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2 years ago

The vertex of the parabola is at (-3,-2) which of the following could be its equation

Mathematics

2 answers:

Pepsi [2]2 years ago

7 0

Answer: D;x=-2(y+2)^2-3

Step-by-step explanation: since,(-3,-2) is the vertex of parabola this means that when y=-2, x must be equal to -3

but this is true only in D part

ki77a [65]2 years ago

3 0

D;x=-2(y+2)^2-3 is the equation

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A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co

Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

n = number of selected users = 50

Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

The formula for normal distribution is expressed as

z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

7 0

2 years ago

A textbook store sold a combined total 402 of psychology and math textbooks in a week. The number of psychology textbooks sold w

uranmaximum [27]

Answer:

The number of textbooks of each type were sold is <u>134 math </u>and <u>268 psychology </u>books.

Step-by-step explanation:

Given:

Total number of math and psychology textbooks sold in a week is 402.

Now, let the number of math textbooks sold be $x$ .

And, the number of psychology textbooks be $2x$ .

According to question:

$x+2x=402$

$3x=402$

Dividing both sides by 3 we get:

$x=134$

So, total number of math textbooks were 134 .

And, total number of psychology textbooks were $2x=2\times 134$

$=268$ .

Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.

4 0

2 years ago

Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream

inessss [21]

Answer: 1/4

Step-by-step explanation:

Let the volume of mixture (6%fat) in cup is 100cc

x cc be the volume of cream (18% fat) in the mixture.

∴

(100−x) cc be the volume of milk (2% fat) in the mixture.

x * 0.18+(100−x) * 0.02=100

⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x

= 4 or x=25 cc = 25%

7 0

1 year ago

Read 2 more answers

Write the perimeter of the floor plan shown as an algebraic expression in x.

Nimfa-mama [501]

The perimeter is the sum of the enclosing side.

From the figure, the perimeter is
P = 11 + (x-2) + (11-3) + [(x-2) - (x-11)] + (x-11)
= 11 + x - 2 + 8 + 9 + x - 11
= 2x + 15

Answer: 2x + 15

5 0

2 years ago

Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three

yaroslaw [1]

Why trees are helpful........................................
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............................................................
.....................................................
..............................................
..................................
Very easy just state facts about trees in a format like this. Google why trees are helpful and some facts should pop up. A good paragraph should have at least five (5) good strong sentences.

4 0

2 years ago

Read 2 more answers