0.16(a-4)=0.3(2a+4) Solve the Equation

Solve negative one equals negative two v plus two-thirds for v.

makkiz [27]

We write it out as an equation:

-1 = -2v + 2/3

Rearrange:
-1 -2/3 = -2v

Multiply by negative to equal positive
1 2/3 = 2v

Make 1 into a fraction
3/3 + 2/3 = 2v
5/3 = 2v
10/6 = 2v
5/6 = v

The answer is: v equals 5/6

3 0

3 years ago

A dealer has a lot that can hold 30 vehicles. In this lot, there are two available models, A and B. The dealer normally sells at

Vanyuwa [196]

The answer is a 20 model A, 10 model B

8 0

4 years ago

genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a %

Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The 95% confidence interval is $0.2392 < p < 0.3108$

No, the confidence interval includes 0.25, so the true percentage could easily equal 25%

Step-by-step explanation:

From the question we are told that

The total sample size is $n = 432 + 164 =596$

The number of offspring that is yellow peas is $y = 432$

The number of offspring that is green peas is $g = 164$

The sample proportion for offspring that are yellow peas is mathematically evaluated as

$\r p = \frac{ 164 }{596}$

$\r p = 0.275$

Given the the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 5\% = 0.0 5$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }$

=> $E = 0.0358$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

=> $0.275 - 0.0358 < p < 0.275 + 0.0358$

=> $0.2392 < p < 0.3108$

6 0

3 years ago

6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:

Masja [62]

The first equation is 6x - 2y = 10. To solve for y, you will use inverse (opposite) operations to undo what is happening to y. Please see the steps below for the work.

6x - 2y = 10
-6x -6x
-2y = (-6x + 10)
-2 -2
y = 3x - 5

6 0

3 years ago

Question: Solve for x.

kherson [118]

Answer:

x = 24

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(14+18)* 18 = x^2

32*18 = x^2

576 = x^2

Take the square root of each side

sqrt(576) = sqrt(x^2)

24 =x

8 0

3 years ago

0.16(a-4)=0.3(2a+4)Solve the Equation