Sarah says that 26 divided by 8 equals 14 divided 4 because both are "3 R2. show her mistake using decimal division

Gala2k [10]

Multiply both sides by 4
4•t/4> 4•6
Reduce the number 4
t>4•6
Multiply the 4•6
The answer is
t>24

8 0

2 years ago

A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 173 yellow peas.

Andre45 [30]

Answer:

a

The 95% confidence interval is $0.2474 < p < 0.3188$

b

The result obtained does not contradict expectation

Step-by-step explanation:

From the question we are told that

The number of green peas is k = 438

The number of yellow peas is u = 173

Generally the sample size is mathematically represented as

$n = k + u$

=> $n = 438 + 173$

=> $n = 611$

Generally the sample proportion for yellow peas is

$\^ p = \frac{u}{n}$

=> $\^ p = \frac{173}{611 }$

=> $\^ p = 0.2831$

From the question we are told the confidence level is 95% , hence the level of significance is

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

=> $\alpha = 0.05$

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

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

Generally the margin of error is mathematically represented as

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

=> $E = 1.96 * \sqrt{\frac{ 0.2831 (1- 0.2831)}{611} }$

=> $E = 0.0357$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.2831 -0.0357$

=> $0.2474 < p < 0.3188$

From the question we are told that it was expected that 25% of the offspring peas will be yellow

Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so it means that the result obtained does not contradict expectation

7 0

2 years ago

The equation x power 3 - 6x=72 has a solution between 4 and 5.

Klio2033 [76]

Answer:

x power 3(x cube)- 6x -72=0 there it has change to quadratic equation x power 3(x cube)-12x+6x-72=0

3 0

2 years ago

Which estimation could be used to make sure the answer is reasonable?

Naddika [18.5K]

Let's go through each answer.

A.

Answer: The amount left over was 4.05 L.

Estimation: 3.15 + 4.75 is about 7.

7 L – 4 L = 3 L

The amount left over was about 3 L.

This is incorrect because 3.15+4.75 is closer to 8 than 7.

B.

Answer: The amount left over was 3.95 L.

Estimation: 3.15 + 4.75 is about 8.

8 L – 4 L = 4 L

The amount left over was a little less than 4 L.

This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.

The correct answer is B.

Answer: The amount left over was 3.95 L.

Estimation: 3.15 + 4.75 is about 8.

8 L – 4 L = 4 L

The amount left over was a little less than 4 L.

Hope this helps!. If it helped, please rate, thank, and if it really helped, give brainliest. It helps me rank up. Thanks! :)

3 0

2 years ago

Rodney is making three pizzas. The recipe says that, for one pizza, he needs 2 cups of flour, 2 teaspoons of instant active dry

Mamont248 [21]

Answer:

14 cups of flour.

Step-by-step explanation:

Rodney is making three pizzas.

The recipe says that for one pizza he needs flour = 2 cups

Rodney buy a bag of flour containing = 20 cups flour

Rodney needs flour for three pizzas = 3 × 2 = 6 cups

He will have left over flour after making the pizzas = 20 - 6

= 14 cups of flour.

Rodney will have left over 14 cups of flour after making the pizzas.

6 0

3 years ago