Answer:
The inequality is $200 + x*$8≤ $350
Step-by-step explanation:
An inequality is an inequality between letters (unknowns) and numbers related by arithmetic operations. Its solution set is the set of real numbers that satisfy it. In other words, an algebraic inequality in which its members are linked by the signs <(less than), ≤ (less than or equal to),> (greater than) or ≥ (greater than or equal to) is called an inequality.
Solving an inequality is to find the values of the unknown for which the inequality holds. The solution of an inequality is an interval or a union of intervals of real numbers.
In this case, you know that Carmen wants to buy 2 pairs of sneakers that cost $ 100 each.So the 2 pairs of sneakers will cost Carmen:
2 * $ 100 = $ 200
On the other hand, Carmen wants to find the possible amount of socks that she can buy, knowing that a pair costs $ 8. Being x the amount of socks that she can buy, then Carmen spends on socks:
x*$8
Knowing that Carmen has a $ 350 gift card to spend at Modell's, then what she spent on sneakers and socks cannot be more than $ 350. That is to say, the sum of what was spent on sneakers and socks must be less than or equal to $ 350, because Carmen cannot spend more than she has. This is expressed by the following inequality:
<u><em>$200 + x*$8≤ $350</em></u>
Solving for x:
x*$8 ≤ $350 - $200
x*$8≤ $150
x≤
x≤ 18.75
<u><em>Carmen can buy 2 sneakers and 18 or fewer socks with the $ 350 gift card.</em></u>
<u><em></em></u>
Its just asking which angles are similar just list them in the same order on both sides
abc abc
cba cba
Answer:
0.01485...
Step-by-step explanation:
<u>Given:</u>
- A seal has 1,500 nerves per whisker
- This is 101,010 times as much as a rat has per whisker
<u>We will:</u>
- Divide the number 1,500 by 101,010
1,500 ÷ 101,010 = 0.0148500149
0.0148500149 ⇒ 0.01485 when rounded
Your answer: 0.0148500149, 0.01485 when rounded
<h3>
Carry on Learning!</h3>
<h3>supplementary angles add up to 180⁰</h3>
so,
hope that helps :)
Answer:
Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.
Step-by-step explanation:
We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.
Z-score can be calculated using the formula:
z=
where
- X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
- Y is the mean weight gain for in the first three months after birth for babies using the competitor products
- s(x) is the population standard deviation of the sample for Gibbs brand
- s(y) is the population standard deviation of the sample for competitor brand
- N(x) is the sample size for babies used Gibbs product
- N(y) is the sample size for babies used competitor product.
putting the numbers in the formula:
z=
≈ -1.51
and z-table gives that P(z<-1.51) = 0.0655
To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.
For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.
