Answer:
x=-1.67 or x=-4
Step-by-step explanation:
3x+5=0 and 2x+8=0
3x=0-5 2x=-8,,,divide both sides by 2, the two's cancel then x=-4
3x=5 Divide by 3 to hve x on one side,,, thus the answer is -5÷3=1.666...
Answer:
-5/3 and -4
Step-by-step explanation:
I got it correct.
The volume of the prism is 81 m3. What is the volume of a pyramid that has the same base and height as this prism?
__m3?
Answer:
27
Step-by-step explanation:
When looking for the volume of a prism you multiply the base and height to get the volume. When looking for the volume of a pyramid of the same base and height all you need to do is multiply .333 or 1/3 in decimal form to get the correct answer.
The volume of the prism: (3)(3)(9) = 81
The volume of the pyramid: (1/3 or .333)(3)(3)(9) = 26.973 = 27
A survey of 47 people was conducted to compare their self-reported height to their actual height. the difference between reported height and actual height was calculated. you're testing the claim that the mean difference is greater than 1. from the sample, the mean difference was 1.2, with a standard deviation of 0.78. calculate the test statistic, rounded to two decimal places
Answer: The test statistic is 1.75.
Step-by-step explanation:
Since we have given that
n = 47
First mean difference = 1
and second mean difference = 1.2
Standard deviation = 0.78
So, the value of test statistic would be
[tex]t=\dfrac{\bar{x_1}-\bar{x_2}}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{1.2-1}{\dfrac{0.78}{\sqrt{47}}}\\\\t=\dfrac{0.2}{0.114}\\\\t=1.754[/tex]
Hence, the test statistic is 1.75.
The test statistic for the sample showing the difference between reported and actual height, with a mean difference of 1.2 inches, standard deviation of 0.78, and sample size of 47, is 1.96 when rounded to two decimal places.
Explanation:The test statistic for a sample where the population standard deviation is unknown and the sample size is small can be calculated using a t-test. The formula for the test statistic in a one-sample t-test is t = (\bar{X} - \mu) / (s/\sqrt{n}), where \bar{X} is the sample mean, \mu is the population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.
In this case, we are testing the claim that the mean difference in reported and actual height is greater than 1 inch. The null hypothesis (H0) is that the mean difference is less than or equal to 1 inch, and the alternative hypothesis (H1) is that the mean difference is greater than 1 inch. Given a sample mean difference of 1.2, a sample standard deviation of 0.78, and a sample size of 47, the test statistic is calculated as follows:
t = (1.2 - 1) / (0.78/\sqrt{47})
After calculating and rounding to two decimal places, the test statistic is approximately 1.96
I WILL GIVE YOU CROWN FOR ANSWER
k has two dispensers that can each hold 1.25 liters. She fills them with liquid hand soap from a store that charges $0.19 for every 50 milliliters of soap.
How much does it cost Anouk to fill both of her dispensers with hand soap?
Enter your answer in the box.
$
To find out the amount of milliliters from liters, multiply the value by 1000. This would give us 1250 mL of soap. Divide this by 50 to figure the amount of money it would take. 25, so multiply that by $0.19, $4.75 per bottle, and then multiply that by two.
Answer: $4.75 for one bottle and $9.50 for both bottles
20 POINTS Can someone help me this?
Answer:
Area of the shaded region= 80.4 cm²
Step-by-step explanation:
Area of the square = 10×10 cm² = 100cm²
Area of the circle= πr²=π(2.5)²=3.14 ×6.25cm²
= 19.625 cm ²
Area of the shaded region= 100cm²-19.625cm²
= 80.375cm²
= 80.4 cm²(PLEASE HELP) Evaluate the expression 2(8 − 4)^2 − 10 ÷ 2.
A. 11
B. 27
C. 56
D. 59
Answer:
27
Step-by-step explanation:
please tell me if i am wrong
What is the answer to 1/4 + 7/10 in its simplest form
[tex]\dfrac{1}{4} =0,25\\\dfrac{7}{10} =0,7\\\dfrac{1}{4} +\dfrac{7}{10}=0,25+0,7=0,95[/tex]
What is 0.090 % of the US population?
Answer:
9/100
Step-by-step explanation:
It would be 9/100 as a fraction if thats what your asking!
2. The values below represent the heights of 4 candles
on Rachel's mantle:
V45 in., 27 in., 6 in., 279 in.
Rachel wants to arrange the candles in ascending
order. List the correct order of the lengths.
Answer:
6, 27, 45, 279.
Based on arranging the height of candles in ascending order are:
The correct order of the candles from shortest to tallest would be:
6 in.
27 in.
45 in.
279 in.
What is the correct factorization of
x² + 5x – 6?
0 (x - 1) (x + 6)
o (x + 1) (x – 6)
o (x - 2) (x – 3)
O (x - 2) (x + 3)
Answer:
(x-1)(x+6)
Step-by-step explanation:
Answer:
What is the correct factorization of x2 + 5x – 6?
A.) (x – 1) (x + 6)
Complete the factorization shown: 3 then 2 are the blank numbers
Step-by-step explanation:
20 POINTS If the perimeter of a triangle is 14.4. What is the area?
Answer:
A = 9.9648
Step-by-step explanation:
if the triangle is equilateral =>
P = 3L => L = 14.4/3 = 4.8
A = L²√3/4
= (4.8)²√3/4
= 23.04√3/4
= 5.76×1.73
= 9.9648
two data sets and their mean absolute deviations are shown study study the plots of each data set and then use the data set and use the drop down menus yo answer the questions below.
Answer:
the first part is distant outlier, i got the other two wrong tho :,(
Answer:
spread out from and larger
Step-by-step explanation:
hope it helps
What is the value of x if the volume of the cone is 12 pi m3
Answer:
Height of the cone = 4 m
Step-by-step explanation:
Given:
Volume of a cube = (12π) m^3
Radius of the cone = (6/2) m = 3 m
We have to find the value of "x".
And "x" is the height of the cone from the figure shown.
Formula to be used:
Volume of the cone: 1/3(πr^2h)
Here height = "x"
⇒ [tex]V_c_o_n_e=\frac{\pi r^2 h}{3}[/tex]
⇒ [tex]V_c_o_n_e=\frac{\pi r^2 x}{3}[/tex]
⇒ [tex]3\times V_c_o_n_e=\frac{\pi r^2 x}{3}\times 3[/tex]
⇒ [tex]3\times V_c_o_n_e=\pi r^2 x[/tex]
⇒ [tex]\frac{3\times V_c_o_n_e}{\pi r^2} =\frac{\pi r^2\times x}{\pi r^2}[/tex]
⇒ [tex]x=\frac{3\times V_c_o_n_e}{\pi r^2 }[/tex]
⇒ [tex]x=\frac{3\times 12\pi }{\pi (3)^2 }[/tex]
⇒ [tex]x=\frac{36\pi }{9\pi }[/tex]
⇒ [tex]x=\frac{36}{9}[/tex]
⇒ [tex]x=4[/tex] meters.
The height of the cone "x" = 4 meters option A is the right choice.
1. 130 2/3 ft3
2. 226 in.3
3. 33 cm3
4. 4 m
5. 15 m
Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?
a. [tex]32 \pm 1.645\sqrt{\frac{(32)(18)}{50}}[/tex]b. [tex]32 \pm 1.96\sqrt{\frac{(32)(18)}{50}}[/tex]c. [tex]0.64 \pm 1.282\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]d. [tex]0.64 \pm 1.645\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]e. [tex]0.64 \pm 1.96\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]
Answer: D
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 50
x = 32
p = 32/50 = 0.64
q = 1 - 0.64 = 0.36
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.9 = 0.1
α/2 = 0.01/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 90% is 1.645
Therefore, the 90% confidence interval is
0.64 ± 1.645√(0.64)(0.36)/50
8. Mr. Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary
after his raise?
