The human average gestation time is 266 days from conception. A researcher suspects that proper nutrition plays an important role and that poor women with inadequate food intake should have shorter gestation times even when given vitamin supplements. A random sample of 20 poor women given vitamin supplements throughout the pregnancy has mean gestation time from conception x = 256 days. Human gestation times are approximately Normal with standard deviation ? = 16 days. The P -value for the researcher

Answer:

h = 20

Step-by-step explanation:

These two shapes are similar, so you can set up a proportion like so:

[tex]\frac{72}{45} =\frac{32}{h}[/tex]

→Cross multiply:

[tex]\frac{72h}{1440}[/tex]

→Divide 1440 by 72:

h = 20

[tex](\frac{9}{4} )(\frac{15}{8} )[/tex]

[tex]\frac{135}{32}[/tex]

[tex]=4\frac{7}{32}[/tex]

Answer:

$228.67

Step-by-step explanation:

Given that:

Terry has a monthly mortgage payment of $979.

Terry's annual taxes are $1200 per year. That implies that his escrow each month require to posses 1/12 of that amount.

i.e 1/12 × 1200 = $100 per month.

For his  homeowner's insurance which is $800 per year,

His escrow account each month is = 1/12 × 800 = $66.67

PMI = $62 per month.

Thus: The amount that is deposited  into Terry's escrow account each month is the sum total of $100 + $ 66.67 + $62 = $228.67

Answer:

Rachel can conclude that 28% were able to successfully reproduce the rhythm plus or minus 5.6%

Step-by-step explanation:

To find the sample proportion that is able to successfully reproduce the rhythm = 121/425 = 0.2847 = p

Using this formula, we can calculate the margin of error

Margin of error = z*√{[p (1-p)] / n}

Where we assume a 95% level of confidence so that z* = 1.96. since one is not given, p = 0.28457 and n = 245.

Margin of error = 1.96 x √(0.28457 (1-0.28457)] / 245}

Margin of error = 1.96 x √[(0.28457 (0.7154)] / 245

 = 1.96 x √(0.20/245)

 = 1.96 x √0.000816

  = 1.96 x 0.03

 = 0.056.

Thus, Rachel can conclude that 28% were able to successfully reproduce the rhythm plus or minus 5.6%

Answer:

2198

Step-by-step explanation:

10×10×3.14=314

314×7

Answer:

the answer is 290

Step-by-step explanation:

A = 2(wl + hl + hw)

Answer:

Step-by-step explanation:

This is a pretty easy one. Use the equation SA=2lw+2lh+2hw and substitute in the length, width, and height. Substitute than solve and you get 290 in^2

Answer:

B and C

Step-by-step explanation:

We need to find which one of these numbers is a perfect square. We know 7 and 13 can be eliminated since they're prime numbers so they can't be perfect squares. B and C are both perfect squares so that's the answer.

Answer:

B and C

Step-by-step explanation:

7 = 7

1.96 = [tex]\frac{196}{100}[/tex]

0.04 = [tex]\frac{4}{100}[/tex]

13 = 13

Answer:

x=11

Step-by-step explanation:

x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,

the measure of 2 is 7(11)-2+m=106.

so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108

now you do 7(11)= 77, and you subtract from both sides and get 31.

therefore, m=31.

hope this helps!

Answer:

x=11

Step-by-step explanation:

Answer:

6720 ways different

Step-by-step explanation:

In this case, we must calculate the different ways using the permutation formula:

nPr = n! / (n - r)!

where n is the total number of people and r would come being the group of person that you want to put together the groups, therefore n = 8 and r = 5

replacing:

8P5 = 8! / (8 - 5)!

8P5 = 6720

That is to say that there are 6720 ways different winning groups are possible

Answer:

(a) C.  {(A, B), (A, C), (A, D), (B, C), (B, D), (C, D)}

(b) C. {(A,B),(A,D),(B,C),(C,D)}

Step-by-step explanation:

Given four members eligible for selection:

Alice (A), Bill (B), Carol (C), and David (D).

The possible combinations are:

(A,B),(A,C),(A,D),(B,A),(B,C),(B,D),(C,A),(C,B),(C,D), (D,A),(D,B), (D,C)

Part A

Since the same pairs are equal i.e. (A, B)=(B , A),

The Sample space for a committee of two is:

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

This is Option C.

Part B

If both genders must be represented, we remove the entries that contain the same gender from the sample space above.

A and C -Female

B and D - Male

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

Therefore, the sample space if both genders are to be represented is:

{(A,B),(A,D),(B,C),(C,D)}

This is Option C.

Answer:

1. A

2. C

Not 100% sure but its my best guess

Answer:

The quadratic formula is x= -b±√b²-4ac all over 2a

Step-by-step explanation:

The -b±√b²-4ac is part of the numerator of the fraction. And b²-4ac is all under the radical sign. The denominator is 2a so you divide -b±√b²-4ac by 2a to get the solutions of the quadratic function. Hope this helps!!

Answer:

B

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

Answer:

AAAAAAAAAAAA answer is A

Step-by-step explanation:

Answer:

We conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

Step-by-step explanation:

The complete question is : In a random sample of 360 women, 65% favored stricter gun control laws. In a random  sample of 220 men, 60% favored stricter gun control laws. Test the claim that the proportion of women  favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a  significance level of 0.05.

Now, we are given that in a random sample of 360 women, 65% favored stricter gun control laws.

And in a random  sample of 220 men, 60% favored stricter gun control laws.

Let [tex]p_1[/tex] = proportion of women favoring stricter gun control laws.

[tex]p_2[/tex] = proportion of men favoring stricter gun control laws.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1\leq p_2[/tex]     {means that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1> p_2[/tex]     {means that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control}

The test statistics that would be used here Two-sample z-test for proportions;

                          T.S. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of women favoring stricter gun control laws = 65%

[tex]\hat p_2[/tex] = sample proportion of men favoring stricter gun control laws = 60%

[tex]n_1[/tex] = sample of women = 360

[tex]n_2[/tex] = sample of men = 220

So, the test statistics  =  [tex]\frac{(0.65 -0.60)-(0)}{\sqrt{\frac{0.65(1-0.65)}{360}+\frac{0.60(1-0.60)}{220} } }[/tex]

                                     =  1.205

The value of z test statistics is 1.205.

Now, at 5% significance level, the z table gives critical value of 1.645 for right-tailed test.

Since, our test statistics is less than the critical value of z as 1.205 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

Answer:

x = 30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

100 = 70+x

Subtract 70 from each side

100-70 = 70+x-70

30 =x

Answer:

[tex]x = 30 \: \: degrees[/tex]

Step-by-step explanation:

The sum of the of the exterior angle is equal to sum of the opposite interior angles in a triangle.

[tex]70 + x = 100 \\ x = 100 - 70 \\ x = 30 \: \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625[/tex]    

The p value for this case would be given by:

[tex]p_v =P(z<-1.625)=0.052[/tex]  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Step-by-step explanation:

Information provided

[tex]\bar X=19.87[/tex] represent the sample mean

[tex]\sigma=0.4[/tex] represent the population deviation

[tex]n=25[/tex] sample size  

[tex]\mu_o =68[/tex] represent the value that we want to test

[tex]\alpha=0.01[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 20[/tex]  

Alternative hypothesis:[tex]\mu < 20[/tex]  

The statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625[/tex]    

The p value for this case would be given by:

[tex]p_v =P(z<-1.625)=0.052[/tex]  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Answer:

rectangle ,triangle ,trapezoid ,octagon ..

Answer:

Mostly correct

For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.

For Q4, I think you were confused with the fractions,

4(i)

[tex](\frac{2}{3} )^{4} = (\frac{2^{4}}{3^{4}}) = (\frac{16}{81}) =0.198[/tex]

4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64

Hope this helps!

Answer:

i = correct

ii = correct

iii = correct

iv = correct

4

i = 16/81 => 0.1975308642

ii= 1/64

Answer:

A and C

Step-by-step explanation:

CD and AB

Answer:

CD & AB

Hope this helps!

The right answer is 5538.96 units^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer: 5538.96

Step-by-step explanation: 3.14× 42×42

42×42=1764

∴ 3.14×1764= 5538.96

Answer:

y = 0.5x + 1.5

Step-by-step explanation:

I just graphed the points with GeoGebra. Hope this Helps!

Answer:

56

Step-by-step explanation:

simple ratio: 7/95 = x/760

first, calculate 7/95 which is 0.0736

next, multiply that by 760, which would be 56

Answer:

Rejection of the claim about aspirin is more serious because the wrong aspirin dosage could cause more serious adverse reactions than a wrong vitamin C dosage. It would be wise to use a greater significance level for testing the claim about the aspirin.

Step-by-step explanation:

The wrong dosage of aspirin will cause more damage than a wrong dosage of vitamin C. Then, if we perform an hypothesis test for each mean, the rejection of the claim about the aspirin content is more serious than the vitamin C content.

In the case of the aspirin, we want to minimize the Type II error (accepting a false null hypothesis). This can be achieved increasing the sample size or/and increasing the significance level. Then, a significative difference between the claimed content and the sample content will be easily detected.

