Answer:
54.07 inches
Step-by-step explanation:
Given the regression equation :
y = 18.5 + 0.890x
y = pulse rate in beats per minute
x = height
The best predicted pulse rate of a woman who is 65 inches
Put y = 65 in the regression equation :
65 = 18.5 + 0.890x
65 - 18.5 = 0.890x
46.5 = 0.890x
Divide both sides by 0.890
46.5 / 0.890 = 0.890x / 0.890
54.0697 = x
The best predicted pulse rate for a woman wo is 65 inches tall is 54.07 inches
In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.
Which equation can be used to find the nth term of the sequence, an?
an = 10 * 2n-1
an = 2n-1
an = 1/5 * 10n-1
an = 2 * 18n-1
Answer:
the first one
the first one Step-by-step explanation:
the first one Step-by-step explanation:from the formula Un =ar^n-1
where a is 2
where a is 2 r = 20/2=10
where a is 2 r = 20/2=10 so Un= 10×2^n-1
that's all.....have fun
Answer:
C.) an =1/5 * 10n-1
Step-by-step explanation:
D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.
Leaveing your answer...
Which angles are supplementary to each other?
What is the value of the expression below?
64^1/3
Answer:4
Step-by-step explanation:
Just did this question
Four gardeners record the weight, in pounds, of 5 pumpkins they grew. Which statement about the weights of the pumpkins is true? Gardener Kylie Mark Todd Greg Pumpkin Weights (lbs) 20, 21, 33, 40, 29 14, 19, 45, 20, 22 15, 15, 15, 30, 22 33, 34, 36, 39, 33
Answer:
Last Option: The range of weights for Greg's pumpkins is the least
Step-by-step explanation:
iReady Diagnostic
Find the value of 1
and 1/10-1/5
9514 1404 393
Answer:
9/10
Step-by-step explanation:
(1 1/10) - 1/5 = (1 1/10) -2/10 = 1 + (1/10 -2/10) = 1 -1/10 = 9/10
__
1.1 -0.2 = 0.9 = 9/10
The ratio of 8:5=(?)%
Answer:
The ratio of 8:5 = 160%
Step-by-step explanation:
1. Divide the first number by the second number
2. Multiply by 100 to convert to a percentage
pls answer this.
don't answer 1&2. just answer 3-10 thanks in advance!
Answer:
3. m<4=101°
4. sum of angle on a straight line
5. m<8= 101°
6.m<3=180-101°
=79°
7.sum =180°
8. alternate angles
9. and m<8
10. 180°
Answer:
3.
m<1=79°
m<4=180-79°=101°(linear pair)
4.
<7+<8=180°(straight line)
5.
m<6=101
m<8=101°[vertically opposite angle]
6.
m<3=180-101=79°
7.
180°
8.
alternate angle
9.
and <8
10.
180°
Beetles may be the most varied order of animals. New beetle species are authenticated, completely unpredictably, at a typical rate of one every 7.0 months. A supplement to a guide is planned to be published after 20 new species have been discovered. a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published
Answer:
The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.
Step-by-step explanation:
The Poisson distribution is used to solve this question, as we have only the mean. In this distribution, the standard deviation is the square root of the mean.
In this question, we have that:
Species are discovered at a rate of once every 7 months.
A supplement to a guide is planned to be published after 20 new species have been discovered.
a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published?
Mean is: 7*20 = 140 months.
Standard deviation is [tex]\sqrt{140}[/tex] = 11.8 months.
The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.
6 (n-3) - 2n = 10
Pleasee help
Answer: n = 7
(this website may help: https://www.symbolab.com/)
Step-by-step explanation:
What is the product of the expressions (3)(−2)(−5)(7)?
Answer:
210
Step-by-step explanation:
3*10*7
30*7
210
Remember when multiplying even number of negative terms, it cancels out the negative.
54,872 in expanded form
Answer:
54,000+800+70+2
Step-by-step explanation:
Answer:
Here is an answer
54,000+800+70+2
enlarge the line by scale factor-2,with point (6,5)as the centre of enlargement.Mark the ends of your lines with crosses using the cross-drawing tool
Dilation involves changing the size of a figure
The endpoints of the image are (-2,-1) and (6,1)
How to determine the coordinates of the imageThe coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (6,5)
The coordinates of the image are then calculated as:
[tex](x,y) \to (k(x -a) + a, k(y -b) + b)[/tex]
For (2,2), we have:
[tex](x,y) \to (2(2 -6) + 6, 2(2 - 5) + 5)[/tex]
[tex](x,y) \to (-2, -1)[/tex]
For (6,2), we have:
[tex](x,y) \to (2(6 -6) + 6, 2(2 - 5) + 5)[/tex]
[tex](x,y) \to (6, -1)[/tex]
Hence, the endpoints of the image are (-2,-1) and (6,1)
Read more about dilation at:
https://brainly.com/question/3457976
Given sin r = 0.5, what is cos r?
enter your answer as a decimal, rounded to the nearest hundredth.
Answer:
0.877 but rounded it will be 0.88
Help! I am being timed. Thank you
Answer:
C
Step-by-step explanation:
it taken 12 days for 10 men assemble a machine how long could it take for 15 men to assemble the machine?
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
Question A researcher wants a 30 milliliter acid solution with a concentration of 8%. She has concentrations of 2% and 11%. How much of each solution must she use to get the desired concentration?
Answer:
The researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.
