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3 years ago

What decimal is 1/10 of 0.08

Mathematics

2 answers:

Hatshy [7]3 years ago

7 0

0.008 is the correct answer

Nitella [24]3 years ago

6 0

1/10 * 0.08 = 0.008

You could also change it to:
0.1 * 0.08 = 0.008

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Please help ASAP 25 pts + brainliest to right/best answer

zhuklara [117]

Answer:

Step-by-step explanation:

LOGb(x)=y

4^5=1024

= log(4)1024=5

4 0

3 years ago

4/5+8/9 (don’t mind this)

Basile [38]

Answer:

Excact Form

76/45

Decimal Form

1.68 The 8 repeates itself

Mixed Number

1 31/45

Step-by-step explanation:

To add fractions, find the least common denominator and then combine

5 0

2 years ago

An insurance company selected a random sample of 500 clients under 18 years of age and found that 180 of them had had an acciden

Butoxors [25]

Answer:

a) The pooled proportion is p=0.3.

b) P-value = 0.000078

c) Lower bound = 0.0556

d) Upper bound = 0.1644

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the accident proportions differ between the two age groups .

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.05.

The sample 1, of size n1=500 has a proportion of p1=0.36.

$p_1=X_1/n_1=180/500=0.36$

The sample 2, of size n2=600 has a proportion of p2=0.25.

$p_1=X_1/n_1=150/600=0.25$ .

The difference between proportions is (p1-p2)=0.11.

$p_d=p_1-p_2=0.36-0.25=0.11$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{180+150}{500+600}=\dfrac{330}{1100}=0.3$

The standard error for the difference between proportions can now be calculated as:

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3*0.7}{500}+\dfrac{0.3*0.7}{600}}\\\\\\s_{p1-p2}=\sqrt{0.00042+0.00035}=\sqrt{0.00077}=0.0277$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.11-0}{0.0277}=\dfrac{0.11}{0.0277}=3.964$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=2\cdot P(t>3.964)=0.000078$

As the P-value (0.000078) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the accident proportions differ between the two age groups.

If we want to calculate the bounds of a 95% confidence interval, we start by calculating the margin of error.

For a 95% CI, the critical value for z is z=1.96.

Then, the margin of error is:

$MOE=z \cdot s_{p1-p2}=1.96\cdot 0.0277=0.0544$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.11-0.0544=0.05561\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.11+0.0544=0.16439$

The 95% confidence interval for the population mean is (0.0556, 0.1644).

5 0

3 years ago

Which part of the algebraic expression 7a - 4 is the constant?<br> 7a4<br> 4<br> 7 a<br> O7

Pavel [41]

Constant is 4. 7a has a variable so that can’t be a constant value. The only option left in the expression is 4

3 0

2 years ago

HELP

lord [1]

Answer:

32 yards

Step-by-step explanation:

Carmen walked 30 yards due North and 12 yards West.

Now, if we join the initial and final position of Carmen and in this path Carmen comes back to her original position then the path, traveled by Carmen will form a right triangle and the direct path from her initial point to final point will be the hypotenuse of the right triangle.

Now, the two perpendicular legs of the triangle are respectively 30 yards and 12 yards.

Therefore, Carmen travel (Applying Pythagoras Theorem) to get back to her initial position by $\sqrt{30^{2} + 12^{2}} = 32.31$ yards ≈ 32 yards (to the nearest yard). (Answer)

6 0

3 years ago