Factor 4z² + 4z – 3.​

Answer:

The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.

Answer:

the first question is c

Step-by-step explanation:

2 x pi x the radius

2 x 3.14 x 8

Answer:

WX= 10.4

XY= 6

Angle W= 30

Step-by-step explanation:

I attached a picture of the work, I'm not sure if side WX is rounded correctly, but I'm definitely sure side XY and angle W are correct.

Answer:

2x-7=(x+10)/2

2(2x-7)=x+10

4x-14=x+10

4x-x=10+14

3x=24

x=24/3

x=8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The midsegment is half of GI , that is

2x - 7 = [tex]\frac{1}{2}[/tex] (x + 10) ← multiply both sides by 2 to clear the fraction

4x - 14 = x + 10 ( subtract x from both sides )

3x - 14 = 10 ( add 14 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Answer:

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Country A won x medals.

Country B won y medals.

Country C won z medals.

Total of 124 medals:

This means that [tex]x + y + z = 124[/tex].

Country B won 13 more medals than Country C.

This means that [tex]y = z + 13[/tex]

Country A won 34 more medals than the total amount won by the other two.

This means that:

[tex]x - (y + z) = 34[/tex]

From the first equation, we have that:

[tex]y + z = 124 - x[/tex]

So

[tex]x - (y + z) = 34[/tex]

[tex]x - (124 - x) = 34[/tex]

[tex]2x - 124 = 34[/tex]

[tex]2x = 158[/tex]

[tex]x = \frac{158}{2}[/tex]

[tex]x = 79[/tex]

Finding z:

Since [tex]x = 79, y = z + 13[/tex]

[tex]x + y + z = 124[/tex]

[tex]79 + z + 13 + z = 124[/tex]

[tex]2z + 92 = 124[/tex]

[tex]2z = 32[/tex]

[tex]z = \frac{32}{2} = 16[/tex]

Finding y:

[tex]y = z + 13 = 16 + 13 = 29[/tex]

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

Answer:

d) 10°

Step-by-step explanation:

The sum of supplementary angles always equal 180°.

Since two angles are supplementary, the two angles must add up to equal 180°. Angles A and B are known, so the equation is as follows.

[tex]A + B = 180\\(6x + 4) + (10x + 16) = 180\\\\[/tex]

Rearrange and combine like terms:

[tex]6x + 10x + 16 + 4 = 180\\16x + 20 = 180\\[/tex]

Isolate x:

[tex]16x = 180 - 20\\16x = 160\\x =10[/tex]

Answer:

a)

The null hypothesis is [tex]H_0: p = 0.91[/tex].

The alternate hypothesis is [tex]H_1: p < 0.91[/tex].

The decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

b)

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Step-by-step explanation:

Question a:

Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large:

At the null hypothesis, we test if the proportion is the same as the student population, of 91%. Thus:

[tex]H_0: p = 0.91[/tex]

At the alternate hypothesis, we test that the proportion for athletes is less than 91%, that is:

[tex]H_1: p < 0.91[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Test if the proportion is less at the 0.05 level:

The critical value is z with a p-value of 0.05, that is, z = -1.645. Thus, the decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

0.91 is tested at the null hypothesis:

This means that [tex]\mu = 0.91, \sigma = \sqrt{0.91*0.09}[/tex]

A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.

This means that [tex]n = 152, X = \frac{132}{152} = 0.8684[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8684 - 0.91}{\frac{\sqrt{0.91*0.09}}{\sqrt{152}}}[/tex]

[tex]z = -1.79[/tex]

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).

The p-value of the test is the probability of finding a sample proportion of 0.8684 or below. This is the p-value of z = -1.79.

Looking a the z-table, z = -1.79 has a p-value of 0.0367.

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Answer:

x=4/29, y=77/29

Step-by-step explanation:

Answer:

here you go! y = 2 x + 4. Swap sides so that all variable terms are on the left hand side. Swap sides so that all variable terms are on the left hand side. 2x+4=y. 2 x + 4 = y. Subtract 4 from both sides. Subtract 4 from both sides. 2x=y-4. 2 x = y − 4

Answer:

2, 4, -2

Step-by-step explanation:

The slope is directly in the equation, the variable m in the slope-intercept form of y = mx + b. This means that the slope is 2.

The y-intercept is the variable b in standard form, so 4 in this case.

To find the x-intercept, set y equal to zero.

0 = 2x + 4

2x = -4

x = -2

Answer:

The interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

Step-by-step explanation:

Given that a person deposits Rs 55000 in Bank P for 2 years at the rate of 10% per annum compounded annually, but after one year, bank has changed the policy and decided to pay semi annual compounded interest at the same rate, to determine what is the percentage difference between the compound interests of the first year and second year, the following calculation must be performed:

Year 1 =

55,000 x (1 + 0.1 / 1) ^ 1x1 = X

55,000 x 1.1 = X

60,500

Year 2 =

60,500 x (1 + 0.1 / 2) ^ 1x2 = X

60,500 x 1.05 ^ 2 = X

66,701.25 = X

55,000 = 100

60,500 = X

60,500 x 100 / 55,000 = X

110 = X

60,500 = 100

66,701.25 = X

66,701.25 x 100 / 60,500 = X

110.25 = X

Therefore, the interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

Answer:

D

Step-by-step explanation:

The answer is the side opposite /  hypotenuse.