Step-by-step explanation:
Given that a researcher wants a 30 milliliter acid solution with a concentration of 8%, and she has concentrations of 2% and 11%, to determine how much of each solution must she use to get the desired concentration, the following calculation must be performed:
100 x 0.11 + 0 x 0.02 = 11
90 x 0.11 + 10 x 0.02 = 10.1
80 x 0.11 + 20 x 0.02 = 9.2
70 x 0.11 + 30 x 0.02 = 8.3
66.666 x 0.11 + 33.333 x 0.02 = 8
30 x 0.6666 = 20
Therefore, the researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.
-5-4-3
3
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Answer:
[tex]Interval = (-2,1.5)[/tex]
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Increasing interval
To do this, we simply identify the interval at which the value of the graph increases.
The value has an increased interval between -2 and 1.5 (of the x-axis).
Hence, the increasing interval is:
[tex]Interval = (-2,1.5)[/tex]
Solving (b): Decreasing interval
To do this, we simply identify the interval at which the value of the graph decreases.
The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).
Hence, the decreasing interval is:
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
8 x 10 to the 5th power is how many time as great as 8 x 10 to the - 1 power
Answer:
B
Step-by-step explanation:
Edwin buys a video game that is $55. It is on sale for 20% off, and he has to pay 10% sales tax. Is the final cost the same as a 10% discount? Why or why not?
Answer:
No If it would be 10 percent of the total would be the price tag without tax
Step-by-step explanation:
What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1
Answer:
Step-by-step explanation:
hello :
use identity : a²-b²=(a-b)(a+b)
(2x+1) (2x-1)= (2x)²-1 =4x²-1
There are twenty classes at each of two middle schools. The number of students in each class at each school is shown in the dot plots below.
Number of Students in Each Class at Poplar Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.
Number of Students in Each Class at Oak Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.
Which statement correctly compares the mean number of students for the data in the plots?
There are about 2 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
There are about 5 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 5 more students in each class at Oak Middle School than at Poplar Middle School.
The dot plot is missing, so i have attached it.
Answer:
B: there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
Step-by-step explanation:
From the dot plot attached, we can find the average number of students per class for each school.
For Poplar Middle School;
Total number of students = (20 × 3) + (21 × 5) + (22 × 7) + (23 × 4) + (24 × 1) = 435 students.
There are 20 classes.
Thus;
average number of students per class = 435/20 = 21.75
For Oak Middle School;
Total number of students = (20 × 1) + (21 × 2) + (22 × 2) + (23 × 4) + (24 × 3) + (25 × 2) + (26 × 2) + (27 × 2) + (28 × 1) + (29 × 1) = 483
Average number of students per class ; 483/20 = 24.15
Difference in average = 24.15 - 21.75 = 2.40
This implies that there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
Answer:
da answer is B lesss goooo
Step-by-step explanation:
someone help me plzz
Answer:
1/4
Step-by-step explanation:
.
What is the total surface area of the rectangular pyramid below?
Answer:
c. SA = 596 ft²
Step-by-step explanation:
Area of the rectangular pyramid = Base area + area of the 2 equal lateral faces + area of the 2 lateral faces
Base area = length × width
Length = 16 ft
Width = 12 ft
Base area = 16 × 12 = 192 ft²
Area of the 2 lateral faces with the following dimension:
base = 12 ft
height = 15 ft
Area = 2(½bh) = 2(½*12*15) = 180 ft²
Area of the 2 lateral faces with the following dimensions:
base = 16 ft
height = 14 ft
Area = 2(½*14*16) = 224 ft²
✅Total surface area = 192 + 180 + 224 = 596 ft²
Use the distributive property to create an equivalent expression to 6(3j + 4 +j)
Answer:
24j + 24
Step-by-step explanation:
6(3j + 4 +j)
6(4j + 4)
24j + 24
Find the circumference of the circle and round to the nearest tenth
Answer:
The circumference is 45.2yd
Step-by-step explanation:
Given
[tex]d = 14.4[/tex] --- diameter
Required
Determine the circumference
The circumference is calculated as:
[tex]C =\pi d[/tex]
So, we have:
[tex]C =\pi * 14.4[/tex]
Take pi a 3.14
[tex]C =3.14 * 14.4[/tex]
[tex]C =45.216[/tex]
Approximate
[tex]C =45.2yd[/tex]
Each day a manufacturing plant receives a large shipment of drums of Chemical ZX-900. These drums are supposed to have a mean fill of 50 gallons, while the fills have a standard deviation known to be 0.6 gallon. Suppose the mean fill for the shipment is actually 50 gallons. If we draw a random sample of 100 drums from the shipment, what is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons
Answer:
0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.
This means that [tex]\mu = 50, \sigma = 0.6[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]
What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?
This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So
X = 50.12
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{50.12 - 50}{0.06}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 49.88
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{49.88 - 50}{0.06}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.
Find the compound amount on an investment of $8,500 at 7.5% compounded daily for 3.5 years.
Answer:
Accrued Amount: 10955.51, Total Interest: 2455.51
Step-by-step explanation:
A = P(1+r/n)nt
CI = A-P
Where,
CI = Compounded interest
A = Final amount
P = Principal
t = Time period in years
n = Number of compounding periods per year
r = Interest rate
does -(-(-e) = -e?
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Answer:
wth is this
show the pic of the question
If xy + y² = 6, then the value of dy/dx at x= -1 is
Hi there!
[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]
[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.