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2 years ago

Find a26 in the arithmetic sequence: -15, -35, -55, -75

Mathematics

1 answer:

MrRissso [65]2 years ago

4 0

Answer: x=−5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−4−7x=31

−4+−7x=31

−7x−4=31

Step 2: Add 4 to both sides.

−7x−4+4=31+4

−7x=35

Step 3: Divide both sides by -7.

−7x

−7

x=−5

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Which expression represents the lateral surface area of the cone?

Brrunno [24]

Answer:

Option "3" is the correct answer to the following question:

Step-by-step explanation:

Given:

Radius of cone (r) = 6 centimeter

height of cone (h) = 8 centimeter

slant height of cone (l) = 10 centimeter

Find:

Lateral surface area of the cone = ?

Computation:

⇒ Lateral surface area of the cone = $\pi$ rl

⇒ Lateral surface area of the cone = $\pi$ (6 centimeters) (10 centimeters)

⇒ Therefore, option "3" is the correct answer.

3 0

2 years ago

Simplify: left parenthesis minus 2 x to the power of 4 y to the power of 3 right parenthesis to the power of 2 left parenthesis

Ulleksa [173]

The answer to your question is

5 0

2 years ago

Sue played four games of golf for these games her modal score was 98 and her mean score was 100 her range of score was 10 what w

earnstyle [38]

Answer : Remaining two observation becomes 97 and 107.

Explanation :

Since we have given that

Mean = 100

Modal value = 98

Range = 10

As we know that ,

Range = Highest-Lowest

Let highest observation be x

Let lowest observation be y

So equation becomes x-y=10 ----equation 1

So, observation becomes

x,98,98,y

Now, we use the formula of mean i.e.

Mean = $\frac{\text{Sum of observation}}{\text{N.of observaton}}$

So, mean = $\frac{x=98=98+y}{4}=400\\\frac{196+x+y}{4}=100\\x+y=400-196\\x-y=204$

So our 2nd equation becomes

x+y=204

On using elimination method of system of linear equation on these two equation we get,

x=97

and

$x+y=204\\y=204-x\\y=204-97\\y=107$

Hence , remaining two observation becomes 97 and 107.

8 0

2 years ago

A school baseball team raised $810 for new uniforms. Each player on the team sold one book of tickets. There were 10 tickets and

Lena [83]

Answer:

270 tickets were sold
not needed: books per player, tickets per book

Step-by-step explanation:

To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:

(total revenue)/(revenue/ticket) = total tickets

$810/$3 = 270 . . . total tickets

None of the other numbers in the problem are needed: books per player (1), tickets per book (10).

3 0

2 years ago

Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in

docker41 [41]

Answer:

The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

Step-by-step explanation:

A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.

The (1 - α) % confidence interval for the population proportion (p) is given by:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

$n = 6522\\\hat p=0.38\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.38\pm 1.96\times \sqrt{\frac{0.38(1-0.38)}{6522}}\\=0.38\pm 0.0118\\=(0.3682, 0.3918)\\\approx (0.37, 0.40)$

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

8 0

2 years ago