for males in a certain town, the systolic blood pressure is normally distributed with a mean of 130 and a standard deviation of 10. if 105 males from the town are randomly selected to participate in a study, how many of them would be expected to have a systolic blood pressure less than 154, to the nearest whole number?

Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

Answer:

james sets off from home on a bike.The graph journey.

a)what is james' average speed on his outward journey

Complete question is;

The lengths of two sides of a right triangle ABC are given.

Find the length of the missing side.

b = 16 ft and c = 30 ft

Answer:

25.377 ft

Step-by-step explanation:

From online sources, c is the hypotenuse of the triangle.

Thus, we can use pythagoras theorem to solve for the other side of the right angle triangle.

c² = a² + b²

Where a is the length of the missing side.

Thus;

30² = a² + 16²

a² + 256 = 900

a² = 900 - 256

a² = 644

a = √644

a = 25.377 ft

Answer:

Commutative Property of Addition

Step-by-step explanation:

Answer:

Commutative Property of Addition

Step-by-step explanation:

The exact volume outside the sphere 6x² + 6y² = 22 and inside the sphere 2x² + 2y² + 2z² = 8 is (2/3)π(√11 - 2).

To find the volume outside the sphere 6x² + 6y² = 22 and inside the sphere 2x² + 2y² + 2z² = 8, we can use triple integration in spherical coordinates.

First, we need to find the limits of integration in spherical coordinates. The inner sphere has a radius of √(2), so the equation in spherical coordinates is 2ρ² = 8, or ρ = √(4) = 2. The outer sphere has a radius of √(22/3), so the equation in spherical coordinates is 6ρ² = 22, or ρ = √(11/3).

For the angles, we can integrate over the full range of phi (0 to pi) and theta (0 to 2pi).

Therefore, the triple integral in spherical coordinates to find the volume is:

∫∫∫ρ²sin(φ)dρdφdθ

with limits of integration: 0 ≤ ρ ≤ √(11/3), 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.

The integrand ρ²sin(φ) represents the volume element in spherical coordinates, where ρ is the distance from the origin to the point, φ is the angle between the positive z-axis and the line connecting the origin to the point, and θ is the angle between the positive x-axis and the projection of the line onto the xy-plane.

Evaluating the integral, we get:

∫∫∫ρ²sin(φ)dρdφdθ = \(\int\limits^2_0\)π \(\int\limits^{2\pi}_0\) \(\int\limits^{\sqrt{\frac{11}{3}}}_2\) ρ²sin(φ)dρdφdθ

= 2π \(\int\limits^{\pi}_0\) sin(φ) [ρ] ∣₂^√(11/3) dφ

= 2π [√(11)/3 - 2/3]

= (2/3)π(√11 - 2)

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Answer:

$21.64

Step-by-step explanation:

original amount = spent + remaining

original amount = 4.76 + 16.88

= $21.64

Answer:

Michelle started with $21.64.

Step-by-step explanation:

To solve this problem, we simply need to add he current price, or $16.88, to the amount she spent, or $4.76.

16.88 + 4.76 = $21.64

Therefore, Michelle started with $21.64.

Hope this helps! :D

\(\\ \sf\longmapsto x^2=a\)

\(\\ \sf\longmapsto x=\sqrt{a}\)

Now if a be 1,2,3,4....

\(\\ \sf\longmapsto x=\sqrt{1}=1\)

\(\\ \sf\longmapsto x=\sqrt{2}\)

\(\\ \sf\longmapsto x=\sqrt{3}\)

\(\\ \sf\longmapsto x=\sqrt{4}=2\)

And so on

Answer:

Step-by-step explanation:

3/8 * 4/3

just multiply by the recirpocal (1/(4/3))=3/4

Answer:

John = 82 Billy = 82 Gregg = 80 Bob = 55

Step-by-step explanation:

John = (3x38)+(2x0)-(2x8)-(2x8)

Billy = (3x30)+(2x4)-(2x3)-(2x5)

Gregg = (3x30)+(2x3)-(2x4)-(2x4)

Bob = (3x25)+(2x6)-(2x9)-(2x7)

For a catering company, which used the linear function for calculating the total cost of parties, the cost to cater a dinner party with 90 guests is equals to the $42750.

