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A box of manufactured items contains 12 items. of which four are defective

VikaD [51]

ArrayAn arrangement of objects in equal rowscolumna vertical group of items often found in an arraycommutative propertytwo factors can be multiplied in either order to find the product
ex.) 3 x 4 = 12
ex.) 4 x 3 = 12distributive propertyTo multiply a sum by a number, multiply each addend by the number outside the parentheses.
ex. ) 12 x 3 = (10 x 3) + (2 x 3)divisionAn operation in which we make parts out of a number, which are equalequationA mathematical sentence that contains an equals sign.factorone of two or more numbers, that when multiplied together produce a given productmethoda way of doing somethingmultiplicationAn operation used for the shortening of repeated additionnumber bonda model showing part, part, whole relationshipsnumber of groupsfactor in a multiplication problem that refers to the total equal groupsnumber sentenceA complete sentence that uses numbers and symbols instead of wordspictureillustrate, show, represent, portray, or depictquotientthe answer when one number is divided by another ex.) 14 / 2 = 7repeated additionadding equal groups together ex.) 2 + 2 + 2 + 2rowa horizontal group of items often found in an arraysize of groupsfactor in a multiplication problem that refers to the how many in each grouptape diagramA drawing that looks like a segment of tape, used to illustrate number relationships.unitone segment of a partitioned tape diagramProductThe answer to a multiplication problemRepresentsWhat the number you found stands for in your problem.

4 0

3 years ago

Please Help!!!! Will Mark Brainliest!!!! Pleaseeee!! 20 Points!!!!

Alina [70]

Answer:

C

THE MONEY

Step-by-step explanation:

5 0

3 years ago

A researcher claims that the mean of the salaries of elementary school teachers is greater than the mean of the salaries of seco

Brut [27]

Answer:

$t=\frac{(48250-45630)}{\sqrt{\frac{3900^2}{26}+\frac{5530^2}{24}}}}=1.921$

$df=n_{A}+n_{B}-2=26+24-2=48$

Since is a one sided test the p value would be:

$p_v =P(t_{(48)}>1.921)=0.0303$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the mean for elementary school teachers is significantly higher than the mean for secondary teachers at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X_{A}=48250$ represent the mean of elementary teachers

$\bar X_{B}=45630$ represent the mean for secondary teachers

$s_{A}=3900$ represent the sample standard deviation for elementary teacher

$s_{B}=5530$ represent the sample standard deviation for secondary teachers

$n_{A}=26$ sample size selected

$n_{B}=24$ sample size selected

$\alpha=0.05$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean of the salaries of elementary school teachers is greater than the mean of the salaries of secondary school teachers, the system of hypothesis would be:

Null hypothesis: $\mu_{A}-\mu_{B}\leq 0$

Alternative hypothesis: $\mu_{A}-\mu_{B}>0$

We don't know the population deviations, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{A}-\bar X_{B})}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{(48250-45630)}{\sqrt{\frac{3900^2}{26}+\frac{5530^2}{24}}}}=1.921$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n_{A}+n_{B}-2=26+24-2=48$

Since is a one sided test the p value would be:

$p_v =P(t_{(48)}>1.921)=0.0303$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the mean for elementary school teachers is significantly higher than the mean for secondary teachers at 5% of significance

5 0

3 years ago

What is a two variable linear equation

True [87]

Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.

Step-by-step explanation:

8 0

3 years ago

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your class is making a rectangular poster for a rally. the posters design is 6 in. high by 10 in. wide. the space allowed for th

Kay [80]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.

PLEASE SEE ATTACHED IMAGE.

For this case the area is given by:

A = (22 + x) * (28 + x) = 722

Rewriting we have:

616 + 22x + 28x + x ^ 2 = 722

x ^ 2 + 50x + 616 - 722 = 0

x ^ 2 + 50x - 106 = 0

Solving the polynomial we have:

x1 = 2.04

x2 = -52.04

We take the positive root:

x = 2.04 inches:

Answer:

The width of the border to the nearest inch is:

x = 2inches

3 0

3 years ago

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