A fraction with a numerator that is greater than or equal to the denominator is an

number pattern has 75 as its first term. The rule for the pattern is subtract 6. What is the sixth term

____ [38]

Since you subtract 6 and you have to find the sixth term, you can do:
-6×5=-30 ( negative shows you're subtracting and since 75 is the first term, then you have to find the difference of the input/term 6-1, the sixth term minus the first)
75-30=45
You can check by actually continuing the pattern.
75,69,63,57,51,45,39......

4 0

2 years ago

William and Emma go into a burger shop with a total of $40.00 to spend. Burgers cost $4.50 each and soft drinks cost $1.00 each.

Ainat [17]

Answer:

12 items in total

Step-by-step explanation:

40-4.5*8=4
leaving 4 dollars to spend on 4 drinks

5 0

2 years ago

In the 1980’s, a clinical trial was conducted to determine if taking an aspirin daily reduced the incidence of heart attacks. Of

zubka84 [21]

There is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

$H_{0} :p{1} -p_{2} =0$

$H_{1}:p_{1} -p_{2} < 0$

We have to find the respective probabilities.

$p_{1}$ =104/11037

=0.0094

$p_{2}$ =189/11034

=0.0171

Now their respective margin of errors.

$s_{1}$ = $\sqrt{ {(0.0094*0.9906)/11037}$

=0.0009

$s_{2}$ = $\sqrt{0.0171*0.9829}$

=0.0011

Hence the distribution of the differences,they are given by:

p= $p_{1} -p_{2}$

=0.0094-0.0171

=-0.0077

S= $\sqrt{s_{1} ^{2}+s_{2} ^{2} }$

= $\sqrt{(0.0009)^{2} +(0.0011)^{2} }$

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.

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6 0

1 year ago

Write the coefficient of x in the following term. <br><br> 24x

chubhunter [2.5K]

Answer:

24

Step-by-step explanation:

definition of coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)

5 0

2 years ago

Read 2 more answers

drag the gray arrow so that it is pointing midway between horizontal and vertical, heading downward and toward the right. extend

alex41 [277]

The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.

These are due to the Doppler effect, the equation of frequency detected by the observer as

$f_o = f_s\sqrt{\frac{1-\beta }{1+\beta } }$ where $\beta = \frac{v}{c}$ , v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.

Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

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7 0

6 months ago