Select all fractions that are equal to 3/4

Answer: 3 people, 2 people, 4 people, 6 people, 2 people, 3 people, 3 people

Step-by-step explanation:

3 given numbers within 30-39

32, 35, 38

2 given numbers within 40-49

45, 48

4 given numbers within 50-59

51, 52, 54, 59

6 given numbers within 60-69

60, 61, 65, 65, 66, 69

2 given numbers within 70-79

77, 78

3 given numbers within 80-89

83, 83, 84

3 given numbers within 90-99

95, 96, 98

Answer: see Frequency below

Step-by-step explanation:

This is a frequency table.  How many times does a number appear in the data set that falls within the given interval?

Interval             Data                          Frequency

30-39:         35, 38, 32                              3

40-49:         48, 45                                     2

50-59:         59, 51, 52, 54                         4

60-69:         61, 60, 66, 65, 65, 69            6

70-79:          77, 78                                      2

80-89:          83, 84, 83                               3

90-99:          98, 96, 95                               3

Check the total to make sure you included each number from the data set.

Total numbers in the data set = 23, Total Frequency = 23  [tex]\checkmark[/tex]

Answer:

80

Step-by-step explanation:

17+13=30

22+23+5=50

30+50=80

Answer:

80 cards

Step-by-step explanation:

23+5=28

13+17=30

28+30=58

58+22=80

Answer:

16:0

Step-by-step explanation:

Answer:

6 less than a number is equal to 1 and 4 tenths

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 sin^4x

=5(4sin^4 x)

=5(2sin²x)²

=5(1-cos 2x)²

=5(1-4cos2x+cos²(2x))

=5[1-4cos(2x)+{1+cos (4x)}/2]

=5/2[2-8cos(2x)+1+cos(4x)]

=5/2[3-8cos (2x)+cos (4x)]

Answer:

P = 0.1764

The events are dependent

Step-by-step explanation:

We have a total of 9 + 6 + 3 = 18 stuffed animals.

The probability of the first animal pulled being a bear is:

P(bear) = N(bear) / N(total)

P(bear) = 9 / 18 = 0.5

Then, for the second animal, we now have only 17 stuffed animals in total.

So the probability of the second animal pulled being a lion, given the first animal was a bear, is:

P(lion | bear) = N(lion) / N(total)

P(lion | bear) = 6 / 17 = 0.3529

So the final probability is the product of these probabilities:

P = P(bear) * P(lion | bear) = 0.5 * 0.3529 = 0.1764

To find if the events are dependent or independent, let's find the probability of the first pick being a lion:

P(lion) = N(lion) / N(total)

P(lion) = 6 / 18 = 0.3333

The probability of picking a lion is different from the probability of picking a lion given we already picked a bear, so the events are dependent.

Answer:

C

Step-by-step explanation:

-8 14 = 42 (He subtracted 14 from 42)

-8p = 28 (Which is how he got 28)

p = -3.5 (He took 28 divide by -8 which got him -3.5)

Answer:

C

Step-by-step explanation:

C

Answer:

17

Step-by-step explanation:

k(x)=-2x^2+10x+5

k(3)=-2(3)^2+10(3)+5

k(3)=-2(9)+30+5

k(3)=-18+35

     = 17

Answer:

71

Step-by-step explanation:

-2(3)^2+ 10(3)+5

So first you multiply the -2 by the 3

(-6)^2+10(3)+5

then you do the exponents

36+10(3)+5

then you multiply the 10 by 3

36+30+5

then you would add 36 and 30

66+5

then add the 5

71

Answer:

Area = PI * radius^2

radius^2 = Area / PI

radius^2 = 169*PI/PI

radius^2 = 169

radius = 13

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Because the slope is -0.09 the answer is the second option. A negative slope means a decrease.

Answer:

5x^3(to the power of 3)

Step-by-step explanation:

10x^5/2x^2

divide the 10/2 like normal to get 5

x^5/x^2 (subtract the powers 5-2 when dividing powers)

you would get 5x^3

Answer:

Figure 1

The area of circle is 452.16 inches ².

Figure 2

The area of circle is 615.44km².

Figure 3

The area of circle is 132.665 km².

4) The radius of circle is 9 cm and diameter is 18cm.

Answer:

y = [tex]\frac{1}{2}[/tex]x - 5

Step-by-step explanation:

Use rise over run to find the slope, which will get you 1/2 as the slope

The y-intercept is at (0, -5) so put -5 in the equation

Answer: y= 1/2x + -5

Step-by-step explanation: slope is 1/2 because the line is going up one and over 2 (rise over run),  the y intercept is -5 because that is where the line hits on the y axis

Answer:

d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.62\\\\H_a:\pi<0.62[/tex]

The significance level is 0.05.

The sample has a size n=196.

The sample proportion is p=0.57.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.62*0.38}{196}}\\\\\\ \sigma_p=\sqrt{0.001202}=0.035[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.57-0.62+0.5/196}{0.035}=\dfrac{-0.047}{0.035}=-1.369[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.369)=0.0855[/tex]

As the P-value (0.0855) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Answer:

B, C, E, & F

Step-by-step explanation:

Option A is incorrect because the equation Ax = b is referred to as a matrix equation, not a vector equation.

Option B is correct. If Ax = b has a solution, vector b will a linear combination of columns of matrix A.

Option C is correct. In a matrix equation, product Ax when defined, is a sum of products.

Option D is incorrect. If an augmented matrix [Ab] had a pivot position in every row, there could be a pivot in the last column which would make it inconsistent.

