642 ÷ 5 standard algorithm

A store sells tea cups in sets of 9 and saucers in sets of 12. The store sold the same number of individual cups and saucers in

BlackZzzverrR [31]

The first five multiples of 9 are 9 18 27 36 45 I hope that's what you mean.

The prime factors of 9 and 12 are

9: 3 * 3

12: 3 * 2 * 2

The LCM is 3*3*2*2 is 36

The store sold 4 sets of cups ans 3 sets saucers. Answer

6 0

3 years ago

Determine the solution to the system of equations

gizmo_the_mogwai [7]

Answer:

no sé pero no se y no se y más no se

3 0

3 years ago

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t

Amanda [17]

Answer:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

$df = n-1= 22-1=21$

$t_{\alpha/2}= -2.08$

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

$\bar X=33.9$ represent the sample mean

$s=4.1$ represent the sample standard deviation

$n=22$ sample size

$\mu_o =26$ represent the value that we want to test

$\alpha=0.025$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:

Null hypothesis: $\mu \geq 36$

Alternative hypothesis: $\mu < 36$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

Now we can calculate the critical value but first we need to find the degreed of freedom:

$df = n-1= 22-1=21$

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

$t_{\alpha/2}= -2.08$

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0

3 years ago

Find four consecutive odd integers such that 10 more than twice the least is equal to the sum of the third and fourth.

Lady bird [3.3K]

Consecutive odd numbers are 2 apart

they are
x,x+2,x+4,x+6

10+2x=x+4+x+6
10+2x=2x+10
x=x
true
any consecutive odd integers will work

1,3,5,7 works
3,5,7,9 works
etc

6 0

3 years ago

jacob just had lunch at a restaurant and leaves a 18% tip. Choose all the expressions that will give his total cost in terms of

Leokris [45]

Answer:

1.18b

Step-by-step explanation:

Jacob had lunch at a restaurant and his bill was b.

Now, Jacob leaves 18% of his bill amount as a tip.

So, the tip amount at the rate of 18% of the bill amount will be $\frac{18 \times b}{100} =0.18 \times b$

Therefore, the total cost of Jacob for the lunch will be b + 0.18b = 1.18b. (Answer)

8 0

3 years ago