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4 years ago

11

The top of a rectangular table has an area of 18x^2 + 69 + 60. The width of the table is 3x + 4 . What is the length of the tabl

e?

2 answers:

gladu [14]4 years ago

5 0

Area = 18x^2 + 69x + 60
Width = 3x + 4
Length = (18x^2 + 69x + 60) ÷ (3x + 4)
Length = 3(3x + 4)(2x + 5) ÷ (3x + 4)
Length = 3(2x+5)

AnnZ [28]4 years ago

3 0

Answer:

the lenght is 4x+7

Step-by-step explanation:

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I had $5.00. My mom gives me $10.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $5.00. How much money

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You HAD $10 but now you have $150

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3 years ago

An employee at a clothing store makes a base salary of $2,800 a month plus 6.75% of the sales that they make. The function E(s)=

Gennadij [26K]

Answer:

3,340$

Step-by-step explanation:

e(8000)=.0675(8000)+2800

e(8000)=540+2800

e(8000)=3340

4 0

3 years ago

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

What’s 50 1/3+ 50 1/3?

slega [8]

Answer:

100 2/3

Step-by-step explanation:

50+50=100

1/3+1/3=2/3

100+2/3= 100 2/3

4 0

3 years ago

Read 2 more answers

Otieno is k years old.He is 5 years older than kidole what will be their age fours to come

EleoNora [17]

Answer:

Otieno's age in 4 years: $k+4$

Kidole's age in 4 years: $k-1$

Step-by-step explanation:

$k$ = Otieno's age

$k-5$ = Kidole's age

Their ages will increase by 4 years when 4 years pass.

$k+4$ = Otieno's age in 4 years

$k-5+4$ = Kidole's age in 4 years

$k-1$ = Kidole's age in 4 years (after simplifying the expression)

I hope this helps!

6 0

3 years ago