easy but since i cant draw it would be difficult to explain. Sorry.

Step-by-step explanation:

6 0

3 years ago

Ayesha has a theory about two digit numbers that have a larger tens digit than ones digit. she says that reversing the digits an

stira [4]

<span>Ayesha's right. There's a good trick for knowing if a number is a multiple of nine called "casting out nines." We just add up the digits, then add up the digits of the sum, and so on. If the result is nine the original number is a multiple of nine. We can stop early if we recognize if a number along the way is or isn't a multiple of nine. The same trick works with multiples of three; we have one if we end with 3, 6 or 9.

So </span> $1284673$ <span>has a sum of digits 31 whose sum of digits is 4, so this isn't a multiple of nine. It will give a remainder of 4 when divided by 9; let's check.

</span> $1284673 = 142741 \times 9 + 4 \quad\checkmark$ <span>

</span>Let's focus on remainders when we divide by nine. The digit summing works because 1 and 10 have the same remainder when divided by nine, namely 1. So we see multiplying by 10 doesn't change the remainder. So $100 \times a + 10 \times b + c$ has the same remainder as $a+b+c$ .

When Ayesha reverses the digits she doesn't change the sum of the digits, so she doesn't change the remainder. Since the two numbers have the same remainder, when we subtract them we'll get a number whose remainder is the difference, namely zero. That's why her method works.
<span>
It doesn't matter if the digits are larger or smaller or how many there are. We might want the first number bigger than the second so we get a positive difference, but even that doesn't matter; a negative difference will still be a multiple of nine. Let's pick a random number, reverse its digits, subtract, and check it's a multiple of nine:

</span> $813219543092195 - 591290345912318 = 221929197179877 = 9 \times 24658799686653 \quad \checkmark$

6 0

3 years ago

Read 2 more answers

An outlet store receives a shipment of sets of bunk beds that will be offered at a discounted price of $160 apiece. The sets of

GrogVix [38]

Answer:

17.1%

Step-by-step explanation:

160/193=0.829

1-0.829=0.171

Move the decimal place over two places, and the answer is 17.1%

4 0

3 years ago

Read 2 more answers