Maria needs 3/4 of a cup of sugar for one serving of her recipe. How many cups of sugar will she need for 5 servings?
Answer:
3.75 cups of sugar. I think
Answer:
3 3/4
Step-by-step explanation:
3/5 times 5
1.multiiply the numerator by 5
The numerator is the top number which is 3 in this case
So 3x5 is 15
You keep the denominator 4
so 15/4 that is an improper fraction now divide 15 by 4
or count by fours
4,8,12,16
16 is more than 15 so the new numerator is 12 and how many times did we count to fours? 3 times
so 3 is a whole now subtract the 12 you already took with 15. 3 is the extra so 3 wholes and 3 extras which is 3 3/4
*remember you keep the denominator the same
Rita and Bernie both play the same online game. In today's play, Rita earns 6 points 3 times and loses 4 points twice.
Bernie gets a bonus of 15 points for answering a trivia question correctly and then loses 25 points twice for giving wrong
answers. Choose ALL statements that correctly describe this situation.
Answer:
Rita earns 10 points at the end of the play.
Bernie losses 35 points.
Step-by-step explanation:
Rita earns 6 points 3 time and loses 4 points twice
6 * 3 = 18
4 * 2 = 8
18 - 8 = 10 points
Bernie get bonus of 15 points
looses 25 points twice
15 - (25 * 2) = -35 points
Are the statements true or false? Select True or False for each statement. Statement True False -6:3=3 :(-6) -8.9=9 .(-8)
Step-by-step explanation:
for the first one -6/3=3/(-6)
is false
The left side − 2 does not equal to the right side − 0.5 , which means that the given statement is false.
False
-8*9=9*(-8)
is true
The left side − 72 is equal to the right side − 72 , which means that the given statement is always true.
True
Find the difference between 25.6 and 14.07
Answer:
25.6-14.07= 11.53
Step-by-step explanation:
Answer:
11.53
Step-by-step explanation:
25.6-14.07=11.53
What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4
What happens to the angles on a shape, the lines on the shape, and the shape itself when it is transformed.
Answer:
Step-by-step explanation:
What happens to
- the angles on a shape
- the lines on the shape
- the shape itself
when the shape is transformed?
ANSWER:
- When a shape is transformed, the angles on the shape either increase or reduce in size
- When a shape is transformed, the lines on the shape change direction. They could also be shorter, longer, more curved, or more flattened.
- When a shape is transformed, the shape itself becomes another one.
The lines below are perpendicular. If the green line has a slope of 1/7, what is
the slope of the red line?
Enter your answer as an integer or a fraction in
lowest terms.
Answer:
-7
Step-by-step explanation:
1. Let the test statistics Z have a standard normal distribution when H0 is true. Find the p-value for each of the following situations:
a) H1:μ>μ0,z=1.88
b) H1:μ<μ0,z=−2.75
c) H1:μ≠μ0,z=2.88
2. Let the test statistics T have t distribution when H0 is true. Find the p-value for each of the following situations (provide an interval if the exact one cannot be found using a table):
a) H1:μ>μ0,n=16,t=3.733
b) H1:μ<μ0,df=23,t=−2.500
c) H1:μ≠μ0,n=7,t=−2.250
Answer:
1 a [tex]p -value = 0.030054[/tex]
1b [tex]p -value = 0.0029798[/tex]
1c [tex]p -value = 0.0039768[/tex]
2a [tex]p-value = 0.00099966[/tex]
2b [tex]p-value = 0.00999706[/tex]
2c [tex]p-value = 0.0654412[/tex]
Step-by-step explanation:
Considering question a
The alternative hypothesis is H1:μ>μ0
The test statistics is z =1.88
Generally from the z-table the probability of z =1.88 for a right tailed test is
[tex]p -value = P(Z > 1.88) = 0.030054[/tex]
Considering question b
The alternative hypothesis is H1:μ<μ0
The test statistics is z=−2.75
Generally from the z-table the probability of z=−2.75 for a left tailed test is
[tex]p -value = P(Z < -2.75) = 0.0029798[/tex]
Considering question c
The alternative hypothesis is H1:μ≠μ0
