When the smaller of two consecutive integers is added to five times the larger, the result is 41. Find the integers.

Solve the volume for all these figures

Alecsey [184]

Answer:

The formula for volume is length x width x height

A. 2x6x8=96 units^3

B. 1x7x4=28 units^3

C. 2x3x5= 30 units^3

D. 4x4x2= 32 units^3

E. 5x4x3= 60 units^3

Step-by-step explanation:

7 0

3 years ago

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

3. Haley, Chuck, Dana, and Chris enter a contest to see who could bake the most chocolate chip cookies in an hour. Haley bakes 5

otez555 [7]

Chris baked 95 cookies.

Step-by-step explanation:

Given,

Cookies baked by Haley = 50

Cookies baked by Chuck = 65

Cookies baked by Dana = 90

Average of them = 75

Let,

Cookies baked by Chris = x

Average = $\frac{Sum\ of\ quantites}{No.\ of\ people}$

$75=\frac{50+65+90+x}{4}$

Multiplying both sides by 4

$4*75=\frac{50+65+90+x}{4}*4\\300=205+x\\300-205=x\\95=x\\x=95$

Chris baked 95 cookies.

Keywords: addition, average

Learn more about addition at:

#LearnwithBrainly

4 0

4 years ago

( 6 − √ 100 − 6 ⋅ 6 ) 3 − 9 ÷ 3

sergij07 [2.7K]

Answer:

(6 - √ 100 - 6 * 6) 3 - 9 ÷ 3 = -64003/1 = -64003

Step-by-step explanation:

1.Square root: sqrt(100) = √ 100 = 10

2.Subtract: 6 - the result of step No. 1 = 6 - 10 = -4

3.Multiple: 6 * 6 = 36

4.Subtract: the result of step No. 2 - the result of step No. 3 = -4 - 36 = -40

5.Exponentiation: the result of step No. 4 ^ 3 = (-40) ^ 3 = -64000

6.Divide: 9 / 3 = 3

7.Subtract: the result of step No. 5 - the result of step No. 6 = -64000 - 3 = -64003

5 0

3 years ago

Read 2 more answers

What is the measure of angle x and y in the diagram? x 30° YN 52°

nikitadnepr [17]

Answer:

x = 30° and y = 52°

Step-by-step explanation:

angles on the circle subtended by the same arc are congruent

x and 30° are on the same arc, then x = 30°

y and 52° are on the same arc, then y = 52°

4 0

2 years ago