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3 years ago

I NEED HELP BY TODAY PLEASE

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

Answer: m∠ABC = m∠CED; Corresponding Angles Theorem

Step-by-step explanation:

i took the test

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Hat integers are close to -95

coldgirl [10]

Answer: it hink its Near integers

Step-by-step explanation:

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3 years ago

the first five terms of an arithmetic sequence are -1,3,7,11,15. write down, in terms of n, an expression for the nth term in th

Ksivusya [100]

$-1~~,~~\stackrel{-1+4}{3}~~,~~\stackrel{3+4}{7}~~,~~\stackrel{7+4}{11}~~,~~\stackrel{11+4}{15}\qquad \qquad \stackrel{\textit{common difference}}{d = 4} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\stackrel{\textit{first term}}{-1}\\ d=\stackrel{\textit{common difference}}{4} \end{cases}\implies a_n=-1+(n-1)4 \\\\\\ a_n=-1+4n-4\implies a_n=4n-5$

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3 years ago

How many gallons equal 8 quarts

VMariaS [17]

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4 years ago

Read 2 more answers

A traveler pulls a suitcase, as shown in the figure.

hjlf

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

⇒Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

4 0

3 years ago

The null and alternate hypotheses are: H0 : mu1 = mu2 H1 : mu1 not equal mu2 A random sample of 9 observations from one populati

OLEGan [10]

Answer:

There is a difference between the population means at 0.10 significance level.

(a) The decision rule is to reject H0 if the test statistic (t) falls outside the region bounded by the critical values.

(b) Pooled estimate of the population variance is 17.525.

(d) Reject H0

Step-by-step explanation:

At 0.10 significance level, there is a difference between the population means because the null hypothesis is rejected.

(a) The decision rule is to reject H0 if the test statistic (t) falls outside the region bounded by the critical values.

(b) n1 = 9

s1 = 4.7

s1^2 = 4.7^2 = 22.09

n2 = 9

s2 = 3.6

s2^2 = 3.6^2 = 12.96

Pooled variance = [(n1-1)s1^2 + (n2-1)s2^2] ÷ (n1+n2-2) = [(9-1)22.09 + (9-1)12.96] ÷ (9+9-2) = 280.4 ÷ 16 = 17.525

(c) Test statistic (t) = (mean1 - mean2) ÷ sqrt[pooled variance (1/n1 + 1/n2)] = (22 - 26) ÷ sqrt[17.525(1/9 + 1/9)] = -4 ÷ 1.973 = -2.027

(d) degree of freedom = n1+n2-2 = 9+9-2 = 16

significance level = 0.10 = 10%

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

critical values corresponding to 16 degrees of freedom and 10% significance level are -1.746 and 1.746

My decision rule:

Reject H0 because the test statistic -2.027 falls outside the region bounded by the critical values -1.746 and 1.746.

6 0

3 years ago