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Y_Kistochka [10]
3 years ago
5

Use figure ABCD draw a line segment from point B to D. Name and classify the triangles formed

Mathematics
1 answer:
TEA [102]3 years ago
8 0
The two triangles formed will be ADB and BCD

Hope this helps :)
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Mackenzie put $6,000.00 in a retirement account that offers 11% interest compounded annually. She makes no additional deposits o
Veronika [31]

Answer:

$39,960

Step-by-step explanation:

11% of 6000

= 11/100 × 6000

=$660

Year 1=$6,660.00

Year 6= $6,660.00 × 6 years

=$39, 960.00

8 0
2 years ago
23 ones times 2 tens
grandymaker [24]

Answer:

460

Step-by-step explanation:

23x20=460

3 0
2 years ago
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A new dental bondlng agent. When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive(called "Smartbon
Gemiola [76]

Answer:

(a) <em>H</em>₀: <em>μ ≥ 5.70 </em><em>vs. </em><em>Hₐ</em>:<em>μ < 5.70</em>

(b) The rejection region is (<em>t₀.₀₁,₉</em> <em>≤ -2.821</em>).

(c) The value of the test statistic is -4.33.

(d) The true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

Step-by-step explanation:

A hypothesis test should be conducted to determine that the if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

(a)

The hypothesis is:

<em>H</em>₀: The true mean breaking strength of the new bonding adhesive is not less than 5.70 Mpa, i.e. <em>μ ≥ 5.70</em><em>.</em>

<em>Hₐ</em>: The true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, i.e. <em>μ < 5.70</em><em>.</em>

(b)

The alternate hypothesis indicates that the hypothesis test is left-tailed.

The rejection region for the left tailed test will be towards the lower tail of the t<em>-</em>distribution curve.

The significance level of the test is: <em>α</em> = 0.01.

The critical value is:

t_{\alpha ,(n-1)}=t_{0.01,(10-1)}=t_{0.01,9}

Use the <em>t-</em>table for the critical value.

t_{\alpha ,(n-1)}=t_{0.01,9}=-2.821

Since rejection region is in the lower tail the critical value will be negative.

Thus, the rejection region is (<em>t₀.₀₁,₉</em> <em>≤ -2.821</em>).

(c)

The test statistic value is:

t=\frac{\bar x-\mu}{s/\sqrt{n}}

Given:

\bar x=5.07\\s=0.46\\n=10\\\mu=5.70

Compute the value of the <em>t</em>-statistic as follows:

t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{5.07-5.70}{0.46/\sqrt{10}} =-4.33

The value of the test statistic is -4.33.

(d)

The value of the test is less than the critical value.

t=-4.33

This implies that the test statistic lies in the rejection region.

Hence the null hypothesis will be rejected at 1% significance level.

<u>Conclusion:</u>

As the null hypothesis is rejected it can be concluded that the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

(e)

The conditions required for the <em>t-</em>test for single mean to be valid is:

  • The data should be continuous.
  • The parent population should be normally distributed.
  • The sample should be randomly selected.

5 0
3 years ago
Find the area of the triangle. 5 ft 8 ft ​
natima [27]

Answer:

40

Step-by-step explanation:

The formula for area is LxW, in this case it’s 5x8 which is 40.

8 0
2 years ago
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Solve for X <br><br> Will give brainiest
ELEN [110]

Answer:

x = -3

Step-by-step explanation:

55 + x + 74 + 54 = 180

x + 183 = 180

x = -3

8 0
2 years ago
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