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2 years ago

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The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used

to find the side lengths if the longest side measures 6.2 cm?

2 answers:

pentagon [3]2 years ago

7 0

Answer:

its 9.3+b=14.5 on edg.

Step-by-step explanation:

i just took the test..its righttt

Deffense [45]2 years ago

4 0

3,1 centimetrs (three, point, one)

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Help i need help please

Morgarella [4.7K]

Answer:

B or C

Step-by-step explanation:It ain´t easy

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2 years ago

A newspaper report claims that 30\%30%30, percent of all tea-drinkers prefer green tea to black tea. Leo is the office manager a

aliina [53]

Complete question :

A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Dr. Huber to finish his null hypothesis?

A. ...equal to 30%

B. ...less than 30%

C. ...greater than 30%

D. ...not equal to 30%

Answer:

A. ...equal to 30%

Step-by-step explanation:

Given the incomplete hypothesis statement for the Null ;

The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30

The alternative hypothesis on the other side is the opposite statement or hypothesis.

3 0

2 years ago

Find the length of the line segment whose endpoints are (-5,6) and (6,6)

umka21 [38]

Answer: 11 units

Step-by-step explanation:

Use the distance formula: $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }$

$(x_{1}, y_{1})=(-5, 6)\\(x_{2}, y_{2})=(6, 6)\\\\\sqrt{(6-(-5)^{2}+(6-6)^{2}} =\sqrt{(11)^{2}+(0)^{2}} =\sqrt{121+0}=\sqrt{121}=11$

5 0

2 years ago

Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

A

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where <em>n</em> is the number of terms, <em>a</em> is the first term, and <em>x</em>_<em>n</em> is the last term.

We know that the initial term <em>a</em> is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find <em>n</em>.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$

Since the initial term is 13 and the common difference is 7:

$x_n=13+7(n-1)$

Substitute:

$\displaystyle S = \frac{n}{2}\left(a + (13+7(n-1)\right)$

We are given that the initial term is 13 and the sum is 2613. Substitute:

$\displaystyle (2613)=\frac{n}{2}((13)+(13+7(n-1)))$

Solve for <em>n</em>. Multiply both sides by two and combine like terms:

$5226 = n(26+7(n-1))$

Distribute:

$5226 = n (26+7n-7)$

Simplify:

$5226 = 7n^2+19n$

Isolate the equation:

$7n^2+19n-5226=0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, <em>a</em> = 7, <em>b</em> = 19, and <em>c</em> = -5226. Substitute:

$\displaystyle x =\frac{-(19)\pm\sqrt{(19)^2-4(7)(-5226)}}{2(7)}$

Evaluate:

$\displaystyle x = \frac{-19\pm\sqrt{146689}}{14} = \frac{-19\pm 383}{14}$

Evaluate for each case:

$\displaystyle x _ 1 = \frac{-19+383}{14} = 26\text{ or } x _ 2 = \frac{-19-383}{14}=-\frac{201}{7}$

We can ignore the second solution since it is negative and non-natural.

Therefore, there are 26 terms in the arithmetic series.

Our answer is A.

6 0

2 years ago

You bought a binder for $5 and four notebooks. You spent a total of $17. How much did each notebook cost?

Alenkasestr [34]

Answer:

$3

Step-by-step explanation:

17 - 5 = 12 divided by 4 = 3

4 0

2 years ago

Read 2 more answers