Option E is correct. If the columns of an m×n matrix A span[tex] R^m[/tex], then the equation Ax=b is consistent for each b in

Option F is correct. IfA is an m x n matrix whose columns do not span, then the equation Ax = b is inconsistent for some b in [tex] R^m[/tex]

Options B, C, E, and F are correct.

Answer: 400

Step-by-step explanation:

500 x 0.80 = 400

Answer:

400

Step-by-step explanation:

Of means multiply

80% * 500

Change to fraction form

80/100 * 500

Rewriting to reduce

80 * 500/100

80 * 5

400

Answer:

The answer is option c

x = 1 y = - 1 z = 1

Hope this helps.

Answer:

C. Parameter since the data set of all 14 teams is a population.

Explanation:

Find the attachment

Answer:

Both F and Z have symmetry.

Answer:

For 90:

9 10p coins

7 10p coins and 1 20p coin

5 10p coins and 2 20 p coins

3 10p coins and 3 20p coins

For 60:

6 10p coins

4 10p coins and 1 20p coin

2 10p coins and 2 20p coins

3 20p coins

Step-by-step explanation:

Answer:

For 90 is having each containing both the 20 and10 for 2 boxes then the rest each a 20&10

For 60 is two 20s and two10

Step-by-step explanation:

Hope it helps

Answer:

P(M > 260.2-cm) = 0.702

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 260.5, \sigma = 1.6, n = 8, s = \frac{1.6}{\sqrt{8}} = 0.5657[/tex]

P(M > 260.2-cm)

This is 1 subtracted by the pvalue of Z when X = 260.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{260.2 - 260.5}{0.5657}[/tex]

[tex]Z = -0.53[/tex]

[tex]Z = -0.53[/tex] has a pvalue of 0.298.

1 - 0.298 = 0.702

So

P(M > 260.2-cm) = 0.702

Answer:

B

Step-by-step explanation:

[tex]\dfrac{3}{7}\times 0.1 \div \dfrac{5}{21}= \\\\\\\dfrac{3}{7}\times \dfrac{1}{10}\times \dfrac{21}{5}= \\\\\\\dfrac{3\times 1 \times 21}{7 \times 10 \times 5}=\\\\\\\dfrac{63}{350}=\\\\\\\dfrac{9}{50}[/tex]

Therefore, the correct answer is choice B. Hope this helps!

Answer:

The answer to your question is 9/50

Answer:

1) The normal distribution should be used for the sample mean because the population distribution is known to be normal (answer b).

2) C. H0: mu = 519, H_1: mu not equal to 519, reject if z> 1.96 or z< -1.96.

3) Yes. There is enough evidence to support the claim that the true mean is not 519 ml.

Step-by-step explanation:

1) When the population follows a normal distribution, it is correct to assume a normal distribution for the sample mean.

2) As it is a two-tailed decision rule, we are interested in detecting a significant difference below and above the mean. This is why we use the unequal sign in the alternative hypothesis.

The null hypothesis state that there is not significant difference from 519.

The critical value for a significance level of 5% is z=1.96.

[tex]H_0: \mu=519\\\\H_a:\mu\neq 519[/tex]

3) The claim is that the true mean is not 519 ml.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=519\\\\H_a:\mu\neq 519[/tex]

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=522.

The standard deviation of the population is known and has a value of σ=6.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{16}}=1.5[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{522-519}{1.5}=\dfrac{3}{1.5}=2[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=2\cdot P(z>2)=0.046[/tex]

As the P-value (0.046) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the true mean is not 519 ml.

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

The probability of having k dead batteries in the sample is:

[tex]P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}[/tex]

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

[tex]P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76[/tex]

Answer:

the triangles are not similar.

Answer:

79.91% of loaves are between 26.94 and 32.18 centimeters

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 30, \sigma = 2[/tex]

What percentage of loaves are between 26.94 and 32.18 centimeters

This is the pvalue of Z when X = 32.18 subtracted by the pvalue of Z when X = 26.94.

X = 32.18:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.18 - 30}{2}[/tex]

[tex]Z = 1.09[/tex]

[tex]Z = 1.09[/tex] has a pvalue of 0.8621

X = 26.94:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26.94 - 30}{2}[/tex]

[tex]Z = -1.53[/tex]

[tex]Z = -1.53[/tex] has a pvalue of 0.0630

0.8621 - 0.0630 = 0.7991

79.91% of loaves are between 26.94 and 32.18 centimeters

Answer:

The range of p-values

0.01 < p < 0.025

Step-by-step explanation:

Explanation:-

Given random sample size 'n' = 7

Assume that the populations are normally distributed

Null Hypothesis :H₀:μd=0.

Alternative Hypothesis:H₁:μd<0.

Degrees of freedom

ν = n-1 =7-1 =6

given the test statistic  t = - 3.201

we will use single tailed test in t-distribution table

The test statistic t= 3.201 is lies between the critical values is 0.01 and 0.025

The range of p-values

0.01 < p < 0.025  (check t- distribution table single tailed test)

Final answer:-

The range of p-values

0.01 < p < 0.025

Answer: w=12, y=6√3

Step-by-step explanation:

Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.

In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.

The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.

x√2=8

x=8/√2

x=5.7 or 6       [Let's use 6 so that it is easier to work with a whole number]

Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.

w=2x

w=2(6)

w=12

We know the leg opposite of 60° is x√3. We can plug in x.

y=6√3

Answer:

july 11

Step-by-step explanation:

Answer:

  135,797

Step-by-step explanation:

If the total loan amount is $283,697,150 and the average loan amount is $261.14, then the number of loans is ...

  $283,697,150/$261.14 = 1,086,379.5

If the average number of loans per lender is 8, then the number of lenders is ...

  1086379.5/8 = 135,797 . . . . people lending money