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3 years ago

PLEASE HELP WITH THIS QUESTION!! DUE BY 1PM! wILL RATE YOU GOOD!! THANK YOU!!

1 answer:

8 0

Find $a_{1}$ by plugging in 1 into n:
$a_{1} = 98-2(1)=96$

Find $a_{11$ by plugging in 11 into n:
$a_{11} = 98-2(11)$
$a_{1} =98-22=76$

Now to find the sum your formula is:
$S_{n} = \frac{n}{2} ( a_{1} + a_{n})$
$n = 11, a_{1} = 96 , a_{11} =76$

Now plug that into the formula
$S_{11} = \frac{11}{2} (96+76)$
$S_{11} = 5.5(172)=946$

Hope that helps

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago

Rebecca drove 44 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour?

saul85 [17]

$unit\ rate=\frac{distance}{time}\\\\
distance=44\frac{1}{3} miles\\
time=1\frac{1}{3}hour\\\\
unit\ rate=\frac{44\frac{1}{3}}{1\frac{1}{3}}=\ \ \ | make\ improper\ fractions\\
\frac{\frac{133}{3}}{\frac{4}{3}}=\frac{133}{3}*\frac{3}{4}=\frac{133}{4}=33\frac{1}{4}\\\\
unit\ rate= 33\frac{1}{4}\frac{miles}{hour}
$

5 0

4 years ago

What is 1.8r+9=-5.7r-6

qwelly [4]

You could do:
1 subtract 9 on both sides of the equation, 1.8r=-5.7r-15
2 then add 5.7r on both sides as well, 7.5r=15
3 divide 7.5 on each side, r=2.

5 0

3 years ago

Read 2 more answers

The operating costs for each machine for one day have an unknown distribution with mean 1610 and standard deviation 136 dollars.

Lelechka [254]

Answer:

The standard deviation for the sample mean distribution is $\sigma_{\bar{X}}=\frac{136}{\sqrt{45}}=\frac{136\sqrt{5}}{15} \approx 20.274$

Step-by-step explanation:

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population then the distribution of the sample means will be approximately normally distributed.

For the random samples we take from the population, we can compute the standard deviation of the sample means:

$\sigma_{\bar{X}}=\frac{\sigma}{\sqrt{n}}$

From the information given

The standard deviation σ = 136 dollars

The sample n = 45

Thus,

$\sigma_{\bar{X}}=\frac{136}{\sqrt{45}}=\frac{136\sqrt{5}}{15} \approx 20.274$

The standard deviation for the sample mean distribution is $\sigma_{\bar{X}}=\frac{136}{\sqrt{45}}=\frac{136\sqrt{5}}{15} \approx 20.274$

7 0

4 years ago

X6-6x3 5=0 solucion por favor

PSYCHO15rus [73]

I hope this helps you

4 0

4 years ago