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4 years ago

Can someone help me for question 18 pls? I really need help to solve this question!!

Mathematics

1 answer:

earnstyle [38]4 years ago

3 0

Plug the x-values from the table into the given equation and solve for y.

y = 5 - x²

First column

replace x with -2

y = 5 - (-2)²

= 5 - (4)

= 1

(x, y) = (-2, 1)

Second column

replace x with -1

y = 5 - (-1)²

= 5 - (1)

= 4

(x, y) = (-1, 4)

Third column

replace x with 0

y = 5 - (0)²

= 5 - (0)

= 5

(x, y) = (0, 5)

Fourth column

replace x with 1

y = 5 - (1)²

= 5 - (1)

= 4

(x, y) = (1, 4)

Fifth column

replace x with 2

y = 5 - (2)²

= 5 - (4)

= 1

(x, y) = (2, 1)

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Given the diagram below with line DE║ line AC. Find BC.

Karolina [17]

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

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3 years ago

Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%

Amanda [17]

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

n = 10

Compute the sample mean and sample standard deviation:

$\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7$

$s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} } = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702$

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a t confidence interval.

The critical value of t for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262$

*Use a t-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}$

$=176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)$

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

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3 years ago

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Delicious77 [7]

The following statements are true for a parallelogram that must be a rectangle.

parallelogram with a right angle

parallelogram with congruent diagonals

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Squares, rectangles and rhombuses are all parallelograms but with slight differences.

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3 years ago

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olasank [31]

Answer:

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Step-by-step explanation:

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3 years ago

A baker uses 4 cups of flour for each cake. He has 213 cups of flour in his shop. How many cakes can he make, and how much flour

lora16 [44]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Just divide the values:

213 / 4 = 53.25

He can make 53 cakes.

53 x 4 = 212

Subtract this from the original:

213 - 212 = 1

1 cup of flour is left over

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

3 years ago