solve for x round to the nearest tenths

The null and alternative hypothesis for the tests are:

H0: μ = 20

Ha: μ < 20

Given data:

In this situation, the null and alternative hypotheses can be formulated as follows:

Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.

Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.

In symbolic notation:

H0: μ = 20

Ha: μ < 20

where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.

The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.

To learn more about null and alternative hypothesis, refer:

https://brainly.com/question/30535681

#SPJ12

Answer:

Neither the normal distribution nor the t distribution applies.

Step-by-step explanation:

Hello!

The histogram attached shows the salary (in dollars) of 63 football players.

As you can see most of the values of this distribution are around 0 and the distribution is extremely asymmetrical (right skewed).

To apply a t-test to study the population average the population has to have a normal distribution.

The same goes for the standard normal distribution, but in this case, considering that the sample is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal X[bar]≈N(μ;δ²/n), but since the population variance is unknown, this is also not applicable.

The correct choice is the last one, since the conditions to apply the t test and the standard normal are not met.

I hope this helps!

Answer:250

Step-by-step explanation:

25% of 1000

25/100 x1000

(25 x 1000)/100

25000/100=250

Answer:

3x + 2y = -2

Step-by-step explanation:

Given Equation is − 2 x  +  3 y  =  12

3 y  = 2 x  +  12

y =  ( 2 /3 )  y  +  12

Slope of this line is  m  =  2/ 3

Slope of Line A m a  =  2

Slope of Line B  m b  =  2/ 3

Slope of Line C  m c  =  − ( 2 /3 )

Slope of Line D  m d  =  −  ( 3 /2 )

since  m d  =  − 1 /m  ,  D  is perpendicular to the given line

Answer:

(-2,1)

Step-by-step explanation:

Answer: 3600 seconds

Step-by-step explanation:

60 seconds in a minute

60 minutes in an hour

(60)(60) = 3600

Answer:

3600

Step-by-step explanation:

There are 60 seconds in 1 minute

30 minutes equal 1800

So, 1800 + 1800 is 3600.

Hope this helps! :)

Since the line is parallel to x = 8, the slope doesn't change.

In this case, the slope is undefined so nothing changes.

All we need to do is find the x-coordinate in (-3, -2). The x-coordinate is -3.

So, the equation will be x = -3

Best of Luck!

Answer:

0.733

Step-by-step explanation:

Using a calculator or table:

P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)

P(-1.32 < Z < 0.94) = 0.8264 − 0.0934

P(-1.32 < Z < 0.94) = 0.733

Answer:47.05 miles

Step-by-step explanation:

Divide 188.20 by 4 be careful of where you put the decimal point. It is also possible to multiply 188.20 by .25 and get the same answer.

Answer:

True

Step-by-step explanation:

You should always check just in case a mistake or miscalculation was made. To check, substitute the value you got for the variable into the equation and solve.

For example,

x=2

8x-2=14

Substitute 2 in for x

8(2)-2=14

16-2=14

14=14

Since this is true, we know that 2 is the correct solution.

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

Answer:

Your answer will be [tex]12[/tex] cups of popcorn.

Step-by-step explanation:

To find out how much the new bags hold, you need to find out the discount.

[tex]\frac{20}{100 } = .2[/tex]

[tex]15 * .2 = 3[/tex]

We know that the discount is [tex]3[/tex].

To figure out how much the new bags hold, subtract by the old bags.

[tex]15 - 3 = 12[/tex]

The new bags hold 12 cups of popcorn.

Answer:

Step-by-step explanation:

If Sam subtracts 17 elephants from his collection, he has 339 stuffed animals that are 2/3 elephants and 1/3 cats.

The number of cats is 339/3 = 113.

The number of elephants is 356 -113 = 243 = 2·113 +17.

Sam has 113 cats and 243 elephants.

Answer:

Terry made $14 selling cookies.

Step-by-step explanation:

[tex]67-53=14[/tex]

Answer:

$14

Step-by-step explanation:

She made $14 selling cookies.

$67-$53=$14

Answer:

B. $424.000

Step-by-step explanation:

The function a(t)=424(1+0.06)

Step-by-step explanation:

First it will be easer if you turn both sides into improper fractions

5/3-7/3

Now do 5-7

5-7=-2

The bottom of the fraction stays the same

-2/3 is your answer.

Answer:

b = -2

Step-by-step explanation:

Start with your given:

-3b + 7 = 13

Subtract 7 on both sides:

-3b = 6

Then, divide -3 on both sides and solve:

b = -2

Answer:

b = -2

Step-by-step explanation:

You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.

Hope this helps.

Answer:

The height of the cloud cover is 441.66 meters

Step-by-step explanation:

Distance = 560 m

The height of the cloud cover = h meters

According to the diagram, the worker stands at point R,

Let RT = x

tan 45⁰ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{x}[/tex]

therefore, 1 =  [tex]\frac{h}{x}[/tex], h = x

Then tan 75⁰ = [tex]\frac{h}{560-x}[/tex], substituting x = h, we have

3.732 = [tex]\frac{h}{560-h}[/tex]

3.732(560 - h) =  h

3.732 × 560 = 3.732h + h

2089.92 = 4.732h

h = 441.66 m

The height of the cloud cover is 228.62 meters

The given parameters are:

[tex]\mathbf{\alpha = 75^o}[/tex]

[tex]\mathbf{\theta = 45^o}[/tex]

[tex]\mathbf{d = 560m}[/tex]

See attachment for the image of the cloud cover.

