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1 year ago

A parallelogram in a coordinate plane is reflected over the line y=5 and translated 2 units left and 1 unit down.

1 answer:

6 0

Answer: The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.

Step-by-step explanation:

A reflection and a translation are both rigid motions, meaning both transformations preserve congruency.

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Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of prote

borishaifa [10]

Yes, she could. By eating 1 ounce of cheddar cheese and 3 ounces of Parmesan cheese, she would be consuming 40 grams of protein and 176 calories.

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3 years ago

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Reuben has scores of 70,75,83, and 80 on four spanish quizzes. what score must he get on the next quiz to achieve an average of

Sergio [31]

X - the score he must get

$\frac{70+75+83+80+x}{5} \geq 80 \\
\frac{308+x}{5} \geq 80 \\
308+x \geq 400 \\
x \geq 92$

He must get at least 92 points.

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3 years ago

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It takes Ben 2 days to write reports, and it takes Kate 3 days to write reports. Bens rate, in reports per day, is how much grea

sergejj [24]

Answer:

Ben's rate is $\dfrac{1}{6}$ greater than Kate's rate.

Step-by-step explanation:

1. If it takes Ben 2 days to write reports, then his rate is $\dfrac{1}{2}$ of reports per day.

2. If it takes Kate 3 days to write reports, then her rate is $\dfrac{1}{3}$ of reports per day.

3. Ben's rate is

$\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}=\dfrac{1}{6}$

greater than Kate's rate.

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3 years ago

Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical fact

scZoUnD [109]

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

H₀: The variance of speeds does not exceeds 75 (mph)², i.e. σ² ≤ 75.

Hₐ: The variance of speeds exceeds 75 (mph)², i.e. σ² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, α = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

$\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153$

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

$\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}$

$=\frac{(55-1)\times 94.7}{75}\\\\=68.184$

The test statistic value is, 68.184.

Decision:

$cal.\chi^{2}=68.184$

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

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3 years ago

A group of 42 monkeys meet in the forest for a swinging competition. The monkeys divide into teams with 8 monkeys on each team.

Illusion [34]

Answer:

i dont know

Step-by-step explanation:

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3 years ago

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