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3 years ago

Assume that we want to construct a confidence interval. Do one of the following, as appropriate:

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

3 0

Answer: Option 'a' is correct.

Step-by-step explanation:

To construct a confidence interval, we have four steps to do:

1) Recognise the sample statistic by calculating the sample mean and sample variance.

2) Recognise the confidence level i.e. 90%, 95% etc.

3) Calculate the margin of error :

As we know that Margin of error = Critical value × Standard deviation

Now, critical value in case of t - test,

$t_{\frac{\alpha}{2},v}$

4) find the confidence interval which is given below:

Confidence interval = Margin of error + Sample statistics

So, Option 'a' is correct.

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Kelly was baking bread but could only find her ⅛ cup measuring cup. She needs ¼ cup sugar, ¾ cup whole wheat flour, and ½ cup al

Nataly_w [17]

Answer:

Number of 1/8 cups of sugar needed = 2

Number of 1/8 cups of whole wheat flour needed = 6

Number of 1/8 cups of all purpose flour needed = 4

Step-by-step explanation:

Recipes Kelly needs:

Sugar = 1/4 cups

Whole wheat flour = 3/4 cups

All purpose flour = 1/2 cups

She could only find her ⅛ cup measuring cup.

How many ⅛ cups will she need for each ingredient?

Number of 1/8 cups of sugar needed = cups of Sugar needed / 1/8 cups

= 1/4 ÷ 1/8

= 1/4 × 8/1

= 8/4

= 2

Number of 1/8 cups of sugar needed = 2

Number of 1/8 cups of whole wheat flour needed = cups of whole wheat flour needed / 1/8 cups

= 3/4 ÷ 1/8

= 3/4 × 8/1

= 24/4

= 6

Number of 1/8 cups of whole wheat flour needed = 6

Number of 1/8 cups of all purpose flour needed = cups of all purpose flour needed ÷ 1/8 cups

= 1/2 ÷ 1/8

= 1/2 × 8/1

= 8/2

= 4

Number of 1/8 cups of all purpose flour needed = 4

6 0

3 years ago

During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes. Which proport

tangare [24]

Answer:

Option D - $\frac{1}{4}=\frac{x}{300}$

Step-by-step explanation:

Given : During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes.

To find : Which proportion could you use to find how many gifts can be wrapped at the same rate in 5 hours?

Solution :

We have given that,

In 4 minutes we wrap 1 box.

Let x be the number of gift wrap in 5 hours.

Convert 5 hours into minutes,

1 hour = 60 minute

5 hour = $5\times 60=300$ minute

i.e. In 300 minute we wrap x box.

The proportion defined the same rate is given by,

$\frac{1}{4}=\frac{x}{300}$

When we solve the proportion,

$x=\frac{300}{4}$

$x=75$

Therefore, Option D is correct.

5 0

3 years ago

Give the equation for the new circle obtained by translating the circle (x+2)^2 + (y-1)^2 = 25 by 3 units to the right and 2 uni

Reika [66]

Answer:

(x - 1)^2 + (y + 1)^2 = 25

Step-by-step explanation:

The equation of a circle centered in the point (a, b) with a radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we translate the circle 3 units to the right and 2 units down, then we translate the center 3 units to the right and 2 units down.

So if the original center was (a, b), and we translate it 3 units to the right, then we need to add 3 to the x-component, we get:

(a + 3, b)

Now if we want to move the center two units down, we need to subtract 2 in the y-value, we get:

(a + 3, b - 2)

This will be the new center of the circle.

Now let's look at our circle, we have:

(x + 2)^2 + (y - 1)^2 = 25

The center of this circle is:

(-2, 1)

After the translation, the center will be:

(-2 + 3, 1 - 2)

(1, -1)

Then the equation for the translated circle is:

(x - 1)^2 + (y - (- 1))^2 = 25

(x - 1)^2 + (y + 1)^2 = 25

3 0

3 years ago

62.451 divided by 0.12

Ivenika [448]

Answer:

520.425

Step-by-step explanation:

62.451 × 100 ÷0.12 × 100

=6245.1÷ 21

= 297.385

3 0

4 years ago

Read 2 more answers

During the homecoming football game, Quentin lost 20 yards, gained 7 yards, and gained 24 yards in three successive running play

never [62]

Answer:

Step-by-step explanation:

If Quentin starts at 0 then loses 20, he is at -20. then he gain 7 and 24: -20+7+24=?

4 0

3 years ago

Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate:

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: