Select the correct answer.
Solve the exponential equation for x.

Answer:

10 is the right answer

Step-by-step explanation:

please mark me as brainliest answer

Answer:

5.09 or 5.10(if u round up)

Step-by-step explanation:

When you convert √24 it will be 5.099

The decimal point must lie between 5 and 0

Hope this helps:)

Answer:

D

Step-by-step explanation:

Examples

-10 +9 = -1

-8 +9 = 1

-9+9=0

Answer:

x = 37.5

Step-by-step explanation:

The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees.  That gives us the number 105°

Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).

That gives us:

(180 / 105) / 2

= 75 / 2

= 37.5

Answer:

C

Step-by-step explanation:

The cost of 5 notebooks (5x)

Less than (<)

The cost of 3 notebooks (3x)

Plus a 2 dollar pen (2)

All together: 5x < 3x + 2

Matches with the given expression.

Answer:

$64.6

Step-by-step explanation:

15% off $76 = -$11.4 = $64.6

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

Answer:

i think

all the numbers between

0 to 4.6

Answer:

[tex]H'I = 48[/tex]

Step-by-step explanation:

Given

See attachment for complete question.

From the attachment, we have:

[tex]GH=16.5[/tex]

[tex]HI =24[/tex]

[tex]IJ = 17[/tex]

[tex]JG =32.2[/tex]

[tex]k = 2[/tex] --- Scale factor

Required

Find H'I

The corresponding side of H'I is HI.

So:

H'I is calculated as:

[tex]H'I = k * HI[/tex]

This gives:

[tex]H'I = 2 * 24[/tex]

[tex]H'I = 48[/tex]

Answer I to j is 42

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

2x50=100

3x25=75

4x10=40

4x5=20

100+75+40+20=2.35

Answer:

A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow

Step-by-step explanation:

The researcher found out that;

MBlue = 5.6 and MYellow = 3.42

This means that more customers found lemon snacks cake tinted blue as sweeter since Mblue > Myellow.

Null hypothesis is that lemon cake with blue coloring will make the cake-eating experience sweeter and more enjoyable.

Thus; since Mblue > Mellow, we will Fail to reject the null hypothesis and conclude that the customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.

Answer

I think they are things that you have to follow in order to work with the exponents

Answer:

Jacob had more home runs relative to his usual season average than Hugo did.

Step-by-step explanation:

The key solving this is to express their respective home runs in z-value forms.

Z = (x - ų)/óx

X = Current home runs

Ų = Mean

= Meanóx = Standard deviation

For Hugo,

X = Current home run = 31

Ų = Mean = 27

Óx = Stardard deviation = 1.6

Z = (x - ų)/óx

Z = (31 - 27)/1.6 = 2.5

Hope this helped!!!

The person who had more home runs relative to their usual seasonal average was Jacob.

Representing their home runs in z-value forms.

Where

= Meanóx = Standard deviation

To find the home run for Hugo,

Therefore,

Z = (x - ų)/óx

Z = (31 - 27)/1.6

= 2.5

Hence, Jacob had the most home runs relative to their usual seasonal average.

Read more about standard deviation here:

https://brainly.com/question/12402189

Answer:

a) [tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]

b) The 95th percentile is 4.4935 hours.

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 zscore 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 pvalue, 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.

The reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours.

This means that [tex]\mu = 4, \sigma = 1.2[/tex]

16 reviews.

This means that [tex]n = 16, s = \frac{1.2}{\sqrt{16}} = 0.3[/tex]

A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs.

This is the pvalue of Z when X = 4.25 subtracted by the pvalue of Z when X = 3.5. So

X = 4.25

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{4.25 - 4}{0.3}[/tex]

[tex]Z = 0.83[/tex]

[tex]Z = 0.83[/tex] has a pvalue of 0.7967

X = 3.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3.5 - 4}{0.3}[/tex]

[tex]Z = -1.67[/tex]

[tex]Z = -1.67[/tex] has a pvalue of 0.0475

0.7967 - 0.0475 = 0.7492

So

[tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]

C. Find the 95th percentile for the mean time to complete one month's reviews.

This is X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.645 = \frac{X - 4}{0.3}[/tex]

[tex]X - 4 = 0.3*1.645[/tex]

[tex]X = 4.4935[/tex]

The 95th percentile is 4.4935 hours.

Answer:

42

Step-by-step explanation:

It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get

x=140.

we check if that number is true by finding 80% of 140.

4/5 * 140 = 112. So that means 140 is the number we want

30% of 140 is 3/10 * 140, which is 420/10, which is 42

Answer:

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Step-by-step explanation:

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.

Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.

This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]

Which value separates the top 2% of the weekly discarded paper weights in this area?

This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]

[tex]X - 7.95 = 2.054*3.12[/tex]

[tex]X = 14.36[/tex]

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Answer:

The third angle measures 66°

Step-by-step explanation:

If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.

57+57=114

180-114=66

We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.

57+57+66=180

We were correct! Now we have the measurements of all three of the triangle's angles. Great job!

I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

Differentiate w.r.t time (t)

[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]

[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

From the question, we have that the plan travels are 510mi/h.

This implies that:

[tex]\frac{dx}{dt} = 510mi/h[/tex]

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

[tex]y = 2mi[/tex]

Apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

[tex]x^2 + 1^2 = 2^2[/tex]

[tex]x^2 + 1 = 4[/tex]

[tex]x^2 = 4-1[/tex]

[tex]x^2 = 3[/tex]

[tex]x = \sqrt 3[/tex]

So, the expression becomes:

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]

[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]

[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]

[tex]\frac{dy}{dt} = 441.655[/tex]

[tex]\frac{dy}{dt} = 442[/tex]

Hence, the distance is 442 miles

Answer:

I do not know

Step-by-step explanation:

Answer:combination

Step-by-step explanation: just did the assignment

Answer:

12 i believe

Step-by-step explanation:

volume; LxWxH

3x2x2

3x2=6

6x2=12

sorry if this is wrong lol but this is what i believe it is

Answer:

His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.

Answer:

Its slope is

m = -1/(1/2) = -2

y = -2x + b

Get b from the given point.

-4 = -2(6) + b

b = 8

y = -2x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given slope (m) = -3/4

and x1 = 6

and y1 = 4

Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)

-3/4 = (4-y1)/(6-0)

-3/4 = (4-y1)/6

-(3/4)*6 = 4 - y1

-18/4 = 4 - y1

y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2

therefore the correct answer should be:

Equation of the line:

y = -3/4x + 8 1/2

Answer:

Group one has the larger median

Step-by-step explanation:

Group One:

By taking off 8 on both ends we see that the median is 53 for group one.

33, 35, 40, 41, 43, 46, 48, 49, 53, 54, 55, 58, 58, 58, 62, 62, 67

Group two:

By taking off 8 on each end as well we get 47 and 49.

35, 38, 40, 41, 42, 43, 47, 47, 47, 49, 50, 50, 53, 54, 57, 61, 66, 69

we then take the average of the two numbers

47 + 49 = 96

96 / 2 = 48

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

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.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that [tex]\mu = 650, \sigma = 20[/tex]

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{620 - 650}{20}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{700 - 650}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Answer:solve for x 5a/x = 5b/ x-1 - 11261842. ... out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b).

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

6.4×1/4=1.6

6.4-1.6=4.8

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE