Find the value of x (no labels).

X - 7 greater than or equal to 12.8

vladimir1956 [14]

Im pretty sure is equal to 12.8

6 0

3 years ago

Read 2 more answers

Draw to show what you know about a square.write how many sides

Keith_Richards [23]

4, a square has 4 sides.

3 0

3 years ago

The sum of five consecutive positive integers is 2020. Find the largets of these numbers.

Alona [7]

Answer:

406

Step-by-step explanation:

let the 5 consecutive positive integers be

n , n + 1 , n + 2 , n + 3 , n + 4 , then

n + n + 1 + n + 2 + n + 3 + n + 4 = 2020

5n + 10 = 2020 ( subtract 10 from both sides )

5n = 2010 ( divide both sides by 5 )

n = 402

then

largest integer = n + 4 = 402 + 4 = 406

4 0

2 years ago

A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of eight cars

motikmotik

Answer:

$t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value for this case is given by:

$p_v =P(t_{(7)}$

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

Step-by-step explanation:

Information given

$\bar X=25.5$ represent the sample mean

$s=1$ represent the sample standard deviation

$n=8$ sample size

$\mu_o =26$ represent the value to verify

$\alpha=0.06$ represent the significance level

t would represent the statistic (variable of interest)

$p_v$ represent the p value

Hypothesis to est

We want to test if the true mean is at least 26 mpg, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25.5$

Alternative hypothesis: $\mu < 25.5$

The statistic for this case is given by;

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

Replacing the info given we got:

$t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value for this case is given by:

$p_v =P(t_{(7)}$

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

3 0

4 years ago

a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b If necessary, use t

WINSTONCH [101]

Answer:

\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx

Step-by-step explanation:

Arc length is calculated by dividing the arcs in to small segments ds

By pythagoren theorem

$ds^2=dx^2+dy^2$

then integrate ds to get arc length.

We are given a function as

y = sin 2x in the interval [0, pi/2]

To find arc length in the interval

Arc length $s =\int\limits^{\pi/2} _0 {1+y'^2} \, dx \\=\int\limits^{\pi/2} _0 (1+4cos^{2} (2x) )dx$

Hence arc length would be

B) $\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx$

6 0

3 years ago