Answer:
75/2=32.5
Step-by-Step explanation
15/24 x 100
3/8 x 100
3/4 x 50
3/2 x 25
The price of a new motorcycle is $7000, but the value of the motorcycle drops by 9% each year. The function v(f) = 7000 • 0.91 models this situation for v dollars and t years. What is a realistic domain for this situation?
The domain is the set of all possible input values for the function. In this case, the realistic domain for this situation would be 0 ≤ t ≤ 25, indicating the number of years from the time the motorcycle is purchased up to 25 years later.
Explanation:The domain of a function in mathematics defines the set of input values for which the function is defined. In this case, the function [tex]v(t) = 7000 \times 0.91^t[/tex]is used to calculate the value of a motorcycle, where t is the number of years after the motorcycle was bought.
As time can't be negative in this real-world scenario, the smallest value for t is 0, representing the moment the motorcycle is bought. Theoretically, t can be any positive number, although it may not be practical to consider values of t that are too large, because the value of the motorcycle will decrease significantly after several years due to depreciation.
Again, if we assume that the motorcycle will be completely worthless after 25 years, a realistic domain would be 0 ≤ t ≤ 25, that is, from the year the motorcycle is bought to 25 years afterward.
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can you please help me
Step-by-step explanation:
Given
Now arranging in ascending order
7 , 12 , 13, 24 , 24
No of data (N) = 5
Now
Position of Median
= ( N+1) / 2 th item
= (5+1)/2 th item
= 3rd item
So Now
Exact Median = 13
What are the coordinates of the point on the directed line segment from (5, -5)(5,−5) to (7, 7)(7,7) that partitions the segment into a ratio of 3 to 1?
Answer:
The coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is (6.5, 4)
Step-by-step explanation:
Here we have the points on the line given as
(5, -5) and (7, 7)
Therefore to the distance between the x and y coordinates are;
x-coordinate difference, 7 - 5 = 2 and
y-coordinate difference, 7 - (-5) = 12 and
The required ratio is 3:1, that is 3 portions on one side and 1 portion on the other.
Therefore, the total portion of the line is 3 + 1 = 4
So we divide each of the differences between x and y by 3/4 and add it to the coordinate of the first point on the line as follows
x-coordinate difference × 3/4 = 2×3/4 =1.5
y-coordinate difference × 3/4 = 12×3/4 = 9
Therefore, the coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is
x-coordinate = 5 + 1.5 = 6.5
y-coordinate = -5 + 9 = 4
or (6.5, 4).
Answer:
(6.5,4)
Step-by-step explanation:
It looks a little sketchy but its correct
A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?
Answer: A, because the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. So, if the point of the center is [tex](5,7)[/tex] and the radius [tex]2[/tex] , then on the equation should be changed as negative and the radius should be multiplied as [tex]4[/tex], which is [tex](x-5)^2+(y-7)^2=4[/tex]
What expression represents the volume of the prism, in cubic units?
Final answer:
Volume of a prism is represented in cubic units as length x width x height. The SI unit of volume is cubic meter (m³) and a common unit is the liter (L), equivalent to a cubic decimeter (dm³).
Explanation:
Volume is defined as the amount of space occupied by a solid in cubic units, and for a prism that is length x width x height. In the case of volume, it goes like length cubed, represented as V = L³.
The SI unit of volume is cubic meter (m³), equal to the space occupied by a cube of 1m on each edge. A more commonly used unit of volume is the liter (L), which is equivalent to a cubic decimeter (dm³).
