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2 years ago

-3x + 5<-16 X(type your answer)(type your answer)

Mathematics

2 answers:

koban [17]2 years ago

7 0

Answer:

X = 6

Step-by-step explanation:

-3x < 21
-7*3 = -21
-21=-21
-6*3 = -18

-18 < 21
X = 6 since -3x is -18 and negative cancels each other

Degger [83]2 years ago

4 0

Answer:

x > 7

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

$-3x+5-5$
$-3x$

Step 2: Divide both sides by -3.

$-3x/-3$
$x>7$

Therefore, the answer is x > 7.

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hram777 [196]

What we need to know is how much is 1/3 of 25 2/5.

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2 years ago

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3 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

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

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

=> $0.2392 < p < 0.3108$

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3 years ago

A recipe requires 1/3 cup of oil for every 2/5 cup of water. How much oil (in cups) is needed per cup of water?

igor_vitrenko [27]

3/8 cups of oil

Step by step explanation:

Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.

To Find: How much oil (in cups) is needed per cup of water?

Solution:

Oil required by 2/3 cup of water = 1/4

Oil required by 1 cup of water = 1/4
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Hence cups of oil is needed for per cup of water.

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