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Debora [2.8K]
3 years ago
7

Find the lengths of the bases of the trapezoid with a height of 10 ft. One base is 4ft longer than the other bases. The area is

120 square feet. Check the measurement of the TWO bases.
24
20
14
28
10
18
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

  10 ft, 14 ft

Step-by-step explanation:

Let b represent the length of the shorter base. Then the longer one is b+4 and the area is ...

  A = (1/2)(b1 +b2)h

  120 = (1/2)(b +(b+4))(10) . . . . use given values

  12 = b+2 . . . . . . divide by 10, simplify

  10 = b

  14 = b+4

The measurements of the two bases are 10 ft and 14 ft.

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Old Grandpa Joe left half his money to his granddaughter and half that amount to his grandson.
Usimov [2.4K]

Answer:

£12000

Step-by-step explanation:

Granddaughter -- 1/2 of x

Grandson -- 1/2(1/2 of x)

Brother -- 1/6 of x

Dogs' home -- £1000

Therefore,

\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x

x = 12000

Thenks and mark me brainliest :)

7 0
3 years ago
Suppose that a hypothesis test is conducted. 12 out of 100 subjects have the necessary qualities. The null hypothesis is that th
Veronika [31]

Answer:

Option A

The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

Step-by-step explanation:

Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.

If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0

though this doesn't mean we accept H0 automatically.

Now, applying this to our question;

The p-value is 0.023 while the significance level is 0.05.

Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.

The only option that is correct is option A.

5 0
2 years ago
Read 2 more answers
Someone pls help me solve this ;-;
Mazyrski [523]
5∛x + 4 = 44
5∛x = 40
  ∛x = 8
    x = 8^3
    x = 512

answer
C. 512
8 0
3 years ago
How do you do this? algebra II
Pavel [41]
3^x=23\\
x=\log_323\approx2.85
6 0
2 years ago
Seven clowns hold 4 balloons each at the fair. Draw and label a tape diagram to show the total number of balloons the clowns hol
Inessa05 [86]

Answer:

7 times 4 which is 28 at each fair.

8 0
3 years ago
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