From the attached image, we have the following sine ratios:

[tex]\mathbf{sin(75) = \frac hx}[/tex]

[tex]\mathbf{sin(45) = \frac h{560 - x}}[/tex]

Make h the subject in both equations

[tex]\mathbf{ h = xsin(75)}[/tex]

[tex]\mathbf{ h = (560 - x) sin(45)}[/tex]

So, we have:

[tex]\mathbf{ xsin(75) = (560 - x) sin(45)}[/tex]

Open brackets

[tex]\mathbf{ xsin(75) = 560sin(45) - x sin(45)}[/tex]

Collect like terms

[tex]\mathbf{ xsin(75) + x sin(45)= 560sin(45) }[/tex]

Evaluate sine 45 and 75

[tex]\mathbf{ 0.9659x + 0.7071x= 560 \times 0.7071}[/tex]

[tex]\mathbf{ 1.673x= 395.976}[/tex]

Divide both sides by 1.673

[tex]\mathbf{ x= 236.69}[/tex]

Recall that:

[tex]\mathbf{ h = xsin(75)}[/tex]

So, we have:

[tex]\mathbf{h = 236.69 \times 0.9659}[/tex]

[tex]\mathbf{h = 228.618871}[/tex]

Approximate

[tex]\mathbf{h = 228.62}[/tex]

Hence, the height of the cloud cover is 228.62 meters

Read more at:

https://brainly.com/question/16979479

Answer:

a. Yes

Step-by-step explanation:

Problems of normally distributed samples 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.

If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.

In this question:

[tex]\mu = 7, \sigma = 3[/tex]

Would you be surprised if it took less than one minute to find a parking space?

We have to find the z-score when X = 1. So

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

[tex]Z = \frac{1 - 7}{3}[/tex]

[tex]Z = -2[/tex]

Since Z = -2, the correct answer is:

a. Yes

Answer:

Step-by-step explanation:

quarters = 25 cents so 3 quarters is 75

nickels= 5 cents so 10

pennies= 11

11+10+75

Answer:

96¢

Step-by-step explanation:

25+25+25=75

75+5+5=85

85+1+1+1+1+1+1+1+1+1+1+1=96

Therefore Nathan has 96¢

Hope that helps! If you have any further questions comment down below or message me! Good luck!

Answer:

transitive property

Step-by-step explanation:

The given statement is an example of transitive property.

The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”.

Given that, ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3.

This is an example of transitive property.

Transitive property states that, if a = b and b = c then a = c

Hence, the given statement is an example of transitive property.

For more references on transitive property, click;

https://brainly.com/question/2437149

#SPJ2

Answer:33/9

Step-by-step explanation:

Log10(x+3)-Log10(x-3)=1

Log10((x+3)/(x-3))=1

(x+3)/(x-3)=10^1

(x+3)/(x-3)=10

Cross multiply

x+3=10(x-3)

Open brackets

x+3=10x-30

Collect like terms

10x-x=30+3

9x=33

Divide both sides by 9

9x/9=33/9

x=33/9

Answer:$42,000

Step-by-step explanation:

The total value of his large assets is $42,000.

Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.

Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.

The total value of his large assets is determined in the following steps given below.

[tex]\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000[/tex]

Hence, the total value of his large assets is $42,000.

Learn more about assets value here;

https://brainly.com/question/14897395

#SPJ2

Answer:

[tex]\frac{-abx^{6}+1 }{b}[/tex]

Step-by-step explanation:

Answer: [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{4} }{\frac{9}{4} }[/tex]

When multiplying by fractions, invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{5}{4}*\frac{4}{9}[/tex]

Simplify 4.

[tex]\frac{5}{9}[/tex]

Answer:5/9

Step-by-step explanation:

5/4 ➗ 9/4

The division sign would change to multiplication,and the numerator and denominator in the right hand fraction would be inverted

5/4 x 4/9

Multiply both fractions

(5x4)/(4x9)

20/36

Reduce the fraction to the lowest term by dividing both numerator and denominator by 4

(20 ➗ 4)/(36 ➗ 4)=5/9

Answer:

c) The population is the parents of the pediatrician's patients; the sample is the

10

1010 parents of patients selected.

Step-by-step explanation:

Answer:

c) The population is the parents of the pediatrician's patients; the sample is the

10

1010 parents of patients selected.

Step-by-step explanation:

Answer:

f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11

Step-by-step explanation:

hope this helps

There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

It is required to find the functions has f(0) and f(1).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

Using Intermediate value Theorem we have

If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point  (a ,b)  whereby F(c) = 0

The equation is

[tex]f(x) = e^{x} - 6 + 5x = 0[/tex] on  interval [0, 1],

This shows that the F(x) is continuous on (0,1).

[tex]f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1[/tex]

e = 2.7182

since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )

Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

Learn more details about function here:

https://brainly.com/question/12431044

#SPJ2