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3 years ago

The ordered pair (2 36) is a solution to which equation(s)

Mathematics

1 answer:

Blababa [14]3 years ago

7 0

(2, 36) → x = 2, y = 36

Substitute the value of x and y to the equations of the functions:

A. y = 2x^2

36 = 2(2)^2 → 36 = 8 FALSE

B. y = (3x)^2

36 = (3 · 2)^2 → 36 = 6^2 → 36 = 36 CORRECT

C. y = 7x^2 + 2

36 = 7(2)^2 + 2 → 36 = 7 · 4 + 2 → 36 = 30 FALSE

D. y = (x + 4)^2

36 = (2 + 4)^2 → 36 = 6^2 → 36 = 36 CORRECT

Answer: B. y = (3x)^2 and D. (x + 4)^2

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3 tomatoes cost $1.29 How much will 5 tomatoes cost?

wolverine [178]

Answer:

$2.15

Step-by-step explanation:

Since 3 Tomatoes cost $1.29

Then let's first find how much is 1 Tomatoes.

To do that we have to divide Cost by # of Tomatoes

3/1.29 = 0.43

Thus, 1 Tomatoes Cost 0.43

Now, the question is: How much will 5 tomatoes cost?

Therefore, 0.43 * 5 =2.15

Hence, 5 Tomatoes cost $2.15

[RevyBreeze]

6 0

3 years ago

Suppose 462 of 500 randomly selected college students said they would be embarrassed to truthfully admit they could not read at

ANEK [815]

Answer:

We conclude that there is a significant difference in the proportion of all college students who would be embarrassed by these two admissions.

Step-by-step explanation:

We are given that 462 of 500 randomly selected college students said they would be embarrassed to truthfully admit they could not read at a fourth grade level.

Further suppose 135 of 500 randomly selected college students said they would be embarrassed to truthfully admit they could not "do math" at a fourth grade level (like fractions).

Let $p_1$ = proportion of college students who would be embarrassed to truthfully admit they could not read at a fourth grade level.

$p_2$ = proportion of college students who would be embarrassed to truthfully admit they could not "do math" at a fourth grade level.

So, Null Hypothesis, $H_0$ : $p_1-p_2$ = 0 or $p_1= p_2$ {means that there is not any significant difference in the proportion of all college students who would be embarrassed by these two admissions}

Alternate Hypothesis, $H_A$ : $p_1-p_2$ $\neq$ 0 or $p_1\neq p_2$ {means that there is a significant difference in the proportion of all college students who would be embarrassed by these two admissions}

The test statistics that would be used here Two-sample z proportion statistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of college students who would be embarrassed to admit they could not read at a fourth grade level = $\frac{462}{500}$ = 0.924

$\hat p_2$ = sample proportion of college students who would be embarrassed to admit they could not "do math" at a fourth grade level = $\frac{135}{500}$ = 0.27

$n_1$ = sample of college students = 500

$n_2$ = sample of college students = 500

So, test statistics = $\frac{(0.924-0.27)-(0)}{\sqrt{\frac{0.924(1-0.924)}{500}+\frac{0.27(1-0.27)}{500} } }$

= 28.28

The value of z test statistics is 28.28.

Also, P-value of the test statistics is given by;

P-value = P(Z > 28.28) = Less than 0.0005%

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a significant difference in the proportion of all college students who would be embarrassed by these two admissions.

5 0

4 years ago

Simplify the ratio 3:2.1

Andre45 [30]

<h3>Answer is 10:7</h3>

=======================================================

Explanation

It sounds like you want the decimal number to become a whole number. If so, then one way is to multiply both parts by 10 to move that decimal point over one spot to the right

3*10 = 30

2.1*10 = 21

The ratio 3:2.1 is equivalent to 30:21

-----

Then notice how 30 and 21 have the greatest common factor 3. Divide both parts by 3 so we can fully reduce this ratio

30/3 = 10

21/3 = 7

The ratio 30:21 simplifies fully to 10:7

The numbers 10 and 7 do not have any factors in common, other than 1, so we cannot reduce 10:7 any further.

7 0

4 years ago

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Mr. townsend bought five hot dogs for his family from the concession stand. each hot dog cost $1.75. how much change will he get

svetoff [14.1K]

The five hotdogs cost 1.75 ×5 = 8.75$
then 10-8.75=1.25$
he will get back with 1.25$

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3 years ago

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Is What whoes I length arca of a rectangle perimeter is 169 cm and is 12 cm?

deff fn [24]

Answer:

870

Step-by-step explanation:

so you find out how to find the perimeter which is to add all the sides so then im guessing the length is 12 and there are 2 length so i multiply it by 2 which gives you 24 and subtract that by 169 which is 72.5 and then multiply 72.5 by 12 to get you your area

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3 years ago

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