The test statistics is z=2.88
Generally from the z-table the probability of z=2.88 for a right tailed test is
[tex]p -value = P(Z >2.88) = 0.0019884[/tex]
Generally the p-value for the two-tailed test is
[tex]p -value = 2 * P(Z >2.88) = 2 * 0.0019884[/tex]
=> [tex]p -value = 0.0039768[/tex]
Considering question 2a
The alternative hypothesis is H1:μ>μ0
The sample size is n=16
The test statistic is t = 3.733
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 16 - 1[/tex]
=> [tex]df = 15[/tex]
Generally from the t distribution table the probability of t = 3.733 at a degree of freedom of [tex]df = 15[/tex] for a right tailed test is
[tex]p-value = t_{3.733 , 15} = 0.00099966[/tex]
Considering question 2b
The alternative hypothesis is H1:μ<μ0
The degree of freedom is df=23
The test statistic is ,t= −2.500
Generally from the t distribution table the probability of t= −2.500 at a degree of freedom of df=23 for a left tailed test is
[tex]p-value = t_{-2.500 , 23} = 0.00999706[/tex]
Considering question 2c
The alternative hypothesis is H1:μ≠μ0
The sample size is n= 7
The test statistic is ,t= −2.2500
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 7 - 1[/tex]
=> [tex]df = 6[/tex]
Generally from the t distribution table the probability of t= −2.2500 at a degree of freedom of [tex]df = 6[/tex] for a left tailed test is
[tex]t_{-2.2500 , 6} = 0.03272060[/tex]
Generally the p-value for t= −2.2500 for a two tailed test is
[tex]p-value = 2 * 0.03272060 = 0.0654412[/tex]
1. The Better Business Council of a large city has concluded that students in the city's schools are not learning
enough about economics to function in the modern world. These findings were based on test results from a
random sample of 20 twelfth-grade students who completed a 46-question multiple-choice test on basic
economic concepts. The data set below shows the number of questions that each of the 20 students in the
sample answered correctly.
12 16 18 17 18 33 41 44 38 35
1936 19 13 43 8 16 14 10 9
(a) Display these data in a stemplot.
(b) Use your stemplot from part (a) to describe the main features of this score distribution.
(c) Why would it be misleading to report only a measure of center for this score distribution?
Answer:
Step-by-step explanation:
The data set below shows the number of questions that each of the 20 students in the sample answered correctly.
12 , 16 , 18, 17 , 18 , 33 , 41 , 44 , 38 , 35 , 19, 36, 19 ,13, 43, 8 ,16, 14, 10, 9
Arrange the data in ascending order:
8 ,9 ,10 ,12 ,13 ,14 ,16 ,16 ,17 ,18 ,18 ,19 ,19 ,33 ,35 ,36 ,38 ,41 ,43 ,44
a)
Key 0|8=08 number of questions answered correctly
0| 9 , 9
1| 0,2,3,4,6,6,7,8,8,9,9
2|
3| 3,5,6,8
4| 1,3,4
b)
The plot is divided into two groups
One is mid tens and other in the high 30's
There is no score in 20's
c) A measure of center might fall between the two groups i.e. mean is 22.95 where there is no data and would not provide an accurate picture of student performance
Which difference is 8.026?
A. 8.053 − 0.278
B. 30 − 22.974
C. 9.947 − 1.921
D. 18.42 − 8.026
The difference of 8.026 is given by the expression 9.947 − 1.921. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The expression will be solved as below:-
E = 9.947 − 1.921
Subtract the smaller value from the bigger value,
E = 9.947 − 1.921
E = 8.026
Hence, option C is showing the right difference.
To know more about an expression follow
https://brainly.com/question/5034267
#SPJ2
Seven times a number is less than or equal to a quantity that is 24 less than that same
number. Write an inequality that you could solve to find possible values for this
number,
A)7 < 24 - 2
B) 72 2 - 24
972 24 - 1
D) 72 2 - 24
Answer:
[tex]7x\leq x-24[/tex]
Here, [tex]x[/tex] denotes the required number.
Step-by-step explanation:
Let [tex]x[/tex] denotes the required number that satisfies the following condition.
