The sparkling water needed is 112.5 quarts and the grape juice is 56.25 quarts.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
In this case, the sparkling water needed will be:
= 1.5 × 75
= 112.5 quarts of sparkling water.
The grape juice needed will be:
= 0.75 × 75
= 56.25 quarts
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A student proposes the following hypothesis: There is a significant association between level of education (matric, undergraduate/diploma, honours, masters, PhD) and employment (Yes/No). What test should they use to answer the hypothesis and why?
The test that should be used to answer or test the above Hypothesis is The chi-square test of independence. The reason this test ought to be used is that the Chi-Square Test of Independence examines whether or not categorical variables are connected (i.e., whether the variables are independent or related). It is a nonparametric examination.
What is a hypothesis?It is to be noted that a hypothesis is an explanation provided for a phenomenon. The scientific method demands that a hypothesis be testable in order for it to be considered a scientific hypothesis. Scientists often establish scientific hypotheses on past data that cannot be adequately explained by existing scientific ideas.
A hypothesis allows researchers to not only find but also forecast a link between variables based on theoretical principles and/or actual data. Creating a hypothesis necessitates a thorough comprehension of the study issue as well as a thorough assessment of prior literature.
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If the resultant of two equal forces is 2 times the single force, find the angle between them.
The angle subtended between the forces is 180°.
What is the resultant force?The resultant force is said to be the force that has the same effect in magnitude and direction as two or more forces acting together. We know that force is a vector quantity.
Now we are told in the question that the resultant of two equal forces is two times the single force. Let the force shown as A and let the resultant be Aa.
Now;
Aa = 2Asin(m/2)
Then
Aa = 2A
2Asin(m/2) = 2A
sin(m/2) = 1
m/2 = 90°
m = 180°
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In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 318 orders observed. Use a 0.01 significance level to test the
claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?
A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. yes it is acceptable
Explain about the Standard normal distribution?One type of the normal distribution is the standard normal distribution. It happens when a typical random variable's mean and standard deviation are both one. In other terms, the term "standard normal distribution" refers to a normal distribution with a mean of 0 and a standard deviation of 1.
The mean, median, and mode of a normal distribution are all equal and it is symmetric, unimodal, and asymptotic. Perfect symmetry surrounds the center of a normal distribution. To put it another way, the left and right halves of the center are mirrored.
The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.
n = 381
Number of orders that were not exact as a percentage = 40/318 =0.125
= P - P/√p(1 - p)/n
= 0.125 - 0.10/√0.10(0.90)/381
= 0.025/√0.09/381
=0.025/0.048
=0.52
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Find the area in the right tail more extreme than z = 2.21 in a standard normal distribution.
no
Answer:
reject null hypothesis if z is greater
Explanation:
An emotional bank account is a good tool to use when...
An emotional bank account is a good tool to use when you need to build relationships.
What is an emotional bank account?Every time a manager says something encouraging, shows respect, invests in someone as an individual, assists someone in a tough circumstance, makes time for them, and so on, they are depositing money into that person's emotional bank account.
The consequences of these deposits will assist to modify that connection over time.
A metaphor for the amount of trust that has been built up in a relationship is an emotional bank account. It's the sense of security you enjoy with another individual.
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Identify the connotation of the italicized word.
His agility earned him the reputation of a good player
The connotation of the italicized word agility is a positive connotation. (Option C)
What does the word "Connotation" mean?Connotation is an emotion or notion indicated by a word in addition to its essential meaning, or by an item or situation: "Resolute" implies obstinate, but with a more positive connotation.
Connotation is the emotion associated with a word or phrase. Connotation can evoke negative, pleasant, or neutral emotions and sentiments.
A negative connotation is a negative sensation or emotion associated with a term. A positive connotation is a favorable sensation or emotion associated with a term.
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