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Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read
89 pages. Which equation most closely estimates how many pages Kevin has
remaining to read?
The equation most closely estimates the number of pages Kevin has remaining to read will be x + 73 + 89 = 295.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.
Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read 89 pages.
Let 'x' be the number of pages to be read. Then the equation is given as,
x + 73 + 89 = 295
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A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes, weighs each of them and computes its mean. Due to non-random selection or by chance, a researcher selects packets that have not been adequately filled and that is how he gets the mean weight of 98 g, which falls in the rejection region. The decision is to reject the null hypothesis even though the population mean is actually 100 g. Which kind of error has the researcher done in this case
Answer:
The kind of error the researcher has done is a;
Type I error
Step-by-step explanation:
When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion
Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection
write as a square of a binomial: 4.8xy+36y^2+0.16 i will give brainliest plz solve
Answer:
[tex](0.4x + 6y)^2[/tex]
Step-by-step explanation:
Given
[tex]4.8xy+36y^2+0.16x^2[/tex]
Required
Express as a binomial squared
[tex]4.8xy+36y^2+0.16x^2[/tex]
Rewrite as:
[tex]0.16x^2+4.8xy+36y^2[/tex]
Expand
[tex]0.16x^2 + 2.4xy + 2.4xy + 36y^2[/tex]
Factorize:
[tex]0.4x(0.4x + 6y) + 6y(0.4x + 6y)[/tex]
Factor out 0.4x + 6y
[tex](0.4x + 6y)(0.4x + 6y)[/tex]
Express as a square:
[tex](0.4x + 6y)^2[/tex]
In a code the vowels A-U in alphabetical order are replaced by the numbers 1-5, while the consonants B-Z in alphabetical order are replaced by the numbers 1-21. Thus ‘1 1 1 2’ could stand for either ‘ABAE’ or ‘BABE’. If the five words below are encoded, and the code numbers for the letters in each word are added up, which word has the largest total?
a] MATHS
b] EQUALS
c] ALGEBRA
d] PLUS
e] GEOMETRY
Answer:
A beacuse why not ya knoe
In ΔRST, r = 210 cm, s = 500 cm and t=560 cm. Find the measure of ∠T to the nearest 10th of a degree.
Answer:
95.3
Step-by-step explanation:
Select all the reasons why random samples are preferred over other sampling methods. A random sample is likely to give you a sample that is representative of the population. A random sample is likely to give you a sample that is representative of the population. If you select a random sample, you can determine how many people you want in the sample. If you select a random sample, you can determine how many people you want in the sample. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected. A random sample is always the easiest way to select a sample from a population.
Answer:
The following statement below are reasons why random sampling are preferred over other sampling:
O. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected.
O. A random sample is always the easiest way to select a sample from a population.
O. A random sample is likely to give you a sample that is representative of the population.
Step-by-step explanation:
Mar 12, 8:09:33 PM
Triangle MNO is similar to triangle PQR. Find the measure of side RP. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
O
Q
21
49
M M
N
13
P
Answer:
Submit Answer
What is surface area of this? Click image
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
solve for x!! please helppp
Answer:
x=29
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
We know this is a right triangle, so the third angle is 90deg, leaving us with 90deg for the other two.
(2x-2) + (x+5) = 90
3x + 3 = 90
3x = 87
x = 29
Answer:
here u go ...just do it and try to understand who I did it
The two rectanglesare similar. Which is a correct proportion between correspoding sides? I need help
Answer:
c. 12/4 = l/8
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WILL GIVE BRAINYEST!!! PLS HELP!!!
Mr. Hudson walked 12 miles in 3 hours. At this rate,
how far will he walk in 5 hours? Write your answer in
a complete sentence AND show your work.
Leonardo puts $450 in a bank account that earns 3.5% simple interest. How much interest will he earn in four years?
Answer:
$63
Step-by-step explanation:
Answer:
$63
Step-by-step explanation:
i will give extra points please help
Answer:
22
Step-by-step explanation:
tbh I just plugged it in my calculator c:
hope this helped tho!!
A quadrilateral has angles that measure 60 , 115, and 80°. What is the measure of the missing angle?
Answer:
105
Step-by-step explanation:
The sum of a quadrilateral's angles is always equal to 360
360 - 60 - 115 - 80 = 105
Hope this helps :)
expand and simplify 2 (x+7) +3 (x+1)
2(x + 7) + 3(x + 1) =
= 2x + 14 + 3x + 3 = 5x + 17
Helppppppppp plzzzzz !!!!
In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn.
1) What is the probability that less 60% of them are girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
2) What is the probability that more than 70% of them to be girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
3) Would it be unusual for more than 70% of them to be girls.
Type "usual" or "unusual" in the box
Answer:
a
c
b
i think those are right hope im not wrong good luck
find 2 numbers if their sum is 3 and their difference is 21
Answer:
the 2 numbers are 12 and -9
Step-by-step explanation:
x + y = 3
x - y = 21 Adding:-
2x = 24
x = 12
y = 3 - x = 3 12 = -9
Answer the 2 numbers are 12 and -9
Answer:
The numbers are 12 and - 9.