''seven times a number is less than or equal to a quantity that is 24 less than that same number''
Seven times a number is equal to [tex]7x[/tex]
Quantity that is 24 less than that same number is equal to [tex]x-24[/tex]
Now find the inequality.
As seven times a number is less than or equal to a quantity that is 24 less than that same number,
[tex]7x\leq x-24[/tex]
Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
a. -25
b. 2
c. 3
d. 1
Answer:
[tex]a = 1[/tex]
Step-by-step explanation:
Given
[tex]4x - 3(x + a) = 2[/tex]
[tex]x = 5[/tex]
Required
Determine the value of a
[tex]4x - 3(x + a) = 2[/tex]
Substitute 5 for x
[tex]4(5) - 3(5 + a) = 2[/tex]
Open all brackets
[tex]20 - 15 - 3a = 2[/tex]
[tex]5 - 3a = 2[/tex]
Collect Like Terms
[tex]-3a = 2 - 5[/tex]
[tex]-3a = -3[/tex]
Solve for a
[tex]a = -3/-3[/tex]
[tex]a = 1[/tex]
some please help with this!!
Answer:
h. x=11
i. x=4 1/6 (1/6 is a fraction)
k. x=-8
l. x= 3 1/2 (1/2 is a fractio)
Step-by-step explanation:
2 points
6. The drawing below shows a ladder leaning against a building. Part B:
Suppose an identical ladder was put against a building that was 18 feet
high and the ladder reached the top of the building. How far away would
the bottom of the ladder be from the base of the building? Use
mathematics to justify your reasoning.
SUS
20 ft
CREARE
10 ft
Answer:
4.9 feet
Step-by-step explanation:
First, we need to determine the height of the building using the following:
[tex]L^2 = H^2 + B^2[/tex]
Where
H = Height of the building
L = Length of the first ladder = 20ft
B = Distance from the base of the building = 10ft
So, we have:
[tex]20^2 = H^2 + 10^2[/tex]
[tex]400 = H^2 + 100[/tex]
[tex]H^2 = 400 - 100[/tex]
[tex]H^2 = 300[/tex]
[tex]H = \sqrt{300[/tex]
Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:
[tex]L_2^2 = H^2 + B_2^2[/tex]
Where
[tex]L_2 = 18[/tex] --- Length of the second ladder
[tex]H = \sqrt{300[/tex] ----- Height of the building
So, we have:
[tex]18^2 = \sqrt{300}^2 + B_2^2[/tex]
[tex]324 = 300 + B_2^2[/tex]
[tex]B^2_2 = 324 - 300[/tex]
[tex]B^2_2 = 24[/tex]
Solving for B2, we have:
[tex]B_2 = \sqrt{24[/tex]
[tex]B_2 = 4.9[/tex]
3. Heights of 1-year-old girls are Normally distributed, with mean 30 inches and standard deviation of 1.2 inches. A company claims that taking 500 mg of vitamin C makes girls taller. In a random sample of 100 baby girls who were given 500 mg vitamin C daily from birth to 1 year, the mean height was 30.1 inches. Is this evidence for the company’s claim? Assume the standard deviation remains the same. To make this determination, calculate and interpret the p-value for the appropriate test.
Answer:
The p- value is [tex]p-value = 0.2033[/tex]
Its interpretation is
As [tex]p-value > \alpha[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 30 \ inches[/tex]
The standard deviation is [tex]\sigma = 1.2 \ inches[/tex]
The sample size is n = 100
The sample mean is [tex]\= x = 30.1[/tex]
Let assume the level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu \le 30[/tex]
The alternative is [tex]H_a : \mu > 30[/tex]
Generally the test test is mathematically represented as
[tex]z = \frac{\= x- \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{30.1- 30 }{\frac{1.2}{\sqrt{100} } }[/tex]
=> [tex]z = 0.83[/tex]
Generally from the z-table the probability of (Z > 0.83 ) is
[tex]p-value = 0.2033[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Cheesecake Factory has 5 vanilla, 10 strawberry, and 6 chocolate cheesecakes in the window for sale. What is the ratio of strawberry to total? *
Answer:
10:21
Step-by-step explanation:
emilythompson35464 hope this helps srry if it doesn't thoFind two consecutive integers whose product is 12 more than the square of the smaller
number.
