An economist believes that interest rates for thirty-year fixed-rate mortgage loans are decreasing. To investigate this further, the economist would like to test the claim that the percent of thirty-year fixed-rate mortgage loans that have a 4.75 percent interest rate is less than 22%. They decide to complete a hypothesis test at a 1% significance level. They sample 40 thirty-year fixed-rate mortgage loans, and determine the sample percent to be 12.5%. The following is the data from this study:
Sample size = 40 thirty year fixed-rate mortgage loans
Sample proportion = 0.125
Identify the roll and alternative hypothesis for this study by nilling in the blanks with the correct (=, <, or > or to represent the correct hypothesis).

Answer:

334

Step-by-step explanation:

Answer:

the tax amount is $3.7

Step-by-step explanation:

Given that

The price of the sweatshirt is $74

And, there is a 5% tax

So we assume that We need to find out the tax amount

So here the following formula should be used

= Price of the sweatshirt × tax rate

= $74 × 0.05

= $3.7

Hence, the tax amount is $3.7

So the same would be considered and relevant

d

.........................

Answer:

Crew neck is the most popular, so she should probably order that

Step-by-step explanation:

Answer:

Crew Neck t-shirts are most efficient

Answer:

Your answer would be 30 km/h for her average pace.

Step-by-step explanation:

I filled out info for a pace calculator and this is what the average speed was. Hope this helps and have a nice day.

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex]        [Angle sum property]

[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]

[tex]m\angle P+116^\circ=180^\circ[/tex]

[tex]m\angle P=180^\circ -116^\circ[/tex]

[tex]m\angle P=64^\circ[/tex]

According to Law of Sines, we get

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using the Law of Sines, we get

[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]

[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]

Substituting the given values, we get

[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]

[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]

[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]

[tex]2.38989=PQ[/tex]

Approximate the value to the nearest tenth of a foot.

[tex]PQ\approx 2.4[/tex]

Therefore, the length of PQ is 2.4 ft.

Answer:

293 seconds

Step-by-step explanation:

60*4=240

240+53=293

Answer:

Bike

Step-by-step explanation:

Anna should go biking because when she runs it goes 63 calories per mile, and 63*2 is just 126 and that does not meet the goal of 142 calories. However, in biking if she goes 3 miles she burns 240 calories, so 240/3=80 so that means 80 calories a mile. 80*2 miles makes 160 which is more than enough calories burnt.

Answer:

Anna Should bike

Step-by-step explanation:

Run:

When she runs she only burns 63 calories in an hour, since she wants to travel 2 miles, multiply 63 by 2 which equals 124 calories per two hours. 124<142, so running wouldn't burn 142 calories.

Bike:

when she bikes, she burns 240 calories per every 3 miles. you have to find how many calories she burns in 1 mile first. To do this you divide 240 by 3. This equals 80 calories every mile. Because she wants to travel 2 miles, multiply 80 by 2 to get 160 calories burned every 2 miles. since 180>160 she should take the bike.

9514 1404 393

Answer:

  10 1/16 cm

Step-by-step explanation:

The Pythagorean theorem can be used.

  (8 +x)² = x² +15²

  64 +16x +x² = x² +225

  16x = 161

  x = 161/16 = 10 1/16 = 10.0625 . . . cm

Answer:

Trinomial

[tex]m^2 - 13m + \frac{169}{4}[/tex]

Binomial squared

[tex](m - \frac{13}{2})^2[/tex]

Step-by-step explanation:

Given

[tex]m^2-13m[/tex]

Required

Make a perfect trinomial

We have:

[tex]m^2-13m =[/tex]

-----------------------------------------------

Take the coefficient of m i.e. -13

Divide by 2 i.e. -13/2

Square i.e. (-13/2)

Add to both sides of the equation

-----------------------------------------------

[tex]m^2-13m =[/tex] becomes

[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]

[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]

Expand

[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]

Factorize:

[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Factor out m - 13/2

[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Write as square

[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]

Hence, the trinomial is:

[tex]m^2 - 13m + \frac{169}{4}[/tex]

And the binomial squared is:

[tex](m - \frac{13}{2})^2[/tex]

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

Answer:

The answer is negative thirty

Answer:

The answer is -450/15 = -30

Step-by-step explanation:

3 3/5 and -8 1/3 are numbers in mixed fractions. For getting the answer, the numbers must be converted into improper fractions with the formula =

Quotient * Divisor + Remainder = Dividend

Therefore;

=>   3 3/5 = 3 * 5 + 3 = 18/5

=>   -8 1/3 = -8 * 3 + 1 = -25/3

Now, we multiply the improper fractions.