We have a table form data of total cost of parties for a catering company. There is use of linear function to determine total cost of parties. Table look like as below,

Cost for dinner parties | number of guests

(each guest)

$315 30

$555 60

We have to determine the cost to cater a dinner party with 90 guests. For this we use simple multiplication arithmetic method. As we see in table, cost of cater a dinner party with 30 guests = $315 for each , that is cost for one guest = $315

so, cost of cater a dinner party with 30 guests = 30 × $315 = $ 9450

Similarly, when number of guests is 60 in count, cost of cater a dinner party = $555 for each one

So, total cost of cater a dinner party with 60 guests = 60× $555 = $ 33300

Now, we have total guest = 90

The cost to cater a dinner party with 90 guests

= cost to cater a dinner party with 30 guests + cost to cater a dinner party with 60 guests = $9450+ $33300

= $42750

Hence, required value is $42750.

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Our students selected 50 residences at random. We discovered that owners live in 26 homes. By the way, we might use this to calculate our sample proportion. The result will be 26 out of 50 and.52. We're going to do an experiment to see if the proportion of owner-occupied homes in your neighbourhood is different from the national average using hypotheses.

The test result will be the null hypothesis. The true percentage being 69 is the null hypothesis. A distinct theory serves as the alternative. According to the inquiry, we are attempting to ascertain whether the community differs from the country. I will admit that 0.69 is not the true proportion. The test statistic must be located. Since this is an example Z test, we are able to use the calculator function in the tests. Sure, window. If we went to the tests and clicked the stat, we would find the single proportion Z. It's a test, really. The Christmas portion cost 69. We have 26 successes out of 50 samples. Since the genuine percentage is different from.69 in our alternative, proportion does not equal no proportion. Our final result will be a negative Z score of 2.599. We receive a p value of 9 from the window. We'll decide on a conclusion. We will contrast our significance level with the p value. It does not provide a relevance level for this issue. We'll only apply 5%. So, we would reject the null hypothesis if our p value is lower than the significance level, correct? Obtaining the sample proportion is necessary. If the null hypothesis is correct, it's a very uncommon occurrence, and we have evidence that the proportion of owner-occupied homes in our community is higher than the national average.

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."Proportion of variance accounted for" is also referred to as all of the following EXCEPT chi-squared.

"Proportion of variance accounted for" is commonly referred to as R^2 (pronounced R-squared), the correlation ratio, or eta-squared. These terms are used in different statistical contexts to describe the amount of variability in one variable that can be explained or predicted by another variable. R^2 is widely used in regression analysis to assess the goodness of fit of a model. The correlation ratio, also known as eta-squared, is used in analysis of variance (ANOVA) to measure the proportion of variance in a dependent variable that can be attributed to the group differences. Both R^2 and eta-squared indicate the strength of the relationship between variables or the amount of variance explained.

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Brandon rode his bike 8.35 miles further than Randy.

To find out how much further Brandon rode his bike last month than Randy, you'll need to subtract Randy's miles from Brandon's miles using the given values.

Step 1: Identify the miles ridden by both Brandon and Randy.
- Brandon rode 56.28 miles.
- Randy rode 47.93 miles.

Step 2: Subtract Randy's miles from Brandon's miles.
- 56.28 miles (Brandon's miles) - 47.93 miles (Randy's miles) = 8.35 miles.

So, last month, Brandon rode his bike more than Randy.

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Answer: 22.3

Step-by-step explanation:

We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.

They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.

Then, 12x has to be at least equal to 720-60=660:

Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:

They have to sell at least 55 T-shirts.

The rate at which a point object revolves around a fixed origin is referred to as orbital angular velocity.

The speed of a point on its rim = 3150 cm / min.

angular velocity \(\omega\) = 7 rad/sec.

diameter = 15 cm ;

Radius = 7.5 cm.

The speed of a point on its rim = r \(\omega\) = 7.5 x 7 =52.5 cm/s =3150 cm / min

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Answer:

1310720

Step-by-step explanation:

you multiply (4^9) and get 262144 then multiply (262144)^5 and get 1310720*4^0 and multiply 4*0 and get 0 so 1310720 if that makes sense

The relative retention of compound B with respect to compound A is 0.053.