Answer: The product of two consecutive even numbers is 12 more than the square of the smaller number. The product of the numbers is 6 and 8 is 48. Square of the smaller number (here 6) is 36. so, 12 + 36 = 48.
hope this helps:)
Step-by-step explanation:
Cris bought 30 pounds of sugar for $12 how many pounds of sugar did he get per dollar
Answer:
$0.4 / pds
Step-by-step explanation:
Total amount paid divided by total number of pounds bought
12/30
= 0.4
Please explain how to do this!!
9514 1404 393
Answer:
y = 55°
Step-by-step explanation:
You know the sum of angles in a triangle is 180°. So, ...
25° +30° +x = 180°
And, you know a linear pair of angles totals 180°:
x + y = 180°
Substituting for 180°, we have ...
25° +30° +x = x + y
Subtracting x from both sides, we get a relation that is useful to remember:
25° +30° = y
y = 55°
_____
This relation is usually described as ...
An exterior angle is equal to the sum of the remote interior angles.
The figure shows the letter W and four of its transformed images—A, B, C, and D:
Which of the four images was formed by a reflection of the letter W?
A
B
C
D
Answer:
The answer is c
Step-by-step explanation:
Beacuse when u the shape is transfrromed that what u get
(–15)0 is it less than one? Zero is an exponent.
Answer:
Yes its less than 0
Step-by-step explanation:
it would go behind the 0 on a number line
5. y = 7
Whats the slope
Answer:
The slope is 0
Step-by-step explanation:
Three-fourths of the sum of y and 3 plus the product of 9 and w
Answer:
¾(y + 3) + 9w
Step-by-step explanation:
Let's write it step by step:
Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)
Step 2: plus the product of 9 and w is;
¾(y + 3) + 9w
Thus,the final algebraic expression of the statement given in the question is;
¾(y + 3) + 9w
What polyhedron can be assembled from this net? Explain how you know.
Answer:
Step-by-step explanation:
You can fold the two big rectangles together and make a kinda box like thing, with the triangles as faces, but... there's no top!
Two.six divided by four equals?
Answer:
2x6/4=3
Step-by-step explanation:plz mark brainliest
Answer:
The answer is 1/12
Step-by-step explanation:
Divide: 2/6 : 4 = 2/6 · 1/4= 2 · 1/6 · 4 = 2/24 = 2 · 1 / 2 · 12 = 1 /12
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 2 gives 1/12
.
In words - two sixths divided by four = one twelfth.
S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°
Step-by-step explanation:
Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS
Given
m∠RQS=(4x-20)°
m∠SQT=(3x+14)°
m∠RQT=155°
The addition postulate is true
m∠RQT= m∠RQS + m∠SQT
Substitute the given parameters into the formula
155 = 4x-20+3x+14
155 = 7x-6
7x = 155+6
7x = 161
x = 161/7
x = 23
Solve for m∠RQS
m∠RQS = 4x-20
m∠RQS = 4(23)-20
m∠RQS = 92-20
m∠RQS = 72°
Solve for m∠SQT
m∠SQT = 3x+14
m∠SQT = 3(23)+14
m∠SQT = 69+14
m∠SQT = 83°
In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population.
Required:
What will be the standard deviation of the sampling distribution?
Answer:
The value is [tex]\sigma _x = 1.1832[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 25[/tex]
The population standard deviation is [tex]\sigma = 7[/tex]
The sample size is n = 35
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma _x = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma _x = \frac{7}{\sqrt{35} }[/tex]
=> [tex]\sigma _x = 1.1832[/tex]
create a equation that the answer is 64
Answer:
8x8
Step-by-step explanation:
Answer:
I have multiple.
Step-by-step explanation:
16x4=64
8x8=64
4x16=64
Martin charges $15 for every 5 bags of leaves he rakes last weekend he raked 20 bags of leaves how much money did he earn
Answer:
60 hope this helps
Step-by-step explanation:
15 divided by 5 =3
20 multiplied by 3 =60
Samantha estimates the product of 925 x 38 as 36,000. Without computing the exact answer, is her estimate reasonable? Explain
Please help ASAP