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zhannawk [14.2K]
3 years ago
6

Need Help solving this , pic of question

Mathematics
1 answer:
Mama L [17]3 years ago
7 0
<h3>Answer:</h3>

Length: 12 yd

Width: 5.5 yd

<h3>Explanation:</h3>

Let x represent the width of the rectangle in yards. Then 2x+1 can represent the length (double the width plus 1 yard). The area is the product of length and width so we have the relation ...

... x(2x+1) = 66

... 2x² +x -66 = 0

This can be solved using any of several methods. One of them is to factor the equation. To do that, we can look for factors of 2·66 = 132 that differ by 1. Since 132 = 11·12, those are the numbers we're looking for. Then ...

... 2x² +12x -11x -66 = 0 . . . . use our found numbers to rewrite the x term

... 2x(x +6) -11(x +6) = 0 . . . . .factor by grouping

... (2x -11)(x +6) = 0

... x = 11/2 or -6 . . . . . values that make the factors zero. Only the positive value is a useful solution.

... The width of the rectangle is 5.5 yards. Its length is 2·5.5+1 = 12 yards,

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Given that Z = X m W = 4x + 20 and m Y = x + 26 find the value of x for which WXYZ must be a parallelogram
umka21 [38]
<h2>Explanation:</h2>

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel. We know that for any parallelogram opposite angles are also equal. Here:

\angle Z=\angle X \\ \\ \text{and this also must be true} \\ \\ \\ \angle W= \angle Y \\ \\ \\ Then: \\ \\ 4x + 20 = x + 26 \\ \\ \\ Solving \ for \ x: \\ \\ 4x-x=26-20 \\ \\ 3x=6 \\ \\ \boxed{x=2}

4 0
3 years ago
How do you write 8.683 as a percentage?
iris [78.8K]

Answer:

<em>868.3%</em>

Step-by-step explanation:

8.683 x 100 =  <em>868.3%</em>

5 0
3 years ago
Read 2 more answers
Enter the length ,X of the ramp in inches (no links need answers ASAP)
topjm [15]

Answer:

53 inches

Step-by-step explanation:

use the Pythagorean Theorem

c^2 = a^2 + b^2

x^2 = 28^2 + 45^2

x^2 = 784 + 2025

x^2 = 2809

Take the square root of both sides

x = 53

8 0
3 years ago
One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-br
Ksju [112]

The question is incomplete. The complete question is :

One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-bran cereals. The company's research office wants to investigate if the percentage of people who consume all-bran cereal is the same for each of these four brands. Let us denote the four brands of cereal by A B C and D. A sample of 900 persons who consume all-bran cereal was taken, and they were asked which brand they most often consume. Of the respondents, 201 said they usually consume Brand A, 224 consume Brand B, 299 consume Brand C, and 176 consume Brand D. Does the sample provide enough evidence to reject the null hypothesis that the percentage of people who consume all-bran cereal is the same for all four brands? Use alpha = 0.025. Find the value of the test statistic x^2. x^2 = the tolerance is +/-2% Using alpha = 0.025, can you conclude that the current percentage distribution is different from the hypothesized one? We conclude that the current percentage distribution from the hypothesized one.

Solution :

          A      B      C      D               Total

$o_i$      201   224   299  176            900

$e_i$      225  225    225  225

$X^2 =\sum \frac{(o_i-e_i)^2}{e_i} = 37.5733$

$X^2 = 9.3484$

We reject $H_0$

$\alpha = 0.025$ level

$H_0: A = B=C=D\ \ \ (1/4)$

$H_a: A,B,C,D $  are not equal.

The distribution is multinomial hypothetical distribution.

4 0
3 years ago
In a random sample of 535 people 65% said they like cookies with chocolate chips 37% like cookies with peanut butter chips. 25%
Leokris [45]
<h3>The probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.</h3>

Step-by-step explanation:

Here, the total sample of people has total  535 people.

The percentage of people liking chocolate chip cookies  =  65%

Now, 65% of 535   = \frac{65}{100} \times 535 = 347.75 \approx 348

⇒ 348 people in total like chocolate chip cookies.

⇒ n(C)  = 348

The percentage of people liking peanut butter chip cookies  =  37%

Now, 37% of 535   = \frac{37}{100} \times 535 = 197.95 \approx 198

⇒ 198 people in total like peanut butter chip cookies.

⇒ n(B)  = 198

Percentage of people liking both chocolate &peanut butter chips = 25%  

Now, 25% of 535   = \frac{25}{100} \times 535 =133.75 \approx 134

⇒ 134 people in total like both chocolate &peanut butter chips

⇒ n(C ∩ B )  = 134

Now, n( C U B)  = N(C) + n(B) - n(C ∩ B )

                           = 348 + 198 - 134  = 412

P( person likes cookies with chocolate or peanut butter chips)  

= \frac{\textrm{person likes cookies with chocolate or peanut butter chips}}{\textrm{Total People}}  = \frac{412}{535}  = 0.77

Hence, the probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.

6 0
3 years ago
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