=>   18/5 * (-25/3)

=>   -450/15

=>   -30 is the final answer

Hope this helps you!

Answer:

0.62 im 99% sure

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

Answer:

√-4 = 2 i

√-9 = 3 i

√-2 = 1.41421356237 i

Answer:

2

Step-by-step explanation:

Hello !

In order to add fractions...

*You must have a common denominator (remember the top is the numerator and the bottom is the denominator)

So...

1 1/2 + 1/2

Although both have a 2 at the bottom, you can't add these because 1 1/2 is a mixed number and 1/2 isn't. To add them, you have to turn 1 1/2 into an improper fraction. You do this by multiplying the denominator by the whole number and then adding that to the numerator.

So 1 1/2 is the same thing as 3/2.

Now, you can add straight across.

3/2 + 1/2 = 4/2

4/2 = 2

Your answer is : 2

I hope this helps, please let me know if you're confused or have any more questions and I'll be happy to help.

Have a wonderful night :)

Answer:

60 miles per hour

Step-by-step explanation:

240/4 = 60 miles per hour

Answer:

60 miles per hour

Step-by-step explanation:

In order to find the rate at which Marcia's family's' car is travelling, you would simply divide the total miles, which would be 240 or "d," by the time, which would be 4 hours or "t."

So, Marcia's family's car is travelling at 60 miles per hour.

Hope this helps :)

Answer:

Step-by-step explanation:

question 1a) hey, so it would look like this for example:

question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)

tell me if u have any questions

Answer:

E

Step-by-step explanation:

the chair can go in any time AFTER the bed, so let’s think bed first

then he wants to move the heavy stuff, then awkward.

so the dresser and desk are heavy, and the couch is awkward.

but the chair can go in at any time so E would make sense

Answer:

After 10 years the ratio will be 10500: 500000

Answer:

2.1%

Step-by-step explanation:

I converted the ration to a percent. (on g o o g l e)

Please Brainlyest

Answer:

blue one (c), not independent because P(A|B) ≠ P(A)

Step-by-step explanation:

Two events are independent of each other if you can mulitply them to get their intersection

To find the conditonal probability of two independent events you can use the following idea/formula

P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)

Now with the numbers we're given let's find P(A|B)

.24/.9= .26666666666667

Because this is not equal to .3 (or P(A)) the answer must be the blue one

Answer:

try searching it

Step-by-step explanation:

Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.

14:30 describes her class in terms of number of girls to total number of students

Answer:

one unique solution

Step-by-step explanation:

one unique solution => (-1, 2)

Answer:

B

Step-by-step explanation:

y = csc(x) and y = sec(x)

==========================================================

Explanation:

The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.

Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.

The same applies to...

So we can rule out choices B, E and F.

Only choice C and D have graphs that do not have any x intercepts at all.

------------

If you're curious why csc doesn't have any roots, consider the fact that

csc(x) = 1/sin(x)

and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.

sec(x) = 1/cos(x)

Answer: Subtracted 9.

Step-by-step explanation: To solve equations such as these, you always do the opposite than whatever the term is. For example, in your equation, "13" and "x" are MULTIPLIED together, which is why it's divided. The 9 is subtracted, which means it would need to be added to the other side.

Always remember that these equations are like scales- each side needs to be equal.

I hope this helps!

Answer:

Option C would be better than the others.

Step-by-step explanation:

She wants to learn about band members from a sample of the population. Option a isn't enough because flute players aren't the only ones who should be surveyed, she needs to know about all band members. B isn't right, it isn't logical to just survey people with names starting with J or M. So, c would be just right since she's surveying 2 band members from each school so she would get information from a sample of the population and not just from her school.