Answer:

Option (A)

Step-by-step explanation:

In the figure attached,

Quadrilateral ABCD has been translated to get an image quadrilateral A'B'C'D'.

To get the rule by which the pre-image ABCD has been translated, we will choose a point A(1, 1) from the given pre-image.

Coordinates of point A' are (3, -2).

So the change is,

A(1, 1) → A'(3, -2)

A(1, 1) → A'[(1 + 2), (1 - 3)]

A(x, y) → A'[(x + 2), (y - 3)]

Therefore, point A has been shifted 2 units right and 3 units down.

Option (A) will be the answer.

Answer:

The y-coordinate of point C' is 4

Step-by-step explanation:

In the picture attached, pentagon ABCDE is shown.

Rotation 90° counterclockwise about the origin transforms point (x,y) into (-y,x).

C is located at (4, 3), then C' is located at (-3, 4)

Answer:

4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The slope formula when given two points is

m = ( y2-y1)/(x2-x1)

    = (4 - -1)/(-1 -4)

    = (4+1)/(-5)

    = 5/-5

   =-1

Answer:

-1

Step-by-step explanation:

Use the equation for slope.

[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]

Plug in the given points into the equation.

[tex]m=\frac{4-(-1) }{-1- 4 }\\m=\frac{4+1 }{-5 }\\m=\frac{5}{-5 }\\m=\frac{1}{-1 }\\m=-1[/tex]

The slope is -1.

Answer:

A. Probability the man is colorblind = 0.07

B. Probability the woman is not colorblind = 0.996

C. Probability neither the man or woman is colorblind = 0.926

D. Probability at least one of the woman or man is colorblind = 0.074

Note: The given question is missing some values. The question below is a sample question.

"The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color blindness is much more common in men than in women (this is because the genes corresponding to the red and green receptors are located on the X-chromosomes). Approximately 7% of American men and 0.4% of American women are red-green color-blind.

(a) If an American male is selected at random, what is the probability that he is red-green colorblind?

(b) If an American female is selected at random, what is the probability that she is NOT red-green color-blind?

(c) If one man and one woman are selected at random, what is the probability that neither are

red-green color-blind?

(d) If one man and one woman are selected at random, what is the probability that at least one of them is red-green color-blind?"

Step-by-Step Explanation:

Let cbM and cbW represent the events that a man or a woman is colorblind, respectively.

(a) 7% of men are colorblind, P(CBM) = 7/100 = 0.07.

(b) 0.4% of women are colorblind = 0.4/100 = 0.004

P(not cbW) = 1 - P(cbW)

P(not cbW) = 1 - 0.004 = 0.996.

(c) Probability the woman is not colorblind, P(not cbW) = 0.996,

Probability that the man is not color- blind, P(not cbM) = 1 - 0.07 = 0.93.

The two events are independent of each other, therefore, their probabilities are multiplied together:

P(neither is colorblind) = P(not cbM) × P(not cbW)

= 0.93 × 0.996 = 0.926.

(d) Probability that at least one is colorblind is the complement of the set P (neither is colorblind).

Therefore, P(at least one is colorblind) = 1 - P (Neither is Colorblind)

= 1 - 0.926 = 0.074

Answer:

x1 = 4

x2 = -5

Step-by-step explanation:

There is a formula to solve the quadratic equations, which is:

[-b +- √ (b² - 4 ac) ] / (2a)

Quadractic equations have this look:

ax² + bx + c = 0

You need to stablish the numbers:

where a, is the number with x², b the x and c, the independent term.

x²  + x - 20 = 0 For this case:

a = 1 ; b = 1 ; c = -20. We replace in the formula

[-1 +- √ (1² - 4 1 (-20)) ] / (2 .1)

(-1 + √81) / 2 = 4

(-1 - √81) / 2 = -5

Answer:

x1= 4     ,    x2= -5

Step-by-step explanation:

put in calculator MOD 5 3

a= 1   b= 1   c= -20

Answer:

(a)D. The value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years.

(b)Discrete

(c) See below

Step-by-step explanation:

(a) X= payout of dental insurance a random variable

The payout of dental insurance, X is a random variable because the value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years. The correct option is D.

(b) X is a discrete variable. This is because its values are whole numbers.

The possible values are $1200, $160 and $0.

(c)

Therefore, the probability distribution of X is given below:

[tex]\left|\begin{array}{c|c|c|c}--------------&---&---&---\\X$(Payout of dental insurance)&\$1200&\$160&\$0\\--------------&---&---&---\\P(X)&0.06&0.59&0.35\\--------------&---&---&---\end{array}\right|[/tex]