Definitions

The side opposite is the side which is not connected directly with angle (A). So it is the line that is 24 units long.

The hypotenuse is the longest line of a right triangle. It is opposite the right angle. It is 30 in this case.

Answer

Sin-1(24)/30

You haven't got an answer that is correct.

Tan-1(24/18) would work

The answer that is given that will work is cos-1(18/30)

Answer:

and the question is...

Step-by-step explanation:

Answer:

B.34

Step-by-step explanation:

i did the math and I sure it's correct but if it's not am sorry

Answer:

bolts=12g and washers=7 g

Step-by-step explanation:

honestly, i tried to solve this by hand and made an error somewhere, but i set up two equations, then tried to use elimintation to solve for one variable. but in the end i went to my trusty calculator and created a matrix, then used the rref math to solve. sorry i couldnt be of more help

Answer:

Choose every tenth student entering the school and ask them if they like the dress code or not.

Step-by-step explanation:

This is a question of sampling. We need to make non-biased predictions using non-biased data. We can sample from every tenth student to stay proportional. Sampling many students can collect more data and can help keep the data non-biased.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

=41/5kg/630 g

=21/5kg/630g

=21/5×1000 g/630g

=4200g/630g

=20/3

Answer:

[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]

[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]

[tex] \large\sf \red{Simplify: - }[/tex]

[tex] \sf\: 4 \frac{1}{5}kg : 630g[/tex]

-,- -,- xD xD

Answer:

(y,x)=(12,-10)

Step-by-step explanation:

i think

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

sentence:-

If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

2) If the two lines do not intersect, then the vertical angles are not equal.

3) If the vertical angles are equal, then the two lines intersect.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

◇[tex] sentence:-[/tex]

If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

◇[tex]\sf{it is CONTRAPOSITIVE}[/tex]

2) If the two lines do not intersect, then the vertical angles are not equal.

◇[tex]\sf{it is INVERSE}[/tex]

3) If the vertical angles are equal, then the two lines intersect.

◇[tex]\sf{it is CONVERSE}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

of what

Step-by-step explanation:

Answer:

(-4,5)

x-midpoint -4

y-midpoint 5

Step-by-step explanation:

M=x1+x2/2 ,y1+y2/2

M=-8+0/2 , 9+1/2

M=-8/2,10/2

M=-4,5

x-midpoint -4

y-midpoint 5

Answer:A

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

by the way the ponts are put down i also had this on my test

Given:

The numbers are 160, 192, 240​.

To find:

The LCM of 160, 192, 240.

Solution:

The given numbers are  160, 192, 240​. Write the factor forms of these numbers.

[tex]160=2\times 2\times 2\times 2\times 2\times 5[/tex]

[tex]160=2^5\times 5[/tex]

[tex]192=2\times 2\times 2\times 2\times 2\times 2\times 3[/tex]

[tex]192=2^6\times 3[/tex]

[tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]

[tex]240=2^4\times 3\times 5[/tex]

Now, the LCM of given numbers is the product of all prime factors with highest degrees.

[tex]LCM=2^6\times 3\times 5[/tex]

[tex]LCM=64\times 15[/tex]

[tex]LCM=960[/tex]

Therefore, the LCM of given numbers is 960.

Answer:

4

Step-by-step explanation:

P(white) = 24/120

set up a proportion based on these results:

24/120 = x/20

cross-multiply:

120x = 480

x = 4

Answer:

[tex]\text{11) }x\approx 9.44,\\\text{12) }x\approx 7.88,\\\text{13) }x\approx 15.79,[/tex]

Step-by-step explanation:

In a right triangle only, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse of the triangle. (o/h)

The cosine of the angle is equal to the angle's adjacent side divided by the hypotenuse of the triangle. (a/h)

The tangent of the angle is equal to angle's opposite side divided by the adjacent side. (o/a)

*In all three of these problems, we will be using sine, since we are given the angle's opposite side and the hypotenuse. (o/h)

11) Using the reference above, we have the following equation:

[tex]\sin 19^{\circ}=\frac{x}{29},\\x=29\sin 19^{\circ},\\x\approx \boxed{9.44}[/tex]

12) Using the reference above, we have the following equation:

[tex]\sin 21^{\circ}=\frac{x}{22},\\x=22\sin 21^{\circ},\\x\approx \boxed{7.88}[/tex]

13) Using the reference above, we have the following equation:

[tex]\sin 33^{\circ}=\frac{x}{29},\\x=29\sin 33^{\circ},\\x\approx \boxed{15.79}[/tex]