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3 years ago

Is Distance is never negative.

Mathematics

2 answers:

stiv31 [10]3 years ago

5 0

Answer:

Yes, distance is never negative.

Papessa [141]3 years ago

3 0

Answer:

No, distance is a postive if it was a negative number then yes

Step-by-step explanation:

Hope this help and Have good rest of your day or night

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Find lim x->2 for f(x)=

TiliK225 [7]

LHL in not equal to RHL , Therefore the limit does not exists , Option D is the answer.(none)

<h3>What is the limit of a function ?</h3>

The limit of a function at a certain point is the value that the function approaches as the argument of the function approaches the same point.

It is given that

lim x->2 for f(x)

$\lim_{x \rightarrow 2^-}f(x) = \lim_{x\rightarrow 2^+}f(x)$

f(x) = 2x+1 x ≤2

f(x)= x² , x >2

When both the function tends to 2

Left Hand Limit

f(x) = 2 *2 +1

f(x) = 5

Right Hand Limit

f(x) = x² ,

f(x) = 4

LHL in not equal to RHL , Therefore the limit does not exists.

To know more about Limit of a Function

brainly.com/question/7446469

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8 0

2 years ago

Simpilify : 10a^{3} divided by (15a^{15} + 5a^{5} - 3a^{3})

Ugo [173]

Hopefully it's helpful

5 0

3 years ago

What is the surface area of the triangular prism? In square feet

vampirchik [111]

Answer:

The surface of the triangular prism is 12 ft

Step-by-step explanation:

To find the surface area you have to multiply the base and the height and divide the product by 2

6 ft= base

4 ft= height

6 x 4 = 24

24 divided by 2 = 12

6 0

3 years ago

Read 2 more answers

Location is known to affect the number, of a particular item, sold by an automobile dealer. Two different locations, A and B, ar

yKpoI14uk [10]

Answer:

We conclude that the true mean number of sales at location A is fewer than the true mean number of sales at location B.

Step-by-step explanation:

We are given that Location A was observed for 18 days and location B was observed for 13 days.

On average, location A sold 39 of these items with a sample standard deviation of 8 and location B sold 49 of these items with a sample standard deviation of 4.

Let $\mu_1$ = true mean number of sales at location A.

$\mu_2$ = true mean number of sales at location B

So, Null Hypothesis, $H_0$ : $\mu_1-\mu_2\geq0$ or $\mu_1 \geq \mu_2$ {means that the true mean number of sales at location A is greater than or equal to the true mean number of sales at location B}

Alternate Hypothesis, $H_A$ : $\mu_1-\mu_2$ or $\mu_1< \mu_2$ {means that the true mean number of sales at location A is fewer than the true mean number of sales at location B}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviations;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t_n__1_-_n__2-2$

where, $\bar X_1$ = sample average of items sold at location A = 39

$\bar X_2$ = sample average of items sold at location B = 49

$s_1$ = sample standard deviation of items sold at location A = 8

$s_2$ = sample standard deviation of items sold at location B = 4

$n_1$ = sample of days location A was observed = 18

$n_2$ = sample of days location B was observed = 13

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(18-1)\times 8^{2}+(13-1)\times 4^{2} }{18+13-2} }$ = 6.64

So, test statistics = $\frac{(39-49)-(0)}{6.64 \times \sqrt{\frac{1}{18}+\frac{1}{13} } }$ ~ $t_2_9$

= -4.14

The value of t test statistics is -4.14.

Now, at 0.01 significance level the t table gives critical value of -2.462 at 29 degree of freedom for left-tailed test.

Since our test statistics is less than the critical values of t as -2.462 > -4.14, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the true mean number of sales at location A is fewer than the true mean number of sales at location B.

3 0

3 years ago

Lucas bought some plumbing equipment for $37.48 .The price the paid included a sales tax of 5% what was the price of the plumbin

julsineya [31]

Given:
Price paid including tax: $37.48
sales tax = 5%

This means that $37.48 is equivalent to 105%

To get the value of the 100% or its original price, we divide the price paid by its percentage rate

$37.48 ÷ 1.05 = $35.70 value of the original price

$35.70 * 5% = $1.78 value of sales tax
$35.70 + 1.78 = $37.48

5 0

3 years ago

Read 2 more answers