Step-by-step explanation:
12 - 9 = 3
- 9 to 12 is 21
In 2007, Bob Jones University ended its fall semester a week early because of a whooping cough outbreak; 158 students were isolated with suspected infection and another 1200 given antibiotics as a precaution.14 Authorities react strongly to whooping cough outbreaks because the disease is so contagious. Because the effect of childhood vaccination often wears off by late adolescence, treat the Bob Jones students as if they were unvaccinated. It appears that approximately 1400 students were exposed. What is the probability that at least 75% of these students would develop infections if not treated
Answer:
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Step-by-step explanation:
Let Y be the no. of infections
The number of students who have been exposed to whooping cough is as follows:
n = 1400
n = 1400 and p = 0.8
nm = 1400 x 0.8
nm = 1120
n(1-m) = 1400 x (1-0.8)
n(1-m) = 280
Here,
Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.
The mean and standard deviation of number of new infections is:
u = np
u =1400 x 0.8
u = 1120 = mean
SD = Standard Deviation
SD = [tex]\sqrt{1120(1-0.8)}[/tex]
SD = 14.966
The number of infections is distributed in an approximately normal way
N(1120,14.966)
75% of 1400 means 0.75 x 1400 = 1050
So,
Probability required.
P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5) (Continuity Correction)
P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\geq[/tex] -4.71)
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)
Using the z table:
P (Y[tex]\geq[/tex] 1050) ≈ 1
Hence,
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Use the graph below to answer the question Y=-4(1/2)^x+2
Gabrielles age is three times Mikes age. The sum of their age is 88 what is Mikes age?
Answer:
22
lets say that mike's age is x.
then gabrielle's age is 3x
that means that
x+3x=88
4x=88 /:4
x=22
Answer:
22
Step-by-step explanation:
The number of square tiles of side 25cm which can be paved on a rectangular floor of 3m
× 2m is:
Answer:
96 square tiles can be paved on a rectangular floor.
Step-by-step explanation:
First, we need to find the area of the square tiles:
[tex]A_{t} = (25 cm)^{2} = 625 cm^{2}[/tex]
Now, the area of the rectangular floor is:
[tex] A_{f} = 3m*2m = 6 m^{2}*\frac{(100 cm)^{2}}{1 m^{2}} = 60000 cm^{2} [/tex]
Finally, the number of square tiles which can be paved on a rectangular floor is:
[tex] N = \frac{A_{f}}{A_{t}} = \frac{60000 cm^{2}}{625 cm^{2}} = 96 [/tex]
Therefore, 96 square tiles can be paved on a rectangular floor.
I hope it helps you!
what is the answer of this 10+6=8+
Answer:
8
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
Answer:
8
Step-by-step explanation:
10+6=18; 8+8=16
What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a
width of 2 m?
help anyone trying to get my assignments done over the weekend!!
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)
Answer:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
[tex]V = l * b * h[/tex]
Make h the subject of the formula
[tex]h = \frac{V}{lb}[/tex]
The surface area (S) of the aquarium is:
[tex]S = lb + 2(lh + bh)[/tex]
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]
[tex]C = 7lb + 2(lh + bh)[/tex]
[tex]C = 7lb + 2h(l + b)[/tex]
Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation
[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]
Differentiate with respect to l and with respect to b
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]
[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]
[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]
By comparison:
[tex]l =b[/tex]
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes
[tex]7l - \frac{2V}{l^2}=0[/tex]
[tex]7l = \frac{2V}{l^2}[/tex]
Cross Multiply
[tex]7l^3 = 2V[/tex]
Solve for l
[tex]l^3 = \frac{2V}{7}[/tex]
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]
Recall that: [tex]l =b[/tex]
[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]
Also recall that:
[tex]h = \frac{V}{lb}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]
Apply law of indices
[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]
[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The dimension that minimizes the cost of material of the aquarium is:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
PLEASE HELP PLEASEEEEE I NEED IT QUICKLYYY
Answer:
C
Step-by-step explanation:
If you need the explanation tell me
:D
find the m
A. 31
B. 12
C. 74
D. 106
Answer:
C is my answer
Answer:
D ∠U=106°
Step-by-step explanation:
∠TRS=∠RTU=31 (corresponding angles)
Since all angles in a triangle add up to 180:
∠TRS+∠RTS+∠RST=180
31+(4x-5)+(7x+22)=180
48+11x=180
11x=132
x=12
∠RST=7x+22=7(12)+22=84+22=106
∠RST=∠U (opposite angles in a rhombus are equal)
∠U=106°
An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematical skills, using a significance level of 0.05. The program is effective, which of the following would be an appropriate method for increasing power in this context?
a. Increase the sample size to 200 children.
b. Use a two-sided test instead of a one sided test.
c. Decrease the sample size.
d. Use alpha-0.01 instead of a-alpha.
e. Use a one sided test instead of a two-sided test.
Answer:
b) use a two-sided test instead of a one sided test.
Step-by-step explanation:
If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.
Mariko and her friend spent $24.50 on
lunch. Their lunches cost the same amount,
and they used a $4 off coupon. Determine
the cost of each lunch.
The cost: $14.25
Equation: 24.5=2c-4
The cost of each lunch is $10.25.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given;
Mariko and her friend spent $24.50 on lunch.
Their lunches cost the same amount,
and they used a $4 off coupon.
That means,
they spent = 24.5 - 4
= 20.50
And 20.50 divided by 2,
we get,
20.50/2
= 10.25
Therefore, $10.25 is the cost of each lunch.
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Please help will give brainliest
Answer:
25 is the area because5 times 5 equals 25
Step-by-step explanation:
hope this helps
Answer:
25
Step-by-step explanation:
