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2 years ago

What is the probability of not getting a blue on this spinner? Be sure to reduce. [?]

Mathematics

1 answer:

exis [7]2 years ago

6 0

Answer:

5/8

Step-by-step explanation:

The probability of not getting blue can be found by dividing the number of sections that are not blue by the total number of sections.

P(not blue)= not blue / total

There are a total of 8 sections. 3 are blue, which leaves 5 that are not blue (1 yellow, 2 red and 2 green).

not blue= 5

total= 8

P ( not blue)= 5/8

This fraction cannot be reduced, therefore our answer is 5/8

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines

slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

8 0

2 years ago

The width of a rectangle is fifteen feet less than its length. If the area of the rectangle is 54 square feet, find the width.

PolarNik [594]

Answer:

3 ft

Step-by-step explanation:

It is because 3 times 18 is 54 and 3 is 15 less than 18

4 0

3 years ago

i need help with simplifying fractions only the top ones i will do the making of a decimal or ill ask the question later

Vladimir79 [104]

Answer:

see explanation

Step-by-step explanation:

(a)

$\frac{32}{40}$ ← divide numerator and denominator by 4

= $\frac{8}{10}$ = 0.8

(b)

$\frac{35}{50}$ → divide numerator and denominator by 5

= $\frac{7}{10}$ = 0.7

(c)

$\frac{60}{40}$ ← divide numerator and denominator by 4

= $\frac{15}{10}$ = 1.5

8 0

2 years ago

2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B

zubka84 [21]

The measures of central tendency for this data set are as follows:

Mean = 3.55.
Median = 3.5.
Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

Mean

Median

Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

6 0

1 year ago

No links pls

asambeis [7]

Answer:

Positive 1 over 6 raised to the 2nd power 1/62 or 1 over 36 which is 1/36. To find -6-2, take the inverse of -62.

(first find -62) -62 = -6 * -6 = 36

(then take the inverse of 36, which is 1 over 36) = 1 / 36 = 0.0277

so, -6-2 =0.0277

Step-by-step explanation:

3 0

2 years ago