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arsen [322]
3 years ago
12

Niña jumps 225 times in 3 minutes. At this rate how many times can she jump in 5 minutes

Mathematics
2 answers:
S_A_V [24]3 years ago
8 0
The answer is 375.
First , make a proportion:
225/x 3/5
Then multiply 225 by 5
225 times 5= 1,125
1,125 divided by 3=375

X=375
Tresset [83]3 years ago
5 0
225/3 = 75
75 x 5 = 375

Hope this helps.
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Could someone help me with this question? Leave an explanation of how you got this answer.
Alex73 [517]
I want to say either 1/2 or 1/12 but i cant explane sorry 
7 0
3 years ago
The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes
devlian [24]

Answer:

(a) There is no evidence to support the claim that the two machines produce rods with different mean diameters.

P-value is 0.818

(b) 95% confidence interval for the difference in mean rod diameter is (-0.17, 0.27).

This interval shows that the difference in mean is between -0.17 and 0.27.

Step-by-step explanation:

(a) Null hypothesis: The two machines produce rods with the same mean diameter.

Alternate hypothesis: The two machines produce rods with different mean diameter.

Machine 1

mean = 8.73

variance = 0.35

n1 = 15

Machine 2

mean = 8.68

variance = 0.4

n2 = 17

pooled variance = [(15-1)0.35 + (17-1)0.4] ÷ (15+17-2) = 11.3 ÷ 30 = 0.38

Test statistic (t) = (8.73 - 8.68) ÷ sqrt[0.38(1/15 + 1/17)] = 0.05 ÷ 0.218 = 0.23

degree of freedom = n1+n2-2 = 15+17-2 = 30

Significance level = 0.05 = 5%

Critical values corresponding to 30 degrees of freedom and 5% significance level are -2.042 and 2.042.

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.23 falls within the region bounded by the critical values -2.042 and 2.042.

There is no evidence to support the claim that the two machines produce rods with different mean diameters.

Cumulative area of test statistic is 0.5910

The test is a two-tailed test.

P-value = 2(1 - 0.5910) = 2×0.409 = 0.818

(b) Difference in mean = 8.73 - 8.68 = 0.05

pooled sd = sqrt(pooled variance) = sqrt(0.38) = 0.62

Critical value (t) = 2.042

E = t×pooled sd/√n1+n2 = 2.042×0.62/√15+17 = 0.22

Lower limit of difference in mean = 0.05 - 0.22 = -0.17

Upper limit of difference in mean = 0.05 + 0.22 = 0.27

95% confidence interval for the difference in mean rod diameter is between a lower limit of -0.17 and an upper limit of 0.27.

3 0
3 years ago
In the given figure, mWY = 76° and mXZ = 112. What is the difference of the measures of angle WPY and angle XPY?
skelet666 [1.2K]

Please consider the attached image for complete question.

We have been given that measure of arc WY is 76° and and measure of arc XZ is 112°. We are asked to find the difference of of the measures of angle WPY and angle XPY.

First of all we will find the measure of angle WPY using intersecting secants theorem. Intersecting secants theorem states that measure of angle formed by two intersecting secants inside a circle is half the sum of intercepting arcs.

m\angle WPY=\frac{1}{2}(\widehat{WY}+\widehat{XZ})

m\angle WPY=\frac{1}{2}(76^{\circ}+112^{\circ})

m\angle WPY=\frac{1}{2}(188^{\circ})

m\angle WPY=94^{\circ}

We can see that angle WPY and angle XPY are linear angles, so they will add up-to 180 degrees.

m\angle WPY+m\angle XPY=180^{\circ}

94^{\circ}+m\angle XPY=180^{\circ}

94^{\circ}-94^{\circ}+m\angle XPY=180^{\circ}-94^{\circ}

m\angle XPY=86^{\circ}

Now we need to find difference of both angles as:

m\angle WPY-m\angle XPY=94^{\circ}-86^{\circ}

m\angle WPY-m\angle XPY=8^{\circ}

Therefore, the difference of the measures of angle WPY and angle XPY is 8 degrees.

6 0
3 years ago
Read 2 more answers
Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, th
Romashka-Z-Leto [24]
X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740
7 0
3 years ago
Zaire, Manny, Richard, Navid and Gregory found a rope that was 271.5 feet long. If they cut the rope into equal pieces, what was
posledela

Answer:

43.5

Step-by-step explanation:

217.5/5

43.5

4 0
3 years ago
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