Answer: 0.09
Step-by-step explanation:
Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Dakota purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y. Express your answer with the standard form ax+by on the left side.
The budget inequality is _________________________
Answer: 5x + 4y ≤ 100
Step-by-step explanation:
5x + 4y ≤ 100
It has to be ≤ 100 because the dude only has $100 and can't exceed that.
Answer:
b and d
Step-by-step explanation:
Answer:
On Ed the answer for this: g(x) =0.5(4)-x
g(x) =1/2(1/4)^x
Step-by-step explanation:
a. If the sample variance is s^2=32 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05
b. If the sample variance is s^2=72 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05 ?
c. Comparing your answer for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?
A hypothesis test was conducted to evaluate the treatment's effect. For both variances, we failed to reject the null hypothesis, so we can't conclude that the treatment had a significant effect. The variability of scores plays a crucial role, as more variability makes it harder to identify a significant effect.
To determine if the treatment has a significant effect, we perform a hypothesis test using the sample mean (M), sample variance (s^2), and population mean (μ). The null hypothesis is that there's no effect from the treatment (μ=M), while the alternative hypothesis is that there is an effect (μ≠M).
a. For sample variance s^2=32, we can use the formula for the t score: t = (M - μ)/(s/√n) = (35 - 40)/(√32/√8) = -2.24. Based on a two-tailed t-distribution table, the critical t values for α=.05 and 7 degrees of freedom (n-1) are approximately -2.365 and 2.365. Our t value (-2.24) lies within this range, so we fail to reject the null hypothesis. We cannot conclude that the treatment has a significant effect.
b. Repeat the same process with sample variance s^2=72. The t value is now (35 - 40)/(√72/√8) = -1.48, again falling within the range of the critical t values. We can't conclude that the treatment has a significant effect.
c. As the variability (s^2) of the sample scores increases, it becomes more difficult to find a significant effect. Higher variability introduces more uncertainty, which can mask actual changes caused by the treatment.
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To evaluate the effect of a treatment using a two-tailed test with alpha = 0.05, we compare the calculated t-value to the critical t-value. The sample variance influences the outcome of the hypothesis test, with a larger variance leading to a wider critical region.
a. To test if the treatment has a significant effect, we will conduct a two-tailed hypothesis test using the t-distribution. The null hypothesis states that the treatment has no effect (μ = 40), while the alternative hypothesis states that the treatment has an effect (μ ≠ 40). With a sample size of 8, degrees of freedom (df) will be n-1 = 7. We will use the t-test formula to calculate the t-value, and compare it to the critical t-value from the t-table with α = 0.05/2 = 0.025. If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that the treatment has a significant effect.
b. Similar to part a, we will conduct a two-tailed t-test using the same null and alternative hypotheses. With a sample size of 8, df = n-1 = 7. We will calculate the t-value using the sample mean, population mean, and sample variance. Comparing the calculated t-value to the critical t-value with α = 0.05/2 = 0.025, if the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that the treatment has a significant effect.
c. The variability of the scores in the sample, as indicated by the sample variance, influences the outcome of the hypothesis test. In both parts a and b, the sample variance is given. A larger sample variance (s^2 = 72 in part b) indicates more variability in the data, meaning the scores in the sample are more spread out. This leads to a larger t-value and a wider critical region. Therefore, it becomes easier to reject the null hypothesis and conclude that the treatment has a significant effect.
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The Jacks height from the given situation is 49.08 inches.
Given that, Jack can long-jump 195% of his height with a running start.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the height of jack be x.
So, 195% of x = 95.7
⇒ 195/100 × x=95.7
⇒ 1.95x=95.7
⇒ x=95.7/1.95
⇒ x=49.08 inches
Hence, the Jacks height from the given situation is 49.08 inches.
To learn more about the percentage visit:
brainly.com/question/24159063.
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Answer: 190
Explanation: Divide 97.5 from 195% and then round.
The length of longer side of the rectangular flower bed is 7.5m .
Given, that sketch dimensions of the rectangular flower are 4 cm by 6 cm.
Conversion of meter to centimeter.
1m ⇒ 100cm
So, 100 x 5 = 500cm
Now the shorter side of the flower corresponds to 4cm.
In actual the value in centimeters,
500 ÷ 4 = 125
Length of longer side of the rectangle.
125 x 6 = 750 cm
Convert cm to m.
1cm ⇒ 0.01 m
750/100 = 7.5 m
Therefore the length of longer side of rectangle is 7.5 m
Know more about rectangle,
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Answer:
125.15
Step-by-step explanation:
Just do it!