1/7 divided by 4. 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4
Answer:
0.035714285714286
Step-by-step explanation:
is the decimal form
You interview all of your family members at a picnic and record their age and shoe sizes. The data is shown in the table. Which number summarizes all of the data points in the age column with a single number? A.1.1 B.4 C.9.2 D.11
Answer:
no
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
A buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten. she will only accept the shipment if there is clear evidence that this proportion is less than 0.06 she selects a simple random sample of 200 apples from the over 20000 apples on the truck to test the hypotheses h0: p = 0.06, ha: p < 0.06. the sample contains 9 rotten apples. the p-value of her test is
Answer:
The p-value of her test is 0.15386.
Step-by-step explanation:
We are given that a buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten.
She selects a simple random sample of 200 apples from the over 20000 apples on the truck and the sample contains 9 rotten apples.
Let p = proportion of of apples in the shipment that are rotten.
SO, Null Hypothesis, [tex]H_0[/tex] : p = 0.06 {means that the proportion of apples in the shipment that are rotten is equal to 0.06}
Alternate Hypothesis, [tex]H_A[/tex] : p < 0.06 {means that the proportion of apples in the shipment that are rotten is less than 0.06}
The test statistics that will be used here is One-sample z proportion statistics;
T.S. = [tex]\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = proportion of apples that are rotten in a sample of 200 apples = [tex]\frac{9}{200}[/tex] = 0.045
n = sample of apples = 200
So, test statistics = [tex]\frac{0.045 -0.06}{{\sqrt{\frac{0.045(1-0.045)}{200} } } } }[/tex]
= -1.02
The value of the test statistics is -1.02.
Now, P-value of the test statistics is given by;
P-value = P(Z < -1.02) = 1 - P(Z [tex]\leq[/tex] 1.02)
= 1 - 0.84614 = 0.15386
Hence, the p-value of her test is 0.15386.
Using the z-distribution, it is found that the p-value for her test is of 0.1867.
The null hypothesis is:
[tex]H_0: p = 0.06[/tex]
The alternative hypothesis is:
[tex]H_a: p < 0.06[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.06, n = 200, \overline{p} = \frac{9}{200} = 0.045[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.045 - 0.06}{\sqrt{\frac{0.06(0.94)}{200}}}[/tex]
[tex]z = -0.89[/tex]
The p-value is found using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, with z = -0.89, and is of 0.1867.
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Trent tried to solve an equation step by step. \begin{aligned} \dfrac g{3}&=\dfrac43\\\\ \dfrac{g}{3} \cdot 3&=\dfrac43\cdot\dfrac13&\green{\text{Step } 1}\\\\ g&=\dfrac49&\blue{\text{Step } 2} \end{aligned} 3 g 3 g ⋅3 g = 3 4 = 3 4 ⋅ 3 1 = 9 4 Step 1 Step 2 Find Trent's mistake. Choose 1 answer:
Answer:
Step 1
Step-by-step explanation:
Trent multiplied one side of the equations by 3 but multiplied the other side of the equation by 1/3.
Trent should have multiplied both sides of the equation by 3 to isolate g.
Trent's mistake is in step 2 of their solution where they incorrectly multiplied by different values.
Explanation:Trent's mistake lies in step 2 of their solution. They incorrectly multiplied the numerator and denominator of &frac43 by &frac13. To solve the equation correctly, the numerator and denominator of &frac43 should be multiplied by the same value, which in this case is 3. The correct step would be to multiply &frac43 by 3, resulting in &frac49.
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Expand the expression ln 2a/b
Answer:in 2 + in a - in b
Step-by-step explanation: edge 2021
The expanded form is ln(2) + ln(a) - ln(b) of the expression ln(2a/b).
What is Expression?An expression is combination of variables, numbers and operators.
Using the properties of logarithms
log(a/b)=loga-logb
we can expand ln(2a/b) as follows:
ln(2a/b) = ln(2a) - ln(b)
Now we use the property log(ab)=loga+logb
ln(2a) = ln(2) + ln(a)
we can substitute this in the above equation:
ln(2a/b) = ln(2) + ln(a) - ln(b)
Therefore, the expanded form of expression ln(2a/b) is ln(2) + ln(a) - ln(b).
