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3 years ago

Find the possible values of r in The inequality 5>r-3

Mathematics

2 answers:

Bad White [126]3 years ago

8 0

Any number minus 3 that would have a difference of less than 5

shtirl [24]3 years ago

3 0

R - 3 < 5
r < 5 + 3
r < 8 Answer

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A data set includes 106 body temperatures of healthy adult humans having a mean of 98.9 degrees F and a standard deviation of 0.

barxatty [35]

Answer:

Step-by-step explanation:

Sample mean x bar = 98.9

Std dev s = 0.62

Sample size n = 106

Std error = $\frac{s}{\sqrt{n} } =0.0602$

Since population std deviation not known we can use t critical value.

t critical for 99% with df = 105 is 1.98

Margin of error = ±1.98(0.0602) =±0.1192

Confidence interval for sample mean = (98.9±0.1192)

=(98.781, 99.019)

2) Sample mean confidence interval suggests that sample mean is different from the population since 98.6 is not contained in the confidence interval.

3) Population interval confidence mean would be

98.6±0.1192

=(98.4808, 98.7192)

7 0

3 years ago

A rectangle has a width of 5 cm and a length of 10 cm. If the width is increased by 3, how does the perimeter change?

wariber [46]

Answer:

The new perimeter would be 36cm.

Step-by-step explanation:

The perimeter would change because you add 3 to two sides, because the perimeter originally was 5+5+10+10. Now, it's (5+3)+(5+3)+10+10. Which is 36.

4 0

2 years ago

Read 2 more answers

Will Mark brainliest if correct. Will report if not correct.

Ksju [112]

Answer:

Looks like the scale factor is 1/3.

Step-by-step explanation:

<em>(In this dilation, the green image is polygon ABCDE, and the red image is polygon A'B'C'D'E'. The red image is the resulting image after said dilation.)</em>

A scale factor greater than one enlarges an image, and a scale factor between zero and one shrinks an image, so that rules out options 2 (SF = -3) and 3 (SF = 3).

A negative scale factor would end up in an image opposite the center of enlargement, so that eliminates option 4 (SF = -1/3).

So that means that the scale factor is option 1 (SF = 1/3)!

6 0

3 years ago

1. To the nearest degree, find the measure of angle A.

Assoli18 [71]

Answer:

(1) Option A is correct , The measure of angle A = 26°

(2) Option D is correct, The measure of angle B =70°

Step-by-step explanation:

(1)

In a right angle triangle figure-1 ,

* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.

* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.

* Opposite side(P) is across from a given angle A.

To find the Angle A we use the Cosine ratio:

Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.

By definition of cosine ratio we have;

$\cos A = \frac{B}{H}$ ....[1]

In the figure - 1 we have B = 18 in and H = 20 in

substitute these in [1] to find angle A

$\cos A =\frac{18}{20} =\frac{9}{10} = 0.9$

$A = cos^{-1} (0.9)$

⇒ $A \approx 26^{\circ}$

therefore, the measure of angle A is, $26^{\circ}$

(2)P

In figure -2

Find the measure of angle B.

First find the side BC, using Pythagoras theorem;

Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Apply Pythagoras theorem in rt. angle ABC;

$AB^2 = AC^2+BC^2$