The relative retention is defined as the ratio of the difference in retention times of two compounds (α) to the retention time of the first eluting compound (tr1):

α = (tr2 - tr1) / tr1

where tr2 is the retention time of the second compound.

In this case, compound A eluted at 12.63 min and compound B eluted at 13.30 min. The compound that is not retained by the stationary phase eluted at 1.145 min.

Therefore, tr1 = 1.145 min, tr2 = 13.30 min, and:

α = (13.30 - 12.63) / 12.63

α = 0.053

Therefore the relative retention of compound B with respect to compound A is 0.053.

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Answer: -5, 1

Step-by-step explanation:

Answer:

x is 7

Step-by-step explanation:

-3-(-8)-(-2) = x

             7 = x

Answer:

387.872

Step-by-step explanation:

to find volume you have to multiply the length times width times height so that's what I did to get the answer.

The pH of Cu(OH) is usually low (around 5.50) due to the formation of Cu(OH)2, which acts as a weak acid.

The low pH of Cu(OH) is primarily attributed to the formation of Cu(OH)2. When Cu(OH) reacts with water, it forms Cu(OH)2 and releases a hydrogen ion (H+), which increases the concentration of H+ ions in the solution and lowers the pH. Cu(OH)2 acts as a weak acid, contributing to the acidity of the solution. The low pH indicates that the solution is acidic.

Regarding part 4, the inaccuracy in determining the pH values of Cu(OH)2, Ba(OH)2, and Mg(OH)2 may be attributed to procedural errors. It could include issues such as improper calibration of pH meters, contamination of the solutions, or insufficient mixing of the substances. These errors can lead to inaccurate pH measurements and affect the reliability of the results.

If metal nitrates were used instead of metal chlorides in part 2, the results might not be the same. Nitrates can influence the acidity or basicity of the solution differently compared to chlorides. The specific chemical properties of the metal nitrates and their respective hydroxides would determine the resulting pH. Therefore, it is possible that using metal nitrates could yield different pH values compared to using metal chlorides. The exact outcome would depend on the specific characteristics of the metal nitrates and their interactions with water.

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Answer:

B. 7.k+7.3-18

Step-by-step explanation:

Distributive Property,

7 (k+3) = 7 x k + 7x 3

Answer:

c) \(\sqrt{13}\)

Step-by-step explanation:

\(\sqrt{13}\) is between the whole numbers 3 and 4

\(\sqrt{9}\) = 3

\(\sqrt{16}\) = 4

Answer:

y varies inversely with x is written as

y = k /x

where k is the constant of variation

y = 8 x = 1.55

8 = k / 1.55

Multiply through by 1.55

k = 12.4

The formula is

y = 12.4 / x

when y = - 0.62

- 0.62 = 12.4/x

- 0.62x = 12.4

Divide both sides by - 0.62

x = 12.4/-0.62

x = - 20

When y = - 0.62 x = - 20

Hope this helps

The sum of the Geometric series 0.1 + 0.01 + 0.001 + ... is 1/9.

The geometric series 0.1 + 0.01 + 0.001 + ... is convergent or divergent, we need to analyze the common ratio between consecutive terms.

In this series, each term is obtained by multiplying the previous term by 0.1. So, the common ratio (r) between consecutive terms is 0.1.

For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1. In this case, |0.1| = 0.1, which is indeed less than 1.

Therefore, the geometric series 0.1 + 0.01 + 0.001 + ... is convergent because the common ratio is between -1 and 1.

To find the sum of a convergent geometric series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

Where:

S is the sum of the series,

a is the first term,

and r is the common ratio.

In this case, the first term (a) is 0.1 and the common ratio (r) is 0.1.

Plugging these values into the formula, we have:

S = 0.1 / (1 - 0.1) = 0.1 / 0.9 = 1/9

Therefore, the sum of the geometric series 0.1 + 0.01 + 0.001 + ... is 1/9.

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Answer: 170 marbles

Step-by-step explanation: Rani had 20 more marbles than Seema and Seema had 150. 150+20 is 170.