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sin(42) = cos(x)
Solve for x
Answer:
X = 48
Step-by-step explanation:
When you type sin(42) in your calculator it will give you something around 0.669.
If you try reverse sinus sin-1(0.669) it will give you 42.
Therefore you can say that:
Cos(x) = 0.669
So you can reverse the cos to get your answer
Cos-1(0.669) = 48
Or
Cos-1 (sin(42))
Find the GCF of 10 and 35.
A: 3
B: 4
C: 5
D: 6
i will give brainliest
Answer:
C. 5
Step-by-step explanation:
Find the factors of 10 and 35
Factors of 10:
1,2, 5, 10
Factors of 35:
1,5,7, 35
The greatest common factor between both is 5, so C is correct
(5^3)5
help me with my math i need to get up to an 70%
Answer: 625
Step-by-step explanation:
Do 5 to the third power, get the answer, and then multiply times 5 to get 625. Please mark this as the brainliest answer <3
The ratio of girls and boys in a swimming club was 2:5 .There we’re 20 girls.How many boys were there at the club?
Answer:
50
Step-by-step explanation:
divide 20 girls by 2 girls to get 10.
multiply 5 by 10 to get 50 boys.
A bag contains 9 marbles: 3 are green, 2 are red, and 4 are blue. Lena chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue? Write your answer as a fraction in simplest form.
Final answer:
The probability that both marbles chosen are blue is 1/6. This is calculated by multiplying the probability of drawing a blue marble on the first and second draws consecutively (4/9 × 3/8).
Explanation:
To calculate the probability that Lena chooses two blue marbles in a row from a bag containing 3 green, 2 red, and 4 blue marbles without replacement, we must consider two consecutive events. The probability of pulling one blue marble on the first draw is 4 out of 9, since there are 4 blue marbles out of a total of 9. After the first blue marble is drawn, there are now only 3 blue marbles left out of a total of 8 marbles (since one was not replaced). The probability of drawing a blue marble on the second draw is therefore 3 out of 8.
These two probabilities must be multiplied together to find the overall probability of both events occurring in sequence:
Probability of first blue marble = 4/9
Probability of second blue marble after the first is drawn = 3/8
Overall probability = (4/9) × (3/8) = 1/6
So, the probability that both marbles Lena chooses are blue is 1/6, which is already in its simplest form.
Use a sample n= 840 , p = 0.25, and a confidence level to construct a confidence interval estimate of the population proportion ,p.
The population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.
To construct a confidence interval estimate for a population proportion [tex]\( p \),[/tex] you can use the following formula:
[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \][/tex]
where:
[tex]- \( \hat{p} \)[/tex]is the sample proportion.
[tex]- \( Z \)[/tex] is the Z-score corresponding to the desired confidence level.
[tex]- \( n \)[/tex] is the sample size.
In this case:
[tex]\( n = 840 \)[/tex]
[tex]\( \hat {p} = 0.25 \)[/tex]
The confidence level is not specified, so let's assume a common confidence level of 95%. For a 95% confidence level, the Z-score is approximately 1.96.
Substitute these values into the formula:
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(1-0.25)}{840}} \][/tex]
Now, calculate the values:
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(0.75)}{840}} \][/tex]
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.1875}{840}} \][/tex]
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \times 0.0132 \][/tex]
Now, compute the upper and lower bounds of the confidence interval:
[tex]\[ \text{Lower Bound} = 0.25 - (1.96 \times 0.0132) \][/tex]
[tex]\[ \text{Upper Bound} = 0.25 + (1.96 \times 0.0132) \][/tex]
Finally, round the values to an appropriate number of decimal places. The confidence interval for the population proportion p is:
[tex]\[ \text{Confidence Interval} = (0.224, 0.276) \][/tex]
So, with 95% confidence, the population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.