All categories

3 years ago

The sum of 4 consecutive integers is 198 what is the fourth number in the sequence

Mathematics

1 answer:

miss Akunina [59]3 years ago

5 0

The fourth number is 51. 48+49+50+51= 198.
THE NUMER IS 48

You might be interested in

The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of

pishuonlain [190]

Answer:

Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

Let p = proportion of women in similar sales positions across the country in 2004

So, Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Here, null hypothesis states that the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, alternate hypothesis states that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }$ ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

4 0

3 years ago

ANSWER ONLY IF U KNOW I RLLY NEED HELP THIS IS THE LAST OF MY POINTS.

Ostrovityanka [42]

Sure the answer is 2 4.5

7 0

3 years ago

Read 2 more answers

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that $P = 600, t = 5, r = 0.02, n = 1$ . Thus

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(t) = 600(1 + \frac{0.02}{1})^{t}$

$A(t) = 600(1.02)^t$

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

$A(5) = 600(1.02)^5 = 662.5$

The value of this investment at the end of the 5 years is of $662.5.

5 0

3 years ago

Which algebraic expression represents this phrase?

sergij07 [2.7K]

None. The product of 34 and the number of pounds is : 34 × p

Sometimes we simply write it : 34p

7 0

3 years ago

HELP ME A.S.A.P. PLZZZZ

Ronch [10]

Answer:

A = 66.5 in²

Step-by-step explanation:

There are a few different equations to find the area of a rhombus. If you are given the measurements of the two diagonals, you can use the following formula:

Area (A) = $\frac{d_{1}d_{2} }{2}$

Using this formula, you can multiply the measures of the diagonals and then divide by 2:

area = $\frac{(9.5)(14)}{2} =\frac{133}{2}=66.5in^{2}$

7 0

3 years ago